Metrics for Bouland and Aaronson, Equation (25)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample1.6s (18.6%)

Memory

48.4MiB live, 1 688.4MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 891.0ms

ival-mult: 403.0ms (45.2% of total)

ival-add: 215.0ms (24.1% of total)

ival-sub: 158.0ms (17.7% of total)

ival-pow2: 93.0ms (10.4% of total)

exact: 11.0ms (1.2% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain316.0ms (3.6%)

Memory

-26.7MiB live, 600.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
42	-	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))))))`
23	-	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))))`
18	-	2	(624073220079.6609 -1.470375100705639e-161)	`(.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	42	0
↳	`(*.f64 b b)`	overflow	44
↳	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`	overflow	134
↳	`(*.f64 a a)`	overflow	55
↳	`(+.f64 (.f64 a a) (.f64 b b))`	overflow	91
↳	`(*.f64 b b)`	overflow	44
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	75
↳	`(*.f64 a a)`	overflow	55
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	57
↳	`(+.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	109
↳	`(.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	109
`+.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	23	0
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	75
↳	`(*.f64 a a)`	overflow	55
↳	`(*.f64 b b)`	overflow	44
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	57

Confusion

	Predicted +	Predicted -
+	55	0
-	0	201

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	55	0	0
-	0	0	201

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	201
1	45
2	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms	480×	0	valid
5.0ms	14×	2	valid
4.0ms	18×	1	valid

Compiler

Compiled 488 to 80 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 18.0ms (42.7% of total)

ival-add: 10.0ms (23.7% of total)

ival-sub: 5.0ms (11.9% of total)

ival-pow2: 5.0ms (11.9% of total)

adjust: 2.0ms (4.7% of total)

ival-true: 1.0ms (2.4% of total)

exact: 1.0ms (2.4% of total)

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

preprocess300.0ms (3.4%)

Memory

-20.2MiB live, 261.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	159
1	212	157
2	916	155
3	5135	155
0	19	31
0	32	31
1	90	31
2	354	31
3	1794	31
4	6712	31
0	8170	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 (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 (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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.4%	(-.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

▶

78.4%

(-.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)

simplify176.0ms (2%)

Memory

2.7MiB live, 157.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1	(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))
cost-diff	1	(+.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	1	(+.f64 (.f64 a a) (.f64 b b))
cost-diff	1	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.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	90	151
2	354	151
3	1794	151
4	6712	151
0	8170	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 (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 (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 (.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 (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 (.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 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 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (.f64 (fma.f64 a a a) a))
(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))
(*.f64 (fma.f64 a a a) a)
(+.f64 #s(literal 1 binary64) a)
(-.f64 a #s(literal -1 binary64))
#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)

localize102.0ms (1.2%)

Memory

10.0MiB live, 48.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.158535009768442	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
accuracy	4.054716238729056	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy	5.097635608302059	(+.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	8.382812500000002	(+.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

85.0ms	240×	0	valid
2.0ms	7×	2	valid
2.0ms	9×	1	valid

Compiler

Compiled 304 to 40 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-add: 62.0ms (79.1% of total)

ival-mult: 9.0ms (11.5% of total)

ival-sub: 3.0ms (3.8% of total)

ival-pow2: 3.0ms (3.8% of total)

adjust: 1.0ms (1.3% 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

13.3MiB live, 13.3MiB 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	@	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	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	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))

simplify248.0ms (2.8%)

Memory

-26.1MiB live, 131.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	781
1	623	757
2	2502	701
0	8371	633

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

rewrite350.0ms (4%)

Memory

-6.1MiB live, 209.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	78
0	30	78
1	149	78
2	1389	78
0	8483	63

Stop Event

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

Counts

6 → 818

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

eval142.0ms (1.6%)

Memory: 20.4MiB live, 142.5MiB allocated
Compiler: Compiled 50 676 to 4 234 computations (91.6% saved)

prune107.0ms (1.2%)

Memory

-39.8MiB live, 45.3MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	848	10	858
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	849	10	859

