Metrics for Bouland and Aaronson, Equation (24)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

sample1.9s (25.9%)

Memory

35.0MiB live, 2 218.3MiB allocated; 383ms collecting garbage

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 544.0ms (46.7% of total)

ival-add: 290.0ms (24.9% of total)

ival-sub: 185.0ms (15.9% of total)

ival-pow2: 121.0ms (10.4% of total)

exact: 12.0ms (1% of total)

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

adjust: 3.0ms (0.3% of total)

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

Bogosity

explain317.0ms (4.3%)

Memory

7.6MiB live, 346.6MiB allocated; 22ms collecting garbage

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)))))`
37	-	-	`(+.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	158
↳	`(*.f64 a a)`	overflow	70
↳	`(+.f64 (.f64 a a) (.f64 b b))`	overflow	120
↳	`(*.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	136
↳	`(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))`	overflow	136
↳	`(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))`	overflow	85
↳	`(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a))`	overflow	88
↳	`(*.f64 a a)`	overflow	70
`+.f64`	`(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))`	nan-rescue	37	0
↳	`(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a))`	overflow	88
↳	`(*.f64 a a)`	overflow	70
↳	`(*.f64 b b)`	overflow	65
↳	`(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))`	overflow	85

Confusion

	Predicted +	Predicted -
+	68	0
-	0	188

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	68	0	0
-	0	0	188

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	188
1	49
2	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

82.0ms

512×

valid

Compiler

Compiled 305 to 58 computations (81% saved)

Precisions

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

ival-mult: 41.0ms (66.5% of total)

ival-add: 9.0ms (14.6% of total)

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

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

exact: 1.0ms (1.6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess205.0ms (2.8%)

Memory

-19.3MiB live, 216.8MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	151
1	173	151
2	796	149
3	3586	149
0	18	29
0	30	29
1	76	29
2	303	29
3	1380	29
4	5060	29
0	8026	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 (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 (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; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.3%	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))

Status

Accuracy

Program

▶

73.3%

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

Compiler

Compiled 29 to 18 computations (37.9% saved)

simplify176.0ms (2.4%)

Memory

8.8MiB live, 158.0MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	136
0	30	136
1	76	136
2	303	136
3	1380	136
4	5060	136
0	8026	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 (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 (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)

localize51.0ms (0.7%)

Memory

-20.1MiB live, 25.8MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.140625	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
accuracy	3.307117244090705	(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy	8.335898280773911	(+.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

40.0ms

256×

valid

Compiler

Compiled 138 to 20 computations (85.5% saved)

Precisions

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

ival-mult: 20.0ms (67.6% of total)

ival-add: 4.0ms (13.5% of total)

ival-sub: 2.0ms (6.8% of total)

ival-pow2: 2.0ms (6.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Counts

6 → 55

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

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))))
(- (+ (* 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 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))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 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)))))
(* (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)))
(- (+ (* 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 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 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))) (+ (* 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)))))

Calls

6 calls:

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

simplify224.0ms (3%)

Memory

-23.1MiB live, 123.3MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	1003
1	653	947
2	2682	885
0	8570	819

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 55

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))))
(- (+ (* 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 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))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 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)))))
(* (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)))
(- (+ (* 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 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 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))) (+ (* 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)))))

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

rewrite201.0ms (2.7%)

Memory

35.2MiB live, 122.7MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	94
0	30	94
1	154	94
2	1468	94
0	8270	81

Stop Event

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

Counts

6 → 562

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

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

eval132.0ms (1.8%)

Memory: -21.5MiB live, 78.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 41 484 to 3 024 computations (92.7% saved)

prune11.0ms (0.1%)

Memory

30.7MiB live, 30.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	606	6	612
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	607	6	613

Accuracy

100.0%

Counts

613 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.2%	(-.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))
▶	66.6%	(-.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))
	66.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	70.4%	(-.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))
▶	67.6%	(-.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 a (fma.f64 #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 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))

Compiler

Compiled 470 to 302 computations (35.7% saved)

simplify334.0ms (4.5%)

Memory

-37.7MiB live, 154.9MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	462
0	66	462
1	140	462
2	513	462
3	2378	462
4	6446	462
0	8150	429

Stop Event

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

Calls

Call 1

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

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

localize99.0ms (1.3%)

