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)

sample1.7s (16.7%)

Results

1.4s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 969.0ms

ival-mult: 473.0ms (48.8% of total)

ival-add: 251.0ms (25.9% of total)

ival-sub: 116.0ms (12% of total)

ival-pow: 103.0ms (10.6% of total)

const: 22.0ms (2.3% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess221.0ms (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)

explain259.0ms (2.5%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
46	0	-	0	-	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
32	0	-	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))))`
23	0	-	1	(1.3680454867903998e+112 6.0163988947358485e-158)	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`
0	0	-	0	-	`(*.f64 #s(literal 3 binary64) a)`
0	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	-	0	-	`b`
0	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	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) a)`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`
0	58	(1.4334332662245076e+48 7.302390405362828e-165)	0	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`
0	0	-	0	-	`(+.f64 (.f64 a a) (.f64 b b))`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))`
0	0	-	0	-	`a`
0	0	-	0	-	`(*.f64 a a)`

Results

116.0ms	480×	0	valid
12.0ms	22×	1	valid
7.0ms	10×	2	valid

Compiler

Compiled 341 to 59 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 23.0ms (46.2% of total)

ival-add: 12.0ms (24.1% of total)

ival-sub: 5.0ms (10% of total)

ival-pow: 5.0ms (10% of total)

const: 2.0ms (4% of total)

backward-pass: 2.0ms (4% 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
▶	75.7%	(-.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))
▶	75.7%	(+.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

▶

75.7%

(-.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))

▶

75.7%

(+.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)

simplify200.0ms (1.9%)

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)

localize165.0ms (1.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
✓	accuracy	91.8%	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
✓	accuracy	88.8%	(+.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	85.7%	(+.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	99.8%	(.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b)))
✓	accuracy	91.8%	(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -12 binary64))))
✓	accuracy	88.8%	(+.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	85.7%	(+.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

93.0ms	240×	0	valid
8.0ms	11×	1	valid
8.0ms	5×	2	valid

Compiler

Compiled 298 to 32 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 19.0ms (48.7% of total)

ival-add: 12.0ms (30.7% of total)

ival-sub: 3.0ms (7.7% of total)

ival-pow: 3.0ms (7.7% of total)

backward-pass: 2.0ms (5.1% of total)

const: 1.0ms (2.6% of total)

series20.0ms (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
2.0ms	a	@	0	(* a a)
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)))

rewrite442.0ms (4.2%)

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	2796	126
0	11184	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)

simplify320.0ms (3.1%)

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	960	3266
2	3707	3090
0	8356	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 #s(literal 4 binary64) (.f64 #s(literal -12 binary64) a)) (.f64 b b))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 b b))) (.f64 a a))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+.f64 (+.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 #s(literal 4 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.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 #s(literal 2 binary64) (.f64 b b)) (.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 (.f64 b b) (.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a))) (/.f64 #s(literal 4 binary64) a)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a 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 (* -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 #s(literal 2 binary64) (.f64 b b))) 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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(.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)))
(* (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 a (.f64 (*.f64 b b) #s(literal -12 binary64)))
(* 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 a (.f64 (*.f64 b b) #s(literal -12 binary64)))
(* -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 b (.f64 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 b (.f64 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 b (.f64 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 b (.f64 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 b (.f64 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 b (.f64 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 b (.f64 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 b (.f64 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 b (.f64 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 (.f64 b (*.f64 b a)) #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 (.f64 b (*.f64 b a)) #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)))))

eval84.0ms (0.8%)

Compiler: Compiled 35803 to 1532 computations (95.7% saved)

prune67.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	663	12	675
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	665	12	677

Accuracy

100.0%

Counts

677 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.4%	(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (+.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))
▶	67.2%	(-.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64))
	65.0%	(-.f64 (.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 #s(literal 2 binary64) (.f64 b b))) a)) a))) #s(literal 1 binary64))
▶	69.9%	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64))
	66.7%	(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
▶	68.2%	(-.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))
▶	98.2%	(+.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)))
	82.3%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 #s(literal 4 binary64) (.f64 a (.f64 a a))) #s(literal -1 binary64)))
	44.7%	(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 a #s(literal -3 binary64)) #s(literal 4 binary64))) (.f64 b b)) #s(literal 1 binary64))))
	46.3%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
	44.1%	(.f64 b (.f64 b (*.f64 b b)))
▶	45.6%	(.f64 a (.f64 a (*.f64 a a)))