Accuracy

100.0%

Counts

859 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.2%	(-.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))
	78.5%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (+.f64 (.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))
▶	63.3%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (+.f64 (.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))
	58.2%	(-.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))
▶	86.8%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
	80.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a))) #s(literal 1 binary64))
▶	68.9%	(-.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))
	70.9%	(-.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))
	59.9%	(-.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 (fma.f64 #s(literal -2 binary64) (.f64 a a) (.f64 #s(literal -4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	67.7%	(-.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 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))

Compiler

Compiled 904 to 552 computations (38.9% saved)

simplify341.0ms (3.9%)

Memory

7.9MiB live, 168.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	752
0	95	753
1	203	737
2	694	737
3	3227	737
0	8579	684

Stop Event

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

Calls

Call 1

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

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

localize128.0ms (1.5%)

Memory

3.2MiB live, 76.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.046875	(*.f64 (fma.f64 a a a) a)
accuracy	0.158535009768442	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
accuracy	8.382812500000002	(+.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	28.225327930016718	#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
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	0.02734375	(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
accuracy	27.8066410824756	#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	4.054716238729056	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy	5.097635608302059	(+.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	8.382812500000002	(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (+.f64 (.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	20.39866538566838	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
accuracy	0.0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 b b)
accuracy	4.1125191326602994	(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
accuracy	28.645065389594944	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
accuracy	0.03515625	(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))
accuracy	1.4822076555285362	(.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)
accuracy	2.3863403426325105	(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
accuracy	8.63707273269272	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)))

Samples

61.0ms	240×	0	valid
5.0ms	7×	2	valid
4.0ms	8×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 1 374 to 100 computations (92.7% saved)

Precisions

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

ival-mult: 22.0ms (48.3% of total)

ival-add: 13.0ms (28.5% of total)

ival-sub: 3.0ms (6.6% of total)

ival-pow: 3.0ms (6.6% of total)

ival-pow2: 3.0ms (6.6% of total)

adjust: 2.0ms (4.4% of total)

exact: 1.0ms (2.2% of total)

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

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

series20.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

24 → 86

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	((- (+ (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) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) 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) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (- 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)))))) (+ (* (* b b) 4) (pow b 4)) (+ (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) (* (+ (* (* b b) 2) 4) a) (* (* (+ (* (* b b) 2) 4) a) a) (pow (+ (* a a) (* b b)) 2) (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* a a) a) a))
3.0ms	b	@	inf	((- (+ (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) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) 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) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (- 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)))))) (+ (* (* b b) 4) (pow b 4)) (+ (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) (* (+ (* (* b b) 2) 4) a) (* (* (+ (* (* b b) 2) 4) a) a) (pow (+ (* a a) (* b b)) 2) (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* a a) a) a))
3.0ms	a	@	-inf	((- (+ (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) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) 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) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (- 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)))))) (+ (* (* b b) 4) (pow b 4)) (+ (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) (* (+ (* (* b b) 2) 4) a) (* (* (+ (* (* b b) 2) 4) a) a) (pow (+ (* a a) (* b b)) 2) (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* a a) a) a))
3.0ms	a	@	inf	((- (+ (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) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) 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) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (- 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)))))) (+ (* (* b b) 4) (pow b 4)) (+ (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) (* (+ (* (* b b) 2) 4) a) (* (* (+ (* (* b b) 2) 4) a) a) (pow (+ (* a a) (* b b)) 2) (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* a a) a) a))
3.0ms	b	@	-inf	((- (+ (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) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) 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) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (- 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)))))) (+ (* (* b b) 4) (pow b 4)) (+ (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) (* (+ (* (* b b) 2) 4) a) (* (* (+ (* (* b b) 2) 4) a) a) (pow (+ (* a a) (* b b)) 2) (* (* b b) (- 1 (* 3 a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* a a) a) a))

simplify212.0ms (2.4%)

Memory

-14.2MiB live, 144.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	262	1482
1	950	1409
2	3848	1326
0	8220	1195

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 86

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

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

rewrite227.0ms (2.6%)

Memory

24.5MiB live, 301.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	549
0	93	550
1	403	537
2	3603	537
0	8281	480

Stop Event

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

Counts

24 → 739

Calls

Call 1

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

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

eval127.0ms (1.4%)

Memory: -1.2MiB live, 280.2MiB allocated
Compiler: Compiled 49 965 to 3 797 computations (92.4% saved)

prune48.0ms (0.5%)

