Metrics for Bouland and Aaronson, Equation (24)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

sample1.2s (15.6%)

Memory

-23.9MiB live, 1 415.3MiB allocated

Samples

814.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 626.0ms

ival-mult: 250.0ms (39.9% of total)

ival-add: 181.0ms (28.9% of total)

ival-sub: 88.0ms (14.1% of total)

ival-pow2: 86.0ms (13.7% of total)

exact: 12.0ms (1.9% of total)

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

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain301.0ms (3.9%)

Memory

26.3MiB live, 221.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
50	-	-	`(+.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 3 binary64) a)))))`
40	-	-	`(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))`
14	-	-	`(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))`
0	-	-	`(*.f64 a a)`
0	-	-	`a`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a))`
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 3 binary64) a))))) #s(literal 1 binary64))`
0	-	-	`(*.f64 b b)`
0	-	-	`(-.f64 #s(literal 1 binary64) a)`
0	-	-	`(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))`
0	-	-	`(+.f64 (.f64 a a) (.f64 b b))`
0	-	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 #s(literal 3 binary64) a)`
0	-	-	`b`

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 3 binary64) a)))))`	nan-rescue	50	0
↳	`(*.f64 b b)`	overflow	65
↳	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`	overflow	152
↳	`(*.f64 a a)`	overflow	61
↳	`(+.f64 (.f64 a a) (.f64 b b))`	overflow	111
↳	`(*.f64 b b)`	overflow	65
↳	`(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))`	overflow	132
↳	`(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))`	overflow	132
↳	`(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))`	overflow	85
↳	`(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a))`	overflow	87
↳	`(*.f64 a a)`	overflow	61
`+.f64`	`(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))`	nan-rescue	40	0
↳	`(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a))`	overflow	87
↳	`(*.f64 a a)`	overflow	61
↳	`(*.f64 b b)`	overflow	65
↳	`(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))`	overflow	85

Confusion

	Predicted +	Predicted -
+	71	0
-	0	185

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	0	0
-	0	0	185

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	185
1	52
2	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

113.0ms

512×

valid

Compiler

Compiled 441 to 76 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-add: 26.0ms (44.2% of total)

ival-mult: 14.0ms (23.8% of total)

ival-pow2: 12.0ms (20.4% of total)

ival-sub: 5.0ms (8.5% of total)

ival-true: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

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

preprocess290.0ms (3.7%)

Memory

-37.5MiB live, 130.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	149
1	154	147
2	661	145
3	2961	145
4	6959	145
0	18	29
0	30	29
1	63	29
2	178	29
3	566	29
4	1582	29
5	2936	29
6	6901	29
0	8194	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 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 3 binary64) a))))) #s(literal 1 binary64))

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

Symmetry

(abs b)

Compiler

Compiled 29 to 18 computations (37.9% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.1%	(-.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 3 binary64) a))))) #s(literal 1 binary64))

Status

Accuracy

Program

▶

72.1%

(-.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 3 binary64) a))))) #s(literal 1 binary64))

Compiler

Compiled 29 to 18 computations (37.9% saved)

simplify262.0ms (3.4%)

Memory

24.7MiB live, 145.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	136
0	30	136
1	63	136
2	178	136
3	566	136
4	1582	136
5	2936	136
6	6901	136
0	8194	126

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

localize52.0ms (0.7%)

Memory

3.7MiB live, 41.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.13900375976844204	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
accuracy	3.2479037998086566	(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy	8.933554530773915	(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy	9.964843750000002	(+.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 3 binary64) a)))))

Samples

41.0ms

256×

valid

Compiler

Compiled 274 to 38 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 20.0ms (66.5% of total)

ival-add: 4.0ms (13.3% of total)

ival-sub: 2.0ms (6.7% of total)

ival-pow2: 2.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

5 → 47

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 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 3 binary64) a)))
(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))

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

Calls

6 calls:

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

simplify187.0ms (2.4%)

Memory

-23.3MiB live, 97.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	754
1	564	731
2	1748	707
3	5181	682
4	7336	682
0	8366	625

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

Calls

Call 1

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

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

rewrite238.0ms (3.1%)

Memory

39.9MiB live, 261.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	65
0	28	65
1	123	65
2	1061	65
0	8228	56

