Metrics for Bouland and Aaronson, Equation (25)

analyze0.0ms (0%)

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 34 to 20 computations (41.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

sample1.6s (16.2%)

Results

1.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 735.0ms

ival-mult: 350.0ms (47.6% of total)

ival-add: 171.0ms (23.3% of total)

ival-pow: 96.0ms (13.1% of total)

ival-sub: 92.0ms (12.5% of total)

const: 22.0ms (3% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess215.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

2502×	`+-lowering-+.f64`
2502×	`+-lowering-+.f32`
1744×	`sum4-define`
1702×	`sum5-define`
1654×	`fnmadd-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	54	160
1	205	146
2	806	138
3	4208	138
0	19	26
1	61	24
2	201	23
3	847	23
4	4874	23
5	7045	22
0	8092	22

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

Outputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
(+ (fma 4 (+ (pow a 3) (fma (square b) (fma a -3 1) (square a))) (square (fma a a (square b)))) -1)
(- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (+ 1 (neg a))) (* (* b b) (- 1 (* 3 (neg a))))))) 1)
(+ (fma 4 (fma (square b) (fma a 3 1) (fmsub a a (pow a 3))) (square (fma a a (square b)))) -1)
(- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (neg b) (neg b)) (- 1 (* 3 a)))))) 1)
(+ (fma 4 (+ (pow a 3) (fma (square b) (fma a -3 1) (square a))) (square (fma a a (square b)))) -1)
(neg (- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (+ 1 (neg a))) (* (* b b) (- 1 (* 3 (neg a))))))) 1))
(- 1 (fma 4 (fma (square b) (fma a 3 1) (fmsub a a (pow a 3))) (square (fma a a (square b)))))
(neg (- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (neg b) (neg b)) (- 1 (* 3 a)))))) 1))
(- 1 (fma 4 (+ (pow a 3) (fma (square b) (fma a -3 1) (square a))) (square (fma a a (square b)))))
(- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (+ (* (* b b) (+ 1 b)) (* (* a a) (- 1 (* 3 b)))))) 1)
(+ (square (fma a a (square b))) (fmsub 4 (+ (pow b 3) (fma (square a) (fma b -3 1) (square b))) 1))

Symmetry

(abs b)

explain248.0ms (2.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
44	0	-	-	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
37	0	-	-	`(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))`
20	0	-	-	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`
0	0	-	-	`(*.f64 #s(literal 3 binary64) a)`
0	0	-	-	`(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))`
0	0	-	-	`b`
0	0	-	-	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) a)`
0	0	-	-	`#s(literal 4 binary64)`
0	0	-	-	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`
0	65	(-2.2372182759271466e+74 4.1926108824377283e-165)	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`
0	0	-	-	`(+.f64 (.f64 a a) (.f64 b b))`
0	0	-	-	`(*.f64 b b)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`#s(literal 3 binary64)`
0	0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))`
0	0	-	-	`a`
0	0	-	-	`(*.f64 a a)`

Results

130.0ms	472×	0	valid
13.0ms	20×	2	valid
9.0ms	20×	1	valid

Compiler

Compiled 341 to 59 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 21.0ms (39.9% of total)

ival-add: 12.0ms (22.8% of total)

ival-pow: 8.0ms (15.2% of total)

ival-sub: 6.0ms (11.4% of total)

backward-pass: 3.0ms (5.7% of total)

const: 2.0ms (3.8% of total)

eval0.0ms (0%)

Compiler: Compiled 39 to 18 computations (53.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.8%	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
▶	74.4%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -12 binary64))))) #s(literal -1 binary64)))

Status

Accuracy

Program

▶

74.8%

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

▶

74.4%

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

Compiler

Compiled 72 to 37 computations (48.6% saved)

simplify186.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 a a) (.f64 b b))
✓	cost-diff	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
✓	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 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
✓	cost-diff	5952	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(+.f64 (.f64 a a) (.f64 b b))
✓	cost-diff	0	(.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b)))
✓	cost-diff	0	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -12 binary64))))) #s(literal -1 binary64)))

Rules

3078×	`+-lowering-+.f64`
3078×	`+-lowering-+.f32`
2368×	`-lowering-.f32`
2368×	`-lowering-.f64`
1724×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	235
1	113	217
2	518	213
3	2358	212
4	3500	212
5	5887	212
0	8082	212

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize184.0ms (1.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
✓	accuracy	92.7%	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
✓	accuracy	87.1%	(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
✓	accuracy	86.3%	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
✓	accuracy	99.7%	(.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b)))
✓	accuracy	92.7%	(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -12 binary64))))
✓	accuracy	87.1%	(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal -12 binary64)))))
✓	accuracy	86.3%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -12 binary64))))) #s(literal -1 binary64)))

Results

102.0ms	236×	0	valid
11.0ms	10×	2	valid
8.0ms	10×	1	valid

Compiler

Compiled 298 to 32 computations (89.3% saved)

Precisions

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

ival-mult: 21.0ms (45.9% of total)

ival-add: 15.0ms (32.8% of total)

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

backward-pass: 3.0ms (6.6% of total)

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

const: 1.0ms (2.2% of total)

series17.0ms (0.2%)

Counts

11 → 252

Calls

Call 1

Inputs
#<alt (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (+ (* (* a a) (+ 4 (* a 4))) (* (* b b) (+ 4 (* a -12)))) -1))>
#<alt (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))>
#<alt (+ (* a a) (* b b))>
#<alt (* a a)>
#<alt (pow (+ (* a a) (* b b)) 2)>
#<alt (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)>
#<alt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))>
#<alt (+ (* (* a a) (+ 4 (* a 4))) (* (* b b) (+ 4 (* a -12))))>
#<alt (* (* b b) (+ 4 (* a -12)))>
#<alt (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))>
#<alt (* (* b b) (- 1 (* 3 a)))>

Outputs
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (- (+ (* (pow a 2) (+ 4 (* 4 a))) (pow a 4)) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (* 4 a))) (+ (* (pow b 2) (+ 4 (+ (* -12 a) (* 2 (pow a 2))))) (pow a 4))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (* 4 a))) (+ (* (pow b 2) (+ 4 (+ (* -12 a) (+ (* 2 (pow a 2)) (pow b 2))))) (pow a 4))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (* 4 a))) (+ (* (pow b 2) (+ 4 (+ (* -12 a) (+ (* 2 (pow a 2)) (pow b 2))))) (pow a 4))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* -12 (/ a (pow b 2))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* (pow a 2) (+ 4 (* 4 a))) (pow b 4)) (/ (pow a 4) (pow b 4))))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* -12 (/ a (pow b 2))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* (pow a 2) (+ 4 (* 4 a))) (pow b 4)) (/ (pow a 4) (pow b 4))))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* -12 (/ a (pow b 2))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* (pow a 2) (+ 4 (* 4 a))) (pow b 4)) (/ (pow a 4) (pow b 4))))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* -12 (/ a (pow b 2))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* (pow a 2) (+ 4 (* 4 a))) (pow b 4)) (/ (pow a 4) (pow b 4))))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (+ (* 4 (pow b 2)) (pow b 4))>
#<alt (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))>
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* 4 (pow b 2))>
#<alt (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))>
#<alt (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 4 a))))>
#<alt (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 4 a))))))>
#<alt (* 4 (pow a 3))>
#<alt (* (pow a 3) (+ 4 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))))>
#<alt (* (pow a 3) (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (* 4 (/ 1 a))))))>
#<alt (* 4 (pow a 3))>
#<alt (* (pow a 3) (+ 4 (* 4 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -12 (/ (pow b 2) a))) a)) 4)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -1 (/ (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))) a))) a)) 4)))>
#<alt (* (pow a 2) (+ 4 (* 4 a)))>
#<alt (+ (* (pow a 2) (+ 4 (* 4 a))) (* (pow b 2) (+ 4 (* -12 a))))>
#<alt (+ (* (pow a 2) (+ 4 (* 4 a))) (* (pow b 2) (+ 4 (* -12 a))))>
#<alt (+ (* (pow a 2) (+ 4 (* 4 a))) (* (pow b 2) (+ 4 (* -12 a))))>
#<alt (* (pow b 2) (+ 4 (* -12 a)))>
#<alt (* (pow b 2) (+ 4 (+ (* -12 a) (/ (* (pow a 2) (+ 4 (* 4 a))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 4 (+ (* -12 a) (/ (* (pow a 2) (+ 4 (* 4 a))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 4 (+ (* -12 a) (/ (* (pow a 2) (+ 4 (* 4 a))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 4 (* -12 a)))>
#<alt (* (pow b 2) (+ 4 (+ (* -12 a) (/ (* (pow a 2) (+ 4 (* 4 a))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 4 (+ (* -12 a) (/ (* (pow a 2) (+ 4 (* 4 a))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 4 (+ (* -12 a) (/ (* (pow a 2) (+ 4 (* 4 a))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 4 (* -12 a)))>
#<alt (* (pow b 2) (+ 4 (* -12 a)))>
#<alt (* (pow b 2) (+ 4 (* -12 a)))>
#<alt (* (pow b 2) (+ 4 (* -12 a)))>
#<alt (* (pow b 2) (+ 4 (* -12 a)))>
#<alt (* (pow b 2) (+ 4 (* -12 a)))>
#<alt (* (pow b 2) (+ 4 (* -12 a)))>
#<alt (* (pow b 2) (+ 4 (* -12 a)))>
#<alt (* (pow b 2) (+ 4 (* -12 a)))>
#<alt (* (pow b 2) (+ 4 (* -12 a)))>
#<alt (* (pow b 2) (+ 4 (* -12 a)))>
#<alt (* (pow b 2) (+ 4 (* -12 a)))>
#<alt (* 4 (pow b 2))>
#<alt (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))>
#<alt (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))>
#<alt (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))>
#<alt (* -12 (* a (pow b 2)))>
#<alt (* a (+ (* -12 (pow b 2)) (* 4 (/ (pow b 2) a))))>
#<alt (* a (+ (* -12 (pow b 2)) (* 4 (/ (pow b 2) a))))>
#<alt (* a (+ (* -12 (pow b 2)) (* 4 (/ (pow b 2) a))))>
#<alt (* -12 (* a (pow b 2)))>
#<alt (* -1 (* a (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))>
#<alt (+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))>
#<alt (* (pow a 2) (+ 1 a))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (* -3 (* a (pow b 2)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* -3 (* a (pow b 2)))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>

Calls

63 calls:

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

rewrite415.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

6198×	`-lowering-.f32`
6198×	`-lowering-.f64`
2942×	`/-lowering-/.f32`
2942×	`/-lowering-/.f64`
2394×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	138
1	247	130
2	2793	126
0	11073	126

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 239

Calls

Call 1

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

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

simplify273.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

5372×	`+-lowering-+.f64`
5372×	`+-lowering-+.f32`
4282×	`-lowering-.f32`
4282×	`-lowering-.f64`
1662×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	3855
1	957	3266
2	3662	3090
0	8314	3090