Memory

-19.5MiB live, 59.2MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	868	12	880
Fresh	5	0	5
Picked	4	1	5
Done	0	0	0
Total	877	13	890

Accuracy

100.0%

Counts

890 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.2%	(-.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #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))
▶	85.2%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
▶	83.8%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
	80.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 a a) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b))) #s(literal 1 binary64))
	75.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (.f64 (.f64 (*.f64 b b) #s(literal 2 binary64)) a)) a))) #s(literal 1 binary64))
✓	68.9%	(-.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))
▶	67.7%	(-.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 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
	80.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (.f64 b b) (.f64 (*.f64 a a) #s(literal 4 binary64))))) #s(literal 1 binary64))
	53.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	50.2%	(-.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))
▶	68.8%	#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)))
	71.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
	41.9%	#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)))

Compiler

Compiled 1 248 to 735 computations (41.1% saved)

simplify215.0ms (2.4%)

Memory

38.8MiB live, 225.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)
cost-diff	0	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
cost-diff	0	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
cost-diff	1	(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))))
cost-diff	0	(*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
cost-diff	0	(.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b))
cost-diff	0	(-.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 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #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	#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))
cost-diff	0	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
cost-diff	1	(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
cost-diff	7	(fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	737
0	85	737
1	189	724
2	614	724
3	2622	697
0	8067	647

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.2%)

Memory

-48.2MiB live, 163.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.4136840926325105	(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy	8.382812500000002	(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))))
accuracy	20.39866538566838	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
accuracy	34.32917160428414	#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))
accuracy	0.0	(-.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 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
accuracy	0.08203125	(.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)
accuracy	0.10546875	(*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
accuracy	28.645065389594944	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b))
accuracy	0.0	(fma.f64 b b #s(literal 4 binary64))
accuracy	0.0	(*.f64 b b)
accuracy	0.060878759768442016	(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
accuracy	19.925249552176314	#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	0.015625	(.f64 (.f64 b b) #s(literal 4 binary64))
accuracy	15.438805519000233	#s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))
accuracy	27.8066410824756	#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	0.05078125	(fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
accuracy	2.4136840926325105	(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy	8.382812500000002	(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
accuracy	28.225327930016718	#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))

Samples

62.0ms	240×	0	valid
5.0ms	7×	2	valid
4.0ms	8×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 1 292 to 100 computations (92.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 22.0ms (46.4% of total)

ival-add: 13.0ms (27.4% of total)

ival-pow: 4.0ms (8.4% of total)

ival-pow2: 3.0ms (6.3% of total)

adjust: 2.0ms (4.2% of total)

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

exact: 1.0ms (2.1% of total)

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

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

series18.0ms (0.2%)

Memory

36.7MiB live, 36.7MiB allocated

Counts

23 → 82

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	((+ (* (* (+ (* (* b b) 2) (* a a)) a) a) (pow b 4)) (+ (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) (- (+ (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)))))) (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) (* (+ (* b b) (+ (* -12 a) 4)) b) (+ (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) (* (* (+ (* (* b b) 2) (* a a)) a) a) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
3.0ms	b	@	inf	((+ (* (* (+ (* (* b b) 2) (* a a)) a) a) (pow b 4)) (+ (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) (- (+ (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)))))) (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) (* (+ (* b b) (+ (* -12 a) 4)) b) (+ (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) (* (* (+ (* (* b b) 2) (* a a)) a) a) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
3.0ms	b	@	-inf	((+ (* (* (+ (* (* b b) 2) (* a a)) a) a) (pow b 4)) (+ (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) (- (+ (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)))))) (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) (* (+ (* b b) (+ (* -12 a) 4)) b) (+ (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) (* (* (+ (* (* b b) 2) (* a a)) a) a) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
2.0ms	a	@	inf	((+ (* (* (+ (* (* b b) 2) (* a a)) a) a) (pow b 4)) (+ (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) (- (+ (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)))))) (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) (* (+ (* b b) (+ (* -12 a) 4)) b) (+ (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) (* (* (+ (* (* b b) 2) (* a a)) a) a) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
2.0ms	a	@	-inf	((+ (* (* (+ (* (* b b) 2) (* a a)) a) a) (pow b 4)) (+ (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) (- (+ (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)))))) (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) (* (+ (* b b) (+ (* -12 a) 4)) b) (+ (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) (* (* (+ (* (* b b) 2) (* a a)) a) a) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))

simplify240.0ms (2.7%)

