Metrics for Bouland and Aaronson, Equation (25)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 33 to 20 computations (39.4% saved)

sample2.2s (24.3%)

Memory

66.9MiB live, 1 530.0MiB allocated

Samples

1.7s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 598.0ms (45.7% of total)

ival-add: 301.0ms (23% of total)

ival-sub: 250.0ms (19.1% of total)

ival-pow2: 139.0ms (10.6% of total)

exact: 12.0ms (0.9% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain329.0ms (3.7%)

Memory

-34.4MiB live, 611.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
59	-	0	-	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
32	-	0	-	`(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))`
29	-	4	(-1.7504266996037248e+92 -1.792116348988236e-160)	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(+.f64 (.f64 a a) (.f64 b b))`
0	-	0	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`
0	-	0	-	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(+.f64 #s(literal 1 binary64) a)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
0	-	0	-	`b`
0	-	0	-	`(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))`
0	-	0	-	`(*.f64 #s(literal 3 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`	nan-rescue	59	0
↳	`(*.f64 b b)`	overflow	67
↳	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`	overflow	161
↳	`(*.f64 a a)`	overflow	67
↳	`(+.f64 (.f64 a a) (.f64 b b))`	overflow	121
↳	`(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))`	overflow	1
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	95
↳	`(*.f64 a a)`	overflow	67
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	75
↳	`(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))`	overflow	138
↳	`(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))`	overflow	138
↳	`(*.f64 #s(literal 3 binary64) a)`	overflow	1
↳	`(*.f64 b b)`	overflow	67
`+.f64`	`(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))`	nan-rescue	32	0
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	95
↳	`(*.f64 a a)`	overflow	67
↳	`(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))`	overflow	1
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	75
↳	`(*.f64 #s(literal 3 binary64) a)`	overflow	1
↳	`(*.f64 b b)`	overflow	67

Confusion

	Predicted +	Predicted -
+	79	0
-	0	177

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	79	0	0
-	0	0	177

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	177
1	67
2	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms	486×	0	valid
4.0ms	16×	1	valid
3.0ms	10×	2	valid

Compiler

Compiled 488 to 80 computations (83.6% saved)

Precisions

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

ival-mult: 20.0ms (39.5% of total)

ival-add: 16.0ms (31.6% of total)

ival-sub: 6.0ms (11.9% of total)

ival-pow2: 6.0ms (11.9% of total)

adjust: 1.0ms (2% of total)

ival-true: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

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

preprocess209.0ms (2.3%)

Memory

27.8MiB live, 306.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	159
1	171	157
2	705	155
3	2928	155
4	6926	155
0	19	31
0	32	31
1	70	31
2	196	31
3	596	31
4	1960	31
5	3484	31
0	8178	26

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 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #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 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

(fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))))

Symmetry

(abs b)

Compiler

Compiled 31 to 19 computations (38.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.0%	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Status

Accuracy

Program

▶

69.0%

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify208.0ms (2.3%)

Memory

-3.0MiB live, 191.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))
cost-diff	128	(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
cost-diff	128	(+.f64 (.f64 a a) (.f64 b b))
cost-diff	128	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	151
0	32	151
1	70	151
2	196	151
3	596	151
4	1960	151
5	3484	151
0	8178	130

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 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) 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 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
(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 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))
#s(literal 4 binary64)
(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (fma.f64 (.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (.f64 b b)) #s(literal 4 binary64) (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 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(fma.f64 (fma.f64 (.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (.f64 b b))
(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))
(*.f64 (fma.f64 a a a) a)
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

localize107.0ms (1.2%)

Memory

-18.9MiB live, 99.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
accuracy	6.289894024829581	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy	6.9843502299624705	(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
accuracy	11.757812500000002	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))

Samples

62.0ms	243×	0	valid
2.0ms	8×	1	valid
2.0ms	5×	2	valid

Compiler

Compiled 304 to 40 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 32.0ms (66.9% of total)

ival-pow2: 7.0ms (14.6% of total)

ival-add: 5.0ms (10.5% of total)

ival-sub: 2.0ms (4.2% of total)

adjust: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

6 → 45

Calls

Call 1

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

Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 a))
(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 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(* -3 (* a (pow b 2)))
(* a (+ (* -3 (pow b 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))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(* (pow b 2) (- 1 (* 3 a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))
2.0ms	a	@	-inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))
2.0ms	a	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))
2.0ms	a	@	0	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))
2.0ms	b	@	0	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))

simplify197.0ms (2.2%)

Memory

28.6MiB live, 216.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	755
1	565	733
2	1717	713
3	5212	695
0	8392	618

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

Calls

Call 1

Inputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 a))
(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 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(* -3 (* a (pow b 2)))
(* a (+ (* -3 (pow b 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))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(* (pow b 2) (- 1 (* 3 a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (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)))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (.f64 #s(literal 4 binary64) b) b (fma.f64 (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) a (pow.f64 b #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (.f64 b b) (fma.f64 (.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(fma.f64 (fma.f64 #s(literal -3 binary64) (.f64 b b) a) a (.f64 b b))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(fma.f64 (fma.f64 #s(literal -3 binary64) (.f64 b b) (fma.f64 a a a)) a (.f64 b b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 a))
(*.f64 (fma.f64 a a a) a)
(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) a) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)) (.f64 a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(fma.f64 a a (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (fma.f64 #s(literal -3 binary64) b (/.f64 b a)) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))))
(* -3 (* a (pow b 2)))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 b b)) a)
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (.f64 b (fma.f64 #s(literal -3 binary64) b (/.f64 b a))) a) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 b b))) b) b (fma.f64 (.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 (fma.f64 #s(literal -3 binary64) (.f64 b b) (fma.f64 a a a)) a (.f64 b b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(fma.f64 (.f64 (.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) b) b) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (.f64 b b))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (.f64 b b))) #s(literal 1 binary64)) (*.f64 b b))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))

rewrite310.0ms (3.4%)

Memory

-47.8MiB live, 248.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	78
0	30	78
1	128	78
2	1083	78
0	8159	63

Stop Event

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

Counts

6 → 497

Calls

Call 1

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

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

eval100.0ms (1.1%)