Compiler

Compiled 504 to 274 computations (45.6% saved)

simplify235.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	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 (*.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 (.f64 a (.f64 a (*.f64 a a))) #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

2926×	`+-lowering-+.f64`
2926×	`+-lowering-+.f32`
1998×	`fma-lowering-fma.f32`
1998×	`fma-lowering-fma.f64`
1952×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	137
1	83	128
2	261	128
3	898	125
4	2152	125
5	4988	125
6	7278	125
0	8029	125

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

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

localize124.0ms (1.2%)

Localize:

Found 19 expressions of interest:

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

Results

88.0ms

256×

valid

Compiler

Compiled 194 to 24 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 14.0ms (54.6% of total)

ival-add: 7.0ms (27.3% of total)

ival-sub: 4.0ms (15.6% of total)

const: 1.0ms (3.9% of total)

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

series9.0ms (0.1%)

Counts

16 → 228

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

Calls

57 calls:

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

rewrite442.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3002×	`fma-lowering-fma.f32`
3002×	`fma-lowering-fma.f64`
2948×	`-lowering-.f32`
2948×	`-lowering-.f64`
2164×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	98
1	188	92
2	1794	92
0	8305	92

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 503

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

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

simplify300.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3498×	`-lowering-.f32`
3498×	`-lowering-.f64`
1886×	`fma-lowering-fma.f32`
1886×	`fma-lowering-fma.f64`
1854×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	1731
1	417	1441
2	1327	1382
3	5872	1302
0	8591	1302

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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
(- (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))))
-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
(+ 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)))))
(* 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))
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)

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

eval166.0ms (1.6%)

Compiler: Compiled 43654 to 1934 computations (95.6% saved)

prune424.0ms (4.1%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	970	14	984
Fresh	5	2	7
Picked	1	4	5
Done	0	0	0
Total	976	20	996

Accuracy

100.0%

Counts

996 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.6%	(pow.f64 a #s(literal 4 binary64))
▶	47.6%	(-.f64 (/.f64 (.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))))) (.f64 a a)) (-.f64 (-.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	67.2%	(-.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64))
▶	48.8%	(-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))
	69.9%	(-.f64 (.f64 (.f64 a (+.f64 (.f64 a #s(literal 4 binary64)) (+.f64 (.f64 a a) #s(literal 4 binary64)))) a) #s(literal 1 binary64))
	33.1%	(-.f64 (.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))) (.f64 a a)))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64))))))))) #s(literal 1 binary64))
✓	69.9%	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64))
▶	69.9%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64))
▶	42.4%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))) #s(literal 1 binary64))
	48.4%	(-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) #s(literal 1 binary64))
✓	68.2%	(-.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))
	67.2%	(+.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
	44.7%	(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 a #s(literal -3 binary64)) #s(literal 4 binary64))) (.f64 b b)) #s(literal 1 binary64))))
	44.1%	(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
	46.5%	(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
	46.3%	(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
	45.6%	(.f64 (.f64 a a) (*.f64 a a))
	44.1%	(.f64 b (.f64 b (*.f64 b b)))
✓	45.6%	(.f64 a (.f64 a (*.f64 a a)))
▶	24.2%	#s(literal -1 binary64)

Compiler

Compiled 598 to 322 computations (46.2% saved)

simplify233.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (-.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 a #s(literal 4 binary64)))
✓	cost-diff	128	(.f64 (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64))))
✓	cost-diff	128	(-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))))
✓	cost-diff	1024	(/.f64 (.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))))) (.f64 a a)) (-.f64 (-.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 a #s(literal 4 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a)))
✓	cost-diff	0	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 (.f64 b b) #s(literal 4 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
✓	cost-diff	0	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64))

Rules

2864×	`-lowering-.f32`
2864×	`-lowering-.f64`
1732×	`+-lowering-+.f64`
1732×	`+-lowering-+.f32`
1720×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	171
1	114	154
2	341	154
3	1057	152
4	3988	152
0	8284	152