Memory

-7.6MiB live, 192.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	1340
1	879	1281
2	3471	1249
0	8381	1126

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 82

Calls

Call 1

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

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

rewrite207.0ms (2.3%)

Memory

-17.2MiB live, 181.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	602
0	85	602
1	421	588
2	3885	588
0	8214	535

Stop Event

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

Counts

23 → 372

Calls

Call 1

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

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

eval89.0ms (1%)

Memory: 13.1MiB live, 131.3MiB allocated
Compiler: Compiled 39 098 to 2 314 computations (94.1% saved)

prune24.0ms (0.3%)

Memory

-12.9MiB live, 61.9MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	569	7	576
Fresh	1	6	7
Picked	3	2	5
Done	0	1	1
Total	573	16	589

Accuracy

100.0%

Counts

589 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 a a) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 a a)))) #s(literal 1 binary64)))
▶	80.9%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 a a) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 a a))))) (.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))
✓	83.8%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
	80.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 a a) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b))) #s(literal 1 binary64))
	75.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (.f64 (.f64 (*.f64 b b) #s(literal 2 binary64)) a)) a))) #s(literal 1 binary64))
✓	68.9%	(-.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))
	67.8%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 #s(approx ( (+ (* b b) (+ (* -12 a) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
▶	80.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (.f64 b b) (.f64 (*.f64 a a) #s(literal 4 binary64))))) #s(literal 1 binary64))
	53.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
	65.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) (.f64 (.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64))
✓	68.8%	#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)))
▶	68.8%	#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)))
	71.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
	50.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
	41.9%	#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)))
▶	30.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))

Compiler

Compiled 1 485 to 864 computations (41.8% saved)

simplify207.0ms (2.4%)

Memory

-9.6MiB live, 277.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	775
0	94	773
1	243	756
2	951	748
3	4691	748
0	8173	699

Stop Event

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

Calls

Call 1

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

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

localize148.0ms (1.7%)

Memory

18.1MiB live, 174.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 a a) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 a a))))
accuracy	5.249956625270393	(.f64 (.f64 a a) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 a a)))
accuracy	8.382812500000002	(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 a a) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 a a))))) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
accuracy	28.225327930016718	#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
accuracy	5.249956625270393	(.f64 (.f64 a a) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 a a)))
accuracy	8.382812500000002	(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 a a) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 a a)))) #s(literal 1 binary64)))
accuracy	20.39866538566838	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 a a) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 a a))))
accuracy	34.32917160428414	#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))
accuracy	0.0	(fma.f64 b b #s(literal 4 binary64))
accuracy	0.0390625	(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
accuracy	0.0625	(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
accuracy	19.925249552176314	#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	19.925249552176314	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
accuracy	27.754110569711447	#s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64))
accuracy	0.0	#s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (.f64 b b) (.f64 (*.f64 a a) #s(literal 4 binary64))))
accuracy	0.006191259768442017	(.f64 (.f64 a a) #s(literal 4 binary64))
accuracy	3.0351562500000004	(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (.f64 b b) (.f64 (*.f64 a a) #s(literal 4 binary64)))
accuracy	8.63707273269272	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (.f64 b b) (.f64 (*.f64 a a) #s(literal 4 binary64)))))

Samples

112.0ms

256×

valid

Compiler

Compiled 1 305 to 124 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 53.0ms (65.3% of total)

ival-add: 22.0ms (27.1% of total)

ival-sub: 3.0ms (3.7% of total)

ival-pow2: 3.0ms (3.7% of total)

exact: 1.0ms (1.2% of total)

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

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

series17.0ms (0.2%)