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(+.f64 (.f64 (.f64 b b) (+.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal -12 binary64) a)) (.f64 b b))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(+.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 a (+.f64 (.f64 #s(literal 4 binary64) a) (.f64 (.f64 b b) (+.f64 (.f64 a #s(literal 2 binary64)) #s(literal -12 binary64))))))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+.f64 (+.f64 (.f64 (.f64 b b) (+.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal -12 binary64) a)) (.f64 b b))) (.f64 a (.f64 a (+.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a)))))) #s(literal -1 binary64))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a a)) (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (.f64 a a)))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 (/.f64 (.f64 b b) (.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (.f64 a a))))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 b (.f64 b #s(literal 2 binary64)))) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)))) a)) a)))
(- (+ (* (pow a 2) (+ 4 (* 4 a))) (pow a 4)) 1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a)))))
(- (+ (* (pow a 2) (+ 4 (* 4 a))) (+ (* (pow b 2) (+ 4 (+ (* -12 a) (* 2 (pow a 2))))) (pow a 4))) 1)
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(pow a 4)
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(pow b 4)
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(pow b 4)
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(pow a 4)
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(pow a 4)
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
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(pow b 4)
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(* 4 (pow b 2))
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(* 4 (pow a 3))
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(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
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(* 4 (pow a 3))
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(* (pow a 2) (+ 4 (* 4 a)))
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(* (pow b 2) (+ 4 (* -12 a)))
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(* (pow b 2) (+ 4 (+ (* -12 a) (/ (* (pow a 2) (+ 4 (* 4 a))) (pow b 2)))))
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(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a)))
(* (pow b 2) (+ 4 (* -12 a)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a)))
(* (pow b 2) (+ 4 (* -12 a)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a)))
(* (pow b 2) (+ 4 (* -12 a)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a)))
(* (pow b 2) (+ 4 (* -12 a)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a)))
(* (pow b 2) (+ 4 (* -12 a)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a)))
(* (pow b 2) (+ 4 (* -12 a)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a)))
(* (pow b 2) (+ 4 (* -12 a)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a)))
(* (pow b 2) (+ 4 (* -12 a)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a)))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a)))
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a)))
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a)))
(* -12 (* a (pow b 2)))
(.f64 b (.f64 b (*.f64 #s(literal -12 binary64) a)))
(* a (+ (* -12 (pow b 2)) (* 4 (/ (pow b 2) a))))
(.f64 a (.f64 (*.f64 b b) (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) a))))
(* a (+ (* -12 (pow b 2)) (* 4 (/ (pow b 2) a))))
(.f64 a (.f64 (*.f64 b b) (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) a))))
(* a (+ (* -12 (pow b 2)) (* 4 (/ (pow b 2) a))))
(.f64 a (.f64 (*.f64 b b) (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) a))))
(* -12 (* a (pow b 2)))
(.f64 b (.f64 b (*.f64 #s(literal -12 binary64) a)))
(* -1 (* a (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2)))))
(.f64 a (.f64 (*.f64 b b) (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) a))))
(* -1 (* a (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2)))))
(.f64 a (.f64 (*.f64 b b) (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) a))))
(* -1 (* a (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2)))))
(.f64 a (.f64 (*.f64 b b) (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) a))))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+.f64 (.f64 a a) (.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(+.f64 (.f64 a (.f64 a (+.f64 #s(literal 1 binary64) a))) (.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))))
(pow a 3)
(.f64 a (.f64 a a))
(* (pow a 3) (+ 1 (/ 1 a)))
(.f64 a (.f64 a (+.f64 #s(literal 1 binary64) a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -3 binary64)) (.f64 a a))))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(.f64 (.f64 a a) (+.f64 (.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -3 binary64)) (.f64 a a))) (/.f64 (.f64 b b) (.f64 a (*.f64 a a))))) #s(literal 1 binary64)))
(pow a 3)
(.f64 a (.f64 a a))
(* (pow a 3) (+ 1 (/ 1 a)))
(.f64 a (.f64 a (+.f64 #s(literal 1 binary64) a)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -3 binary64)) a)) a)) (-.f64 #s(literal 0 binary64) (.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b (-.f64 (.f64 b #s(literal 3 binary64)) (/.f64 b a))) a)) a)) (-.f64 #s(literal 0 binary64) (.f64 a (*.f64 a a))))
(* (pow a 2) (+ 1 a))
(.f64 a (.f64 a (+.f64 #s(literal 1 binary64) a)))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+.f64 (.f64 a (.f64 a (+.f64 #s(literal 1 binary64) a))) (.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+.f64 (.f64 a (.f64 a (+.f64 #s(literal 1 binary64) a))) (.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+.f64 (.f64 a (.f64 a (+.f64 #s(literal 1 binary64) a))) (.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (/.f64 (.f64 a (+.f64 #s(literal 1 binary64) a)) (*.f64 b b)) #s(literal -3 binary64)))))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (/.f64 (.f64 a (+.f64 #s(literal 1 binary64) a)) (*.f64 b b)) #s(literal -3 binary64)))))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (/.f64 (.f64 a (+.f64 #s(literal 1 binary64) a)) (*.f64 b b)) #s(literal -3 binary64)))))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (/.f64 (.f64 a (+.f64 #s(literal 1 binary64) a)) (*.f64 b b)) #s(literal -3 binary64)))))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (/.f64 (.f64 a (+.f64 #s(literal 1 binary64) a)) (*.f64 b b)) #s(literal -3 binary64)))))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (/.f64 (.f64 a (+.f64 #s(literal 1 binary64) a)) (*.f64 b b)) #s(literal -3 binary64)))))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(* -3 (* a (pow b 2)))
(.f64 a (.f64 (*.f64 b b) #s(literal -3 binary64)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(.f64 a (.f64 b (+.f64 (/.f64 b a) (*.f64 b #s(literal -3 binary64)))))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(.f64 a (.f64 b (+.f64 (/.f64 b a) (*.f64 b #s(literal -3 binary64)))))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(.f64 a (.f64 b (+.f64 (/.f64 b a) (*.f64 b #s(literal -3 binary64)))))
(* -3 (* a (pow b 2)))
(.f64 a (.f64 (*.f64 b b) #s(literal -3 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(.f64 a (.f64 b (+.f64 (/.f64 b a) (*.f64 b #s(literal -3 binary64)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(.f64 a (.f64 b (+.f64 (/.f64 b a) (*.f64 b #s(literal -3 binary64)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(.f64 a (.f64 b (+.f64 (/.f64 b a) (*.f64 b #s(literal -3 binary64)))))

eval110.0ms (1.1%)

Compiler: Compiled 35803 to 1529 computations (95.7% saved)

prune66.0ms (0.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	658	17	675
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	660	17	677

Accuracy

100.0%

Counts

677 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 #s(literal -4 binary64) (+.f64 (.f64 a (.f64 a (+.f64 a #s(literal 1 binary64)))) (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))))) (-.f64 (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 #s(literal 16 binary64) (.f64 (+.f64 (.f64 a (.f64 a (+.f64 a #s(literal 1 binary64)))) (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))) (+.f64 (.f64 a (.f64 a (+.f64 a #s(literal 1 binary64)))) (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64)))))))))) #s(literal 1 binary64))
	18.5%	(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
	13.9%	(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
▶	18.5%	(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a))))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
	18.9%	(-.f64 (+.f64 (.f64 (.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b))) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
	42.1%	(-.f64 (+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b))))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
▶	65.7%	(-.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
	57.7%	(-.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
▶	70.2%	(-.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64))
	68.7%	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64))
	69.8%	(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
	67.9%	(-.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))
▶	99.0%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64)))
	92.0%	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a)))) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 #s(literal -12 binary64) (.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64)))
	43.8%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
	45.3%	(.f64 b (.f64 b (*.f64 b b)))
▶	43.5%	(.f64 a (.f64 a (*.f64 a a)))

Compiler

Compiled 1362 to 568 computations (58.3% saved)

simplify177.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

3620×	`+-lowering-+.f64`
3620×	`+-lowering-+.f32`
2332×	`-lowering-.f32`
2332×	`-lowering-.f64`
1516×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	493
1	152	422
2	488	410
3	1865	410
4	5659	410
0	8028	410

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize253.0ms (2.5%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	87.1%	(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
✓	accuracy	86.6%	(.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))
✓	accuracy	86.3%	(+.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a))))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
✓	accuracy	25.8%	(/.f64 (.f64 (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))))
✓	accuracy	99.8%	(.f64 b (.f64 b b))
✓	accuracy	93.7%	(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
✓	accuracy	92.7%	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
✓	accuracy	87.1%	(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
✓	accuracy	100.0%	(+.f64 (*.f64 b b) #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64))
✓	accuracy	99.8%	(.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64)))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(.f64 a (.f64 a (*.f64 a a)))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	100.0%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 4 binary64) (.f64 b b))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) #s(literal -1 binary64))
✓	accuracy	99.7%	(.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b)))

Results

135.0ms	236×	0	valid
18.0ms	10×	2	valid
13.0ms	10×	1	valid

Compiler

Compiled 672 to 40 computations (94% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 29.0ms (51.9% of total)

ival-add: 14.0ms (25.1% of total)

ival-sub: 7.0ms (12.5% of total)

backward-pass: 4.0ms (7.2% of total)

ival-div: 2.0ms (3.6% of total)

const: 1.0ms (1.8% of total)

series28.0ms (0.3%)

Counts

23 → 420

Calls

Call 1

Inputs
#<alt (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (* b b)) -1))>
#<alt (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))>
#<alt (+ (* a a) (* b b))>
#<alt (* a a)>
#<alt (* a (* a (* a a)))>
#<alt (* a (* a a))>
#<alt (- (* (* b b) (+ (* b b) 4)) 1)>
#<alt (* (* b b) (+ (* b b) 4))>
#<alt (* b b)>
#<alt (+ (* b b) 4)>
#<alt (+ (* b (* b (* b b))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))>
#<alt (- (+ (* b (* b (* b b))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)>
#<alt (* b (* b (* b b)))>
#<alt (* b (* b b))>
#<alt (- (+ (/ (* (+ (* (* a a) (* a (* a (* a a)))) (* (* b b) (* b (* b (* b b))))) (+ (* a a) (* b b))) (+ (* a (* a (* a a))) (* (* b b) (- (* b b) (* a a))))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)>
#<alt (+ (/ (* (+ (* (* a a) (* a (* a (* a a)))) (* (* b b) (* b (* b (* b b))))) (+ (* a a) (* b b))) (+ (* a (* a (* a a))) (* (* b b) (- (* b b) (* a a))))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))>
#<alt (/ (* (+ (* (* a a) (* a (* a (* a a)))) (* (* b b) (* b (* b (* b b))))) (+ (* a a) (* b b))) (+ (* a (* a (* a a))) (* (* b b) (- (* b b) (* a a)))))>
#<alt (* (+ (* (* a a) (* a (* a (* a a)))) (* (* b b) (* b (* b (* b b))))) (+ (* a a) (* b b)))>
#<alt (+ (* 4 (* b b)) -1)>
#<alt (* 4 (* b b))>
#<alt (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))>
#<alt (* (* b b) (- 1 (* 3 a)))>
#<alt (* (* b b) (- (* b b) (* a a)))>