Memory: 14.7MiB live, 98.9MiB allocated
Compiler: Compiled 32 813 to 2 710 computations (91.7% saved)

prune13.0ms (0.1%)

Memory

-6.7MiB live, 31.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	530	6	536
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	531	6	537

Accuracy

100.0%

Counts

537 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.0%	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
▶	52.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	63.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	73.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
	70.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	64.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64))

Compiler

Compiled 498 to 316 computations (36.5% saved)

simplify183.0ms (2%)

Memory

23.5MiB live, 217.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 a a a) a)
cost-diff	0	(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff	0	(*.f64 b b)
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff	6144	(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
cost-diff	0	(pow.f64 a #s(literal 4 binary64))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff	0	(*.f64 b b)
cost-diff	0	(.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64))
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) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
cost-diff	128	(+.f64 (.f64 a a) (.f64 b b))
cost-diff	128	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	555
0	68	555
1	138	543
2	318	543
3	786	543
4	2081	543
5	3326	543
6	6687	543
0	8104	497

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) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a 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) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
(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) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))
(*.f64 b b)
b
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))
#s(literal -12 binary64)
a
(fma.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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(*.f64 b b)
b
#s(literal 4 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
a
#s(literal 4 binary64)
(pow.f64 a #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) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (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) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))
(.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(*.f64 b b)
b
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))
#s(literal -12 binary64)
a
(fma.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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(*.f64 b b)
b
#s(literal 4 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
a
#s(literal 4 binary64)
(pow.f64 a #s(literal 4 binary64))
#s(literal 1 binary64)

localize178.0ms (2%)

Memory

-53.6MiB live, 103.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
accuracy	0.04296875	(*.f64 (fma.f64 a a a) a)
accuracy	11.174160009768444	(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
accuracy	20.973095371034777	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
accuracy	0.0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (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	0.020195019536884032	(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
accuracy	29.020418303112308	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
accuracy	0.0	(pow.f64 a #s(literal 4 binary64))
accuracy	0.0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy	27.16133778881384	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
accuracy	0.0	(*.f64 b b)
accuracy	0.0078125	(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))
accuracy	6.323262477234131	(.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))
accuracy	28.5875213656991	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))))
accuracy	0.04296875	(*.f64 (fma.f64 a a a) a)
accuracy	0.12109375	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
accuracy	11.757812500000002	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
accuracy	26.63265546803393	#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))

Samples

148.0ms	246×	0	valid
3.0ms	6×	1	valid
2.0ms	4×	2	valid

Compiler

Compiled 1 022 to 81 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-pow: 34.0ms (50.5% of total)

ival-mult: 16.0ms (23.8% of total)

ival-add: 10.0ms (14.9% of total)

ival-pow2: 3.0ms (4.5% of total)

ival-sub: 2.0ms (3% of total)

adjust: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series14.0ms (0.2%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

20 → 71

Calls

Call 1

Inputs
(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
(+.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) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))
(*.f64 b b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 a a a) a)
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))

Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (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 b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(pow a 4)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(pow a 2)
(* (pow a 2) (+ 1 a))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(+ 4 (pow b 2))
(+ 4 (+ (* -12 a) (pow b 2)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* -12 (* a (pow b 2)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(* -12 a)
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* (pow b 2) (+ 4 (* -12 a)))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(* 4 (pow b 2))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ 4 (* -12 a))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (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 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (+ (* a a) a) a) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* -12 a) (+ (* b b) 4)))
2.0ms	a	@	-inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (+ (* a a) a) a) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* -12 a) (+ (* b b) 4)))
2.0ms	b	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (+ (* a a) a) a) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* -12 a) (+ (* b b) 4)))
2.0ms	a	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (+ (* a a) a) a) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* -12 a) (+ (* b b) 4)))
2.0ms	b	@	-inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (+ (* a a) a) a) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* -12 a) (+ (* b b) 4)))

simplify171.0ms (1.9%)

Memory

-9.0MiB live, 146.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	1191
1	738	1146
2	2230	1113
3	6563	1085
0	8293	960

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 71

Calls

Call 1

Inputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (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 b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(pow a 4)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(pow a 2)
(* (pow a 2) (+ 1 a))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(+ 4 (pow b 2))
(+ 4 (+ (* -12 a) (pow b 2)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* -12 (* a (pow b 2)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(* -12 a)
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* (pow b 2) (+ 4 (* -12 a)))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(* 4 (pow b 2))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ 4 (* -12 a))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (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 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))

Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(.f64 (.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (.f64 #s(literal 4 binary64) b) b (fma.f64 (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) a (pow.f64 b #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(fma.f64 (.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (fma.f64 (.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #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 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (.f64 #s(literal 4 binary64) a)) a (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(fma.f64 (.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (fma.f64 (.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(fma.f64 (.f64 (.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ 4 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(.f64 (.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* 4 (pow a 2))
(.f64 (.f64 a a) #s(literal 4 binary64))
(* (pow a 2) (+ 4 (* 4 a)))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 a))
(*.f64 (fma.f64 a a a) a)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(fma.f64 (fma.f64 #s(literal -3 binary64) (.f64 b b) a) a (.f64 b b))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(fma.f64 (fma.f64 #s(literal -3 binary64) (.f64 b b) (fma.f64 a a a)) a (.f64 b b))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (+ (* -12 a) (pow b 2)))
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) b) (*.f64 a a)) b (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) (fma.f64 (.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* -12 (* a (pow b 2)))
(.f64 (.f64 (*.f64 b b) a) #s(literal -12 binary64))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(.f64 (.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) 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 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)) (.f64 a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (fma.f64 #s(literal -3 binary64) b (/.f64 b a)) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64)))
(* -12 a)
(*.f64 #s(literal -12 binary64) a)
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b b #s(literal 4 binary64)) #s(literal -12 binary64)) a)
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(.f64 (.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 b b) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) a))) a)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(neg.f64 (fma.f64 #s(literal 12 binary64) a (-.f64 #s(literal -4 binary64) (*.f64 b b))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) b) b))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) (.f64 b b) #s(literal -1 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(fma.f64 (.f64 (.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))
(+ (* (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)))
(* (pow b 2) (+ 4 (* -12 a)))
(.f64 (.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(.f64 (.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(* 4 (pow b 2))
(.f64 (.f64 b b) #s(literal 4 binary64))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 (fma.f64 #s(literal -3 binary64) (.f64 b b) (fma.f64 a a a)) a (.f64 b b))
(+ 4 (* -12 a))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (.f64 b b))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(-.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (.f64 b b))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(.f64 (+.f64 (fma.f64 (/.f64 a (.f64 b b)) #s(literal -12 binary64) (/.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)))))
(.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (.f64 b b))) #s(literal 1 binary64)) (*.f64 b b))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(.f64 (fma.f64 (fma.f64 (/.f64 a (.f64 b b)) #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) b b) b)

rewrite213.0ms (2.4%)