Stop Event

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

Counts

5 → 442

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 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 3 binary64) a)))
(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #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 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #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 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #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 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #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 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #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 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b))) #s(literal 4 binary64))))))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #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 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(.f64 (.f64 (+.f64 #s(literal 3 binary64) a) b) b)
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(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 a a)) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 3 binary64) a)))
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(/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) a)))
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(fma.f64 (.f64 b #s(literal 3 binary64)) b (.f64 (*.f64 b a) b))
(fma.f64 (.f64 b a) b (.f64 (*.f64 b #s(literal 3 binary64)) b))
(fma.f64 (.f64 a b) b (.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 #s(literal 3 binary64) (.f64 b b) (.f64 (*.f64 b b) a))
(fma.f64 (.f64 b b) #s(literal 3 binary64) (.f64 (*.f64 b b) a))
(fma.f64 (.f64 b b) a (.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 b (.f64 #s(literal 3 binary64) b) (.f64 b (*.f64 a b)))
(fma.f64 b (.f64 b #s(literal 3 binary64)) (.f64 (*.f64 b b) a))
(fma.f64 b (.f64 b a) (.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 b (.f64 a b) (.f64 b (*.f64 #s(literal 3 binary64) b)))
(fma.f64 a (.f64 b b) (.f64 #s(literal 3 binary64) (*.f64 b b)))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 3 binary64) (.f64 b b)) (.f64 (.f64 b b) a))) (/.f64 (pow.f64 (.f64 (.f64 b b) a) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (.f64 b b)) (.f64 (*.f64 b b) a))))
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(+.f64 (.f64 (.f64 b a) b) (.f64 (.f64 b #s(literal 3 binary64)) b))
(+.f64 (.f64 b (.f64 #s(literal 3 binary64) b)) (.f64 b (.f64 a b)))
(+.f64 (.f64 b (.f64 a b)) (.f64 b (.f64 #s(literal 3 binary64) b)))
(+.f64 (.f64 (.f64 b b) a) (.f64 #s(literal 3 binary64) (.f64 b b)))
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eval180.0ms (2.3%)

Memory: -22.9MiB live, 145.5MiB allocated
Compiler: Compiled 30 558 to 2 425 computations (92.1% saved)

prune14.0ms (0.2%)

Memory

-0.9MiB live, 35.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	474	7	481
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	475	7	482

Accuracy

100.0%

Counts

482 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.7%	(-.f64 (fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a (.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))) #s(literal 1 binary64))
▶	83.2%	(-.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) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
▶	54.8%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
	75.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64))
▶	71.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	70.8%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
▶	72.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))

Compiler

Compiled 566 to 360 computations (36.4% saved)

simplify198.0ms (2.6%)

Memory

-15.4MiB live, 227.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 (neg.f64 a) a a) a)
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff	6464	(fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
cost-diff	0	(*.f64 b b)
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 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) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff	6144	(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
cost-diff	0	(pow.f64 a #s(literal 4 binary64))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64)))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
cost-diff	0	(.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
cost-diff	0	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
cost-diff	128	(+.f64 (.f64 a a) (.f64 b b))
cost-diff	128	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	553
0	72	553
1	134	553
2	295	553
3	785	553
4	1844	553
5	3074	553
6	5042	550
7	7527	550
0	8235	513

Stop Event

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

Calls

Call 1

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

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

localize147.0ms (1.9%)

Memory

7.8MiB live, 169.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 a)
accuracy	0.01953125	(*.f64 (fma.f64 (neg.f64 a) a a) a)
accuracy	8.381191259768443	(fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
accuracy	26.032271184451538	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
accuracy	0.0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 b b)
accuracy	0.10786996032857504	(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
accuracy	22.75350889919395	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))))
accuracy	0.0	(pow.f64 a #s(literal 4 binary64))
accuracy	0.0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy	30.713546790850025	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64)))
accuracy	0.0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
accuracy	0.06640625	(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
accuracy	0.09765625	(.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
accuracy	21.73029870646203	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b))
accuracy	0.01953125	(*.f64 (fma.f64 (neg.f64 a) a a) a)
accuracy	0.13900375976844204	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
accuracy	9.964843750000002	(+.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) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))))
accuracy	30.836126499488643	#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))

Samples

84.0ms	240×	0	valid
6.0ms	13×	1	valid
2.0ms	3×	2	valid

Compiler

Compiled 1 014 to 84 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 43.0ms (63.1% of total)

ival-add: 10.0ms (14.7% of total)

ival-pow: 6.0ms (8.8% of total)

ival-pow2: 3.0ms (4.4% of total)

ival-sub: 2.0ms (2.9% of total)

adjust: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series19.0ms (0.2%)

Memory

-5.4MiB live, 31.2MiB allocated

Counts

21 → 79

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	b	@	-inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (+ (* (* b b) 12) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (neg a) a) a) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (neg a))
3.0ms	a	@	0	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (+ (* (* b b) 12) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (neg a) a) a) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (neg a))
2.0ms	b	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (+ (* (* b b) 12) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (neg a) a) a) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (neg a))
2.0ms	a	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (+ (* (* b b) 12) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (neg a) a) a) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (neg a))
2.0ms	a	@	-inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (+ (* (* b b) 12) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (neg a) a) a) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (neg a))

simplify197.0ms (2.5%)

Memory

31.0MiB live, 229.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	250	1270
1	816	1211
2	2458	1177
3	7298	1174
0	8037	1070

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 79

Calls

Call 1

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

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

rewrite233.0ms (3%)

Memory

1.9MiB live, 247.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	466
0	72	466
1	331	466
2	2735	466
0	8576	421