Outputs
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt 4>
#<alt (+ 4 (pow b 2))>
#<alt (+ 4 (pow b 2))>
#<alt (+ 4 (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* 4 (* (pow a 2) (+ 1 a)))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (* 4 (* (pow b 2) (- 1 (* 3 a)))))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (* (pow b 2) (+ (* 4 (- 1 (* 3 a))) (pow b 2))))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (* (pow b 2) (+ (* 4 (- 1 (* 3 a))) (pow b 2))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))>
#<alt (+ (* 4 (pow b 2)) (pow b 4))>
#<alt (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* 4 a))) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 4 a))))) (pow b 4)))>
#<alt (* 4 (pow a 3))>
#<alt (* (pow a 3) (+ 4 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))))>
#<alt (* (pow a 3) (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (+ (* 4 (/ 1 a)) (/ (pow b 4) (pow a 3)))))))>
#<alt (* 4 (pow a 3))>
#<alt (* (pow a 3) (+ 4 (* 4 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -12 (/ (pow b 2) a))) a)) 4)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow b 2)) (pow b 4)) a)) (* 12 (pow b 2))) a))) a)) 4)))>
#<alt (- (* 4 (* (pow a 2) (+ 1 a))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (* 4 (* (pow b 2) (- 1 (* 3 a))))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (* (pow b 2) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (* (pow b 2) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* 4 a))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 4 a))))) (pow b 4))) 1)>
#<alt (* 4 (pow a 3))>
#<alt (* (pow a 3) (+ 4 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))))>
#<alt (* (pow a 3) (- (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (+ (* 4 (/ 1 a)) (/ (pow b 4) (pow a 3)))))) (/ 1 (pow a 3))))>
#<alt (* 4 (pow a 3))>
#<alt (* (pow a 3) (+ 4 (* 4 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -12 (/ (pow b 2) a))) a)) 4)))>
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#<alt (pow b 4)>
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#<alt (pow b 4)>
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#<alt (pow b 4)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (- (+ 4 (pow b 2)) (* -1 (pow b 2)))))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (- (+ 4 (+ (* 4 a) (pow b 2))) (* -1 (pow b 2)))))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2))))) (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 4 (/ 1 a)) (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))))) (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (pow b 2)) (* -1 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (pow b 2))) (* -1 (pow b 2))) a)) 4) a))))>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (- (+ (* 4 (- 1 (* 3 a))) (pow a 2)) (* -1 (pow a 2)))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (- (+ (* -1 (* (pow b 2) (+ 1 (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 2)))))) (+ (* 4 (- 1 (* 3 a))) (pow a 2))) (* -1 (pow a 2)))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (- (+ (* 4 (- 1 (* 3 a))) (+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 4))) (* 2 (/ 1 (pow a 2)))))) (+ 1 (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 2)))))) (pow a 2))) (* -1 (pow a 2)))) (pow a 4))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 2) (pow b 2)))) (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 2) (pow b 2))))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ 1 (pow b 4)) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 6) (pow b 6)))))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ 1 (pow b 4)) (+ (/ (* (pow a 2) (+ (* -1 (* (pow a 2) (- (pow a 2) (* -1 (pow a 2))))) (pow a 4))) (pow b 6)) (+ (/ (* (pow a 4) (- (pow a 2) (* -1 (pow a 2)))) (pow b 6)) (/ (pow a 4) (pow b 4)))))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 2) (pow b 2)))) (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 2) (pow b 2))))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ 1 (pow b 4)) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 6) (pow b 6)))))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ 1 (pow b 4)) (+ (/ (* (pow a 2) (+ (* -1 (* (pow a 2) (- (pow a 2) (* -1 (pow a 2))))) (pow a 4))) (pow b 6)) (+ (/ (* (pow a 4) (- (pow a 2) (* -1 (pow a 2)))) (pow b 6)) (/ (pow a 4) (pow b 4)))))))))>
#<alt (+ (* 4 (pow b 2)) (pow b 4))>
#<alt (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (- (+ 4 (pow b 2)) (* -1 (pow b 2)))))) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (- (+ 4 (+ (* 4 a) (pow b 2))) (* -1 (pow b 2)))))) (pow b 4)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2))))) (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 4 (/ 1 a)) (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))))) (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (pow b 2)) (* -1 (pow b 2))) a)) 4) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (pow b 2))) (* -1 (pow b 2))) a)) 4) a))))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (- (+ (* 4 (- 1 (* 3 a))) (pow a 2)) (* -1 (pow a 2)))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (- (+ (* -1 (* (pow b 2) (+ 1 (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 2)))))) (+ (* 4 (- 1 (* 3 a))) (pow a 2))) (* -1 (pow a 2)))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (- (+ (* 4 (- 1 (* 3 a))) (+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 4))) (* 2 (/ 1 (pow a 2)))))) (+ 1 (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 2)))))) (pow a 2))) (* -1 (pow a 2)))) (pow a 4)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 2) (pow b 2)))) (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 2) (pow b 2))))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 6) (pow b 6)))))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ (* (pow a 2) (+ (* -1 (* (pow a 2) (- (pow a 2) (* -1 (pow a 2))))) (pow a 4))) (pow b 6)) (+ (/ (* (pow a 4) (- (pow a 2) (* -1 (pow a 2)))) (pow b 6)) (/ (pow a 4) (pow b 4))))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 2) (pow b 2)))) (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 2) (pow b 2))))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 6) (pow b 6)))))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ (* (pow a 2) (+ (* -1 (* (pow a 2) (- (pow a 2) (* -1 (pow a 2))))) (pow a 4))) (pow b 6)) (+ (/ (* (pow a 4) (- (pow a 2) (* -1 (pow a 2)))) (pow b 6)) (/ (pow a 4) (pow b 4))))))))>
#<alt (pow b 4)>
#<alt (+ (* (pow a 2) (- (pow b 2) (* -1 (pow b 2)))) (pow b 4))>
#<alt (+ (* (pow a 2) (- (+ (* -1 (* (pow a 2) (+ 1 (* -1 (/ (- (pow b 2) (* -1 (pow b 2))) (pow b 2)))))) (pow b 2)) (* -1 (pow b 2)))) (pow b 4))>
#<alt (+ (* (pow a 2) (- (+ (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1 (/ (- (pow b 2) (* -1 (pow b 2))) (pow b 4))) (* 2 (/ 1 (pow b 2)))))) (+ 1 (* -1 (/ (- (pow b 2) (* -1 (pow b 2))) (pow b 2)))))) (pow b 2)) (* -1 (pow b 2)))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow b 2) (- (pow b 2) (* -1 (pow b 2))))) (pow b 4)) (pow a 4))) (/ (pow b 2) (pow a 2)))) (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (* (pow b 2) (- (pow b 2) (* -1 (pow b 2)))) (pow a 4))) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* (pow b 2) (+ (* -1 (* (pow b 2) (- (pow b 2) (* -1 (pow b 2))))) (pow b 4))) (pow a 6)) (+ (/ (* (pow b 4) (- (pow b 2) (* -1 (pow b 2)))) (pow a 6)) (/ (pow b 4) (pow a 4))))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow b 2) (- (pow b 2) (* -1 (pow b 2))))) (pow b 4)) (pow a 4))) (/ (pow b 2) (pow a 2)))) (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (* (pow b 2) (- (pow b 2) (* -1 (pow b 2)))) (pow a 4))) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* (pow b 2) (+ (* -1 (* (pow b 2) (- (pow b 2) (* -1 (pow b 2))))) (pow b 4))) (pow a 6)) (+ (/ (* (pow b 4) (- (pow b 2) (* -1 (pow b 2)))) (pow a 6)) (/ (pow b 4) (pow a 4))))))))>
#<alt (pow a 4)>
#<alt (+ (* (pow b 2) (- (pow a 2) (* -1 (pow a 2)))) (pow a 4))>
#<alt (+ (* (pow b 2) (- (+ (* -1 (* (pow b 2) (+ 1 (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 2)))))) (pow a 2)) (* -1 (pow a 2)))) (pow a 4))>
#<alt (+ (* (pow b 2) (- (+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 4))) (* 2 (/ 1 (pow a 2)))))) (+ 1 (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 2)))))) (pow a 2)) (* -1 (pow a 2)))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- (+ 1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow a 2) (- (pow a 2) (* -1 (pow a 2))))) (pow a 4)) (pow b 4))) (/ (pow a 2) (pow b 2)))) (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (/ (pow a 2) (pow b 2)) (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ (* (pow a 2) (+ (* -1 (* (pow a 2) (- (pow a 2) (* -1 (pow a 2))))) (pow a 4))) (pow b 6)) (+ (/ (* (pow a 4) (- (pow a 2) (* -1 (pow a 2)))) (pow b 6)) (/ (pow a 4) (pow b 4))))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- (+ 1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow a 2) (- (pow a 2) (* -1 (pow a 2))))) (pow a 4)) (pow b 4))) (/ (pow a 2) (pow b 2)))) (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (/ (pow a 2) (pow b 2)) (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ (* (pow a 2) (+ (* -1 (* (pow a 2) (- (pow a 2) (* -1 (pow a 2))))) (pow a 4))) (pow b 6)) (+ (/ (* (pow a 4) (- (pow a 2) (* -1 (pow a 2)))) (pow b 6)) (/ (pow a 4) (pow b 4))))))))>
#<alt (pow b 8)>
#<alt (+ (* (pow a 2) (pow b 6)) (pow b 8))>
#<alt (+ (* (pow a 2) (+ (* (pow a 4) (pow b 2)) (pow b 6))) (pow b 8))>
#<alt (+ (* (pow a 2) (+ (* (pow a 4) (+ (pow a 2) (pow b 2))) (pow b 6))) (pow b 8))>
#<alt (pow a 8)>
#<alt (* (pow a 8) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 8) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 6) (pow a 6)))))>
#<alt (* (pow a 8) (+ 1 (+ (/ (pow b 2) (pow a 2)) (+ (/ (pow b 6) (pow a 6)) (/ (pow b 8) (pow a 8))))))>
#<alt (pow a 8)>
#<alt (* (pow a 8) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 8) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 6) (pow a 6)))))>
#<alt (* (pow a 8) (+ 1 (+ (/ (pow b 2) (pow a 2)) (+ (/ (pow b 6) (pow a 6)) (/ (pow b 8) (pow a 8))))))>
#<alt (pow a 8)>
#<alt (+ (* (pow a 6) (pow b 2)) (pow a 8))>
#<alt (+ (* (pow b 2) (+ (* (pow a 2) (pow b 4)) (pow a 6))) (pow a 8))>
#<alt (+ (* (pow b 2) (+ (* (pow b 4) (+ (pow a 2) (pow b 2))) (pow a 6))) (pow a 8))>
#<alt (pow b 8)>
#<alt (* (pow b 8) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 8) (+ 1 (+ (/ (pow a 2) (pow b 2)) (/ (pow a 6) (pow b 6)))))>
#<alt (* (pow b 8) (+ 1 (+ (/ (pow a 2) (pow b 2)) (+ (/ (pow a 6) (pow b 6)) (/ (pow a 8) (pow b 8))))))>
#<alt (pow b 8)>
#<alt (* (pow b 8) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 8) (+ 1 (+ (/ (pow a 2) (pow b 2)) (/ (pow a 6) (pow b 6)))))>
#<alt (* (pow b 8) (+ 1 (+ (/ (pow a 2) (pow b 2)) (+ (/ (pow a 6) (pow b 6)) (/ (pow a 8) (pow b 8))))))>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))>
#<alt (+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ 1 a)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))>
#<alt (* (pow a 2) (+ 1 a))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (* (pow b 2) (- 1 (* 3 a)))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))>
#<alt (* -3 (* a (pow b 2)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))>
#<alt (* -3 (* a (pow b 2)))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))>
#<alt (* -1 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (* -1 (pow a 2)) (pow b 2)))>
#<alt (* (pow b 2) (+ (* -1 (pow a 2)) (pow b 2)))>
#<alt (* (pow b 2) (+ (* -1 (pow a 2)) (pow b 2)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 4)>
#<alt (+ (* -1 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* -1 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* -1 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (* -1 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))>
#<alt (* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))>
#<alt (* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))>
#<alt (* -1 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))>
#<alt (* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))>
#<alt (* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))>

Calls

105 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(- (+ (/ (* (+ (* (* a a) (* a (* a (* a a)))) (* (* b b) (* b (* b (* b b))))) (+ (* a a) (* b b))) (+ (* a (* a (* a a))) (* (* b b) (- (* b b) (* a a))))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
3.0ms	b	@	inf	(+ (/ (* (+ (* (* a a) (* a (* a (* a a)))) (* (* b b) (* b (* b (* b b))))) (+ (* a a) (* b b))) (+ (* a (* a (* a a))) (* (* b b) (- (* b b) (* a a))))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
1.0ms	b	@	0	(- (+ (/ (* (+ (* (* a a) (* a (* a (* a a)))) (* (* b b) (* b (* b (* b b))))) (+ (* a a) (* b b))) (+ (* a (* a (* a a))) (* (* b b) (- (* b b) (* a a))))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
1.0ms	b	@	0	(* (+ (* (* a a) (* a (* a (* a a)))) (* (* b b) (* b (* b (* b b))))) (+ (* a a) (* b b)))
1.0ms	a	@	inf	(/ (* (+ (* (* a a) (* a (* a (* a a)))) (* (* b b) (* b (* b (* b b))))) (+ (* a a) (* b b))) (+ (* a (* a (* a a))) (* (* b b) (- (* b b) (* a a)))))

rewrite313.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3240×	`-lowering-.f32`
3240×	`-lowering-.f64`
1944×	`fma-lowering-fma.f32`
1944×	`fma-lowering-fma.f64`
1840×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	278
1	336	202
2	3719	196
0	8529	196

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 455

Calls

Call 1

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

Outputs
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b)))))
(+.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b)))))
(+.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))))
(+.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b)))) #s(literal -1 binary64))
(+.f64 (+.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))))
(+.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) #s(literal -1 binary64)) (.f64 (*.f64 b b) #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (-.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (+.f64 (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))))) (+.f64 (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))))) (+.f64 (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))))) (neg.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (-.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (-.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) #s(literal 1 binary64)) (-.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (+.f64 (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64))
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(.f64 (+.f64 (.f64 (.f64 (.f64 a a) (+.f64 a #s(literal 1 binary64))) (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))))) (.f64 (.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))) (.f64 b (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64)))) (.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) (.f64 (.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))) (-.f64 (.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))) (.f64 (.f64 a a) (+.f64 a #s(literal 1 binary64))))))))
(.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64)))) (.f64 b (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64)))) (.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a a) (+.f64 a #s(literal 1 binary64))) (.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))))))
(+.f64 (.f64 (.f64 b b) #s(literal 1 binary64)) (.f64 (.f64 b b) (*.f64 a #s(literal -3 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 (.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(/.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 27 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 3 binary64))))))
(/.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 27 binary64))) (.f64 b b)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 3 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64))) (.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64))))
(.f64 b (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))) (*.f64 b b))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) b)
(+.f64 (.f64 b (.f64 b (.f64 b b))) (neg.f64 (.f64 a (.f64 a (.f64 b b)))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.f64 a a))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 b b)))
(+.f64 (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a))) (+.f64 (.f64 (neg.f64 (.f64 b b)) (.f64 a a)) (.f64 a (.f64 a (.f64 b b)))))
(+.f64 (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (.f64 b b) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a))))
(+.f64 (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 a a)) (.f64 b b)))
(-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 b b))))
(fma.f64 b (.f64 b (.f64 b b)) (neg.f64 (.f64 a (.f64 a (*.f64 b b)))))
(fma.f64 (.f64 b b) (.f64 b b) (neg.f64 (.f64 a (.f64 a (*.f64 b b)))))
(fma.f64 (.f64 b (.f64 b b)) b (neg.f64 (.f64 a (.f64 a (*.f64 b b)))))
(/.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (-.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (+.f64 (.f64 (.f64 b b) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 a (.f64 a (.f64 b b))) (.f64 a (.f64 a (.f64 b b)))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (*.f64 b b)))))))
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 (.f64 a (.f64 a (.f64 b b))) (.f64 a (.f64 a (.f64 b b))))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))))
(/.f64 (.f64 (.f64 b b) (-.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b)))))
(/.f64 (.f64 (.f64 b b) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (+.f64 (.f64 a a) (.f64 b b)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.f64 b b)) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (*.f64 b b)))))
(/.f64 (.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))
(.f64 b (.f64 b (-.f64 (.f64 b b) (.f64 a a))))
(.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))
(.f64 (-.f64 (.f64 b b) (.f64 a a)) (.f64 b b))
(.f64 (+.f64 a b) (.f64 (-.f64 b a) (*.f64 b b)))
(.f64 (.f64 b (-.f64 (.f64 b b) (.f64 a a))) b)
(.f64 (.f64 (*.f64 b b) (+.f64 a b)) (-.f64 b a))

simplify314.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

3668×	`+-lowering-+.f64`
3668×	`+-lowering-+.f32`
3244×	`-lowering-.f32`
3244×	`-lowering-.f64`
1764×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	482	6459
1	1694	5160
2	6650	4979
0	8256	4979