Memory

37.6MiB live, 80.4MiB allocated; 7ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 a a)
accuracy	6.781250000000001	(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
accuracy	20.735959953583247	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #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))))) (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	0.10309498993272953	(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
accuracy	25.425783502164222	#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	31.962342758426672	#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 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 a a)
accuracy	0.05144501953688403	(.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
accuracy	25.10123206126108	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) 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	0.0625	(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
accuracy	0.07421875	(.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
accuracy	25.345168286308613	#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))

Samples

56.0ms	248×	0	valid
3.0ms	5×	1	valid
2.0ms	3×	2	valid

Compiler

Compiled 392 to 37 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 18.0ms (40.9% of total)

ival-add: 11.0ms (25% of total)

ival-pow: 6.0ms (13.6% of total)

ival-sub: 4.0ms (9.1% of total)

ival-pow2: 3.0ms (6.8% of total)

adjust: 2.0ms (4.5% of total)

exact: 1.0ms (2.3% of total)

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

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

series35.0ms (0.5%)

Memory

-21.8MiB live, 21.9MiB allocated; 5ms collecting garbage

Counts

20 → 68

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	a	@	inf	((- (+ (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) (+ (* a a) (+ (* -4 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))))) (* (* a a) (+ (* a a) (+ (* -4 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))))) (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))))) (+ (* (* b b) 12) (pow b 4)) (* b b) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* -4 a) 4) (* a a) (- (pow a 4) 1))
3.0ms	a	@	0	((- (+ (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) (+ (* a a) (+ (* -4 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))))) (* (* a a) (+ (* a a) (+ (* -4 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))))) (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))))) (+ (* (* b b) 12) (pow b 4)) (* b b) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* -4 a) 4) (* a a) (- (pow a 4) 1))
2.0ms	a	@	-inf	((- (+ (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) (+ (* a a) (+ (* -4 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))))) (* (* a a) (+ (* a a) (+ (* -4 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))))) (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))))) (+ (* (* b b) 12) (pow b 4)) (* b b) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* -4 a) 4) (* a a) (- (pow a 4) 1))
2.0ms	b	@	-inf	((- (+ (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) (+ (* a a) (+ (* -4 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))))) (* (* a a) (+ (* a a) (+ (* -4 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))))) (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))))) (+ (* (* b b) 12) (pow b 4)) (* b b) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* -4 a) 4) (* a a) (- (pow a 4) 1))
2.0ms	b	@	inf	((- (+ (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) (+ (* a a) (+ (* -4 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))))) (* (* a a) (+ (* a a) (+ (* -4 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))))) (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))))) (+ (* (* b b) 12) (pow b 4)) (* b b) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* -4 a) 4) (* a a) (- (pow a 4) 1))

simplify194.0ms (2.6%)

Memory

-11.3MiB live, 178.2MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1043
1	695	976
2	2689	930
0	8730	847

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 68

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

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

rewrite184.0ms (2.5%)

Memory

20.4MiB live, 207.9MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	418
0	66	418
1	353	418
2	3125	418
0	9055	376