Memory

2.4MiB live, 198.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	477
0	68	477
1	331	466
2	2731	466
0	8447	410

Stop Event

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

Counts

20 → 498

Calls

Call 1

Inputs
(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
(+.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) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))
(*.f64 b b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 a a a) a)
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))

Outputs
(.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (-.f64 (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (-.f64 (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (-.f64 (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (-.f64 (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))) (.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) (.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64)))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (-.f64 (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))) #s(literal 4 binary64))))))
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(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 a #s(literal 6 binary64))) (.f64 a (-.f64 a (.f64 a a))))
(/.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 a #s(literal 9 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 a #s(literal 5 binary64)))))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a a))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 a a))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 a a))
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 (.f64 a a) a (.f64 a a))
(fma.f64 a (.f64 a a) (.f64 a a))
(fma.f64 a a (pow.f64 a #s(literal 3 binary64)))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(+.f64 (*.f64 a a) (pow.f64 a #s(literal 3 binary64)))
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
(.f64 (-.f64 (.f64 #s(literal 144 binary64) (.f64 a a)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 #s(literal -12 binary64) a) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 144 binary64) (.f64 a a) (.f64 (fma.f64 b b #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 #s(literal -12 binary64) a)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 #s(literal -12 binary64) a) (fma.f64 b b #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 144 binary64) (*.f64 a a)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 144 binary64) (.f64 a a) (.f64 (fma.f64 b b #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) a)))) (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a (.f64 b b)) #s(literal 2 binary64)) #s(literal 16 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal -12 binary64) a (.f64 b b)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 144 binary64) (.f64 a a)))) (neg.f64 (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a (.f64 b b)) #s(literal 3 binary64)) #s(literal 64 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a (.f64 b b)) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (fma.f64 #s(literal -12 binary64) a (.f64 b b)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 144 binary64) (.f64 a a)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -12 binary64) a) (fma.f64 b b #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 144 binary64) (.f64 a a) (.f64 (fma.f64 b b #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) a)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 144 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal -12 binary64) a) (fma.f64 b b #s(literal 4 binary64)))) (.f64 (-.f64 (.f64 #s(literal -12 binary64) a) (fma.f64 b b #s(literal 4 binary64))) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(literal -12 binary64) a) (fma.f64 b b #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -12 binary64) a) (fma.f64 b b #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a (.f64 b b)) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a (.f64 b b)) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 144 binary64) (.f64 a a))) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) a)))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a (.f64 b b)) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a (.f64 b b)) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (fma.f64 #s(literal -12 binary64) a (.f64 b b)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 144 binary64) (.f64 a a)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -12 binary64) a) (fma.f64 b b #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 144 binary64) (.f64 a a)) (.f64 (.f64 #s(literal -12 binary64) a) (fma.f64 b b #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 144 binary64) (.f64 a a) (.f64 (fma.f64 b b #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) a))))))
(/.f64 (-.f64 (.f64 #s(literal 144 binary64) (.f64 a a)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -12 binary64) a) (fma.f64 b b #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal -12 binary64) a) (fma.f64 b b #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 144 binary64) (*.f64 a a)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 144 binary64) (.f64 a a) (.f64 (fma.f64 b b #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) a)))) (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64))))))
(/.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 144 binary64) (.f64 a a)) (.f64 (.f64 #s(literal -12 binary64) a) (fma.f64 b b #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 144 binary64) (.f64 a a) (.f64 (fma.f64 b b #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -12 binary64) a) (fma.f64 b b #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 144 binary64) (*.f64 a a)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 144 binary64) (.f64 a a) (.f64 (fma.f64 b b #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) a)))) (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64)))))
(fma.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 b b #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -12 binary64) a))
(fma.f64 (+.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal -1 binary64)) (*.f64 #s(literal -12 binary64) a))
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b b (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a)))
(fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 144 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal -12 binary64) a) (fma.f64 b b #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -12 binary64) a) (fma.f64 b b #s(literal 4 binary64)))))
(+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b))
(+.f64 (fma.f64 #s(literal -12 binary64) a (*.f64 b b)) #s(literal 4 binary64))
(+.f64 (*.f64 #s(literal -12 binary64) a) (fma.f64 b b #s(literal 4 binary64)))
(+.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) a))
(+.f64 #s(literal 4 binary64) (fma.f64 #s(literal -12 binary64) a (*.f64 b b)))
(+.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal -12 binary64) a)))

eval101.0ms (1.1%)

Memory: -2.1MiB live, 122.2MiB allocated
Compiler: Compiled 43 435 to 2 389 computations (94.5% saved)

prune18.0ms (0.2%)

Memory

1.2MiB live, 39.9MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	608	9	617
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	612	11	623

Accuracy

100.0%

Counts

623 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	73.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
	74.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
	63.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64))
	73.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
▶	40.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
	52.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	51.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	74.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
▶	63.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
▶	90.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))))

Compiler

Compiled 905 to 544 computations (39.9% saved)

simplify244.0ms (2.7%)

Memory

11.0MiB live, 252.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 4 binary64) a)
cost-diff	0	(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
cost-diff	0	(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)
cost-diff	0	#s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 b b #s(literal 4 binary64))
cost-diff	0	(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
cost-diff	0	(.f64 (.f64 b b) #s(literal 4 binary64))
cost-diff	0	#s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64))))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))))
cost-diff	320	(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))
cost-diff	320	(fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	544
0	81	537
1	167	529
2	355	525
3	980	525
4	3344	516
5	5390	516
0	8053	479