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* 4 (* (pow a 2) (+ 1 a)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (* 4 (* (pow b 2) (- 1 (* 3 a)))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (* (pow b 2) (+ (* 4 (- 1 (* 3 a))) (pow b 2))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (* (pow b 2) (+ (* 4 (- 1 (* 3 a))) (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* 4 a))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 4 a))))) (pow b 4)))
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* (pow a 3) (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))))
(* (pow a 3) (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (+ (* 4 (/ 1 a)) (/ (pow b 4) (pow a 3)))))))
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -12 (/ (pow b 2) a))) a)) 4)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow b 2)) (pow b 4)) a)) (* 12 (pow b 2))) a))) a)) 4)))
(- (* 4 (* (pow a 2) (+ 1 a))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (* 4 (* (pow b 2) (- 1 (* 3 a))))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (* (pow b 2) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (* (pow b 2) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))) (/ 1 (pow b 4))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* 4 a))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 4 a))))) (pow b 4))) 1)
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* (pow a 3) (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))))
(* (pow a 3) (- (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (+ (* 4 (/ 1 a)) (/ (pow b 4) (pow a 3)))))) (/ 1 (pow a 3))))
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -12 (/ (pow b 2) a))) a)) 4)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow b 2)) (pow b 4)) 1) a)) (* 12 (pow b 2))) a))) a)) 4)))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (- (+ 4 (pow b 2)) (* -1 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (- (+ 4 (+ (* 4 a) (pow b 2))) (* -1 (pow b 2)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2))))) (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 4 (/ 1 a)) (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))))) (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (pow b 2)) (* -1 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (pow b 2))) (* -1 (pow b 2))) a)) 4) a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (- (+ (* 4 (- 1 (* 3 a))) (pow a 2)) (* -1 (pow a 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (- (+ (* -1 (* (pow b 2) (+ 1 (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 2)))))) (+ (* 4 (- 1 (* 3 a))) (pow a 2))) (* -1 (pow a 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (- (+ (* 4 (- 1 (* 3 a))) (+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 4))) (* 2 (/ 1 (pow a 2)))))) (+ 1 (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 2)))))) (pow a 2))) (* -1 (pow a 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 2) (pow b 2)))) (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 2) (pow b 2))))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ 1 (pow b 4)) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 6) (pow b 6)))))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ 1 (pow b 4)) (+ (/ (* (pow a 2) (+ (* -1 (* (pow a 2) (- (pow a 2) (* -1 (pow a 2))))) (pow a 4))) (pow b 6)) (+ (/ (* (pow a 4) (- (pow a 2) (* -1 (pow a 2)))) (pow b 6)) (/ (pow a 4) (pow b 4)))))))))
(pow b 4)
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 2) (pow b 2)))) (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 2) (pow b 2))))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ 1 (pow b 4)) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 6) (pow b 6)))))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ 1 (pow b 4)) (+ (/ (* (pow a 2) (+ (* -1 (* (pow a 2) (- (pow a 2) (* -1 (pow a 2))))) (pow a 4))) (pow b 6)) (+ (/ (* (pow a 4) (- (pow a 2) (* -1 (pow a 2)))) (pow b 6)) (/ (pow a 4) (pow b 4)))))))))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (- (+ 4 (pow b 2)) (* -1 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (- (+ 4 (+ (* 4 a) (pow b 2))) (* -1 (pow b 2)))))) (pow b 4)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2))))) (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 4 (/ 1 a)) (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))))) (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (pow b 2)) (* -1 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (pow b 2))) (* -1 (pow b 2))) a)) 4) a))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (- (+ (* 4 (- 1 (* 3 a))) (pow a 2)) (* -1 (pow a 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (- (+ (* -1 (* (pow b 2) (+ 1 (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 2)))))) (+ (* 4 (- 1 (* 3 a))) (pow a 2))) (* -1 (pow a 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (- (+ (* 4 (- 1 (* 3 a))) (+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 4))) (* 2 (/ 1 (pow a 2)))))) (+ 1 (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 2)))))) (pow a 2))) (* -1 (pow a 2)))) (pow a 4)))
(pow b 4)
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 2) (pow b 2)))) (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 2) (pow b 2))))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 6) (pow b 6)))))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ (* (pow a 2) (+ (* -1 (* (pow a 2) (- (pow a 2) (* -1 (pow a 2))))) (pow a 4))) (pow b 6)) (+ (/ (* (pow a 4) (- (pow a 2) (* -1 (pow a 2)))) (pow b 6)) (/ (pow a 4) (pow b 4))))))))
(pow b 4)
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 2) (pow b 2)))) (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 2) (pow b 2))))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 6) (pow b 6)))))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ (* (pow a 2) (+ (* -1 (* (pow a 2) (- (pow a 2) (* -1 (pow a 2))))) (pow a 4))) (pow b 6)) (+ (/ (* (pow a 4) (- (pow a 2) (* -1 (pow a 2)))) (pow b 6)) (/ (pow a 4) (pow b 4))))))))
(pow b 4)
(+ (* (pow a 2) (- (pow b 2) (* -1 (pow b 2)))) (pow b 4))
(+ (* (pow a 2) (- (+ (* -1 (* (pow a 2) (+ 1 (* -1 (/ (- (pow b 2) (* -1 (pow b 2))) (pow b 2)))))) (pow b 2)) (* -1 (pow b 2)))) (pow b 4))
(+ (* (pow a 2) (- (+ (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1 (/ (- (pow b 2) (* -1 (pow b 2))) (pow b 4))) (* 2 (/ 1 (pow b 2)))))) (+ 1 (* -1 (/ (- (pow b 2) (* -1 (pow b 2))) (pow b 2)))))) (pow b 2)) (* -1 (pow b 2)))) (pow b 4))
(pow a 4)
(* (pow a 4) (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow b 2) (- (pow b 2) (* -1 (pow b 2))))) (pow b 4)) (pow a 4))) (/ (pow b 2) (pow a 2)))) (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (* (pow b 2) (- (pow b 2) (* -1 (pow b 2)))) (pow a 4))) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* (pow b 2) (+ (* -1 (* (pow b 2) (- (pow b 2) (* -1 (pow b 2))))) (pow b 4))) (pow a 6)) (+ (/ (* (pow b 4) (- (pow b 2) (* -1 (pow b 2)))) (pow a 6)) (/ (pow b 4) (pow a 4))))))))
(pow a 4)
(* (pow a 4) (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow b 2) (- (pow b 2) (* -1 (pow b 2))))) (pow b 4)) (pow a 4))) (/ (pow b 2) (pow a 2)))) (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (* (pow b 2) (- (pow b 2) (* -1 (pow b 2)))) (pow a 4))) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* (pow b 2) (+ (* -1 (* (pow b 2) (- (pow b 2) (* -1 (pow b 2))))) (pow b 4))) (pow a 6)) (+ (/ (* (pow b 4) (- (pow b 2) (* -1 (pow b 2)))) (pow a 6)) (/ (pow b 4) (pow a 4))))))))
(pow a 4)
(+ (* (pow b 2) (- (pow a 2) (* -1 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (- (+ (* -1 (* (pow b 2) (+ 1 (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 2)))))) (pow a 2)) (* -1 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (- (+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 4))) (* 2 (/ 1 (pow a 2)))))) (+ 1 (* -1 (/ (- (pow a 2) (* -1 (pow a 2))) (pow a 2)))))) (pow a 2)) (* -1 (pow a 2)))) (pow a 4))
(pow b 4)
(* (pow b 4) (- (+ 1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow a 2) (- (pow a 2) (* -1 (pow a 2))))) (pow a 4)) (pow b 4))) (/ (pow a 2) (pow b 2)))) (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (/ (pow a 2) (pow b 2)) (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ (* (pow a 2) (+ (* -1 (* (pow a 2) (- (pow a 2) (* -1 (pow a 2))))) (pow a 4))) (pow b 6)) (+ (/ (* (pow a 4) (- (pow a 2) (* -1 (pow a 2)))) (pow b 6)) (/ (pow a 4) (pow b 4))))))))
(pow b 4)
(* (pow b 4) (- (+ 1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow a 2) (- (pow a 2) (* -1 (pow a 2))))) (pow a 4)) (pow b 4))) (/ (pow a 2) (pow b 2)))) (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (/ (pow a 2) (pow b 2)) (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (- (pow a 2) (* -1 (pow a 2)))) (pow b 4))) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ (* (pow a 2) (+ (* -1 (* (pow a 2) (- (pow a 2) (* -1 (pow a 2))))) (pow a 4))) (pow b 6)) (+ (/ (* (pow a 4) (- (pow a 2) (* -1 (pow a 2)))) (pow b 6)) (/ (pow a 4) (pow b 4))))))))
(pow b 8)
(+ (* (pow a 2) (pow b 6)) (pow b 8))
(+ (* (pow a 2) (+ (* (pow a 4) (pow b 2)) (pow b 6))) (pow b 8))
(+ (* (pow a 2) (+ (* (pow a 4) (+ (pow a 2) (pow b 2))) (pow b 6))) (pow b 8))
(pow a 8)
(* (pow a 8) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 8) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 6) (pow a 6)))))
(* (pow a 8) (+ 1 (+ (/ (pow b 2) (pow a 2)) (+ (/ (pow b 6) (pow a 6)) (/ (pow b 8) (pow a 8))))))
(pow a 8)
(* (pow a 8) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 8) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 6) (pow a 6)))))
(* (pow a 8) (+ 1 (+ (/ (pow b 2) (pow a 2)) (+ (/ (pow b 6) (pow a 6)) (/ (pow b 8) (pow a 8))))))
(pow a 8)
(+ (* (pow a 6) (pow b 2)) (pow a 8))
(+ (* (pow b 2) (+ (* (pow a 2) (pow b 4)) (pow a 6))) (pow a 8))
(+ (* (pow b 2) (+ (* (pow b 4) (+ (pow a 2) (pow b 2))) (pow a 6))) (pow a 8))
(pow b 8)
(* (pow b 8) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 8) (+ 1 (+ (/ (pow a 2) (pow b 2)) (/ (pow a 6) (pow b 6)))))
(* (pow b 8) (+ 1 (+ (/ (pow a 2) (pow b 2)) (+ (/ (pow a 6) (pow b 6)) (/ (pow a 8) (pow b 8))))))
(pow b 8)
(* (pow b 8) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 8) (+ 1 (+ (/ (pow a 2) (pow b 2)) (/ (pow a 6) (pow b 6)))))
(* (pow b 8) (+ 1 (+ (/ (pow a 2) (pow b 2)) (+ (/ (pow a 6) (pow b 6)) (/ (pow a 8) (pow b 8))))))
-1
(- (* 4 (pow b 2)) 1)
(- (* 4 (pow b 2)) 1)
(- (* 4 (pow b 2)) 1)
(* 4 (pow b 2))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* 4 (pow b 2))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(* (pow a 2) (+ 1 a))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(* -3 (* a (pow b 2)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* -3 (* a (pow b 2)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(* -1 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* -1 (pow a 2)) (pow b 2)))
(* (pow b 2) (+ (* -1 (pow a 2)) (pow b 2)))
(* (pow b 2) (+ (* -1 (pow a 2)) (pow b 2)))
(pow b 4)
(* (pow b 4) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(pow b 4)
(+ (* -1 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* -1 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* -1 (* (pow a 2) (pow b 2))) (pow b 4))
(* -1 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))
(* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))
(* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))
(* -1 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))
(* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))
(* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))

Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(+.f64 (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(+.f64 (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a))))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(+.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a))))))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(+.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a))))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 a a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a a)) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a)))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a a)) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a)))))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 a a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a a)) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a)))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a a)) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a)))))))
(- (pow a 4) 1)
(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(+.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 a a)))))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(+.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a))))))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(+.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a))))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))) (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (*.f64 b b))))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))) (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (*.f64 b b))))))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
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(pow a 4)
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(pow a 4)
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(pow b 4)
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(pow b 4)
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(pow b 4)
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(pow a 4)
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(* (pow a 4) (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ (pow b 2) (pow a 2)))))
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(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ (pow b 2) (pow a 2)))))
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(* (pow a 4) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow b 2) (- (pow b 2) (* -1 (pow b 2))))) (pow b 4)) (pow a 4))) (/ (pow b 2) (pow a 2)))) (* -1 (/ (pow b 2) (pow a 2)))))
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(* (pow a 4) (- (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (* (pow b 2) (- (pow b 2) (* -1 (pow b 2)))) (pow a 4))) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* (pow b 2) (+ (* -1 (* (pow b 2) (- (pow b 2) (* -1 (pow b 2))))) (pow b 4))) (pow a 6)) (+ (/ (* (pow b 4) (- (pow b 2) (* -1 (pow b 2)))) (pow a 6)) (/ (pow b 4) (pow a 4))))))))
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(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(+ (* (pow b 2) (- (pow a 2) (* -1 (pow a 2)))) (pow a 4))
(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b))))
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(pow b 4)
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(* (pow b 4) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))))
(* (pow b 4) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))))
(* (pow b 4) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(+ (* -1 (* (pow a 2) (pow b 2))) (pow b 4))
(.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))
(+ (* -1 (* (pow a 2) (pow b 2))) (pow b 4))
(.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))
(+ (* -1 (* (pow a 2) (pow b 2))) (pow b 4))
(.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))
(* -1 (* (pow a 2) (pow b 2)))
(.f64 b (.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))
(.f64 (.f64 a a) (-.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a a)) (*.f64 b b)))
(* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))
(.f64 (.f64 a a) (-.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a a)) (*.f64 b b)))
(* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))
(.f64 (.f64 a a) (-.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a a)) (*.f64 b b)))
(* -1 (* (pow a 2) (pow b 2)))
(.f64 b (.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))
(.f64 (.f64 a a) (-.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a a)) (*.f64 b b)))
(* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))
(.f64 (.f64 a a) (-.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a a)) (*.f64 b b)))
(* (pow a 2) (+ (* -1 (pow b 2)) (/ (pow b 4) (pow a 2))))
(.f64 (.f64 a a) (-.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a a)) (*.f64 b b)))

eval296.0ms (2.9%)