Stop Event

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

Counts

21 → 472

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 2 binary64)) #s(literal 16 binary64))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(approx (+ ( (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 #s(approx (+ ( (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 #s(approx (+ ( (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64)) (-.f64 (.f64 #s(approx (+ ( (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) 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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(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 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) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 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) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 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) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 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) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 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) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 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) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 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) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 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) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 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) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 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) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))))
(+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64))
(.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (.f64 a a) (pow.f64 a #s(literal 4 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(.f64 (-.f64 #s(literal 1 binary64) a) (.f64 a a))
(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a))
(.f64 a (.f64 (-.f64 #s(literal 1 binary64) a) a))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 a a)) (*.f64 a a))) (neg.f64 (+.f64 #s(literal 1 binary64) a)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (.f64 a a))) (neg.f64 (+.f64 (fma.f64 a a a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 a a)) a)) (neg.f64 (fma.f64 (neg.f64 a) a (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) a)) (neg.f64 (+.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) (*.f64 a a)))) (neg.f64 (+.f64 #s(literal 1 binary64) a)))
(/.f64 (neg.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 a a a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 a (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 a a)))) (neg.f64 (fma.f64 (neg.f64 a) a (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (neg.f64 (+.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 a a)) (*.f64 a a)) (+.f64 #s(literal 1 binary64) a))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (.f64 a a)) (+.f64 (fma.f64 a a a) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 a a)) a) (fma.f64 (neg.f64 a) a (neg.f64 a)))
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) a) (+.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) a))
(/.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (fma.f64 a a a) #s(literal 1 binary64)))
(/.f64 (.f64 a (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 a a))) (fma.f64 (neg.f64 a) a (neg.f64 a)))
(/.f64 (*.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (+.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal 4 binary64))))
(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)) #s(literal -1 binary64) (*.f64 a a))
(fma.f64 (.f64 (neg.f64 a) a) a (.f64 a a))
(fma.f64 (neg.f64 a) (neg.f64 a) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))
(fma.f64 (neg.f64 a) (.f64 a a) (.f64 a a))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))
(fma.f64 (.f64 a a) (neg.f64 a) (.f64 a a))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))
(fma.f64 a (.f64 (neg.f64 a) a) (.f64 a a))
(fma.f64 a a (pow.f64 (neg.f64 a) #s(literal 3 binary64)))
(+.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (*.f64 a a))
(+.f64 (*.f64 a a) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 a) a)) (neg.f64 (+.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))
(/.f64 (*.f64 (neg.f64 a) a) (+.f64 #s(literal 0 binary64) a))
(neg.f64 a)
(-.f64 #s(literal 0 binary64) a)
(+.f64 #s(literal 0 binary64) (neg.f64 a))

eval79.0ms (1%)

Memory: -12.1MiB live, 144.0MiB allocated
Compiler: Compiled 41 241 to 2 371 computations (94.3% saved)

prune39.0ms (0.5%)

Memory

2.7MiB live, 41.4MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	603	10	613
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	608	12	620

Accuracy

100.0%

Counts

620 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	70.8%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
▶	71.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
	70.8%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
	71.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
	70.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64))
	71.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
	53.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (.f64 (.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	54.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (.f64 (.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
▶	71.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
▶	87.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) #s(literal -1 binary64))))
▶	71.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (.f64 a a)) #s(literal -1 binary64)))

Compiler

Compiled 999 to 613 computations (38.6% saved)

simplify180.0ms (2.3%)

Memory

-7.1MiB live, 195.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a a)
cost-diff	0	(fma.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (.f64 a a)) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (.f64 a a)) #s(literal -1 binary64)))
cost-diff	320	(fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a))
cost-diff	0	(*.f64 b b)
cost-diff	0	(.f64 (.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 12 binary64))))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 b b #s(literal 12 binary64))
cost-diff	0	(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
cost-diff	0	(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
cost-diff	0	(.f64 (.f64 b b) #s(literal 12 binary64))
cost-diff	0	#s(approx (+ (* (* b b) 12) (pow b 4)) (.f64 (.f64 b b) #s(literal 12 binary64)))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (.f64 (.f64 b b) #s(literal 12 binary64))))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (.f64 (.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b)
cost-diff	0	(fma.f64 (.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) #s(literal -1 binary64))))
cost-diff	320	(fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	473
0	68	473
1	143	473
2	350	473
3	870	463
4	2425	463
5	4204	463
0	8316	435

Stop Event

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

Calls

Call 1

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

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

localize157.0ms (2%)