Stop Event

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

Counts

20 → 322

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.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 (neg.f64 (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 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)) (pow.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 2 binary64)))))
(/.f64 (-.f64 (pow.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 2 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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #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))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #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))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) (pow.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 2 binary64))))
(-.f64 (/.f64 (pow.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 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))) (pow.f64 (+.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(literal -1 binary64)))
(-.f64 (/.f64 (pow.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 3 binary64)) (+.f64 (+.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)) (pow.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 2 binary64)))) (pow.f64 (+.f64 (+.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)) (pow.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 2 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 (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 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #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))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)))
#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))) (neg.f64 b)) (neg.f64 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))) (.f64 b b))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(.f64 b (.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) #s(literal 2 binary64))) (.f64 b b)) (-.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 b b)) (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
(*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) #s(literal 2 binary64))) b) (-.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) b) (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (.f64 b (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(/.f64 (.f64 b (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 3/2 binary64)) (*.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b))
(fma.f64 (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)) (*.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 (fma.f64 #s(literal 4 binary64) a (.f64 b b)) b (.f64 #s(literal 12 binary64) b))
(fma.f64 (neg.f64 b) (.f64 b b) (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b))
(fma.f64 (neg.f64 b) (.f64 b b) (.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64)))
(fma.f64 (.f64 b b) (neg.f64 b) (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b))
(fma.f64 (.f64 b b) (neg.f64 b) (.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 (.f64 b b) b (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b))
(fma.f64 (.f64 b b) b (.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 b (fma.f64 #s(literal 4 binary64) a (.f64 b b)) (.f64 #s(literal 12 binary64) b))
(fma.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 b (.f64 b b) (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b))
(fma.f64 b (.f64 b b) (.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(+.f64 (.f64 (fma.f64 #s(literal 4 binary64) a (.f64 b b)) b) (*.f64 #s(literal 12 binary64) b))
(+.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) (pow.f64 b #s(literal 3 binary64)))
(+.f64 (.f64 b (fma.f64 #s(literal 4 binary64) a (.f64 b b))) (*.f64 #s(literal 12 binary64) b))
(+.f64 (*.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (pow.f64 b #s(literal 3 binary64)))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)))) (.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))
(/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 (pow.f64 (.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 a))) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 (neg.f64 a) (neg.f64 a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(fma.f64 a #s(literal -4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))
(-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 (neg.f64 a) a))
(-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a (neg.f64 a)))
(+.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) a))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(+.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 4 binary64))
(+.f64 (.f64 #s(literal -4 binary64) a) (+.f64 #s(literal 4 binary64) (.f64 a a)))
(+.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(+.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.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 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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))))) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)))))
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(+.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (-.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 4 binary64) a) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 a a) (-.f64 #s(literal 16 binary64) (.f64 a #s(literal -16 binary64)))) (.f64 (fma.f64 #s(literal 16 binary64) (.f64 a a) (-.f64 #s(literal 16 binary64) (.f64 a #s(literal -16 binary64)))) #s(literal 64 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (.f64 a a) (-.f64 #s(literal 16 binary64) (.f64 a #s(literal -16 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 16 binary64) (.f64 #s(literal 16 binary64) (.f64 a a))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) a)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 a a)) #s(literal 16 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 a a) (-.f64 #s(literal 16 binary64) (.f64 a #s(literal -16 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 a a)) #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 #s(literal 16 binary64) (.f64 a a)) (*.f64 a #s(literal -16 binary64)))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 a a) (-.f64 #s(literal 16 binary64) (.f64 a #s(literal -16 binary64)))))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))))
(-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 a) #s(literal -4 binary64)))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) a) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 a a) (-.f64 #s(literal 16 binary64) (.f64 a #s(literal -16 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 #s(literal 16 binary64) (.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -16 binary64))))))
(+.f64 (*.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) a))
(*.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 a))))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(.f64 (.f64 a a) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 a a))
(*.f64 a a)
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a) a))
(neg.f64 (*.f64 a (neg.f64 a)))
(sqrt.f64 (pow.f64 a #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a (neg.f64 a)))
(fabs.f64 (neg.f64 (*.f64 a a)))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))))
(.f64 (fma.f64 a a #s(literal 1 binary64)) (-.f64 (.f64 a a) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 a #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 a #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
(expm1.f64 (.f64 (.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 a #s(literal 8 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 a #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 a #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))

eval69.0ms (0.9%)

Memory: 34.3MiB live, 80.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 24 082 to 1 799 computations (92.5% saved)

prune34.0ms (0.5%)

Memory

-56.8MiB live, 48.3MiB allocated; 10ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	436	13	449
Fresh	1	0	1
Picked	5	0	5
Done	0	0	0
Total	442	13	455

Accuracy

100.0%

Counts

455 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (-.f64 (.f64 #s(literal 12 binary64) (.f64 b b)) (.f64 (.f64 (neg.f64 b) b) (*.f64 b b)))) #s(literal 1 binary64))
	67.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (.f64 a a))) #s(literal 1 binary64))
	67.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
▶	70.2%	(-.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))
	66.6%	(-.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))
	41.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
	52.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	70.2%	(-.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 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64))
▶	37.8%	(-.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 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
	50.7%	(-.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))
	68.5%	(-.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))
	46.5%	#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)))
▶	23.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))

Compiler

Compiled 1 148 to 710 computations (38.2% saved)

simplify241.0ms (3.3%)

Memory

30.9MiB live, 312.2MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	575
0	75	557
1	161	547
2	540	545
3	2075	545
4	5374	545
5	7577	545
0	8189	506

Stop Event

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

Calls

Call 1

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

localize104.0ms (1.4%)