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(- (* (* a a) (+ 4 (* a (+ 4 a)))) 1)
(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 4 binary64))))) #s(literal -1 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)
(*.f64 a a)
a
(+ 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
#s(literal -1 binary64)
(- (* (* b b) 4) 1)
(+.f64 (.f64 b (.f64 #s(literal 4 binary64) b)) #s(literal -1 binary64))
(* (* b b) 4)
(.f64 b (.f64 #s(literal 4 binary64) b))
(* b b)
(*.f64 b b)
b
4
#s(literal 4 binary64)
1
#s(literal 1 binary64)
(- (* (* a a) (+ 4 (* 4 a))) 1)
(+.f64 (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64))))) #s(literal -1 binary64))
(* (* a a) (+ 4 (* 4 a)))
(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64)))))
(* a a)
(*.f64 a a)
a
(+ 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)
(- (/ (* (- (* a (* a (* a a))) (* (+ 4 (* a 4)) (+ 4 (* a 4)))) (* a a)) (- (- (* a a) 4) (* a 4))) 1)
(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 4 binary64))))) #s(literal -1 binary64))
(/ (* (- (* a (* a (* a a))) (* (+ 4 (* a 4)) (+ 4 (* a 4)))) (* a a)) (- (- (* a a) 4) (* a 4)))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 4 binary64)))))
(* (- (* a (* a (* a a))) (* (+ 4 (* a 4)) (+ 4 (* a 4)))) (* a a))
(.f64 a (.f64 a (.f64 (+.f64 #s(literal -4 binary64) (.f64 a (+.f64 a #s(literal -4 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 4 binary64)))))))
(- (* a (* a (* a a))) (* (+ 4 (* a 4)) (+ 4 (* a 4))))
(.f64 (+.f64 #s(literal -4 binary64) (.f64 a (+.f64 a #s(literal -4 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 4 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)
(* (+ 4 (* a 4)) (+ 4 (* a 4)))
(.f64 (+.f64 #s(literal 16 binary64) (.f64 a #s(literal 16 binary64))) (+.f64 a #s(literal 1 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))
(- (- (* a a) 4) (* a 4))
(+.f64 #s(literal -4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))
(- (* a a) 4)
(+.f64 (*.f64 a a) #s(literal -4 binary64))
1
#s(literal 1 binary64)

localize227.0ms (2.2%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 a (.f64 a (*.f64 a a)))
✓	accuracy	99.8%	(.f64 a (.f64 a a))
✓	accuracy	81.9%	(-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))))
✓	accuracy	78.6%	(/.f64 (.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))))) (.f64 a a)) (-.f64 (-.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 a #s(literal 4 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) a)
✓	accuracy	99.9%	(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a)))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(.f64 (.f64 b b) #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
✓	accuracy	100.0%	(*.f64 a (+.f64 #s(literal 4 binary64) a))
✓	accuracy	99.9%	(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))

Results

152.0ms

256×

valid

Compiler

Compiled 262 to 30 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 19.0ms (53% of total)

ival-sub: 9.0ms (25.1% of total)

ival-add: 5.0ms (14% of total)

ival-div: 2.0ms (5.6% of total)

const: 1.0ms (2.8% of total)

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

series9.0ms (0.1%)