Memory

7.7MiB live, 219.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a a)
accuracy	0.00390625	(fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a))
accuracy	0.05078125	(fma.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (.f64 a a)) #s(literal -1 binary64))
accuracy	18.421739892765466	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (.f64 a a)) #s(literal -1 binary64)))
accuracy	0.0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 b b)
accuracy	0.20943246032857504	(.f64 (.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
accuracy	22.75350889919395	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 12 binary64))))
accuracy	0.0	(fma.f64 b b #s(literal 12 binary64))
accuracy	0.03515625	(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
accuracy	0.140625	(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
accuracy	18.397231581044768	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
accuracy	0.0	(*.f64 b b)
accuracy	0.17818246032857504	(.f64 (.f64 b b) #s(literal 12 binary64))
accuracy	15.621806198677168	#s(approx (+ (* (* b b) 12) (pow b 4)) (.f64 (.f64 b b) #s(literal 12 binary64)))
accuracy	22.75350889919395	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (.f64 (.f64 b b) #s(literal 12 binary64))))
accuracy	0.03125	(fma.f64 (.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) #s(literal -1 binary64)))
accuracy	0.05078125	(fma.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (.f64 a a)) #s(literal -1 binary64))
accuracy	2.7233339156000653	(*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b)
accuracy	7.710023580684076	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) #s(literal -1 binary64))))

Samples

76.0ms	209×	0	valid
34.0ms	12×	3	valid
12.0ms	24×	1	valid
7.0ms	11×	2	valid

Compiler

Compiled 865 to 90 computations (89.6% saved)

Precisions

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

adjust: 31.0ms (29.7% of total)

ival-mult: 24.0ms (23% of total)

exact: 21.0ms (20.1% of total)

ival-add: 19.0ms (18.2% of total)

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

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

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

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

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

series43.0ms (0.6%)

Memory

-8.5MiB live, 30.6MiB allocated

Counts

19 → 67

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	((+ (* 4 (- 1 a)) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* a (+ (* 2 a) 4)) 12) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1)) (* (+ (* a (+ (* 2 a) 4)) 12) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* b b) (+ (* b b) 12)) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) (* a a))
3.0ms	b	@	-inf	((+ (* 4 (- 1 a)) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* a (+ (* 2 a) 4)) 12) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1)) (* (+ (* a (+ (* 2 a) 4)) 12) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* b b) (+ (* b b) 12)) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) (* a a))
3.0ms	b	@	0	((+ (* 4 (- 1 a)) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* a (+ (* 2 a) 4)) 12) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1)) (* (+ (* a (+ (* 2 a) 4)) 12) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* b b) (+ (* b b) 12)) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) (* a a))
2.0ms	a	@	inf	((+ (* 4 (- 1 a)) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* a (+ (* 2 a) 4)) 12) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1)) (* (+ (* a (+ (* 2 a) 4)) 12) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* b b) (+ (* b b) 12)) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) (* a a))
1.0ms	a	@	-inf	((+ (* 4 (- 1 a)) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* a (+ (* 2 a) 4)) 12) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1)) (* (+ (* a (+ (* 2 a) 4)) 12) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* b b) (+ (* b b) 12)) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) (* a a))

simplify176.0ms (2.3%)

Memory

-1.6MiB live, 191.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	1096
1	656	1043
2	1973	1001
3	5502	961
0	8560	847

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 67

Calls

Call 1

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

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

rewrite249.0ms (3.2%)

Memory

-11.7MiB live, 270.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	405
0	68	402
1	336	402
2	2889	402
0	8177	374

Stop Event

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

Counts

19 → 299

Calls

Call 1

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

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

eval59.0ms (0.8%)

Memory: 33.5MiB live, 108.7MiB allocated
Compiler: Compiled 32 115 to 1 608 computations (95% saved)

prune64.0ms (0.8%)

Memory

-41.1MiB live, 44.3MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	470	12	482
Fresh	3	2	5
Picked	3	2	5
Done	2	0	2
Total	478	16	494

Accuracy

100.0%

Counts

494 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
▶	70.8%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
▶	70.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64))
✓	54.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (.f64 (.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
	71.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
	71.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
✓	71.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
▶	87.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (.f64 a a) #s(approx (+ (* 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))
▶	54.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
	45.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
	53.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))
	79.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* a (+ (* 2 a) 4)) 12) b) (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b)) b (fma.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) #s(literal -1 binary64))))
	45.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))
	44.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
	54.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* a (+ (* 2 a) 4)) 12) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
▶	27.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) #s(literal -1 binary64)))

Compiler

Compiled 1 392 to 824 computations (40.8% saved)

simplify158.0ms (2%)

Memory

16.8MiB live, 208.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b)) #s(literal 1 binary64))
cost-diff	832	(.f64 (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)
cost-diff	-5504	(.f64 (.f64 a a) (*.f64 a a))
cost-diff	0	(*.f64 a a)
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a)))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* b b) 12) #s(literal 12 binary64))
cost-diff	0	(.f64 #s(approx (+ ( b b) 12) #s(literal 12 binary64)) b)
cost-diff	0	(fma.f64 (.f64 #s(approx (+ ( b b) 12) #s(literal 12 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) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
cost-diff	0	(*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b)
cost-diff	0	(fma.f64 (.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (.f64 a a) #s(approx (+ (* 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (.f64 a a) #s(approx (+ (* 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	592
0	83	592
1	172	582
2	390	558
3	932	558
4	2373	558
5	3965	548
0	8199	516