Memory

-26.0MiB live, 173.1MiB allocated; 10ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 b)
accuracy	0.140625	(.f64 (.f64 (neg.f64 b) b) (*.f64 b b))
accuracy	0.18512623993272953	(.f64 #s(literal 12 binary64) (.f64 b b))
accuracy	25.425783502164222	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (-.f64 (.f64 #s(literal 12 binary64) (.f64 b b)) (.f64 (.f64 (neg.f64 b) b) (*.f64 b b))))
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	0.20075123993272953	(.f64 (.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
accuracy	25.425783502164222	#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	0.017910009768442016	(.f64 (.f64 b a) #s(literal 4 binary64))
accuracy	0.07421875	(.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (.f64 (.f64 b a) #s(literal 4 binary64))) b)
accuracy	25.345168286308613	#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 b a) #s(literal 4 binary64))) b))
accuracy	40.44316031354331	#s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (.f64 (.f64 b a) #s(literal 4 binary64)))
accuracy	20.735959953583247	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
accuracy	30.3692153472379	#s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))
accuracy	0.07421875	(.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)
accuracy	0.1328125	(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
accuracy	19.128924969319186	#s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b))
accuracy	25.345168286308613	#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 b b #s(literal 12 binary64)) b)) b))

Samples

59.0ms	233×	0	valid
8.0ms	8×	3	valid
5.0ms	9×	1	valid
4.0ms	5×	2	valid
1.0ms	1×	4	valid

Compiler

Compiled 405 to 43 computations (89.4% saved)

Precisions

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

ival-mult: 26.0ms (44.1% of total)

ival-add: 11.0ms (18.6% of total)

adjust: 7.0ms (11.9% of total)

ival-sub: 6.0ms (10.2% of total)

ival-pow: 4.0ms (6.8% of total)

ival-pow2: 4.0ms (6.8% of total)

exact: 1.0ms (1.7% of total)

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

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

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

series14.0ms (0.2%)

Memory

31.4MiB live, 31.4MiB allocated; 0ms collecting garbage

Counts

22 → 57

Calls

Call 1

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

Calls

6 calls:

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

simplify207.0ms (2.8%)

Memory

4.9MiB live, 245.8MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	950
1	683	884
2	2614	840
0	8331	763

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 57

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

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

rewrite158.0ms (2.1%)

Memory

7.4MiB live, 146.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	543
0	75	525
1	364	513
2	3155	512
0	8633	464

Stop Event

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

Counts

22 → 248

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (pow.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 b b #s(literal 12 binary64)) b)) b)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) (pow.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 b b #s(literal 12 binary64)) b)) b)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.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 b b #s(literal 12 binary64)) b)) b)) #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))))) (.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)))
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(fma.f64 (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 #s(literal 12 binary64) b))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 3/2 binary64)) (*.f64 #s(literal 12 binary64) b))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 #s(literal 12 binary64) b))
(fma.f64 (.f64 (neg.f64 b) b) (neg.f64 b) (.f64 #s(literal 12 binary64) b))
(fma.f64 (.f64 (neg.f64 b) b) b (.f64 #s(literal 12 binary64) b))
(fma.f64 (neg.f64 b) (.f64 b b) (.f64 #s(literal 12 binary64) b))
(fma.f64 (.f64 b b) (neg.f64 b) (.f64 #s(literal 12 binary64) b))
(fma.f64 (.f64 b b) b (.f64 #s(literal 12 binary64) b))
(fma.f64 #s(literal 12 binary64) b (pow.f64 b #s(literal 3 binary64)))
(fma.f64 b (.f64 (neg.f64 b) b) (.f64 #s(literal 12 binary64) b))
(fma.f64 b (.f64 b b) (.f64 #s(literal 12 binary64) b))
(fma.f64 b #s(literal 12 binary64) (pow.f64 b #s(literal 3 binary64)))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal 12 binary64) b))
(+.f64 (*.f64 #s(literal 12 binary64) b) (pow.f64 b #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 4 binary64) b) a)
(.f64 (.f64 b #s(literal 4 binary64)) a)
(.f64 (.f64 b a) #s(literal 4 binary64))
(.f64 (.f64 #s(literal 4 binary64) a) b)
(.f64 #s(literal 4 binary64) (.f64 b a))
(.f64 b (.f64 #s(literal 4 binary64) a))
(.f64 a (.f64 b #s(literal 4 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 12 binary64) (neg.f64 b))) b)
(.f64 (fabs.f64 (.f64 #s(literal 12 binary64) b)) b)
(.f64 (.f64 #s(literal 12 binary64) (neg.f64 b)) (neg.f64 b))
(.f64 (.f64 #s(literal 12 binary64) b) b)
(.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 12 binary64)))
(.f64 (.f64 b b) #s(literal 12 binary64))
(.f64 #s(literal 12 binary64) (.f64 b b))
(.f64 b (fabs.f64 (.f64 (neg.f64 b) #s(literal 12 binary64))))
(.f64 b (fabs.f64 (.f64 #s(literal 12 binary64) b)))
(.f64 b (.f64 #s(literal 12 binary64) b))
(sqrt.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 (.f64 b b) #s(literal 12 binary64))))
(fabs.f64 (.f64 (.f64 b b) #s(literal 12 binary64)))
(neg.f64 b)