Memory

-3.1MiB live, 33.6MiB allocated

Counts

22 → 85

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	((- (+ (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) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (+ (* (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4)) (* b b)) (* (* a a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (- (+ (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) (+ (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (+ (* (* b b) (* b b)) (* (* a a) (+ (* (* 2 b) b) (* a a)))) (+ (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) (* (* a a) 4) (pow (+ (* a a) (* b b)) 2) (* (* a a) (+ (* (* 2 b) b) (* a a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
2.0ms	b	@	-inf	((- (+ (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) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (+ (* (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4)) (* b b)) (* (* a a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (- (+ (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) (+ (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (+ (* (* b b) (* b b)) (* (* a a) (+ (* (* 2 b) b) (* a a)))) (+ (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) (* (* a a) 4) (pow (+ (* a a) (* b b)) 2) (* (* a a) (+ (* (* 2 b) b) (* a a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
2.0ms	b	@	0	((- (+ (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) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (+ (* (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4)) (* b b)) (* (* a a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (- (+ (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) (+ (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (+ (* (* b b) (* b b)) (* (* a a) (+ (* (* 2 b) b) (* a a)))) (+ (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) (* (* a a) 4) (pow (+ (* a a) (* b b)) 2) (* (* a a) (+ (* (* 2 b) b) (* a a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
2.0ms	a	@	inf	((- (+ (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) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (+ (* (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4)) (* b b)) (* (* a a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (- (+ (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) (+ (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (+ (* (* b b) (* b b)) (* (* a a) (+ (* (* 2 b) b) (* a a)))) (+ (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) (* (* a a) 4) (pow (+ (* a a) (* b b)) 2) (* (* a a) (+ (* (* 2 b) b) (* a a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
2.0ms	a	@	-inf	((- (+ (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) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (+ (* (+ (* a (+ (* 2 a) -12)) (+ (* b b) 4)) (* b b)) (* (* a a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (- (+ (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) (+ (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (+ (* (* b b) (* b b)) (* (* a a) (+ (* (* 2 b) b) (* a a)))) (+ (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) (* (* a a) 4) (pow (+ (* a a) (* b b)) 2) (* (* a a) (+ (* (* 2 b) b) (* a a))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))

simplify196.0ms (2.2%)

Memory

0.9MiB live, 243.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	264	1577
1	934	1480
2	3807	1417
0	8956	1268

Stop Event

1×	iter limit
1×	node limit

Counts

85 → 85

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

rewrite221.0ms (2.5%)

Memory

21.2MiB live, 253.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	652
0	94	646
1	521	618
2	4971	618
0	8580	557

Stop Event

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

Counts

22 → 454

Calls

Call 1

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

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

eval147.0ms (1.7%)

Memory: -12.3MiB live, 152.6MiB allocated
Compiler: Compiled 48 356 to 2 735 computations (94.3% saved)

prune33.0ms (0.4%)

Memory

-5.2MiB live, 79.1MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	665	6	671
Fresh	4	4	8
Picked	1	4	5
Done	1	2	3
Total	671	16	687

Accuracy

100.0%

Counts

687 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.8%	(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 a a)) a) a)) #s(literal 1 binary64)))
	79.5%	(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
	85.9%	(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b #s(literal -1 binary64))))
✓	80.9%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 a a) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 a a))))) (.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))
	80.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 a a) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b))) #s(literal 1 binary64))
✓	68.9%	(-.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))
✓	80.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (.f64 b b) (.f64 (*.f64 a a) #s(literal 4 binary64))))) #s(literal 1 binary64))
	86.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (.f64 (*.f64 a a) #s(literal 4 binary64))))) #s(literal 1 binary64))
	53.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	68.8%	#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)))
✓	68.8%	#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)))
	50.2%	#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) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
	71.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
	67.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (* (+ (* b b) 4) b) (pow.f64 b #s(literal 3 binary64))) b #s(literal -1 binary64)))
	41.9%	#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)))
✓	30.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))

Compiler

Compiled 2 548 to 679 computations (73.4% saved)

regimes54.0ms (0.6%)

Memory

22.3MiB live, 99.2MiB allocated

Counts

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

Calls

5 calls:

12.0ms	b
10.0ms	a
10.0ms	(+.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))))))
9.0ms	(*.f64 b b)
9.0ms	(-.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
98.9%	2	`a`
98.7%	2	`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))))))`
98.7%	2	`(*.f64 b b)`

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes26.0ms (0.3%)

Memory

-35.5MiB live, 45.4MiB allocated

Counts

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

Calls

2 calls:

11.0ms

(-.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))

10.0ms

(+.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
99.9%	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))))))`

Compiler

Compiled 60 to 37 computations (38.3% saved)

regimes31.0ms (0.4%)

Memory

33.1MiB live, 72.2MiB allocated

Counts

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

Outputs

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

9.0ms

(+.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
98.9%	2	`a`
98.9%	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))`
98.9%	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))))))`

Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes54.0ms (0.6%)

Memory

-27.0MiB live, 98.1MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

33.0ms

10.0ms

(+.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))))))

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
98.8%	2	`a`
98.8%	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))`
98.8%	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))))))`

Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes28.0ms (0.3%)

Memory

-0.7MiB live, 38.7MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

10.0ms

9.0ms

(+.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))))))

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
98.8%	2	`a`
98.8%	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))`
98.8%	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))))))`

Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes45.0ms (0.5%)

Memory

-9.4MiB live, 71.8MiB 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 (+ (* (+ (* b b) 4) (* b b)) -1) #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 (+ (* b b) 4) #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)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) #s(literal 4 binary64)) 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 (+ (* (* 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) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.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 (*.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)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #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)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 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)))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) 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 (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) (.f64 (.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b #s(literal -1 binary64))))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 a a) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 a a)))) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) b) b (.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)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (.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) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (.f64 b b) (.f64 (*.f64 a a) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.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)))))) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (.f64 (.f64 (*.f64 b b) #s(literal 2 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)))))) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #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)))))) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 a a) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) 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)))))) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 a a) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 a a))))) (.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 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (+.f64 (.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))
#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)))
(-.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)))))) 1) (fma.f64 #s(approx (* (+ (* b b) 4) b) (pow.f64 b #s(literal 3 binary64))) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 #s(approx ( (+ (* b b) (+ (* -12 a) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #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 a a) (fma.f64 a a (fma.f64 #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)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 4 binary64))))) #s(literal 1 binary64))

Calls

5 calls:

9.0ms	b
9.0ms	a
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))))))
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
98.7%	2	`b`
98.7%	2	`(*.f64 b b)`
98.6%	3	`a`
97.7%	3	`(-.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))`
97.7%	3	`(+.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)

regimes11.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB 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 (+ (* (+ (* b b) 4) (* b b)) -1) #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 (+ (* b b) 4) #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)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) #s(literal 4 binary64)) 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 (+ (* (* 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) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.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 (*.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)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #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)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 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)))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) 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 (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) (.f64 (.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b #s(literal -1 binary64))))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 a a) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 a a)))) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) b) b (.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)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (.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) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #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)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))))) #s(literal 1 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.7%	2	`b`
98.7%	2	`(*.f64 b b)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes11.0ms (0.1%)

Memory

-21.2MiB live, 18.1MiB allocated

Counts

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

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

Calls

2 calls:

5.0ms	b
4.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
98.6%	2	`b`
98.6%	2	`(*.f64 b b)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes20.0ms (0.2%)

Memory

-0.2MiB live, 39.4MiB 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 (+ (* (+ (* b b) 4) (* b b)) -1) #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 (+ (* b b) 4) #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)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) #s(literal 4 binary64)) 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 (+ (* (* 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) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.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 (*.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)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #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)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 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)))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) 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 (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) (.f64 (.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) 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 a a) (fma.f64 a a (fma.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) (fma.f64 (fma.f64 b b #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)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
78.1%	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))`
78.1%	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))))))`
96.3%	3	`a`
94.6%	2	`b`
94.6%	2	`(*.f64 b b)`

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes9.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB 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 (+ (* (+ (* b b) 4) (* b b)) -1) #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 (+ (* b b) 4) #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)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) #s(literal 4 binary64)) 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 (+ (* (* 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) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.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 (*.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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
82.6%	2	`b`
82.6%	2	`(*.f64 b b)`
85.1%	3	`a`

Compiler

Compiled 5 to 7 computations (-40% saved)

regimes3.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
85.1%	3	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.1%)

Memory

-14.1MiB live, 25.3MiB allocated

Counts

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
57.0%	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))`
57.0%	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))))))`
67.7%	2	`b`
67.7%	2	`(*.f64 b b)`
68.4%	3	`a`