Stop Event

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

Calls

Call 1

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

localize161.0ms (2.1%)

Memory

-12.2MiB live, 236.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.34630453050062204	(*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b)
accuracy	2.675619873070308	(.f64 (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)
accuracy	4.049630657605756	(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
accuracy	21.73029870646203	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b) a)) b))
accuracy	0.0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 a a)
accuracy	0.13509750976844204	(.f64 (.f64 a a) (*.f64 a a))
accuracy	30.713546790850025	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a)))
accuracy	0.03515625	(fma.f64 (.f64 #s(approx (+ ( b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))
accuracy	0.140625	(.f64 #s(approx (+ ( b b) 12) #s(literal 12 binary64)) b)
accuracy	18.397231581044768	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
accuracy	31.57469239667933	#s(approx (+ (* b b) 12) #s(literal 12 binary64))
accuracy	18.421739892765466	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) #s(literal -1 binary64)))
accuracy	30.919671610827994	#s(approx (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) #s(literal -1 binary64))
accuracy	0.03125	(fma.f64 (.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (.f64 a a) #s(approx (+ (* 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy	0.05078125	(fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy	2.7233339156000653	(*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b)
accuracy	7.710023580684076	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (.f64 a a) #s(approx (+ (* 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))

Samples

85.0ms	205×	0	valid
16.0ms	27×	1	valid
11.0ms	10×	2	valid
10.0ms	10×	3	valid
5.0ms	4×	4	valid

Compiler

Compiled 1 022 to 112 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-add: 44.0ms (46.1% of total)

ival-mult: 32.0ms (33.5% of total)

adjust: 9.0ms (9.4% of total)

ival-sub: 4.0ms (4.2% of total)

ival-pow2: 3.0ms (3.1% of total)

ival-div: 2.0ms (2.1% of total)

exact: 1.0ms (1% of total)

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

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

series21.0ms (0.3%)

Memory

-2.8MiB live, 36.1MiB allocated

Counts

21 → 94

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	b	@	-inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* a (+ (* 2 a) 4)) 12) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1)) (* (+ (* a (+ (* 2 a) 4)) 12) b) (+ (* a (+ (* 2 a) 4)) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* a a) (* (* a a) (* a a)) (* (* (+ (/ (+ (* b b) 12) a) 4) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) (/ (+ (* b b) 12) a) (* (+ (/ (+ (* b b) 12) a) 4) b))
3.0ms	b	@	inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* a (+ (* 2 a) 4)) 12) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1)) (* (+ (* a (+ (* 2 a) 4)) 12) b) (+ (* a (+ (* 2 a) 4)) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* a a) (* (* a a) (* a a)) (* (* (+ (/ (+ (* b b) 12) a) 4) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) (/ (+ (* b b) 12) a) (* (+ (/ (+ (* b b) 12) a) 4) b))
3.0ms	b	@	0	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* a (+ (* 2 a) 4)) 12) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1)) (* (+ (* a (+ (* 2 a) 4)) 12) b) (+ (* a (+ (* 2 a) 4)) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* a a) (* (* a a) (* a a)) (* (* (+ (/ (+ (* b b) 12) a) 4) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) (/ (+ (* b b) 12) a) (* (+ (/ (+ (* b b) 12) a) 4) b))
3.0ms	a	@	-inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* a (+ (* 2 a) 4)) 12) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1)) (* (+ (* a (+ (* 2 a) 4)) 12) b) (+ (* a (+ (* 2 a) 4)) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* a a) (* (* a a) (* a a)) (* (* (+ (/ (+ (* b b) 12) a) 4) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) (/ (+ (* b b) 12) a) (* (+ (/ (+ (* b b) 12) a) 4) b))
3.0ms	a	@	0	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* a (+ (* 2 a) 4)) 12) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1)) (* (+ (* a (+ (* 2 a) 4)) 12) b) (+ (* a (+ (* 2 a) 4)) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* a a) (* (* a a) (* a a)) (* (* (+ (/ (+ (* b b) 12) a) 4) b) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) (/ (+ (* b b) 12) a) (* (+ (/ (+ (* b b) 12) a) 4) b))

simplify175.0ms (2.3%)

Memory

9.7MiB live, 201.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	1415
1	889	1350
2	2710	1306
3	7136	1298
0	8317	1158

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 94

Calls

Call 1

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

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

rewrite170.0ms (2.2%)

Memory

26.9MiB live, 143.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	507
0	83	501
1	412	492
2	3541	492
0	8362	454