Counts

18 → 216

Calls

Call 1

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

Outputs
#<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 (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>
#<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 (- (* 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 (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 (- (* 4 (pow a 2)) 1)>
#<alt (- (* (pow a 2) (+ 4 (* 4 a))) 1)>
#<alt (- (* (pow a 2) (+ 4 (* 4 a))) 1)>
#<alt (* 4 (pow a 3))>
#<alt (* (pow a 3) (+ 4 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (- (+ 4 (* 4 (/ 1 a))) (/ 1 (pow a 3))))>
#<alt (* (pow a 3) (- (+ 4 (* 4 (/ 1 a))) (/ 1 (pow a 3))))>
#<alt (* 4 (pow a 3))>
#<alt (* (pow a 3) (+ 4 (* 4 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4)))>
#<alt (* 4 (pow a 2))>
#<alt (* (pow a 2) (+ 4 (* 4 a)))>
#<alt (* (pow a 2) (+ 4 (* 4 a)))>
#<alt (* (pow a 2) (+ 4 (* 4 a)))>
#<alt (* 4 (pow a 3))>
#<alt (* (pow a 3) (+ 4 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 4 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 4 (* 4 (/ 1 a))))>
#<alt (* 4 (pow a 3))>
#<alt (* (pow a 3) (+ 4 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 4 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (+ 4 (* 4 (/ 1 a))))>
#<alt 4>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* 4 a))>
#<alt (* 4 a)>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* 4 a)>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* a (+ 4 (* 4 (/ 1 a))))>
#<alt (* a (+ 4 (* 4 (/ 1 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 -16>
#<alt (- (* -32 a) 16)>
#<alt (- (* a (- (* -16 a) 32)) 16)>
#<alt (- (* a (- (* a (- (pow a 2) 16)) 32)) 16)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 16 (* 32 (/ 1 a))) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (* -1 (/ (+ 32 (* 16 (/ 1 a))) (pow a 3)))) (* 16 (/ 1 (pow a 2)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 16 (* 32 (/ 1 a))) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (* -1 (/ (+ 32 (* 16 (/ 1 a))) (pow a 3)))) (* 16 (/ 1 (pow a 2)))))>
#<alt 16>
#<alt (+ 16 (* 32 a))>
#<alt (+ 16 (* a (+ 32 (* 16 a))))>
#<alt (+ 16 (* a (+ 32 (* 16 a))))>
#<alt (* 16 (pow a 2))>
#<alt (* (pow a 2) (+ 16 (* 32 (/ 1 a))))>
#<alt (* (pow a 2) (+ 16 (+ (* 32 (/ 1 a)) (/ 16 (pow a 2)))))>
#<alt (* (pow a 2) (+ 16 (+ (* 32 (/ 1 a)) (/ 16 (pow a 2)))))>
#<alt (* 16 (pow a 2))>
#<alt (* (pow a 2) (+ 16 (* 32 (/ 1 a))))>
#<alt (* (pow a 2) (+ 16 (+ (* 32 (/ 1 a)) (/ 16 (pow a 2)))))>
#<alt (* (pow a 2) (+ 16 (+ (* 32 (/ 1 a)) (/ 16 (pow a 2)))))>
#<alt -4>
#<alt (- (* -4 a) 4)>
#<alt (- (* a (- a 4)) 4)>
#<alt (- (* a (- a 4)) 4)>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))>
#<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 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 (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 (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)>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(/ (* (- (* a (* a (* a a))) (* (+ 4 (* a 4)) (+ 4 (* a 4)))) (* a a)) (- (- (* a a) 4) (* a 4)))
0.0ms	a	@	0	(/ (* (- (* a (* a (* a a))) (* (+ 4 (* a 4)) (+ 4 (* a 4)))) (* a a)) (- (- (* a a) 4) (* a 4)))
0.0ms	a	@	-inf	(/ (* (- (* a (* a (* a a))) (* (+ 4 (* a 4)) (+ 4 (* a 4)))) (* a a)) (- (- (* a a) 4) (* a 4)))
0.0ms	a	@	inf	(* (* a a) (+ 4 (* 4 a)))
0.0ms	a	@	-inf	(* (* a a) (+ 4 (* 4 a)))

rewrite330.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2828×	`fma-lowering-fma.f32`
2828×	`fma-lowering-fma.f64`
2698×	`-lowering-.f32`
2698×	`-lowering-.f64`
1956×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	127
1	235	112
2	2030	110
0	8653	110

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 527

Calls

Call 1

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

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

simplify224.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2908×	`-lowering-.f32`
2908×	`-lowering-.f64`
1836×	`/-lowering-/.f32`
1836×	`/-lowering-/.f64`
1514×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	1353
1	365	1164
2	1082	1119
3	3314	1037
0	8149	1037