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes10.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
50.2%	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))`
50.2%	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))))))`
50.2%	1	`a`
50.2%	1	`b`
50.2%	1	`(*.f64 b b)`

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes7.0ms (0.1%)

Memory

-26.0MiB live, 15.5MiB 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 (+ (* (+ (* b b) 4) (* b b)) -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 (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))

Calls

5 calls:

2.0ms	(-.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	(+.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	a
1.0ms	b
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
30.8%	1	`b`
30.8%	1	`(*.f64 b b)`
30.8%	1	`a`
30.8%	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))`
30.8%	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

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch0.0ms (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)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7540223691738148e-20	8.523928558633104e-16

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	1.7540223691738148e-20	8.523928558633104e-16

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7540223691738148e-20	8.523928558633104e-16

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch46.0ms (0.5%)

Memory

-0.8MiB live, 77.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.0015505238071074805	1817.1524769519865
20.0ms	-0.0001486805639453706	-2.2298698300901174e-10

Samples

28.0ms

288×

valid

Compiler

Compiled 1 564 to 977 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 10.0ms (47.8% of total)

ival-add: 5.0ms (23.9% of total)

ival-pow2: 3.0ms (14.3% of total)

ival-sub: 2.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch44.0ms (0.5%)

Memory

22.9MiB live, 61.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.4257847006712287e+145	1.897083360903166e+147
23.0ms	-3.705588215102964e+153	-5.828371095862252e+147

Samples

24.0ms

256×

valid

Compiler

Compiled 1 698 to 1 015 computations (40.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 8.0ms (44.3% of total)

ival-add: 4.0ms (22.2% of total)

ival-sub: 2.0ms (11.1% of total)

ival-pow2: 2.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0.1%)

Memory

-37.0MiB live, 4.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4257847006712287e+145	1.897083360903166e+147
3.0ms	-3.705588215102964e+153	-5.828371095862252e+147

Compiler

Compiled 1 698 to 1 015 computations (40.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0938155762101397e+306	7.131409771599613e+307

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify57.0ms (0.6%)

Memory

21.1MiB live, 60.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	1481
1	241	1481
2	713	1481
3	3212	1481

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 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (+.f64 (.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 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) (*.f64 a a) #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 +inf.0 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)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) (*.f64 a a) #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 +inf.0 binary64)) (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) #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 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) (*.f64 a a) #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 +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)) (fma.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) (*.f64 a a) #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 +inf.0 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #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 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #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)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (.f64 b b) (.f64 (*.f64 a a) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #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)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (.f64 (*.f64 a a) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -4242751136953197/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 12 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))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -3499999999999999906031553804593356116680939157249948004734346490108582162297737670733390279961050868800388334522364093293771313727380830278036547046473728 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 1849999999999999977038393492839886423876774974031167701421865785598364368664918176923389561389035938299907495635236893140654849920435480536857706496 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)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -3499999999999999906031553804593356116680939157249948004734346490108582162297737670733390279961050868800388334522364093293771313727380830278036547046473728 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 1849999999999999977038393492839886423876774974031167701421865785598364368664918176923389561389035938299907495635236893140654849920435480536857706496 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))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 4000000000000000068864258386945819315324351300052955929315568071569522684978300191951681807501838378274424555446793164241244196902131794082787755222845762600490514058677713841427970499872113318202756896701137386920242864355316857021758778520479178186022049662471928573050683451675265451448476618996509048832 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.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 (+ (* b b) 4) #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)))))) 1) (fma.f64 #s(approx (+ (* b b) 4) #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)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -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 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (+.f64 (.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 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) (*.f64 a a) #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 +inf.0 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)) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) (*.f64 a a) #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 +inf.0 binary64)) (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) #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 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) (*.f64 a a) #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 +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)) (fma.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) (*.f64 a a) #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 +inf.0 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #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 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #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)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (.f64 b b) (.f64 (*.f64 a a) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #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)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (.f64 (*.f64 a a) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -4242751136953197/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 12 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))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))))
(if (or (<=.f64 a #s(literal -4242751136953197/36893488147419103232 binary64)) (not (<=.f64 a #s(literal 12 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a (fma.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) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -3499999999999999906031553804593356116680939157249948004734346490108582162297737670733390279961050868800388334522364093293771313727380830278036547046473728 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 1849999999999999977038393492839886423876774974031167701421865785598364368664918176923389561389035938299907495635236893140654849920435480536857706496 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)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))))
(if (or (<=.f64 a #s(literal -3499999999999999906031553804593356116680939157249948004734346490108582162297737670733390279961050868800388334522364093293771313727380830278036547046473728 binary64)) (not (<=.f64 a #s(literal 1849999999999999977038393492839886423876774974031167701421865785598364368664918176923389561389035938299907495635236893140654849920435480536857706496 binary64)))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.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 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -3499999999999999906031553804593356116680939157249948004734346490108582162297737670733390279961050868800388334522364093293771313727380830278036547046473728 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 1849999999999999977038393492839886423876774974031167701421865785598364368664918176923389561389035938299907495635236893140654849920435480536857706496 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))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))))
(if (or (<=.f64 a #s(literal -3499999999999999906031553804593356116680939157249948004734346490108582162297737670733390279961050868800388334522364093293771313727380830278036547046473728 binary64)) (not (<=.f64 a #s(literal 1849999999999999977038393492839886423876774974031167701421865785598364368664918176923389561389035938299907495635236893140654849920435480536857706496 binary64)))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.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 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 4000000000000000068864258386945819315324351300052955929315568071569522684978300191951681807501838378274424555446793164241244196902131794082787755222845762600490514058677713841427970499872113318202756896701137386920242864355316857021758778520479178186022049662471928573050683451675265451448476618996509048832 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* (* (+ (* (* b b) 2) 4) a) a)) (.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 (+ (* b b) 4) #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)))))) 1) (fma.f64 #s(approx (+ (* b b) 4) #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)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))