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b)
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(*.f64 a a)
a
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
#s(literal -3 binary64)
#s(literal 1 binary64)
b
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 #s(literal 4 binary64) (.f64 b b)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 #s(literal 4 binary64) (.f64 b b))))
#s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))
#s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 #s(literal 4 binary64) (.f64 b b)))
(.f64 (.f64 b b) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 b b))
(*.f64 b b)
b
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(*.f64 b b)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)))
#s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
a
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
(*.f64 a a)
#s(literal -1 binary64)

localize131.0ms (1.5%)

Memory

9.5MiB live, 121.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 4 binary64) a)
accuracy	0.0	(*.f64 a a)
accuracy	0.0625	(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
accuracy	16.515117989669694	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
accuracy	0.04296875	(.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)
accuracy	20.973095371034777	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)))
accuracy	25.736948899573235	#s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))
accuracy	0.0	(fma.f64 b b #s(literal 4 binary64))
accuracy	0.0	(*.f64 b b)
accuracy	0.06478500976844201	(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
accuracy	23.452635855168523	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
accuracy	0.0	(*.f64 b b)
accuracy	0.020195019536884032	(.f64 (.f64 b b) #s(literal 4 binary64))
accuracy	11.078555634698976	#s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))
accuracy	29.020418303112308	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64))))
accuracy	0.015625	(fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))
accuracy	0.0625	(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
accuracy	5.6653672089585925	(.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b)
accuracy	6.028645688419539	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))))

Samples

90.0ms	243×	0	valid
9.0ms	5×	2	valid
5.0ms	8×	1	valid

Compiler

Compiled 971 to 108 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 31.0ms (37.3% of total)

ival-pow: 26.0ms (31.3% of total)

ival-add: 18.0ms (21.7% of total)

ival-sub: 3.0ms (3.6% of total)

ival-pow2: 3.0ms (3.6% of total)

adjust: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series23.0ms (0.3%)

Memory

-27.7MiB live, 19.3MiB allocated

Counts

23 → 80

Calls

Call 1

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

Outputs
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 a)
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(* 4 a)
(* a (+ 4 (* 4 a)))
(pow a 2)
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* -12 a)
(* a (- (* 4 (/ 1 a)) 12))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
a
(* a (+ 1 (* 4 (/ 1 a))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* (pow a 2) (+ 4 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* -1 (* a (- 12 (* 4 (/ 1 a)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(+ 4 (pow b 2))
(pow b 2)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (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)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	((+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* (+ (* 4 a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (+ 4 a) (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) (* (+ (* 4 a) 4) a) (* a a))
5.0ms	b	@	0	((+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* (+ (* 4 a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (+ 4 a) (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) (* (+ (* 4 a) 4) a) (* a a))
3.0ms	b	@	inf	((+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* (+ (* 4 a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (+ 4 a) (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) (* (+ (* 4 a) 4) a) (* a a))
3.0ms	b	@	-inf	((+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* (+ (* 4 a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (+ 4 a) (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) (* (+ (* 4 a) 4) a) (* a a))
2.0ms	a	@	inf	((+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* (+ (* 4 a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (+ 4 a) (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) (* (+ (* 4 a) 4) a) (* a a))

simplify159.0ms (1.8%)

Memory

17.3MiB live, 128.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	1181
1	728	1127
2	2132	1042
3	6175	1024
0	8253	905

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 79

Calls

Call 1

Inputs
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 a)
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(* 4 a)
(* a (+ 4 (* 4 a)))
(pow a 2)
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* -12 a)
(* a (- (* 4 (/ 1 a)) 12))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
a
(* a (+ 1 (* 4 (/ 1 a))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* (pow a 2) (+ 4 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* -1 (* a (- 12 (* 4 (/ 1 a)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(+ 4 (pow b 2))
(pow b 2)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (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)))))

Outputs
4
#s(literal 4 binary64)
(+ 4 (* -12 a))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(+ 4 (* a (- (* 2 a) 12)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64))) b #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(+.f64 (fma.f64 (.f64 a a) #s(literal 4 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64))) b (fma.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64) #s(literal -1 binary64)))
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(fma.f64 (.f64 a a) #s(literal 4 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64) #s(literal -1 binary64)))
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (pow.f64 b #s(literal 4 binary64)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (.f64 (*.f64 a a) #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64))) b (*.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64)))
(* 4 (pow a 2))
(.f64 (.f64 a a) #s(literal 4 binary64))
(* (pow a 2) (+ 4 (* 4 a)))
(*.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(fma.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(+ 4 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (+ 4 a)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+ 4 a)
(+.f64 #s(literal 4 binary64) a)
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(+ (* -12 (* a b)) (* 4 b))
(*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b)
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 (* 4 a)))
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
(pow a 2)
(*.f64 a a)
(* 2 (pow a 2))
(.f64 (.f64 a a) #s(literal 2 binary64))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) a) a)
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(*.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) a)) a)
(* -12 a)
(*.f64 #s(literal -12 binary64) a)
(* a (- (* 4 (/ 1 a)) 12))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) (fma.f64 (/.f64 (/.f64 b a) a) (.f64 #s(literal 2 binary64) b) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) (fma.f64 (/.f64 (/.f64 b a) a) (.f64 b (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a))) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* 4 (pow a 3))
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 4 binary64))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(*.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 4 binary64) a) a)
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
a
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(* 2 (* (pow a 2) b))
(.f64 (.f64 (*.f64 b a) a) #s(literal 2 binary64))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(.f64 (.f64 (*.f64 b (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a))) a) a)
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(.f64 (.f64 b (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 4 binary64) a)) a))) (*.f64 a a))
(* (pow a 2) (+ 4 (* 4 (/ 1 a))))
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(*.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) a)) a)
(* -1 (* a (- 12 (* 4 (/ 1 a)))))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (fma.f64 (/.f64 b a) #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) b)) a)) a) a)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64))) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64))) b (.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(* 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)))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) 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 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (+.f64 (fma.f64 (/.f64 (*.f64 a a) b) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b)
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (fma.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) b) b)) #s(literal -12 binary64)) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 a a) b) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))

rewrite259.0ms (2.9%)