Compiler: Compiled 83253 to 2919 computations (96.5% saved)

prune136.0ms (1.3%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	1506	18	1524
Fresh	8	4	12
Picked	4	1	5
Done	0	0	0
Total	1518	23	1541

Accuracy

100.0%

Counts

1541 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.5%	(pow.f64 a #s(literal 4 binary64))
	35.2%	(/.f64 (+.f64 (.f64 b (.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))))) #s(literal -1 binary64)) (+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)))
▶	35.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) (+.f64 (.f64 b (.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))))) #s(literal -1 binary64))))
	65.8%	(-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
	17.7%	(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a))))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
	54.7%	(-.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64))
	70.3%	(-.f64 (.f64 (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))) b) #s(literal 1 binary64))
	36.7%	(-.f64 (.f64 (.f64 b b) (/.f64 (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal 64 binary64)) (+.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64))
	69.8%	(-.f64 (.f64 (.f64 b b) (*.f64 b b)) #s(literal 1 binary64))
	50.8%	(-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))
▶	68.7%	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64))
	44.5%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))) #s(literal 1 binary64))
▶	67.9%	(-.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))
	44.3%	(-.f64 (.f64 #s(literal 4 binary64) (.f64 a (*.f64 a a))) #s(literal 1 binary64))
	91.2%	(+.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a))))))
▶	98.5%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))) #s(literal -1 binary64))
	48.8%	(+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (+.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64)))
	35.6%	(.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))))
	43.8%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
	43.5%	(.f64 (.f64 a a) (*.f64 a a))
	45.3%	(.f64 b (.f64 b (*.f64 b b)))
✓	43.5%	(.f64 a (.f64 a (*.f64 a a)))
▶	26.2%	#s(literal -1 binary64)

Compiler

Compiled 1029 to 485 computations (52.9% saved)

simplify190.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))))
✓	cost-diff	0	(+.f64 (.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) (+.f64 (.f64 b (.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))))) #s(literal -1 binary64))))
✓	cost-diff	1280	(/.f64 (+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) (+.f64 (.f64 b (.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))))) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 (.f64 a a) (+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a))))
✓	cost-diff	0	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a)))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 a (.f64 a a))
✓	cost-diff	0	(.f64 a (.f64 a (*.f64 a a)))
✓	cost-diff	0	(-.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(+.f64 (.f64 a a) (.f64 b b))
✓	cost-diff	0	(.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b)))
✓	cost-diff	0	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))) #s(literal -1 binary64))

Rules

5294×	`+-lowering-+.f64`
5294×	`+-lowering-+.f32`
2024×	`sum3-define`
1866×	`-lowering-.f32`
1866×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	222
1	96	184
2	310	178
3	1259	157
4	4031	154
0	8341	154

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
(+ (* a a) (* b b))
(* a a)
a
(* b b)
b
-1
-1
(- (* a (* a (* a a))) 1)
(* a (* a (* a a)))
a
(* a (* a a))
(* a a)
1
(- (* (* a a) (+ (* a a) (+ 4 (* 4 a)))) 1)
(* (* a a) (+ (* a a) (+ 4 (* 4 a))))
(* a a)
a
(+ (* a a) (+ 4 (* 4 a)))
(+ 4 (* 4 a))
4
(* 4 a)
1
(/ 1 (/ (+ (* b (* b (+ (* b b) 4))) 1) (+ (* b (* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4))))) -1)))
1
(/ (+ (* b (* b (+ (* b b) 4))) 1) (+ (* b (* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4))))) -1))
(+ (* b (* b (+ (* b b) 4))) 1)
(* b (* b (+ (* b b) 4)))
b
(* b (+ (* b b) 4))
(+ (* b b) 4)
(* b b)
4
(+ (* b (* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4))))) -1)
(* b (* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4)))))
(* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4))))
-1

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

localize144.0ms (1.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))
✓	accuracy	99.9%	(.f64 b (.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))))
✓	accuracy	60.4%	(/.f64 (+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) (+.f64 (.f64 b (.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) a)
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a)))
✓	accuracy	99.8%	(.f64 (.f64 a a) (+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a))))
✓	accuracy	100.0%	(-.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(.f64 a (.f64 a (*.f64 a a)))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	100.0%	(+.f64 (.f64 a a) (.f64 b b))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.7%	(.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b)))

Results

89.0ms

256×

valid

Compiler

Compiled 293 to 28 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 18.0ms (54.8% of total)

ival-add: 8.0ms (24.3% of total)

ival-div: 3.0ms (9.1% of total)

ival-sub: 2.0ms (6.1% of total)

const: 1.0ms (3% of total)

backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts

19 → 264

Calls

Call 1

Inputs
#<alt (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)>
#<alt (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))>
#<alt (+ (* a a) (* b b))>
#<alt (* a a)>
#<alt (- (* a (* a (* a a))) 1)>
#<alt (* a (* a (* a a)))>
#<alt (* a (* a a))>
#<alt (+ (* a a) (+ 4 (* 4 a)))>
#<alt (- (* (* a a) (+ (* a a) (+ 4 (* 4 a)))) 1)>
#<alt (* (* a a) (+ (* a a) (+ 4 (* 4 a))))>
#<alt (/ (+ (* b (* b (+ (* b b) 4))) 1) (+ (* b (* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4))))) -1))>
#<alt (/ 1 (/ (+ (* b (* b (+ (* b b) 4))) 1) (+ (* b (* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4))))) -1)))>
#<alt (+ (* b (* b (+ (* b b) 4))) 1)>
#<alt (* b (* b (+ (* b b) 4)))>
#<alt (* b b)>
#<alt (* 4 a)>
#<alt (* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4))))>
#<alt (* b (* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4)))))>
#<alt (* b (+ (* b b) 4))>

Outputs
#<alt (- (pow b 4) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)>
#<alt (- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)>
#<alt (- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt -1>
#<alt (- (pow a 4) 1)>
#<alt (- (pow a 4) 1)>
#<alt (- (pow a 4) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt 4>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt -1>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* (pow a 2) (+ 4 (* 4 a))) 1)>
#<alt (- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))>
#<alt (* 4 (pow a 2))>
#<alt (* (pow a 2) (+ 4 (* 4 a)))>
#<alt (* (pow a 2) (+ 4 (* a (+ 4 a))))>
#<alt (* (pow a 2) (+ 4 (* a (+ 4 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt -1>
#<alt (- (* -4 (pow b 2)) 1)>
#<alt (- (* (pow b 2) (- (* -17 (pow b 2)) 4)) 1)>
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -72 (pow b 2)) 17)) 4)) 1)>
#<alt (/ 1 (pow b 4))>
#<alt (/ (- 1 (* 4 (/ 1 (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ 1 (/ 17 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ 1 (/ 17 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 72 (/ 1 (pow b 6))))) (pow b 4))>
#<alt (/ 1 (pow b 4))>
#<alt (/ (- 1 (* 4 (/ 1 (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ 1 (/ 17 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ 1 (/ 17 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 72 (/ 1 (pow b 6))))) (pow b 4))>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt 1>
#<alt (+ 1 (* 4 (pow b 2)))>
#<alt (+ 1 (* (pow b 2) (+ 4 (pow b 2))))>
#<alt (+ 1 (* (pow b 2) (+ 4 (pow b 2))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 1 (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 1 (pow b 4)))))>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 4 a)>
#<alt (* 16 (pow b 3))>
#<alt (* (pow b 3) (+ 16 (* 8 (pow b 2))))>
#<alt (* (pow b 3) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))>
#<alt (* (pow b 3) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))>
#<alt (pow b 7)>
#<alt (* (pow b 7) (+ 1 (* 8 (/ 1 (pow b 2)))))>
#<alt (* (pow b 7) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (* (pow b 7) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (pow b 7)>
#<alt (* (pow b 7) (+ 1 (* 8 (/ 1 (pow b 2)))))>
#<alt (* -1 (* (pow b 7) (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow b 2)))) (pow b 2))) 1)))>
#<alt (* -1 (* (pow b 7) (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow b 2)))) (pow b 2))) 1)))>
#<alt (* 16 (pow b 4))>
#<alt (* (pow b 4) (+ 16 (* 8 (pow b 2))))>
#<alt (* (pow b 4) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))>
#<alt (* (pow b 4) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))>
#<alt (pow b 8)>
#<alt (* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))>
#<alt (* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (pow b 8)>
#<alt (* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))>
#<alt (* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (* 4 b)>
#<alt (* b (+ 4 (pow b 2)))>
#<alt (* b (+ 4 (pow b 2)))>
#<alt (* b (+ 4 (pow b 2)))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))>

Calls

66 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(/ (+ (* b (* b (+ (* b b) 4))) 1) (+ (* b (* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4))))) -1))
0.0ms	b	@	0	(/ (+ (* b (* b (+ (* b b) 4))) 1) (+ (* b (* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4))))) -1))
0.0ms	b	@	inf	(/ 1 (/ (+ (* b (* b (+ (* b b) 4))) 1) (+ (* b (* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4))))) -1)))
0.0ms	a	@	-inf	(* 4 a)
0.0ms	b	@	0	(/ 1 (/ (+ (* b (* b (+ (* b b) 4))) 1) (+ (* b (* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4))))) -1)))

rewrite422.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3072×	`/-lowering-/.f32`
3072×	`/-lowering-/.f64`
2804×	`-lowering-.f32`
2804×	`-lowering-.f64`
2720×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	177
1	214	125
2	1895	120
0	8788	120

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 655

Calls

Call 1

Inputs
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
(+ (* a a) (* b b))
(* a a)
(- (* a (* a (* a a))) 1)
(* a (* a (* a a)))
(* a (* a a))
(+ (* a a) (+ 4 (* 4 a)))
(- (* (* a a) (+ (* a a) (+ 4 (* 4 a)))) 1)
(* (* a a) (+ (* a a) (+ 4 (* 4 a))))
(/ (+ (* b (* b (+ (* b b) 4))) 1) (+ (* b (* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4))))) -1))
(/ 1 (/ (+ (* b (* b (+ (* b b) 4))) 1) (+ (* b (* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4))))) -1)))
(+ (* b (* b (+ (* b b) 4))) 1)
(* b (* b (+ (* b b) 4)))
(* b b)
(* 4 a)
(* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4))))
(* b (* (* b (+ (* b b) 4)) (* b (* b (+ (* b b) 4)))))
(* b (+ (* b b) 4))

Outputs
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))))
(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))))
(-.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (/.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (-.f64 #s(literal -1 binary64) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))))))
(fma.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) (*.f64 b b))) #s(literal -1 binary64)))
(fma.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) (*.f64 b b))) #s(literal -1 binary64)))
(fma.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) (*.f64 b b))) #s(literal -1 binary64)))
(fma.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)) #s(literal -1 binary64))
(fma.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) a) a (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) (*.f64 b b))) #s(literal -1 binary64)))
(expm1.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 a a) (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))))) (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) #s(literal -1 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) #s(literal -1 binary64)) (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))))) (neg.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) #s(literal -1 binary64))))))
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(.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64))
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(fma.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 b b)) (.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b #s(literal 4 binary64))))
(fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (.f64 b #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(.f64 b (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(.f64 (.f64 b b) (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 b (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))
(.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))))
(.f64 (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))) b)
(.f64 (.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b b)) (+.f64 (.f64 b b) #s(literal 4 binary64)))
(.f64 (.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) b) (+.f64 (.f64 b b) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64))
(.f64 b (.f64 b (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))))))
(.f64 (.f64 b b) (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64)))))
(.f64 (.f64 b b) (pow.f64 (.f64 (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))))
(.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) b))
(.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64)))))
(.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(.f64 (.f64 b (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))))) b)
(.f64 (.f64 b (.f64 b (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (pow.f64 (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))) (*.f64 b b))
(.f64 (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))) (pow.f64 (*.f64 b #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 b (*.f64 b b))))
(.f64 (.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) b) (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(.f64 (.f64 b (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))) (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))))
(.f64 (.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b b)) (+.f64 (*.f64 b b) #s(literal 4 binary64)))
(+.f64 (.f64 b #s(literal 4 binary64)) (.f64 b (*.f64 b b)))
(+.f64 (.f64 b (.f64 b b)) (*.f64 b #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (.f64 b (.f64 b b)) (.f64 b #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 b #s(literal 4 binary64)) (.f64 b #s(literal 4 binary64))) (-.f64 (.f64 b (.f64 b b)) (.f64 b #s(literal 4 binary64)))))
(fma.f64 b (.f64 b b) (.f64 b #s(literal 4 binary64)))
(fma.f64 b #s(literal 4 binary64) (.f64 b (.f64 b b)))
(fma.f64 (.f64 b b) b (.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) b (.f64 b (.f64 b b)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b b))) (.f64 #s(literal 64 binary64) (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (.f64 (.f64 b #s(literal 4 binary64)) (.f64 b #s(literal 4 binary64))) (.f64 (.f64 b (.f64 b b)) (*.f64 b #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b #s(literal 4 binary64)) (.f64 b #s(literal 4 binary64)))) (-.f64 (.f64 b (.f64 b b)) (*.f64 b #s(literal 4 binary64))))
(/.f64 (.f64 b (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64))) (-.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64)) (.f64 b (*.f64 b #s(literal 4 binary64)))))
(/.f64 (.f64 b (+.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal -16 binary64))) (+.f64 (*.f64 b b) #s(literal -4 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64)) b) (-.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64)) (.f64 b (*.f64 b #s(literal 4 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal -16 binary64)) b) (+.f64 (*.f64 b b) #s(literal -4 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 b (.f64 b b))) (.f64 #s(literal 64 binary64) (.f64 b (.f64 b b))))) (neg.f64 (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (.f64 (.f64 b #s(literal 4 binary64)) (.f64 b #s(literal 4 binary64))) (.f64 (.f64 b (.f64 b b)) (*.f64 b #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b #s(literal 4 binary64)) (.f64 b #s(literal 4 binary64))))) (neg.f64 (-.f64 (.f64 b (.f64 b b)) (*.f64 b #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 b (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64)))) (neg.f64 (-.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64)) (.f64 b (*.f64 b #s(literal 4 binary64))))))
(/.f64 (neg.f64 (.f64 b (+.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal -16 binary64)))) (neg.f64 (+.f64 (*.f64 b b) #s(literal -4 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64)) b)) (neg.f64 (-.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64)) (.f64 b (*.f64 b #s(literal 4 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal -16 binary64)) b)) (neg.f64 (+.f64 (*.f64 b b) #s(literal -4 binary64))))
(.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))
(.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) b)

simplify280.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2774×	`-lowering-.f32`
2774×	`-lowering-.f64`
2420×	`+-lowering-+.f64`
2420×	`+-lowering-+.f32`
1860×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	2328
1	557	2020
2	1740	1940
3	5366	1848
0	8421	1848