eval108.0ms (1.5%)

Memory: -32.1MiB live, 77.5MiB allocated; 46ms collecting garbage
Compiler: Compiled 14 288 to 1 130 computations (92.1% saved)

prune41.0ms (0.6%)

Memory

-16.2MiB live, 31.5MiB allocated; 1ms collecting garbage

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	268	1	269
Fresh	0	8	8
Picked	0	5	5
Done	0	0	0
Total	268	14	282

Accuracy

100.0%

Counts

282 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (-.f64 (.f64 #s(literal 12 binary64) (.f64 b b)) (.f64 (.f64 (neg.f64 b) b) (*.f64 b b)))) #s(literal 1 binary64))
▶	67.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (.f64 a a))) #s(literal 1 binary64))
	67.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
✓	70.2%	(-.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))
	66.6%	(-.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))
▶	41.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
▶	52.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	70.2%	(-.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 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64))
✓	37.8%	(-.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 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
	50.7%	(-.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) #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b))) b)) #s(literal 1 binary64))
▶	50.7%	(-.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))
▶	68.5%	(-.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))
	46.5%	#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)))
✓	23.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))

Compiler

Compiled 1 030 to 635 computations (38.3% saved)

simplify269.0ms (3.6%)

Memory

22.4MiB live, 160.1MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	654
0	80	638
1	170	635
2	575	635
3	2606	635
4	7378	635
0	8509	599

Stop Event

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

Calls

Call 1

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

localize170.0ms (2.3%)

Memory

14.8MiB live, 108.8MiB allocated; 4ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 a #s(literal -4 binary64))
accuracy	0.0	(*.f64 a a)
accuracy	0.05144501953688403	(.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (.f64 a a))
accuracy	25.10123206126108	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (.f64 a a)))
accuracy	0.0	(*.f64 a a)
accuracy	0.05144501953688403	(.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
accuracy	25.10123206126108	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
accuracy	29.43276443551197	#s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
accuracy	0.0	(*.f64 a a)
accuracy	0.05144501953688403	(.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))
accuracy	25.10123206126108	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))))
accuracy	29.699301711221068	#s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))
accuracy	0.0	(*.f64 b b)
accuracy	0.18512623993272953	(.f64 (.f64 b b) #s(literal 12 binary64))
accuracy	16.49473441645908	#s(approx (+ (* (* b b) 12) (pow b 4)) (.f64 (.f64 b b) #s(literal 12 binary64)))
accuracy	25.425783502164222	#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	2.919795364091447	(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
accuracy	4.64073274324607	(.f64 (.f64 (*.f64 b b) a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)))
accuracy	7.212236902878519	(.f64 (.f64 b b) a)
accuracy	25.345168286308613	#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)))))

Samples

147.0ms

256×

valid

Compiler

Compiled 454 to 42 computations (90.7% saved)

Precisions

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

ival-add: 72.0ms (69.4% of total)

ival-mult: 21.0ms (20.3% of total)

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

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

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

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

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series50.0ms (0.7%)