Stop Event

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

Counts

21 → 260

Calls

Call 1

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

Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (.f64 a a) #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b) (fma.f64 #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (.f64 a a) #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (.f64 a a) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (.f64 a a) #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b)) (pow.f64 (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b) (fma.f64 #s(approx (+ (* 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (.f64 a a) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (.f64 a a) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (.f64 a a) #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 144 binary64)) (.f64 b b)) (-.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (* 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (.f64 a a))) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal -12 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (.f64 a a)) #s(literal 2 binary64))))) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal -12 binary64)) (-.f64 #s(literal -1 binary64) (.f64 #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a)))))
(/.f64 (fma.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 144 binary64)) (.f64 b b)) (neg.f64 (fma.f64 #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (.f64 a a) #s(literal 1 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal -12 binary64)) (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal -12 binary64)) (neg.f64 (fma.f64 #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64)))))
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(fma.f64 (.f64 #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) a) a #s(literal -1 binary64))
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eval70.0ms (0.9%)

Memory: -9.5MiB live, 63.4MiB allocated
Compiler: Compiled 28 538 to 1 667 computations (94.2% saved)

prune93.0ms (1.2%)

Memory

-7.7MiB live, 49.5MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	362	6	368
Fresh	2	7	9
Picked	1	4	5
Done	1	1	2
Total	366	18	384

Accuracy

100.0%

Counts

384 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
✓	70.8%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
	68.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (.f64 #s(approx ( (+ (/ (+ (* b b) 12) a) 4) b) (*.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) b)) a)) b)) #s(literal 1 binary64))
✓	54.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (.f64 (.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
	71.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (.f64 (.f64 (*.f64 b b) a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))))) #s(literal 1 binary64))
	71.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
	71.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
✓	87.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (.f64 a a) #s(approx (+ (* 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))
	71.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64)))
✓	54.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
	79.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( a (+ (* 2 a) 4)) 12) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))
	78.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( a (+ (* 2 a) 4)) 12) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))
	54.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64)))
	45.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
	53.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))
	45.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))
	44.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
✓	27.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) #s(literal -1 binary64)))

Compiler

Compiled 2 549 to 722 computations (71.7% saved)

regimes89.0ms (1.2%)

Memory

1.5MiB live, 36.5MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

51.0ms	(-.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 3 binary64) a))))) #s(literal 1 binary64))
10.0ms	b
9.0ms	a
9.0ms	(*.f64 b b)
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 3 binary64) a)))))

Results

Accuracy	Segments	Branch
99.6%	2	`a`
97.2%	3	`b`
99.9%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 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 3 binary64) a)))))`
97.2%	3	`(*.f64 b b)`

Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes26.0ms (0.3%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

9.0ms

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 3 binary64) a)))))

7.0ms

(-.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 3 binary64) a))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.6%	2	`a`
99.6%	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 3 binary64) a))))) #s(literal 1 binary64))`
99.6%	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 3 binary64) a)))))`

Compiler

Compiled 57 to 37 computations (35.1% saved)

regimes35.0ms (0.5%)

Memory

-16.2MiB live, 20.9MiB allocated

Counts

32 → 3

Calls

Call 1

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

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

Calls

3 calls:

9.0ms

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 3 binary64) a)))))

7.0ms

(-.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 3 binary64) a))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
92.1%	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 3 binary64) a))))) #s(literal 1 binary64))`
92.1%	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 3 binary64) a)))))`
99.1%	3	`a`

Compiler

Compiled 57 to 37 computations (35.1% saved)

regimes10.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes49.0ms (0.6%)

Memory

-30.7MiB live, 6.9MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

48.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
74.5%	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 3 binary64) a))))) #s(literal 1 binary64))`
74.5%	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 3 binary64) a)))))`
81.9%	2	`b`
81.9%	2	`(*.f64 b b)`
89.2%	3	`a`

Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes4.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
88.9%	3	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
85.2%	3	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes53.0ms (0.7%)

Memory

-31.8MiB live, 13.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

3.0ms	a
3.0ms	b
2.0ms	(*.f64 b b)
2.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) 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 3 binary64) a))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
61.8%	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 3 binary64) a))))) #s(literal 1 binary64))`
61.8%	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 3 binary64) a)))))`
72.2%	2	`b`
72.2%	2	`(*.f64 b b)`
72.3%	3	`a`

Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes7.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
54.3%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))`
54.3%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))`
54.3%	1	`a`
54.3%	1	`b`
54.3%	1	`(*.f64 b b)`

Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes6.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB 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) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) #s(literal -1 binary64)))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
27.6%	1	`b`
27.6%	1	`(*.f64 b b)`
27.6%	1	`a`
27.6%	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 3 binary64) a))))) #s(literal 1 binary64))`
27.6%	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 3 binary64) a)))))`

Compiler

Compiled 61 to 42 computations (31.1% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch63.0ms (0.8%)

Memory

-21.8MiB live, 16.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
60.0ms	5.308021272803186e+33	4.896463971510496e+49

Samples

15.0ms

160×

valid

Compiler

Compiled 732 to 502 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 5.0ms (46.5% of total)

ival-add: 3.0ms (27.9% of total)

ival-pow2: 2.0ms (18.6% of total)

ival-sub: 1.0ms (9.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.4%)