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(- (pow b 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(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)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
-1
(- (pow a 4) 1)
(- (pow a 4) 1)
(- (pow a 4) 1)
(pow a 4)
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
-1
(- (* -4 (pow b 2)) 1)
(- (* (pow b 2) (- (* -17 (pow b 2)) 4)) 1)
(- (* (pow b 2) (- (* (pow b 2) (- (* -72 (pow b 2)) 17)) 4)) 1)
(/ 1 (pow b 4))
(/ (- 1 (* 4 (/ 1 (pow b 2)))) (pow b 4))
(/ (- (+ 1 (/ 17 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (pow b 4))
(/ (- (+ 1 (/ 17 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 72 (/ 1 (pow b 6))))) (pow b 4))
(/ 1 (pow b 4))
(/ (- 1 (* 4 (/ 1 (pow b 2)))) (pow b 4))
(/ (- (+ 1 (/ 17 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (pow b 4))
(/ (- (+ 1 (/ 17 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 72 (/ 1 (pow b 6))))) (pow b 4))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
1
(+ 1 (* 4 (pow b 2)))
(+ 1 (* (pow b 2) (+ 4 (pow b 2))))
(+ 1 (* (pow b 2) (+ 4 (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 1 (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 1 (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 1 (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 1 (pow b 4)))))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 16 (pow b 3))
(* (pow b 3) (+ 16 (* 8 (pow b 2))))
(* (pow b 3) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(* (pow b 3) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(pow b 7)
(* (pow b 7) (+ 1 (* 8 (/ 1 (pow b 2)))))
(* (pow b 7) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(* (pow b 7) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(pow b 7)
(* (pow b 7) (+ 1 (* 8 (/ 1 (pow b 2)))))
(* -1 (* (pow b 7) (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow b 2)))) (pow b 2))) 1)))
(* -1 (* (pow b 7) (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow b 2)))) (pow b 2))) 1)))
(* 16 (pow b 4))
(* (pow b 4) (+ 16 (* 8 (pow b 2))))
(* (pow b 4) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(* (pow b 4) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(pow b 8)
(* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(pow b 8)
(* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(* 4 b)
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))

Outputs
(- (pow b 4) 1)
(+.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(+.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
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(+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -4 binary64) (.f64 (.f64 b b) #s(literal -17 binary64)))))
(- (* (pow b 2) (- (* (pow b 2) (- (* -72 (pow b 2)) 17)) 4)) 1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -17 binary64) (.f64 (.f64 b b) #s(literal -72 binary64)))))))
(/ 1 (pow b 4))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (*.f64 b b))))
(/ (- 1 (* 4 (/ 1 (pow b 2)))) (pow b 4))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (.f64 b b))) (.f64 b (.f64 b (.f64 b b))))
(/ (- (+ 1 (/ 17 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (pow b 4))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (.f64 b b))) (/.f64 #s(literal 17 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (*.f64 b b))))
(/ (- (+ 1 (/ 17 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 72 (/ 1 (pow b 6))))) (pow b 4))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (.f64 b b))) (/.f64 #s(literal 17 binary64) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal -72 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b b)))) (.f64 b (.f64 b (.f64 b b))))
(/ 1 (pow b 4))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (*.f64 b b))))
(/ (- 1 (* 4 (/ 1 (pow b 2)))) (pow b 4))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (.f64 b b))) (.f64 b (.f64 b (.f64 b b))))
(/ (- (+ 1 (/ 17 (pow b 4))) (* 4 (/ 1 (pow b 2)))) (pow b 4))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (.f64 b b))) (/.f64 #s(literal 17 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (*.f64 b b))))
(/ (- (+ 1 (/ 17 (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (* 72 (/ 1 (pow b 6))))) (pow b 4))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (.f64 b b))) (/.f64 #s(literal 17 binary64) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal -72 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b b)))) (.f64 b (.f64 b (.f64 b b))))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 b b)))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b b)))))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b b)))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
1
#s(literal 1 binary64)
(+ 1 (* 4 (pow b 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 b b)))
(+ 1 (* (pow b 2) (+ 4 (pow b 2))))
(+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b b)))))
(+ 1 (* (pow b 2) (+ 4 (pow b 2))))
(+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b b)))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 1 (pow b 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 1 (pow b 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 1 (pow b 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ 1 (pow b 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* (pow b 2) (+ 4 (pow b 2)))
(.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b b))))
(* (pow b 2) (+ 4 (pow b 2)))
(.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b b))))
(* (pow b 2) (+ 4 (pow b 2)))
(.f64 b (.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b b))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* 16 (pow b 3))
(.f64 b (.f64 (*.f64 b b) #s(literal 16 binary64)))
(* (pow b 3) (+ 16 (* 8 (pow b 2))))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal 16 binary64) (.f64 (*.f64 b b) #s(literal 8 binary64)))))
(* (pow b 3) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 16 binary64) (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 8 binary64))))))
(* (pow b 3) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 16 binary64) (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 8 binary64))))))
(pow b 7)
(pow.f64 b #s(literal 7 binary64))
(* (pow b 7) (+ 1 (* 8 (/ 1 (pow b 2)))))
(.f64 (pow.f64 b #s(literal 7 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 b b))))
(* (pow b 7) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (pow.f64 b #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 b b))) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (*.f64 b b))))))
(* (pow b 7) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (pow.f64 b #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 b b))) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (*.f64 b b))))))
(pow b 7)
(pow.f64 b #s(literal 7 binary64))
(* (pow b 7) (+ 1 (* 8 (/ 1 (pow b 2)))))
(.f64 (pow.f64 b #s(literal 7 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 b b))))
(* -1 (* (pow b 7) (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow b 2)))) (pow b 2))) 1)))
(.f64 (pow.f64 b #s(literal 7 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) (.f64 b b))) (*.f64 b b))))
(* -1 (* (pow b 7) (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow b 2)))) (pow b 2))) 1)))
(.f64 (pow.f64 b #s(literal 7 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) (.f64 b b))) (*.f64 b b))))
(* 16 (pow b 4))
(.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64))
(* (pow b 4) (+ 16 (* 8 (pow b 2))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 8 binary64))))
(* (pow b 4) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 16 binary64) (.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 8 binary64))))))
(* (pow b 4) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 16 binary64) (.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 8 binary64))))))
(pow b 8)
(.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (*.f64 b b))))
(* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (*.f64 b b)))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 b b))) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 b b))) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))))
(pow b 8)
(.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (*.f64 b b))))
(* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (*.f64 b b)))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 b b))) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 b b))) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))))
(* 4 b)
(*.f64 b #s(literal 4 binary64))
(* b (+ 4 (pow b 2)))
(.f64 b (+.f64 #s(literal 4 binary64) (.f64 b b)))
(* b (+ 4 (pow b 2)))
(.f64 b (+.f64 #s(literal 4 binary64) (.f64 b b)))
(* b (+ 4 (pow b 2)))
(.f64 b (+.f64 #s(literal 4 binary64) (.f64 b b)))
(pow b 3)
(.f64 b (.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b)))))
(pow b 3)
(.f64 b (.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 b b)))))

eval286.0ms (2.8%)

Compiler: Compiled 51531 to 3043 computations (94.1% saved)

prune160.0ms (1.6%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	1212	8	1220
Fresh	7	10	17
Picked	2	3	5
Done	0	1	1
Total	1221	22	1243

Accuracy

100.0%

Counts

1243 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.5%	(pow.f64 a #s(literal 4 binary64))
▶	35.3%	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
	35.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1 binary64))))
	65.8%	(-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
	54.7%	(-.f64 (+.f64 (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))))) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64))
	70.3%	(-.f64 (.f64 (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))) b) #s(literal 1 binary64))
	36.7%	(-.f64 (.f64 (.f64 b b) (/.f64 (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal 64 binary64)) (+.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64))
▶	69.8%	(-.f64 (.f64 (.f64 b b) (*.f64 b b)) #s(literal 1 binary64))
	50.8%	(-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))
	44.5%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))) #s(literal 1 binary64))
	53.0%	(-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) #s(literal 1 binary64))
▶	68.8%	(-.f64 (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))) #s(literal 1 binary64))
✓	67.9%	(-.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))
▶	94.3%	(+.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64)))))) #s(literal -1 binary64))
✓	98.5%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))) #s(literal -1 binary64))
	80.2%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 b b)) #s(literal -1 binary64))
	48.8%	(+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (+.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64)))
	80.3%	(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(literal -1 binary64))
	43.5%	(.f64 (.f64 a a) (*.f64 a a))
▶	45.3%	(.f64 b (.f64 b (*.f64 b b)))
✓	43.5%	(.f64 a (.f64 a (*.f64 a a)))
✓	26.2%	#s(literal -1 binary64)

Compiler

Compiled 738 to 405 computations (45.1% saved)

simplify130.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 b (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
✓	cost-diff	0	(.f64 b (.f64 b (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64)))))))
✓	cost-diff	1408	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
✓	cost-diff	0	(.f64 a (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 4 binary64) a))))
✓	cost-diff	0	(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))))
✓	cost-diff	0	(-.f64 (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 (.f64 b b) (*.f64 b b))
✓	cost-diff	0	(-.f64 (.f64 (.f64 b b) (*.f64 b b)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 b (.f64 b b))
✓	cost-diff	0	(.f64 b (.f64 b (*.f64 b b)))
✓	cost-diff	0	(.f64 b (.f64 b b))
✓	cost-diff	0	(.f64 b (.f64 b (*.f64 b b)))
✓	cost-diff	0	(+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64))))))
✓	cost-diff	0	(+.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64)))))) #s(literal -1 binary64))

Rules

2068×	`sum4-define`
1852×	`+-lowering-+.f64`
1852×	`+-lowering-+.f32`
1776×	`sum5-define`
1726×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	248
1	105	234
2	329	205
3	1023	205
4	2928	205
5	7307	194
0	8098	194

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize162.0ms (1.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))))
✓	accuracy	99.9%	(.f64 b (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64)))
✓	accuracy	66.4%	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
✓	accuracy	100.0%	(-.f64 (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a (+.f64 #s(literal 4 binary64) a))
✓	accuracy	99.9%	(.f64 a (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 4 binary64) a))))
✓	accuracy	99.9%	(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 b b) (*.f64 b b)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.7%	(.f64 (.f64 b b) (*.f64 b b))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.9%	(.f64 b (.f64 b (*.f64 b b)))
✓	accuracy	99.8%	(.f64 b (.f64 b b))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(.f64 b (.f64 b (*.f64 b b)))
✓	accuracy	99.8%	(.f64 b (.f64 b b))
✓	accuracy	88.9%	(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal 2 binary64)))))