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
-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)))))
(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
(+ 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)
(- (* 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)
(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
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* (pow a 3) (- (+ 4 (* 4 (/ 1 a))) (/ 1 (pow a 3))))
(* (pow a 3) (- (+ 4 (* 4 (/ 1 a))) (/ 1 (pow a 3))))
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4)))
(* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4)))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* 4 a)))
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
4
(+ 4 (* 4 a))
(+ 4 (* 4 a))
(+ 4 (* 4 a))
(* 4 a)
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
(* 4 a)
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 a))))
(* a (+ 4 (* 4 (/ 1 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)))))
-16
(- (* -32 a) 16)
(- (* a (- (* -16 a) 32)) 16)
(- (* a (- (* a (- (pow a 2) 16)) 32)) 16)
(pow a 4)
(* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 16 (* 32 (/ 1 a))) (pow a 2)))))
(* (pow a 4) (- (+ 1 (* -1 (/ (+ 32 (* 16 (/ 1 a))) (pow a 3)))) (* 16 (/ 1 (pow a 2)))))
(pow a 4)
(* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 16 (* 32 (/ 1 a))) (pow a 2)))))
(* (pow a 4) (- (+ 1 (* -1 (/ (+ 32 (* 16 (/ 1 a))) (pow a 3)))) (* 16 (/ 1 (pow a 2)))))
16
(+ 16 (* 32 a))
(+ 16 (* a (+ 32 (* 16 a))))
(+ 16 (* a (+ 32 (* 16 a))))
(* 16 (pow a 2))
(* (pow a 2) (+ 16 (* 32 (/ 1 a))))
(* (pow a 2) (+ 16 (+ (* 32 (/ 1 a)) (/ 16 (pow a 2)))))
(* (pow a 2) (+ 16 (+ (* 32 (/ 1 a)) (/ 16 (pow a 2)))))
(* 16 (pow a 2))
(* (pow a 2) (+ 16 (* 32 (/ 1 a))))
(* (pow a 2) (+ 16 (+ (* 32 (/ 1 a)) (/ 16 (pow a 2)))))
(* (pow a 2) (+ 16 (+ (* 32 (/ 1 a)) (/ 16 (pow a 2)))))
-4
(- (* -4 a) 4)
(- (* a (- a 4)) 4)
(- (* a (- a 4)) 4)
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(* 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 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(* 4 a)
(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)
(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)