soundness1.8s (20.4%)

Memory

16.1MiB live, 647.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	264	1577
1	934	1480
2	3807	1417
0	8956	1268
0	246	1340
1	879	1281
2	3471	1249
0	8381	1126
0	56	549
0	93	550
1	403	537
2	3603	537
0	8281	480
0	56	602
0	85	602
1	421	588
2	3885	588
0	8214	535
0	262	1482
1	950	1409
2	3848	1326
0	8220	1195
0	175	781
1	623	757
2	2502	701
0	8371	633

Stop Event

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

Compiler

Compiled 2 824 to 994 computations (64.8% saved)

preprocess167.0ms (1.9%)

Memory: -32.7MiB live, 133.7MiB allocated
Remove: (abs b)
Compiler: Compiled 3 278 to 416 computations (87.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (18.6%)

explain316.0ms (3.6%)

preprocess300.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify176.0ms (2%)

localize102.0ms (1.2%)

series11.0ms (0.1%)

simplify248.0ms (2.8%)

rewrite350.0ms (4%)

eval142.0ms (1.6%)

prune107.0ms (1.2%)

simplify341.0ms (3.9%)

localize128.0ms (1.5%)

series20.0ms (0.2%)

simplify212.0ms (2.4%)

rewrite227.0ms (2.6%)

eval127.0ms (1.4%)

prune48.0ms (0.5%)

simplify215.0ms (2.4%)

localize107.0ms (1.2%)

series18.0ms (0.2%)

simplify240.0ms (2.7%)

rewrite207.0ms (2.3%)

eval89.0ms (1%)

prune24.0ms (0.3%)

simplify207.0ms (2.4%)

localize148.0ms (1.7%)

series17.0ms (0.2%)

simplify196.0ms (2.2%)

rewrite221.0ms (2.5%)

eval147.0ms (1.7%)

prune33.0ms (0.4%)

regimes54.0ms (0.6%)

regimes26.0ms (0.3%)

regimes31.0ms (0.4%)

regimes54.0ms (0.6%)

regimes28.0ms (0.3%)

regimes45.0ms (0.5%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes20.0ms (0.2%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch46.0ms (0.5%)

bsearch44.0ms (0.5%)

bsearch5.0ms (0.1%)

bsearch0.0ms (0%)

simplify57.0ms (0.6%)

soundness1.8s (20.4%)

preprocess167.0ms (1.9%)

end0.0ms (0%)

Profiling