Memory

20.6MiB live, 20.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.0705186542957386e-31	6.2489364230694265e-30
13.0ms	-11782968410.003258	-1496197725.5455902

Samples

19.0ms

208×

valid

Compiler

Compiled 1 380 to 839 computations (39.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 6.0ms (43.6% of total)

ival-add: 3.0ms (21.8% of total)

ival-sub: 2.0ms (14.5% of total)

ival-pow2: 2.0ms (14.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.0705186542957386e-31	6.2489364230694265e-30
1.0ms	-11782968410.003258	-1496197725.5455902

Compiler

Compiled 1 393 to 826 computations (40.7% saved)

bsearch3.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.0705186542957386e-31	6.2489364230694265e-30
1.0ms	-11782968410.003258	-1496197725.5455902

Compiler

Compiled 1 449 to 854 computations (41.1% saved)

bsearch74.0ms (0.9%)

Memory

-4.7MiB live, 32.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.4332374522932733e+22	1.94344715477986e+33
46.0ms	-5.392499099009177e+58	-3.080082629450696e+43

Samples

54.0ms

320×

valid

Compiler

Compiled 1 912 to 1 182 computations (38.2% saved)

Precisions

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

ival-sub: 27.0ms (58.7% of total)

ival-mult: 9.0ms (19.6% of total)

ival-add: 5.0ms (10.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.4332374522932733e+22	1.94344715477986e+33
1.0ms	-5.392499099009177e+58	-3.080082629450696e+43

Samples

13.0ms

144×

valid

Compiler

Compiled 1 592 to 1 022 computations (35.8% saved)

Precisions

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

ival-mult: 4.0ms (42.3% of total)

ival-add: 2.0ms (21.1% of total)

ival-sub: 1.0ms (10.6% of total)

ival-pow2: 1.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Memory

-34.7MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.4332374522932733e+22	1.94344715477986e+33
1.0ms	-5.392499099009177e+58	-3.080082629450696e+43

Compiler

Compiled 1 552 to 982 computations (36.7% saved)

bsearch34.0ms (0.4%)

Memory

22.3MiB live, 22.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.6026615444947352e+153	1.0682459070002712e+154
17.0ms	-4.355380615679277e+101	-1.5624087179395027e+99

Samples

20.0ms

224×

valid

Compiler

Compiled 1 246 to 766 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (40.3% of total)

ival-add: 4.0ms (26.9% of total)

ival-sub: 2.0ms (13.4% of total)

ival-pow2: 2.0ms (13.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.6026615444947352e+153	1.0682459070002712e+154
1.0ms	-4.355380615679277e+101	-1.5624087179395027e+99

Compiler

Compiled 1 316 to 794 computations (39.7% saved)

bsearch21.0ms (0.3%)

Memory

13.1MiB live, 13.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.6026615444947352e+153	1.0682459070002712e+154
17.0ms	-5.803589724343348e+126	-2.0657174483349693e+123

Samples

12.0ms

128×

valid

Compiler

Compiled 1 292 to 778 computations (39.8% saved)

Precisions

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

ival-mult: 4.0ms (46.9% of total)

ival-add: 2.0ms (23.4% of total)

ival-sub: 1.0ms (11.7% of total)

ival-pow2: 1.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2035632818705201e+296	3.581119142810249e+301

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify93.0ms (1.2%)

Memory

-16.0MiB live, 29.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	147	1624
1	228	1624
2	423	1624
3	963	1608
4	2735	1608
5	4933	1592

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 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 3 binary64) a))))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( a (+ (* 2 a) 4)) 12) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal 47999999999999999508452036896243658757186122678272 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) (+ 3 a))) (.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))))
(if (<=.f64 a #s(literal -1600000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( a (+ (* 2 a) 4)) 12) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 8848935694776951/1427247692705959881058285969449495136382746624 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 b b) #s(literal 12 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) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (.f64 a a) #s(approx (+ (* 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -1600000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( a (+ (* 2 a) 4)) 12) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 8848935694776951/1427247692705959881058285969449495136382746624 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (.f64 a a) #s(approx (+ (* 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -1600000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( a (+ (* 2 a) 4)) 12) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 8848935694776951/1427247692705959881058285969449495136382746624 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( a (+ (* 2 a) 4)) 12) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -90000000000000000016409013349346617277284352 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 24999999999999997902848 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( a (+ (* 2 a) 4)) 12) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -90000000000000000016409013349346617277284352 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 304999999999999990583686856704 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -90000000000000000016409013349346617277284352 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 304999999999999990583686856704 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -430000000000000008780912069422493831058976675073166006403003924035296588455138795353883494597051547648 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -430000000000000008780912069422493831058976675073166006403003924035296588455138795353883494597051547648 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 12) (.f64 b b)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -5600000000000000180486366256461445777957189649145374392234397964991534420930929661223225994411540387715511913617258956959252480 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 12) (.f64 b b)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* a (+ (* 2 a) 4)) 12) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* a (+ (* 2 a) 4)) 12) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) #s(literal -1 binary64)))