Results

110.0ms

256×

valid

Compiler

Compiled 324 to 33 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 23.0ms (55.8% of total)

ival-add: 13.0ms (31.6% of total)

ival-sub: 2.0ms (4.9% of total)

ival-div: 2.0ms (4.9% of total)

const: 1.0ms (2.4% of total)

backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts

20 → 276

Calls

Call 1

Inputs
#<alt (+ (+ (* b (* b (* b b))) (* (* a a) (+ (* a a) (* b (* b 2))))) -1)>
#<alt (+ (* b (* b (* b b))) (* (* a a) (+ (* a a) (* b (* b 2)))))>
#<alt (* b (* b (* b b)))>
#<alt (* b (* b b))>
#<alt (* b b)>
#<alt (- (* (* b b) (* b b)) 1)>
#<alt (* (* b b) (* b b))>
#<alt (- (* a (* a (+ 4 (* a (+ 4 a))))) 1)>
#<alt (* a (* a (+ 4 (* a (+ 4 a)))))>
#<alt (* a (+ 4 (* a (+ 4 a))))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (/ (+ -1 (* b (* b (* (+ (* b b) 4) (* (* b b) (+ (* b b) 4)))))) (+ 1 (* (* b b) (+ (* b b) 4))))>
#<alt (+ -1 (* b (* b (* (+ (* b b) 4) (* (* b b) (+ (* b b) 4))))))>
#<alt (* b (* b (* (+ (* b b) 4) (* (* b b) (+ (* b b) 4)))))>
#<alt (* b (* (+ (* b b) 4) (* (* b b) (+ (* b b) 4))))>
#<alt (* (* a a) (+ (* a a) (* b (* b 2))))>
#<alt (* a a)>
#<alt (* a (+ 4 a))>
#<alt (* (* b b) (+ (* b b) 4))>
#<alt (* (+ (* b b) 4) (* (* b b) (+ (* b b) 4)))>

Outputs
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))>
#<alt (- (pow b 4) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)>
#<alt (- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)>
#<alt (- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt -1>
#<alt (- (pow b 4) 1)>
#<alt (- (pow b 4) 1)>
#<alt (- (pow b 4) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- 1 (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- 1 (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- 1 (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- 1 (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- 1 (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- 1 (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt -1>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* (pow a 2) (+ 4 (* 4 a))) 1)>
#<alt (- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))>
#<alt (* 4 (pow a 2))>
#<alt (* (pow a 2) (+ 4 (* 4 a)))>
#<alt (* (pow a 2) (+ 4 (* a (+ 4 a))))>
#<alt (* (pow a 2) (+ 4 (* a (+ 4 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* 4 a)>
#<alt (* a (+ 4 (* 4 a)))>
#<alt (* a (+ 4 (* a (+ 4 a))))>
#<alt (* a (+ 4 (* a (+ 4 a))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))>
#<alt 4>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (+ 4 (* a (+ 4 a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt -1>
#<alt (- (* 16 (pow b 4)) 1)>
#<alt (- (* (pow b 4) (+ 16 (* 8 (pow b 2)))) 1)>
#<alt (- (* (pow b 4) (+ 16 (* (pow b 2) (+ 8 (pow b 2))))) 1)>
#<alt (pow b 8)>
#<alt (* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))>
#<alt (* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (* (pow b 8) (- (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))) (/ 1 (pow b 8))))>
#<alt (pow b 8)>
#<alt (* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))>
#<alt (* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (* (pow b 8) (- (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))) (/ 1 (pow b 8))))>
#<alt (* 16 (pow b 4))>
#<alt (* (pow b 4) (+ 16 (* 8 (pow b 2))))>
#<alt (* (pow b 4) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))>
#<alt (* (pow b 4) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))>
#<alt (pow b 8)>
#<alt (* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))>
#<alt (* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (pow b 8)>
#<alt (* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))>
#<alt (* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (* 16 (pow b 3))>
#<alt (* (pow b 3) (+ 16 (* 8 (pow b 2))))>
#<alt (* (pow b 3) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))>
#<alt (* (pow b 3) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))>
#<alt (pow b 7)>
#<alt (* (pow b 7) (+ 1 (* 8 (/ 1 (pow b 2)))))>
#<alt (* (pow b 7) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (* (pow b 7) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (pow b 7)>
#<alt (* (pow b 7) (+ 1 (* 8 (/ 1 (pow b 2)))))>
#<alt (* -1 (* (pow b 7) (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow b 2)))) (pow b 2))) 1)))>
#<alt (* -1 (* (pow b 7) (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow b 2)))) (pow b 2))) 1)))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* 4 a)>
#<alt (* a (+ 4 a))>
#<alt (* a (+ 4 a))>
#<alt (* a (+ 4 a))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (* (pow b 2) (+ 4 (pow b 2)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))>
#<alt (* 16 (pow b 2))>
#<alt (* (pow b 2) (+ 16 (* 8 (pow b 2))))>
#<alt (* (pow b 2) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))>
#<alt (* (pow b 2) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))>
#<alt (pow b 6)>
#<alt (* (pow b 6) (+ 1 (* 8 (/ 1 (pow b 2)))))>
#<alt (* (pow b 6) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (* (pow b 6) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (pow b 6)>
#<alt (* (pow b 6) (+ 1 (* 8 (/ 1 (pow b 2)))))>
#<alt (* (pow b 6) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>
#<alt (* (pow b 6) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))>

Calls

69 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(+ (+ (* b (* b (* b b))) (* (* a a) (+ (* a a) (* b (* b 2))))) -1)
0.0ms	b	@	0	(+ (+ (* b (* b (* b b))) (* (* a a) (+ (* a a) (* b (* b 2))))) -1)
0.0ms	a	@	inf	(* (* a a) (+ (* a a) (* b (* b 2))))
0.0ms	a	@	inf	(+ (+ (* b (* b (* b b))) (* (* a a) (+ (* a a) (* b (* b 2))))) -1)
0.0ms	b	@	inf	(* (* a a) (+ (* a a) (* b (* b 2))))

rewrite450.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3868×	`-lowering-.f32`
3868×	`-lowering-.f64`
3150×	`/-lowering-/.f32`
3150×	`/-lowering-/.f64`
2386×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	192
1	226	152
2	2131	142
0	9720	142

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 652

Calls

Call 1

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

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

simplify246.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

4398×	`-lowering-.f32`
4398×	`-lowering-.f64`
1542×	`+-lowering-+.f64`
1542×	`+-lowering-+.f32`
1304×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	2510
1	538	2181
2	1744	2129
3	5505	1953
0	8532	1953

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(- (pow a 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 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)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(- (pow b 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
-1
(- (pow b 4) 1)
(- (pow b 4) 1)
(- (pow b 4) 1)
(pow b 4)
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(* (pow b 4) (- 1 (/ 1 (pow b 4))))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* 4 a)
(* a (+ 4 (* 4 a)))
(* a (+ 4 (* a (+ 4 a))))
(* a (+ 4 (* a (+ 4 a))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
-1
(- (* 16 (pow b 4)) 1)
(- (* (pow b 4) (+ 16 (* 8 (pow b 2)))) 1)
(- (* (pow b 4) (+ 16 (* (pow b 2) (+ 8 (pow b 2))))) 1)
(pow b 8)
(* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(* (pow b 8) (- (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))) (/ 1 (pow b 8))))
(pow b 8)
(* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(* (pow b 8) (- (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))) (/ 1 (pow b 8))))
(* 16 (pow b 4))
(* (pow b 4) (+ 16 (* 8 (pow b 2))))
(* (pow b 4) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(* (pow b 4) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(pow b 8)
(* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(pow b 8)
(* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(* 16 (pow b 3))
(* (pow b 3) (+ 16 (* 8 (pow b 2))))
(* (pow b 3) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(* (pow b 3) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(pow b 7)
(* (pow b 7) (+ 1 (* 8 (/ 1 (pow b 2)))))
(* (pow b 7) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(* (pow b 7) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(pow b 7)
(* (pow b 7) (+ 1 (* 8 (/ 1 (pow b 2)))))
(* -1 (* (pow b 7) (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow b 2)))) (pow b 2))) 1)))
(* -1 (* (pow b 7) (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow b 2)))) (pow b 2))) 1)))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* 4 a)
(* a (+ 4 a))
(* a (+ 4 a))
(* a (+ 4 a))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* 16 (pow b 2))
(* (pow b 2) (+ 16 (* 8 (pow b 2))))
(* (pow b 2) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(* (pow b 2) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(pow b 6)
(* (pow b 6) (+ 1 (* 8 (/ 1 (pow b 2)))))
(* (pow b 6) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(* (pow b 6) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(pow b 6)
(* (pow b 6) (+ 1 (* 8 (/ 1 (pow b 2)))))
(* (pow b 6) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(* (pow b 6) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))

Outputs
(- (pow a 4) 1)
(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(+.f64 (.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b))))) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(+.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a)))))
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(+.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a)))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b))) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b))) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))) #s(literal -1 binary64))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b))) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (*.f64 b b)))))) #s(literal -1 binary64))
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(.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 b b))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 b b)) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))))))
(* (pow b 8) (- (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))) (/ 1 (pow b 8))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 b b)) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))))))))
(pow b 8)
(.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))))
(* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))
(.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 b b))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 b b)) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))))))
(* (pow b 8) (- (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))) (/ 1 (pow b 8))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 b b)) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))))))))
(* 16 (pow b 4))
(.f64 b (.f64 b (.f64 b (.f64 b #s(literal 16 binary64)))))
(* (pow b 4) (+ 16 (* 8 (pow b 2))))
(.f64 (.f64 b b) (.f64 b (.f64 b (+.f64 #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 8 binary64))))))
(* (pow b 4) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(.f64 b (.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 8 binary64))))))
(* (pow b 4) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(.f64 b (.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 8 binary64))))))
(pow b 8)
(.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))))
(* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))
(.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 b b))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 b b)) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 b b)) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))))))
(pow b 8)
(.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))))
(* (pow b 8) (+ 1 (* 8 (/ 1 (pow b 2)))))
(.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 b b))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 b b)) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))))))
(* (pow b 8) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 b b)) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))))))
(* 16 (pow b 3))
(.f64 b (.f64 b (*.f64 b #s(literal 16 binary64))))
(* (pow b 3) (+ 16 (* 8 (pow b 2))))
(.f64 b (.f64 b (.f64 b (+.f64 #s(literal 16 binary64) (.f64 (*.f64 b b) #s(literal 8 binary64))))))
(* (pow b 3) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 8 binary64)))))
(* (pow b 3) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 8 binary64)))))
(pow b 7)
(pow.f64 b #s(literal 7 binary64))
(* (pow b 7) (+ 1 (* 8 (/ 1 (pow b 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 b b))) (pow.f64 b #s(literal 7 binary64)))
(* (pow b 7) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 b b)) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (*.f64 b b)))))) (pow.f64 b #s(literal 7 binary64)))
(* (pow b 7) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 b b)) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (*.f64 b b)))))) (pow.f64 b #s(literal 7 binary64)))
(pow b 7)
(pow.f64 b #s(literal 7 binary64))
(* (pow b 7) (+ 1 (* 8 (/ 1 (pow b 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 b b))) (pow.f64 b #s(literal 7 binary64)))
(* -1 (* (pow b 7) (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow b 2)))) (pow b 2))) 1)))
(.f64 (pow.f64 b #s(literal 7 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) (.f64 b b))) (*.f64 b b))))
(* -1 (* (pow b 7) (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow b 2)))) (pow b 2))) 1)))
(.f64 (pow.f64 b #s(literal 7 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) (.f64 b b))) (*.f64 b b))))
(* 2 (* (pow a 2) (pow b 2)))
(.f64 a (.f64 a (.f64 #s(literal 2 binary64) (.f64 b b))))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 a a))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 a a))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 a a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 a a))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 a a))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 a a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))))
(* 2 (* (pow a 2) (pow b 2)))
(.f64 a (.f64 a (.f64 #s(literal 2 binary64) (.f64 b b))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))))
(* 2 (* (pow a 2) (pow b 2)))
(.f64 a (.f64 a (.f64 #s(literal 2 binary64) (.f64 b b))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(.f64 a (.f64 a (+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* 4 a)
(*.f64 a #s(literal 4 binary64))
(* a (+ 4 a))
(*.f64 a (+.f64 a #s(literal 4 binary64)))
(* a (+ 4 a))
(*.f64 a (+.f64 a #s(literal 4 binary64)))
(* a (+ 4 a))
(*.f64 a (+.f64 a #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 4 binary64)))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* (pow b 2) (+ 4 (pow b 2)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
(* (pow b 2) (+ 4 (pow b 2)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
(* (pow b 2) (+ 4 (pow b 2)))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
(* 16 (pow b 2))
(.f64 b (.f64 b #s(literal 16 binary64)))
(* (pow b 2) (+ 16 (* 8 (pow b 2))))
(.f64 b (.f64 b (+.f64 #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 8 binary64)))))
(* (pow b 2) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 8 binary64)))))
(* (pow b 2) (+ 16 (* (pow b 2) (+ 8 (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 8 binary64)))))
(pow b 6)
(.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))
(* (pow b 6) (+ 1 (* 8 (/ 1 (pow b 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 b b))) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))))
(* (pow b 6) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 b b)) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))
(* (pow b 6) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 b b)) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))
(pow b 6)
(.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))
(* (pow b 6) (+ 1 (* 8 (/ 1 (pow b 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 b b))) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))))
(* (pow b 6) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 b b)) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))
(* (pow b 6) (+ 1 (+ (* 8 (/ 1 (pow b 2))) (/ 16 (pow b 4)))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 b b)) (/.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))

eval152.0ms (1.5%)

Compiler: Compiled 52883 to 3066 computations (94.2% saved)

prune141.0ms (1.4%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1203	10	1213
Fresh	5	8	13
Picked	2	3	5
Done	1	3	4
Total	1211	24	1235