Memory

-3.4MiB live, 116.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	491
0	81	484
1	401	473
2	3367	473
0	8542	430

Stop Event

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

Counts

23 → 318

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (.f64 (.f64 a a) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (.f64 (*.f64 a a) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (.f64 (*.f64 a a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (*.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (.f64 (*.f64 a a) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (*.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (.f64 (*.f64 a a) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (.f64 (*.f64 a a) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)))))
(fma.f64 #s(literal -12 binary64) a (+.f64 #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 (.f64 #s(literal 4 binary64) a) #s(literal -3 binary64) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal -3 binary64) a) #s(literal 4 binary64) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64))))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64))))
(fma.f64 #s(literal 4 binary64) (.f64 #s(literal -3 binary64) a) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64))))
(fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 (.f64 a a) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))))
(fma.f64 a (*.f64 #s(literal 2 binary64) a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (*.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(+.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))
(+.f64 (.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (.f64 (.f64 a a) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a))) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 a a) #s(literal -1 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 a a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (*.f64 a a)))) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 9 binary64) (.f64 a a) #s(literal -1 binary64))) (fma.f64 #s(literal -3 binary64) a #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 a a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (.f64 #s(literal -12 binary64) a) #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (*.f64 #s(literal -12 binary64) a) #s(literal 4 binary64)))))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) a) #s(literal -3 binary64) #s(literal 4 binary64))
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(+.f64 (.f64 (.f64 #s(literal 4 binary64) a) a) (*.f64 #s(literal 4 binary64) a))
(+.f64 (.f64 a (.f64 #s(literal 4 binary64) a)) (*.f64 #s(literal 4 binary64) a))
(+.f64 (.f64 #s(literal 4 binary64) a) (.f64 (*.f64 #s(literal 4 binary64) a) a))
(+.f64 (.f64 #s(literal 4 binary64) a) (.f64 a (*.f64 #s(literal 4 binary64) a)))
(.f64 (.f64 a a) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 a a))
(*.f64 a a)
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))

eval104.0ms (1.1%)

Memory: -21.0MiB live, 65.3MiB allocated
Compiler: Compiled 33 271 to 1 789 computations (94.6% saved)

prune19.0ms (0.2%)

Memory

31.4MiB live, 31.4MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	460	10	470
Fresh	3	1	4
Picked	4	1	5
Done	2	0	2
Total	469	12	481

Accuracy

100.0%

Counts

481 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
✓	63.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
	74.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
▶	63.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
▶	81.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
	40.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
▶	73.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (.f64 (+.f64 #s(literal 4 binary64) a) a)) (.f64 a a) #s(literal -1 binary64)))
	40.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
	50.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
▶	52.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
▶	24.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
	51.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))

Compiler

Compiled 1 095 to 651 computations (40.5% saved)

simplify232.0ms (2.6%)

Memory

-9.4MiB live, 148.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	467
0	76	467
1	150	459
2	331	451
3	894	451
4	2726	451
5	4429	451
0	8582	418

Stop Event

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

Calls

Call 1

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

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

localize103.0ms (1.1%)

Memory

-6.5MiB live, 67.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a a)
accuracy	0.0625	(fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (.f64 (+.f64 #s(literal 4 binary64) a) a)) (.f64 a a) #s(literal -1 binary64))
accuracy	16.515117989669694	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (.f64 (+.f64 #s(literal 4 binary64) a) a)) (.f64 a a) #s(literal -1 binary64)))
accuracy	27.3119996430092	#s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a))
accuracy	0.0	(fma.f64 b b #s(literal 4 binary64))
accuracy	0.04296875	(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
accuracy	0.046875	(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
accuracy	23.452635855168523	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
accuracy	0.0	(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
accuracy	0.0	(*.f64 a a)
accuracy	16.515117989669694	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
accuracy	18.012882836387902	#s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy	16.515117989669694	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
accuracy	35.911043812112055	#s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64))
accuracy	0.0625	(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
accuracy	5.6653672089585925	(.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b)
accuracy	6.028645688419539	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
accuracy	27.55505628379558	#s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64)))

Samples

74.0ms

256×

valid

Compiler

Compiled 830 to 98 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 38.0ms (66% of total)

ival-add: 14.0ms (24.3% of total)

ival-pow2: 3.0ms (5.2% of total)

ival-sub: 2.0ms (3.5% of total)

exact: 1.0ms (1.7% of total)

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

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

series12.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

19 → 63

Calls

Call 1

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

Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(pow a 2)
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(* 4 a)
(* a (+ 4 a))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(* 4 (pow a 2))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(* b (+ 4 (pow b 2)))
(+ 4 (pow b 2))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 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 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (* a a) 4) -1) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (* (+ 4 a) a) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1))
2.0ms	b	@	inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (* a a) 4) -1) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (* (+ 4 a) a) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1))
2.0ms	b	@	0	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (* a a) 4) -1) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (* (+ 4 a) a) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1))
1.0ms	a	@	inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (* a a) 4) -1) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (* (+ 4 a) a) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1))
1.0ms	a	@	-inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (* a a) 4) -1) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (* (+ 4 a) a) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1))

simplify245.0ms (2.7%)

Memory

3.6MiB live, 123.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	890
1	697	848
2	2054	791
3	7073	779
0	8193	680

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 63

Calls

Call 1

Inputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(pow a 2)
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(* 4 a)
(* a (+ 4 a))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(* 4 (pow a 2))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(* b (+ 4 (pow b 2)))
(+ 4 (pow b 2))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 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 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))

Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64))) b #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(-.f64 (fma.f64 (.f64 #s(literal 4 binary64) (fma.f64 a a a)) a (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(-.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (.f64 (*.f64 a a) #s(literal 4 binary64))) #s(literal 1 binary64))
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(-.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(+ (* -12 (* a b)) (* 4 b))
(*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b)
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
4
#s(literal 4 binary64)
(+ 4 (* -12 a))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(+ 4 (* a (- (* 2 a) 12)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(fma.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(pow a 2)
(*.f64 a a)
(+ 4 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (+ 4 a)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 a))
(*.f64 (+.f64 #s(literal 4 binary64) a) a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) (fma.f64 (/.f64 (/.f64 b a) a) (.f64 #s(literal 2 binary64) b) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) (fma.f64 (.f64 (/.f64 (/.f64 b a) a) b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* 2 (* (pow a 2) b))
(.f64 (.f64 (*.f64 a a) #s(literal 2 binary64)) b)
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(.f64 b (.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(* 2 (pow a 2))
(.f64 (.f64 a a) #s(literal 2 binary64))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a)
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow a 2))
(.f64 (.f64 a a) #s(literal 4 binary64))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 4 binary64) a) a)
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(fma.f64 (fma.f64 (/.f64 b a) #s(literal 4 binary64) (.f64 #s(literal -12 binary64) b)) a (.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) b))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64))) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(* b (+ 4 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(fma.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)) (.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b)
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (fma.f64 (.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) b) b)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (.f64 b b) #s(literal -1 binary64))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 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)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))

rewrite215.0ms (2.4%)

Memory

-32.6MiB live, 129.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	429
0	76	429
1	331	421
2	2803	421
0	8717	383

Stop Event

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

Counts

19 → 227

Calls

Call 1

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

Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (neg.f64 (pow.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b)) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) (.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b))) (pow.f64 (.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (*.f64 b b)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b)) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (neg.f64 (pow.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b))) (pow.f64 (.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b)) #s(literal 2 binary64))) (fma.f64 (pow.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (*.f64 b b))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (*.f64 b b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (*.f64 b b))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (neg.f64 (pow.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b)) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) (.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b))) (pow.f64 (.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (*.f64 b b)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b)) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b)) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))) (.f64 (-.f64 (.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b)) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b)) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))) (-.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b)) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (*.f64 b b))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 b b)) #s(literal 2 binary64))) (-.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)) (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) (*.f64 b b))))
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(fma.f64 (*.f64 #s(literal 4 binary64) a) a #s(literal -1 binary64))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 a (*.f64 #s(literal 4 binary64) a) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (.f64 a a) #s(literal 4 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) #s(literal 4 binary64)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(.f64 (.f64 a a) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 a a))
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(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
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(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
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(/.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))))
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(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 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) #s(literal 2 binary64)) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal 1 binary64))) (pow.f64 (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
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(/.f64 (neg.f64 (*.f64 b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)))) (neg.f64 (fma.f64 b b #s(literal -4 binary64))))
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(/.f64 (*.f64 b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 b b #s(literal -4 binary64)))
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(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 #s(literal 4 binary64) b))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 binary64)))
(fma.f64 (.f64 b b) b (.f64 #s(literal 4 binary64) b))
(fma.f64 (.f64 b b) b (.f64 b #s(literal 4 binary64)))
(fma.f64 b #s(literal 4 binary64) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 b (.f64 b b) (.f64 #s(literal 4 binary64) b))
(fma.f64 b (.f64 b b) (.f64 b #s(literal 4 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) b) (pow.f64 b #s(literal 3 binary64)))
(+.f64 (*.f64 b #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64)))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) b))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b #s(literal 4 binary64)))
(*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 b b #s(literal -4 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 b b #s(literal -4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) (+.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b))))
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(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) #s(literal 4 binary64))
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(+.f64 #s(literal 4 binary64) (*.f64 b b))
(+.f64 (*.f64 b b) #s(literal 4 binary64))
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(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (.f64 (+.f64 #s(literal 4 binary64) a) a)) (.f64 a a) #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
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eval44.0ms (0.5%)

Memory: 14.8MiB live, 52.3MiB allocated
Compiler: Compiled 20 562 to 1 220 computations (94.1% saved)

prune46.0ms (0.5%)

Memory

-1.4MiB live, 37.6MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	300	4	304
Fresh	0	6	6
Picked	2	3	5
Done	0	1	1
Total	302	14	316

Accuracy

100.0%

Counts

316 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
✓	63.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
	74.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
	73.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64)))
✓	81.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
	63.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
	40.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
	39.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (.f64 #s(literal 4 binary64) a))) (.f64 a a) #s(literal -1 binary64)))
	40.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
	50.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
✓	52.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
	29.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64)))))
✓	24.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
	51.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))

Compiler

Compiled 2 078 to 575 computations (72.3% saved)

regimes83.0ms (0.9%)

Memory

9.1MiB live, 92.0MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (.f64 #s(literal 4 binary64) a))) (.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (.f64 (+.f64 #s(literal 4 binary64) a) a)) (.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #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) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #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 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #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) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))

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

Calls

5 calls:

44.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
11.0ms	b
9.0ms	a
8.0ms	(*.f64 b b)
8.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.9%	2	`a`
98.8%	3	`b`
99.9%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
99.9%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
98.8%	3	`(*.f64 b b)`

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes27.0ms (0.3%)

Memory

15.2MiB live, 51.5MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (.f64 #s(literal 4 binary64) a))) (.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (.f64 (+.f64 #s(literal 4 binary64) a) a)) (.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))

Outputs

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

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

Calls

3 calls:

10.0ms

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

8.0ms

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

Results

Accuracy	Segments	Branch
99.2%	3	`a`
90.5%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
90.5%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`

Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes10.0ms (0.1%)

Memory

-20.6MiB live, 18.3MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (.f64 #s(literal 4 binary64) a))) (.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (.f64 (+.f64 #s(literal 4 binary64) a) a)) (.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes23.0ms (0.3%)

Memory

-8.4MiB live, 40.5MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (.f64 #s(literal 4 binary64) a))) (.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (.f64 (+.f64 #s(literal 4 binary64) a) a)) (.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64))

Outputs

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

(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64))

Calls

3 calls:

10.0ms	b
6.0ms	a
6.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
96.6%	2	`b`
96.6%	2	`(*.f64 b b)`
95.1%	3	`a`

Compiler

Compiled 5 to 7 computations (-40% saved)

regimes13.0ms (0.1%)

Memory

26.1MiB live, 26.1MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

6.0ms	b
5.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
95.9%	2	`b`
95.9%	2	`(*.f64 b b)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes13.0ms (0.1%)