Outputs
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 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 3 binary64) a))))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( a (+ (* 2 a) 4)) 12) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal 47999999999999999508452036896243658757186122678272 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) (+ 3 a))) (.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))))
(if (<=.f64 a #s(literal -1600000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( a (+ (* 2 a) 4)) 12) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 8848935694776951/1427247692705959881058285969449495136382746624 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (.f64 b b) #s(literal 12 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) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (.f64 a a) #s(approx (+ (* 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))))
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(if (or (<=.f64 a #s(literal -1600000000 binary64)) (not (<=.f64 a #s(literal 8848935694776951/1427247692705959881058285969449495136382746624 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( a (+ (* 2 a) 4)) 12) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 (-.f64 a #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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
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(if (<=.f64 a #s(literal -90000000000000000016409013349346617277284352 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 304999999999999990583686856704 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))))
(if (or (<=.f64 a #s(literal -90000000000000000016409013349346617277284352 binary64)) (not (<=.f64 a #s(literal 304999999999999990583686856704 binary64)))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -90000000000000000016409013349346617277284352 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 304999999999999990583686856704 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))))
(if (or (<=.f64 a #s(literal -90000000000000000016409013349346617277284352 binary64)) (not (<=.f64 a #s(literal 304999999999999990583686856704 binary64)))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -430000000000000008780912069422493831058976675073166006403003924035296588455138795353883494597051547648 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -430000000000000008780912069422493831058976675073166006403003924035296588455138795353883494597051547648 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 12) (.f64 b b)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -5600000000000000180486366256461445777957189649145374392234397964991534420930929661223225994411540387715511913617258956959252480 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 12) (.f64 b b)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(if (or (<=.f64 a #s(literal -5600000000000000180486366256461445777957189649145374392234397964991534420930929661223225994411540387715511913617258956959252480 binary64)) (not (<=.f64 a #s(literal 6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 12) (*.f64 b b)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( 4 (- 1 a)) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* a (+ (* 2 a) 4)) 12) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* a (+ (* 2 a) 4)) 12) b) b) (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* 4 (- 1 a)) (* a a))) -1) #s(literal -1 binary64)))

soundness1.6s (20%)

Memory

-9.7MiB live, 520.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	250	1270
1	816	1211
2	2458	1177
3	7298	1174
0	8037	1070
0	181	754
1	564	731
2	1748	707
3	5181	682
4	7336	682
0	8366	625
0	212	1096
1	656	1043
2	1973	1001
3	5502	961
0	8560	847
0	45	466
0	72	466
1	331	466
2	2735	466
0	8576	421
0	278	1415
1	889	1350
2	2710	1306
3	7136	1298
0	8317	1158

Stop Event

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

Compiler

Compiled 2 143 to 624 computations (70.9% saved)

preprocess80.0ms (1%)

Memory: -16.6MiB live, 101.2MiB allocated
Remove: (abs b)
Compiler: Compiled 3 564 to 456 computations (87.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (15.6%)

explain301.0ms (3.9%)

preprocess290.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify262.0ms (3.4%)

localize52.0ms (0.7%)

series9.0ms (0.1%)

simplify187.0ms (2.4%)

rewrite238.0ms (3.1%)

eval180.0ms (2.3%)

prune14.0ms (0.2%)

simplify198.0ms (2.6%)

localize147.0ms (1.9%)

series19.0ms (0.2%)

simplify197.0ms (2.5%)

rewrite233.0ms (3%)

eval79.0ms (1%)

prune39.0ms (0.5%)

simplify180.0ms (2.3%)

localize157.0ms (2%)

series43.0ms (0.6%)

simplify176.0ms (2.3%)

rewrite249.0ms (3.2%)

eval59.0ms (0.8%)

prune64.0ms (0.8%)

simplify158.0ms (2%)

localize161.0ms (2.1%)

series21.0ms (0.3%)

simplify175.0ms (2.3%)

rewrite170.0ms (2.2%)

eval70.0ms (0.9%)

prune93.0ms (1.2%)

regimes89.0ms (1.2%)

regimes26.0ms (0.3%)

regimes35.0ms (0.5%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes49.0ms (0.6%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes18.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes53.0ms (0.7%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch63.0ms (0.8%)

bsearch32.0ms (0.4%)

bsearch3.0ms (0%)

bsearch3.0ms (0%)

bsearch74.0ms (0.9%)

bsearch24.0ms (0.3%)

bsearch11.0ms (0.1%)

bsearch34.0ms (0.4%)

bsearch3.0ms (0%)

bsearch21.0ms (0.3%)

bsearch0.0ms (0%)

simplify93.0ms (1.2%)

soundness1.6s (20%)

preprocess80.0ms (1%)

end0.0ms (0%)

Profiling