Accuracy

100.0%

Counts

1235 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.4%	(pow.f64 b #s(literal 4 binary64))
	43.5%	(pow.f64 a #s(literal 4 binary64))
	35.0%	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
	10.3%	(/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
	34.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 b b) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) #s(literal -1 binary64))))
	54.7%	(-.f64 (+.f64 (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))))) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64))
	70.3%	(-.f64 (.f64 (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))) b) #s(literal 1 binary64))
	36.7%	(-.f64 (.f64 (.f64 b b) (/.f64 (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal 64 binary64)) (+.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64))
	50.8%	(-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))
	44.5%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))) #s(literal 1 binary64))
	53.0%	(-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) #s(literal 1 binary64))
	41.9%	(-.f64 (.f64 a (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 a a) (.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64))))) a) (-.f64 #s(literal 4 binary64) (.f64 a (+.f64 a #s(literal 4 binary64)))))) #s(literal 1 binary64))
✓	68.8%	(-.f64 (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))) #s(literal 1 binary64))
✓	94.3%	(+.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64)))))) #s(literal -1 binary64))
✓	98.5%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))) #s(literal -1 binary64))
	55.6%	(.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a))))
	45.3%	(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
	45.3%	(.f64 (.f64 b b) (*.f64 b b))
	43.9%	(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 4 binary64)))))
	43.5%	(.f64 (.f64 a a) (*.f64 a a))
✓	45.3%	(.f64 b (.f64 b (*.f64 b b)))
	43.8%	(.f64 a (.f64 a (*.f64 a (+.f64 a #s(literal 4 binary64)))))
✓	43.5%	(.f64 a (.f64 a (*.f64 a a)))
✓	26.2%	#s(literal -1 binary64)

Compiler

Compiled 1837 to 437 computations (76.2% saved)

regimes75.0ms (0.7%)

Counts

55 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 a (.f64 a (*.f64 a a)))
(.f64 b (.f64 b (*.f64 b b)))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 (.f64 b b) (*.f64 b b))
(-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 a (.f64 a (*.f64 a (+.f64 a #s(literal 4 binary64)))))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
(-.f64 (.f64 #s(literal 4 binary64) (.f64 a (*.f64 a a))) #s(literal 1 binary64))
(-.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))
(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 b b) (*.f64 b b)) #s(literal 1 binary64))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 4 binary64)))))
(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 b (+.f64 (*.f64 b b) #s(literal 4 binary64))) b) #s(literal 1 binary64))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a))))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 b b)) #s(literal -1 binary64))
(-.f64 (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))) #s(literal -1 binary64))
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))))) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64)))
(+.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal 2 binary64)))))) #s(literal -1 binary64))
(+.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a))))))
(-.f64 (.f64 a (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 a a) (.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64))))) a) (-.f64 #s(literal 4 binary64) (.f64 a (+.f64 a #s(literal 4 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(-.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 b b) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a)))) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 #s(literal -12 binary64) (.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 (+.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64)))))
(/.f64 (+.f64 (.f64 b (.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))))) #s(literal -1 binary64)) (+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 b b) (/.f64 (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal 64 binary64)) (+.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) (+.f64 (.f64 b (.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))))) #s(literal -1 binary64))))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) (.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -12 binary64))))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (+.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64)))
(-.f64 (+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b))))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a))))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a))))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(pow.f64 a #s(literal 4 binary64))
(pow.f64 b #s(literal 4 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 #s(literal -4 binary64) (+.f64 (.f64 a (.f64 a (+.f64 a #s(literal 1 binary64)))) (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))))) (-.f64 (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 #s(literal 16 binary64) (.f64 (+.f64 (.f64 a (.f64 a (+.f64 a #s(literal 1 binary64)))) (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))))) (+.f64 (.f64 a (.f64 a (+.f64 a #s(literal 1 binary64)))) (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64)))))))))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 (.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b))) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

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

Calls

5 calls:

16.0ms	a
15.0ms	(*.f64 b b)
14.0ms	b
13.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
13.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.0%	1	`a`
99.0%	1	`b`
99.0%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
99.0%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
99.0%	1	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes24.0ms (0.2%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	b
7.0ms	a
7.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
98.5%	1	`a`
98.5%	1	`b`
98.5%	1	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes22.0ms (0.2%)

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms	b
7.0ms	a
6.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
96.8%	3	`a`
98.2%	2	`b`
98.2%	2	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes13.0ms (0.1%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.3%	2	`b`
97.3%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes18.0ms (0.2%)

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.8%	3	`a`
94.0%	2	`b`
94.0%	2	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
96.7%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
96.3%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
93.9%	2	`b`
93.9%	2	`(*.f64 b b)`
84.8%	5	`a`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
85.3%	2	`b`
85.3%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes7.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
76.1%	5	`a`
74.2%	3	`b`
74.2%	3	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
67.9%	3	`a`
48.6%	2	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

2.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
26.2%	1	`b`
26.2%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.2828190936789953	795870968719348.0

Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.2828190936789953	795870968719348.0

Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	7923857.561490559	850270546086.748
12.0ms	-253086696155.17508	-73780302847.89941

Results

29.0ms

224×

valid

Compiler

Compiled 402 to 275 computations (31.6% saved)

Precisions

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

ival-mult: 11.0ms (55.2% of total)

ival-add: 4.0ms (20.1% of total)

ival-sub: 2.0ms (10% of total)

ival-pow: 2.0ms (10% of total)

const: 1.0ms (5% of total)

backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	7923857.561490559	850270546086.748
12.0ms	-253086696155.17508	-73780302847.89941

Results

28.0ms

224×

valid

Compiler

Compiled 402 to 261 computations (35.1% saved)

Precisions

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

ival-mult: 8.0ms (40.1% of total)

ival-pow: 5.0ms (25.1% of total)

ival-add: 4.0ms (20.1% of total)

ival-sub: 2.0ms (10% of total)

const: 1.0ms (5% of total)

backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	7923857.561490559	850270546086.748
12.0ms	-253086696155.17508	-73780302847.89941

Results

27.0ms

224×

valid

Compiler

Compiled 374 to 247 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 8.0ms (46.6% of total)

ival-add: 4.0ms (23.3% of total)

ival-sub: 2.0ms (11.6% of total)

ival-pow: 2.0ms (11.6% of total)

const: 1.0ms (5.8% of total)

backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.2828190936789953	795870968719348.0

Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.2828190936789953	795870968719348.0

Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2828190936789953	795870968719348.0
0.0ms	1.3279615164854689e-213	6.762677515240937e-207

Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch55.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.00014480109367437868	7923857.561490559
26.0ms	-4.118844126202289e-31	-3.8687808621768596e-45

Results

39.0ms

320×

valid

Compiler

Compiled 318 to 223 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 13.0ms (47.6% of total)

ival-add: 7.0ms (25.6% of total)

ival-sub: 3.0ms (11% of total)

ival-pow: 3.0ms (11% of total)

const: 1.0ms (3.7% of total)

backward-pass: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
32×	`+-commutative_binary64`
14×	`sub-neg_binary64`
8×	`if-if-or-not_binary32`
2×	`mul-1-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	272
1	119	272
2	127	272
3	137	272

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))) #s(literal -1 binary64))
(if (<=.f64 (.f64 b b) #s(literal 1/2 binary64)) (-.f64 (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 4 binary64) a))))) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 1/2 binary64)) (-.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a)))))
(if (<=.f64 a #s(literal -170000000000 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 a #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 42000000 binary64)) (-.f64 (.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) b) #s(literal 1 binary64)) (.f64 a (.f64 a (*.f64 a (+.f64 a #s(literal 4 binary64)))))))
(if (<=.f64 a #s(literal -105000000000 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 a #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 42000000 binary64)) (-.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 a (.f64 a (*.f64 a (+.f64 a #s(literal 4 binary64)))))))
(if (<=.f64 a #s(literal -80000000000 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 a #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 180000000000 binary64)) (-.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 a (.f64 a (*.f64 a (+.f64 a #s(literal 4 binary64)))))))
(if (<=.f64 (.f64 b b) #s(literal 1/2 binary64)) (-.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)) (.f64 b (.f64 b (*.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 b (.f64 b (.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 1516130949512411/758065474756205534740712640850831325809026375545262017157740252942407691741394964028749223060862538061761587254458531838950966818415436714572405896016201728127175281260180617944465471499803928137335448825056869507271897877839872 binary64)) #s(literal -1 binary64) (if (<=.f64 (.f64 b b) #s(literal 1/2 binary64)) (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))))
(if (<=.f64 a #s(literal -35681192317649/89202980794122492566142873090593446023921664 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 7385903388887613/18014398509481984 binary64)) #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a)))))
#s(literal -1 binary64)

Outputs
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b))) #s(literal -1 binary64))
(if (<=.f64 (.f64 b b) #s(literal 1/2 binary64)) (-.f64 (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 4 binary64) a))))) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 1/2 binary64)) (+.f64 (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 a #s(literal 4 binary64)))))) #s(literal -1 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (*.f64 a a) #s(literal 2 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 1/2 binary64)) (-.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 1/2 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (*.f64 a a) #s(literal 2 binary64)))))
(if (<=.f64 a #s(literal -170000000000 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 a #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 42000000 binary64)) (-.f64 (.f64 (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64))) b) #s(literal 1 binary64)) (.f64 a (.f64 a (*.f64 a (+.f64 a #s(literal 4 binary64)))))))
(if (<=.f64 a #s(literal -170000000000 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 a #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 42000000 binary64)) (+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64)) (.f64 a (.f64 a (*.f64 a (+.f64 a #s(literal 4 binary64)))))))
(if (<=.f64 a #s(literal -105000000000 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 a #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 42000000 binary64)) (-.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 a (.f64 a (*.f64 a (+.f64 a #s(literal 4 binary64)))))))
(if (<=.f64 a #s(literal -105000000000 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 a #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 42000000 binary64)) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 a (.f64 a (*.f64 a (+.f64 a #s(literal 4 binary64)))))))
(if (<=.f64 a #s(literal -80000000000 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 a #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 180000000000 binary64)) (-.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 a (.f64 a (*.f64 a (+.f64 a #s(literal 4 binary64)))))))
(if (<=.f64 a #s(literal -80000000000 binary64)) (.f64 a (.f64 a (.f64 a (+.f64 a #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 180000000000 binary64)) (+.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal -1 binary64)) (.f64 a (.f64 a (*.f64 a (+.f64 a #s(literal 4 binary64)))))))
(if (<=.f64 (.f64 b b) #s(literal 1/2 binary64)) (-.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)) (.f64 b (.f64 b (*.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 1/2 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 b (.f64 b (*.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 b (.f64 b (.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 b (.f64 b (.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 1516130949512411/758065474756205534740712640850831325809026375545262017157740252942407691741394964028749223060862538061761587254458531838950966818415436714572405896016201728127175281260180617944465471499803928137335448825056869507271897877839872 binary64)) #s(literal -1 binary64) (if (<=.f64 (.f64 b b) #s(literal 1/2 binary64)) (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))))
(if (<=.f64 a #s(literal -35681192317649/89202980794122492566142873090593446023921664 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 7385903388887613/18014398509481984 binary64)) #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a)))))
#s(literal -1 binary64)

soundness2.0s (20%)

Rules

5372×	`+-lowering-+.f64`
5372×	`+-lowering-+.f32`
4398×	`-lowering-.f32`
4398×	`-lowering-.f64`
4282×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	156	2510
1	538	2181
2	1744	2129
3	5505	1953
0	8532	1953
0	39	278
1	336	202
2	3719	196
0	8529	196
0	19	26
1	61	24
2	201	23
3	847	23
4	4874	23
5	7045	22
0	8092	22
0	482	6459
1	1694	5160
2	6650	4979
0	8256	4979
0	269	3855
1	957	3266
2	3662	3090
0	8314	3090
0	173	2328
1	557	2020
2	1740	1940
3	5366	1848
0	8421	1848

Stop Event

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

Compiler

Compiled 885 to 410 computations (53.7% saved)

preprocess60.0ms (0.6%)

Remove: (abs b)
Compiler: Compiled 774 to 222 computations (71.3% saved)

analyze0.0ms (0%)

sample1.6s (16.2%)

preprocess215.0ms (2.1%)

explain248.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify186.0ms (1.8%)

localize184.0ms (1.8%)

series17.0ms (0.2%)

rewrite415.0ms (4.1%)

simplify273.0ms (2.7%)

eval110.0ms (1.1%)

prune66.0ms (0.7%)

simplify177.0ms (1.7%)

localize253.0ms (2.5%)

series28.0ms (0.3%)

rewrite313.0ms (3.1%)

simplify314.0ms (3.1%)

eval296.0ms (2.9%)

prune136.0ms (1.3%)

simplify190.0ms (1.9%)

localize144.0ms (1.4%)

series9.0ms (0.1%)

rewrite422.0ms (4.2%)

simplify280.0ms (2.8%)

eval286.0ms (2.8%)

prune160.0ms (1.6%)

simplify130.0ms (1.3%)

localize162.0ms (1.6%)

series8.0ms (0.1%)

rewrite450.0ms (4.4%)

simplify246.0ms (2.4%)

eval152.0ms (1.5%)

prune141.0ms (1.4%)

regimes75.0ms (0.7%)

regimes24.0ms (0.2%)

regimes22.0ms (0.2%)

regimes13.0ms (0.1%)

regimes18.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch40.0ms (0.4%)

bsearch41.0ms (0.4%)

bsearch39.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch55.0ms (0.5%)

simplify11.0ms (0.1%)

soundness2.0s (20%)

preprocess60.0ms (0.6%)

end0.0ms (0%)

Profiling