Memory

-15.2MiB live, 23.5MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.4%	2	`b`
95.4%	2	`(*.f64 b b)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes11.0ms (0.1%)

Memory

-14.6MiB live, 23.3MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

6.0ms	b
4.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes9.0ms (0.1%)

Memory

25.6MiB live, 25.5MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.1%	2	`b`
95.1%	2	`(*.f64 b b)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes20.0ms (0.2%)

Memory

6.1MiB live, 45.4MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

4.0ms	(*.f64 b b)
4.0ms	b
4.0ms	a
4.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
3.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
66.7%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
66.7%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
86.1%	3	`a`
82.5%	2	`b`
82.5%	2	`(*.f64 b b)`

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes6.0ms (0.1%)

Memory

-36.3MiB live, 7.4MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
86.1%	3	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
72.4%	2	`b`
72.4%	2	`(*.f64 b b)`
74.8%	3	`a`

Compiler

Compiled 5 to 7 computations (-40% saved)

regimes8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
72.4%	2	`b`
72.4%	2	`(*.f64 b b)`
72.1%	3	`a`

Compiler

Compiled 5 to 7 computations (-40% saved)

regimes6.0ms (0.1%)

Memory

-27.1MiB live, 12.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
72.1%	3	`a`
56.2%	3	`b`
56.2%	3	`(*.f64 b b)`

Compiler

Compiled 5 to 7 computations (-40% saved)

regimes8.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

5 calls:

1.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
1.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
1.0ms	b
1.0ms	a
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
35.9%	2	`b`
35.9%	2	`(*.f64 b b)`
52.2%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
52.2%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
51.9%	3	`a`

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes7.0ms (0.1%)

Memory

-24.8MiB live, 15.0MiB allocated

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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))

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

Calls

5 calls:

1.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
1.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
1.0ms	b
1.0ms	a
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
24.3%	1	`b`
24.3%	1	`(*.f64 b b)`
24.3%	1	`a`
24.3%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
24.3%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`

Compiler

Compiled 65 to 44 computations (32.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch46.0ms (0.5%)

Memory

38.1MiB live, 77.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	3.3265070690757154e-47	1.575977748471507e-39
20.0ms	-9.002050759693002e-9	-1.427199482539842e-17

Samples

28.0ms

288×

valid

Compiler

Compiled 1 942 to 1 175 computations (39.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 10.0ms (48.8% of total)

ival-add: 5.0ms (24.4% of total)

ival-sub: 3.0ms (14.6% of total)

ival-pow2: 3.0ms (14.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

-33.9MiB live, 7.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3265070690757154e-47	1.575977748471507e-39
4.0ms	-9.002050759693002e-9	-1.427199482539842e-17

Compiler

Compiled 2 050 to 1 193 computations (41.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	937098660851219.3	9.823852176345422e+19

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	937098660851219.3	9.823852176345422e+19

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	937098660851219.3	9.823852176345422e+19

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	937098660851219.3	9.823852176345422e+19

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	937098660851219.3	9.823852176345422e+19

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch49.0ms (0.5%)

Memory

7.3MiB live, 85.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	7.565265897580178e+90	9.014539614556396e+106
20.0ms	-3.8149118062554976e+157	-9.151538488276657e+151

Samples

29.0ms

304×

valid

Compiler

Compiled 1 884 to 1 133 computations (39.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 11.0ms (49.3% of total)

ival-add: 5.0ms (22.4% of total)

ival-sub: 3.0ms (13.4% of total)

ival-pow2: 3.0ms (13.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.565265897580178e+90	9.014539614556396e+106
1.0ms	-3.8149118062554976e+157	-9.151538488276657e+151

Compiler

Compiled 1 979 to 1 152 computations (41.8% saved)

bsearch12.0ms (0.1%)

Memory

-17.6MiB live, 21.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	7.565265897580178e+90	9.014539614556396e+106
8.0ms	-3.8149118062554976e+157	-9.151538488276657e+151

Samples

5.0ms

48×

valid

Compiler

Compiled 2 435 to 1 418 computations (41.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (58.3% of total)

ival-add: 1.0ms (29.2% of total)

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

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

exact: 0.0ms (0% of total)

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

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

bsearch17.0ms (0.2%)

Memory

30.8MiB live, 30.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.9147587002627234e+306	+inf

Samples

10.0ms

112×

valid

Compiler

Compiled 872 to 527 computations (39.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (39.2% of total)

ival-add: 2.0ms (26.2% of total)

ival-sub: 1.0ms (13.1% of total)

ival-pow2: 1.0ms (13.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch34.0ms (0.4%)

Memory

-11.0MiB live, 33.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	2.4693150372235098e+147	2.1360735241239644e+156
1.0ms	-3.8149118062554976e+157	-9.151538488276657e+151

Samples

23.0ms

144×

valid

Compiler

Compiled 2 356 to 1 373 computations (41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (47.8% of total)

ival-add: 2.0ms (19.1% of total)

ival-sub: 1.0ms (9.6% of total)

ival-pow2: 1.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.15406468471393084	1.7801500512063646e+25

Compiler

Compiled 34 to 25 computations (26.5% saved)

simplify62.0ms (0.7%)

Memory

-1.6MiB live, 76.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1825
1	234	1825
2	424	1813
3	1022	1813
4	3273	1813
5	5750	1813