Memory

-31.7MiB live, 24.9MiB allocated; 4ms collecting garbage

Counts

25 → 61

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	a	@	-inf	((- (+ (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) a) (+ (/ (+ (* b b) 12) 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))))) (+ (* (* 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) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a 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))))) (* (* a a) (+ (* a a) (+ (* -4 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))))) (* (+ (* a (+ a -4)) 4) (* a a)) (+ (* a (+ a -4)) 4) (* (* b b) a) (/ (+ (* b b) 12) a) (* b b) (+ (* a a) (+ (* -4 a) 4)) (+ (* a a) (+ (* -4 a) 4)) (+ a -4))
5.0ms	a	@	0	((- (+ (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) a) (+ (/ (+ (* b b) 12) 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))))) (+ (* (* 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) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a 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))))) (* (* a a) (+ (* a a) (+ (* -4 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))))) (* (+ (* a (+ a -4)) 4) (* a a)) (+ (* a (+ a -4)) 4) (* (* b b) a) (/ (+ (* b b) 12) a) (* b b) (+ (* a a) (+ (* -4 a) 4)) (+ (* a a) (+ (* -4 a) 4)) (+ a -4))
3.0ms	b	@	inf	((- (+ (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) a) (+ (/ (+ (* b b) 12) 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))))) (+ (* (* 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) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a 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))))) (* (* a a) (+ (* a a) (+ (* -4 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))))) (* (+ (* a (+ a -4)) 4) (* a a)) (+ (* a (+ a -4)) 4) (* (* b b) a) (/ (+ (* b b) 12) a) (* b b) (+ (* a a) (+ (* -4 a) 4)) (+ (* a a) (+ (* -4 a) 4)) (+ a -4))
3.0ms	b	@	0	((- (+ (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) a) (+ (/ (+ (* b b) 12) 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))))) (+ (* (* 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) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a 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))))) (* (* a a) (+ (* a a) (+ (* -4 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))))) (* (+ (* a (+ a -4)) 4) (* a a)) (+ (* a (+ a -4)) 4) (* (* b b) a) (/ (+ (* b b) 12) a) (* b b) (+ (* a a) (+ (* -4 a) 4)) (+ (* a a) (+ (* -4 a) 4)) (+ a -4))
2.0ms	b	@	-inf	((- (+ (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) a) (+ (/ (+ (* b b) 12) 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))))) (+ (* (* 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) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a 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))))) (* (* a a) (+ (* a a) (+ (* -4 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))))) (* (+ (* a (+ a -4)) 4) (* a a)) (+ (* a (+ a -4)) 4) (* (* b b) a) (/ (+ (* b b) 12) a) (* b b) (+ (* a a) (+ (* -4 a) 4)) (+ (* a a) (+ (* -4 a) 4)) (+ a -4))

simplify224.0ms (3%)

Memory

23.0MiB live, 158.7MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	936
1	604	868
2	2350	822
0	8382	744

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 60

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

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

rewrite232.0ms (3.1%)

Memory

-28.2MiB live, 168.0MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	610
0	80	594
1	398	588
2	3283	588
0	8330	545

Stop Event

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

Counts

25 → 277

Calls

Call 1

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

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

eval107.0ms (1.5%)

Memory: 32.1MiB live, 130.2MiB allocated; 7ms collecting garbage
Compiler: Compiled 23 442 to 1 769 computations (92.5% saved)

prune27.0ms (0.4%)

Memory

-31.9MiB live, 61.1MiB allocated; 5ms collecting garbage

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	391	4	395
Fresh	1	3	4
Picked	1	4	5
Done	0	5	5
Total	393	16	409

Accuracy

100.0%

Counts

409 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (-.f64 (.f64 #s(literal 12 binary64) (.f64 b b)) (.f64 (.f64 (neg.f64 b) b) (*.f64 b b)))) #s(literal 1 binary64))
✓	67.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (.f64 a a))) #s(literal 1 binary64))
	67.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
✓	70.2%	(-.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))
	66.6%	(-.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))
✓	41.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
✓	52.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	70.2%	(-.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 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64))
✓	37.8%	(-.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 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
	50.7%	(-.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) #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b))) b)) #s(literal 1 binary64))
✓	50.7%	(-.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))
	68.6%	(-.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 (fma.f64 b (/.f64 b a) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64))))) #s(literal 1 binary64))
	67.8%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (.f64 (.f64 (.f64 b b) a) (+.f64 #s(approx (/ (+ ( b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))))) #s(literal 1 binary64))
	68.5%	(-.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 a) b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))))) #s(literal 1 binary64))
	46.5%	#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)))
✓	23.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))

Compiler

Compiled 1 870 to 630 computations (66.3% saved)

regimes35.0ms (0.5%)

Memory

15.6MiB live, 66.1MiB allocated; 4ms collecting garbage

Counts

25 → 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 (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #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))))) (.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) #s(approx (* (+ (* b b) 12) b) (*.f64 #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) #s(approx (+ (* a a) (+ (* -4 a) 4)) #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 b a) #s(literal 4 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))))) (.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (*.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) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 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 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 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 #s(literal 12 binary64) (.f64 b b)) (.f64 (.f64 (neg.f64 b) b) (*.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))))) #s(approx (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (.f64 (.f64 (.f64 b b) a) (+.f64 #s(approx (/ (+ ( b b) 12) a) (/.f64 (*.f64 b b) 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 a) b) (+.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))))) #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))))) #s(approx (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (.f64 (.f64 (*.f64 b b) a) (+.f64 (fma.f64 b (/.f64 b a) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 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))))) (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 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (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 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 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))

(-.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

5 calls:

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)))))
7.0ms	b
7.0ms	a
6.0ms	(*.f64 b b)
5.0ms	(-.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
98.0%	4	`(*.f64 b b)`
99.2%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))`
99.2%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))`
99.2%	3	`a`
98.0%	4	`b`

Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes20.0ms (0.3%)

Memory

-8.2MiB live, 38.9MiB allocated; 2ms collecting garbage

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

Outputs

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

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

Calls

3 calls:

7.0ms

6.0ms

(+.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)))))

5.0ms

(-.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
97.2%	3	`a`
82.9%	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)))))`
82.9%	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))`

Compiler

Compiled 57 to 37 computations (35.1% saved)

regimes7.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Counts

21 → 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 (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #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))))) (.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) #s(approx (* (+ (* b b) 12) b) (*.f64 #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) #s(approx (+ (* a a) (+ (* -4 a) 4)) #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 b a) #s(literal 4 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))))) (.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (*.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) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 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 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 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 #s(literal 12 binary64) (.f64 b b)) (.f64 (.f64 (neg.f64 b) b) (*.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))))) #s(approx (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (.f64 (.f64 (.f64 b b) a) (+.f64 #s(approx (/ (+ ( b b) 12) a) (/.f64 (*.f64 b b) 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 a) b) (+.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))))) #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))))) #s(approx (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (.f64 (.f64 (*.f64 b b) a) (+.f64 (fma.f64 b (/.f64 b a) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 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))

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.2%	3	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

20.2MiB live, 20.3MiB allocated; 0ms collecting garbage

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

3 calls:

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

Results

Accuracy	Segments	Branch
92.7%	2	`(*.f64 b b)`
92.7%	2	`b`
96.4%	3	`a`

Compiler

Compiled 5 to 7 computations (-40% saved)

regimes13.0ms (0.2%)

Memory

-22.1MiB live, 25.4MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
70.5%	3	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))`
70.5%	3	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))`
82.4%	2	`(*.f64 b b)`
82.4%	2	`b`
82.5%	3	`a`

Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes6.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Counts

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.9%	3	`a`
71.5%	2	`(*.f64 b b)`
71.5%	2	`b`

Compiler

Compiled 5 to 7 computations (-40% saved)

regimes9.0ms (0.1%)

Memory

-27.9MiB live, 19.5MiB allocated; 1ms collecting garbage

Counts

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

Outputs

(-.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))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
50.7%	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)))))`
50.7%	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))`
50.7%	1	`a`
50.7%	1	`(*.f64 b b)`
50.7%	1	`b`

Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes5.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Results

Accuracy	Segments	Branch
23.7%	1	`a`
23.7%	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)))))`
23.7%	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))`
23.7%	1	`(*.f64 b b)`
23.7%	1	`b`

Compiler

Compiled 61 to 42 computations (31.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch31.0ms (0.4%)

Memory

5.2MiB live, 54.9MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	140.79738299745563	225.29551072073735
19.0ms	-1534263577.228694	-162903.09647109552

Samples

19.0ms

192×

valid

Compiler

Compiled 968 to 658 computations (32% saved)

Precisions

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

ival-mult: 6.0ms (40.2% of total)

ival-add: 5.0ms (33.5% 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)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	140.79738299745563	225.29551072073735
1.0ms	-1534263577.228694	-162903.09647109552

Compiler

Compiled 1 112 to 718 computations (35.4% saved)

bsearch20.0ms (0.3%)

Memory

-14.8MiB live, 32.3MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	140.79738299745563	225.29551072073735
17.0ms	-1534263577.228694	-162903.09647109552

Samples

12.0ms

112×

valid

Compiler

Compiled 1 076 to 670 computations (37.7% saved)

Precisions

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

ival-mult: 5.0ms (52.5% of total)

ival-add: 2.0ms (21% of total)

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Memory

-16.8MiB live, 30.5MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.776248931406012e+152	1.8498771757510793e+154