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -5440166188265831/604462909807314587353088 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 4750736176684255/3064991081731777716716694054300618367237478244367204352 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -5440166188265831/604462909807314587353088 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 4750736176684255/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (.f64 b b)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))))
(if (<=.f64 (.f64 b b) #s(literal 1000000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 1000000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 1000000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ 4 a) a) 4) (.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 1000000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (.f64 (+.f64 #s(literal 4 binary64) a) a)) (.f64 a a) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 1000000000000000 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -6700000000000000054035014153527739284720179873892274036474785760549303882418686500281659716191560473024057532938034192203192039791906967770348611337977856 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 3400000000000000046299154204280805075564827284447320045956024013425707097530679921720962654370483142656 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (.f64 #s(literal 4 binary64) a))) (.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -6700000000000000054035014153527739284720179873892274036474785760549303882418686500281659716191560473024057532938034192203192039791906967770348611337977856 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 3400000000000000046299154204280805075564827284447320045956024013425707097530679921720962654370483142656 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (.f64 b b)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (.f64 #s(literal 4 binary64) a))) (.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -6199999999999999961132955941628480421978962954668475296065771498560407326626729124323370957894342708049768352164283445415392977142771677167853094945423360 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 3400000000000000046299154204280805075564827284447320045956024013425707097530679921720962654370483142656 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (.f64 #s(literal 4 binary64) a))) (.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 43000000000000000272515705112467601782774421857560237318083467604812007573857217117259042273856309648100540808716534072778739137590300713583928215115843433719529635907778059657849353275714512736881733176014651788458230304817174027046998168676197168103911580329062882744563384556503781343143351334600594948096 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -6199999999999999961132955941628480421978962954668475296065771498560407326626729124323370957894342708049768352164283445415392977142771677167853094945423360 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64)))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))

Outputs
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -5440166188265831/604462909807314587353088 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 4750736176684255/3064991081731777716716694054300618367237478244367204352 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))))
(if (or (<=.f64 a #s(literal -5440166188265831/604462909807314587353088 binary64)) (not (<=.f64 a #s(literal 4750736176684255/3064991081731777716716694054300618367237478244367204352 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -5440166188265831/604462909807314587353088 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 4750736176684255/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (.f64 b b)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))))
(if (or (<=.f64 a #s(literal -5440166188265831/604462909807314587353088 binary64)) (not (<=.f64 a #s(literal 4750736176684255/3064991081731777716716694054300618367237478244367204352 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (* a a) 2) (* 4 (+ (* -3 a) 1))) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 1000000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 1000000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 1000000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ 4 a) a) 4) (.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 1000000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (.f64 (+.f64 #s(literal 4 binary64) a) a)) (.f64 a a) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 1000000000000000 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -6700000000000000054035014153527739284720179873892274036474785760549303882418686500281659716191560473024057532938034192203192039791906967770348611337977856 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 3400000000000000046299154204280805075564827284447320045956024013425707097530679921720962654370483142656 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 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 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (.f64 #s(literal 4 binary64) a))) (.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -6700000000000000054035014153527739284720179873892274036474785760549303882418686500281659716191560473024057532938034192203192039791906967770348611337977856 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 3400000000000000046299154204280805075564827284447320045956024013425707097530679921720962654370483142656 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (.f64 b b)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (.f64 #s(literal 4 binary64) a))) (.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -6199999999999999961132955941628480421978962954668475296065771498560407326626729124323370957894342708049768352164283445415392977142771677167853094945423360 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 3400000000000000046299154204280805075564827284447320045956024013425707097530679921720962654370483142656 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(approx (* (+ 4 a) a) (.f64 #s(literal 4 binary64) a))) (.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 43000000000000000272515705112467601782774421857560237318083467604812007573857217117259042273856309648100540808716534072778739137590300713583928215115843433719529635907778059657849353275714512736881733176014651788458230304817174027046998168676197168103911580329062882744563384556503781343143351334600594948096 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.f64 (.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -6199999999999999961132955941628480421978962954668475296065771498560407326626729124323370957894342708049768352164283445415392977142771677167853094945423360 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64)))))))
(if (or (<=.f64 a #s(literal -6199999999999999961132955941628480421978962954668475296065771498560407326626729124323370957894342708049768352164283445415392977142771677167853094945423360 binary64)) (not (<=.f64 a #s(literal 6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64))))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) b) b) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(approx (+ (* (* a a) 4) -1) (.f64 (.f64 a a) #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)))

soundness2.0s (22.3%)

Memory

14.6MiB live, 1 090.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	755
1	565	733
2	1717	713
3	5212	695
0	8392	618
0	44	477
0	68	477
1	331	466
2	2731	466
0	8447	410
0	54	491
0	81	484
1	401	473
2	3367	473
0	8542	430
0	224	1181
1	728	1127
2	2132	1042
3	6175	1024
0	8253	905
0	226	1191
1	738	1146
2	2230	1113
3	6563	1085
0	8293	960
0	53	429
0	76	429
1	331	421
2	2803	421
0	8717	383
0	217	890
1	697	848
2	2054	791
3	7073	779
0	8193	680

Stop Event

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

Compiler

Compiled 2 733 to 874 computations (68% saved)

preprocess132.0ms (1.5%)

Memory: 5.7MiB live, 160.5MiB allocated
Remove: (abs b)
Compiler: Compiled 3 984 to 468 computations (88.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.2s (24.3%)

explain329.0ms (3.7%)

preprocess209.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify208.0ms (2.3%)

localize107.0ms (1.2%)

series11.0ms (0.1%)

simplify197.0ms (2.2%)

rewrite310.0ms (3.4%)

eval100.0ms (1.1%)

prune13.0ms (0.1%)

simplify183.0ms (2%)

localize178.0ms (2%)

series14.0ms (0.2%)

simplify171.0ms (1.9%)

rewrite213.0ms (2.4%)

eval101.0ms (1.1%)

prune18.0ms (0.2%)

simplify244.0ms (2.7%)

localize131.0ms (1.5%)

series23.0ms (0.3%)

simplify159.0ms (1.8%)

rewrite259.0ms (2.9%)

eval104.0ms (1.1%)

prune19.0ms (0.2%)

simplify232.0ms (2.6%)

localize103.0ms (1.1%)

series12.0ms (0.1%)

simplify245.0ms (2.7%)

rewrite215.0ms (2.4%)

eval44.0ms (0.5%)

prune46.0ms (0.5%)

regimes83.0ms (0.9%)

regimes27.0ms (0.3%)

regimes10.0ms (0.1%)

regimes23.0ms (0.3%)

regimes13.0ms (0.1%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes20.0ms (0.2%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch46.0ms (0.5%)

bsearch6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch49.0ms (0.5%)

bsearch3.0ms (0%)

bsearch12.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch34.0ms (0.4%)

bsearch0.0ms (0%)

simplify62.0ms (0.7%)

soundness2.0s (22.3%)

preprocess132.0ms (1.5%)

end0.0ms (0%)

Profiling