Samples

10.0ms

112×

valid

Compiler

Compiled 606 to 386 computations (36.3% saved)

Precisions

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

ival-mult: 3.0ms (40.5% of total)

ival-add: 2.0ms (27% of total)

ival-sub: 1.0ms (13.5% of total)

ival-pow2: 1.0ms (13.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.3%)

Memory

40.4MiB live, 40.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.281343618297265e+132	1.841037326045177e+140

Samples

13.0ms

144×

valid

Compiler

Compiled 842 to 544 computations (35.4% saved)

Precisions

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

ival-mult: 4.0ms (41% of total)

ival-add: 2.0ms (20.5% of total)

ival-sub: 1.0ms (10.3% of total)

ival-pow2: 1.0ms (10.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify56.0ms (0.8%)

Memory

-17.4MiB live, 79.9MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	652
1	179	650
2	508	650
3	1971	650
4	5541	650

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (-.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(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)) (-.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 -11000000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 225 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 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -11000000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 225 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 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 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -450000000 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 225 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 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 b #s(literal 3799999999999999664059647260252329065322637597857569977728253709776442604474526511918511123691592133377107470629058087678121901390235523063761029801443328 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))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (.f64 (.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 b #s(literal 179999999999999997978809622573903506794678565551477627251360221155199829825996295905050741977254784380840385584594620233062184013877768880128 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #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) 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 (.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 (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))

Outputs
(if (<=.f64 (-.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(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)) (-.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 -11000000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 225 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 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))))
(if (or (<=.f64 a #s(literal -11000000 binary64)) (not (<=.f64 a #s(literal 225 binary64)))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -11000000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 225 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 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 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))))
(if (or (<=.f64 a #s(literal -11000000 binary64)) (not (<=.f64 a #s(literal 225 binary64)))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -450000000 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 225 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 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 -450000000 binary64)) (not (<=.f64 a #s(literal 225 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 #s(approx ( (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)))
(if (<=.f64 b #s(literal 3799999999999999664059647260252329065322637597857569977728253709776442604474526511918511123691592133377107470629058087678121901390235523063761029801443328 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))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (.f64 (.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 b #s(literal 179999999999999997978809622573903506794678565551477627251360221155199829825996295905050741977254784380840385584594620233062184013877768880128 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #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) 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 (.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 (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))

derivations910.0ms (12.3%)

Memory

19.4MiB live, 756.6MiB allocated; 157ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1043
1	695	976
2	2689	930
0	8730	847
0	191	1003
1	653	947
2	2682	885
0	8570	819
0	43	418
0	66	418
1	353	418
2	3125	418
0	9055	376

Stop Event

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

Compiler

Compiled 652 to 103 computations (84.2% saved)

preprocess76.0ms (1%)

Memory: 21.9MiB live, 141.4MiB allocated; 32ms collecting garbage
Remove: (abs b)
Compiler: Compiled 1 558 to 320 computations (79.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.9s (25.9%)

explain317.0ms (4.3%)

preprocess205.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify176.0ms (2.4%)

localize51.0ms (0.7%)

series10.0ms (0.1%)

simplify224.0ms (3%)

rewrite201.0ms (2.7%)

eval132.0ms (1.8%)

prune11.0ms (0.1%)

simplify334.0ms (4.5%)

localize99.0ms (1.3%)

series35.0ms (0.5%)

simplify194.0ms (2.6%)

rewrite184.0ms (2.5%)

eval69.0ms (0.9%)

prune34.0ms (0.5%)

simplify241.0ms (3.3%)

localize104.0ms (1.4%)

series14.0ms (0.2%)

simplify207.0ms (2.8%)

rewrite158.0ms (2.1%)

eval108.0ms (1.5%)

prune41.0ms (0.6%)

simplify269.0ms (3.6%)

localize170.0ms (2.3%)

series50.0ms (0.7%)

simplify224.0ms (3%)

rewrite232.0ms (3.1%)

eval107.0ms (1.5%)

prune27.0ms (0.4%)

regimes35.0ms (0.5%)

regimes20.0ms (0.3%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch31.0ms (0.4%)

bsearch2.0ms (0%)

bsearch20.0ms (0.3%)

bsearch18.0ms (0.2%)

bsearch22.0ms (0.3%)

simplify56.0ms (0.8%)

derivations910.0ms (12.3%)

preprocess76.0ms (1%)

end0.0ms (0%)

Profiling