Outputs
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 a a)))
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(+.f64 #s(literal -1 binary64) (.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64))))))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (+.f64 #s(literal 4 binary64) a) (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (+.f64 #s(literal 4 binary64) a) (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))))
(* 4 (pow a 2))
(.f64 #s(literal 4 binary64) (.f64 a a))
(* (pow a 2) (+ 4 (* 4 a)))
(.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64)))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (+.f64 #s(literal 4 binary64) a) (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (+.f64 #s(literal 4 binary64) a) (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) 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)
(pow a 2)
(*.f64 a a)
4
#s(literal 4 binary64)
(+ 4 (* 4 a))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))
(+ 4 (* a (+ 4 a)))
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(+ 4 (* a (+ 4 a)))
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 b b)))
(- (* 4 (pow b 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 b b)))
(- (* 4 (pow b 2)) 1)
(+.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 (/ 1 (pow b 2))))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 b b)))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 b b)))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(+.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 (/ 1 (pow b 2))))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 b b)))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 b b)))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(+.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))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.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)
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 a a)))
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(+.f64 #s(literal -1 binary64) (.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64))))))
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(+.f64 #s(literal -1 binary64) (.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64))))))
(* 4 (pow a 3))
(.f64 #s(literal 4 binary64) (.f64 a (*.f64 a a)))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64)))))
(* (pow a 3) (- (+ 4 (* 4 (/ 1 a))) (/ 1 (pow a 3))))
(+.f64 #s(literal -1 binary64) (.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64))))))
(* (pow a 3) (- (+ 4 (* 4 (/ 1 a))) (/ 1 (pow a 3))))
(+.f64 #s(literal -1 binary64) (.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64))))))
(* 4 (pow a 3))
(.f64 #s(literal 4 binary64) (.f64 a (*.f64 a a)))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64)))))
(* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4)))
(+.f64 #s(literal -1 binary64) (.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64))))))
(* -1 (* (pow a 3) (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4)))
(+.f64 #s(literal -1 binary64) (.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64))))))
(* 4 (pow a 2))
(.f64 #s(literal 4 binary64) (.f64 a a))
(* (pow a 2) (+ 4 (* 4 a)))
(.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64)))))
(* (pow a 2) (+ 4 (* 4 a)))
(.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64)))))
(* (pow a 2) (+ 4 (* 4 a)))
(.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64)))))
(* 4 (pow a 3))
(.f64 #s(literal 4 binary64) (.f64 a (*.f64 a a)))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64)))))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64)))))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64)))))
(* 4 (pow a 3))
(.f64 #s(literal 4 binary64) (.f64 a (*.f64 a a)))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64)))))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64)))))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64)))))
4
#s(literal 4 binary64)
(+ 4 (* 4 a))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))
(+ 4 (* 4 a))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))
(+ 4 (* 4 a))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))
(* a (+ 4 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))
(* a (+ 4 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))
(* a (+ 4 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))
(* a (+ 4 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))
(* 4 (pow a 2))
(.f64 #s(literal 4 binary64) (.f64 a a))
(* (pow a 2) (+ 4 (* 4 a)))
(.f64 a (.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 1 binary64)))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (+.f64 #s(literal 4 binary64) a) (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (+.f64 #s(literal 4 binary64) a) (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
-16
#s(literal -16 binary64)
(- (* -32 a) 16)
(+.f64 #s(literal -16 binary64) (*.f64 a #s(literal -32 binary64)))
(- (* a (- (* -16 a) 32)) 16)
(+.f64 #s(literal -16 binary64) (.f64 a (+.f64 #s(literal -32 binary64) (.f64 a #s(literal -16 binary64)))))
(- (* a (- (* a (- (pow a 2) 16)) 32)) 16)
(+.f64 #s(literal -16 binary64) (.f64 a (+.f64 #s(literal -32 binary64) (.f64 a (+.f64 (*.f64 a a) #s(literal -16 binary64))))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 (*.f64 a a) #s(literal -16 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 16 (* 32 (/ 1 a))) (pow a 2)))))
(-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (+.f64 #s(literal 32 binary64) (*.f64 a #s(literal 16 binary64)))))
(* (pow a 4) (- (+ 1 (* -1 (/ (+ 32 (* 16 (/ 1 a))) (pow a 3)))) (* 16 (/ 1 (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal 16 binary64) a)) a)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 (*.f64 a a) #s(literal -16 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 16 (* 32 (/ 1 a))) (pow a 2)))))
(-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (+.f64 #s(literal 32 binary64) (*.f64 a #s(literal 16 binary64)))))
(* (pow a 4) (- (+ 1 (* -1 (/ (+ 32 (* 16 (/ 1 a))) (pow a 3)))) (* 16 (/ 1 (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal 16 binary64) a)) a)))))
16
#s(literal 16 binary64)
(+ 16 (* 32 a))
(+.f64 #s(literal 16 binary64) (*.f64 a #s(literal 32 binary64)))
(+ 16 (* a (+ 32 (* 16 a))))
(+.f64 #s(literal 16 binary64) (.f64 a (+.f64 #s(literal 32 binary64) (.f64 a #s(literal 16 binary64)))))
(+ 16 (* a (+ 32 (* 16 a))))
(+.f64 #s(literal 16 binary64) (.f64 a (+.f64 #s(literal 32 binary64) (.f64 a #s(literal 16 binary64)))))
(* 16 (pow a 2))
(.f64 a (.f64 a #s(literal 16 binary64)))
(* (pow a 2) (+ 16 (* 32 (/ 1 a))))
(.f64 a (+.f64 #s(literal 32 binary64) (.f64 a #s(literal 16 binary64))))
(* (pow a 2) (+ 16 (+ (* 32 (/ 1 a)) (/ 16 (pow a 2)))))
(+.f64 #s(literal 16 binary64) (.f64 a (+.f64 #s(literal 32 binary64) (.f64 a #s(literal 16 binary64)))))
(* (pow a 2) (+ 16 (+ (* 32 (/ 1 a)) (/ 16 (pow a 2)))))
(+.f64 #s(literal 16 binary64) (.f64 a (+.f64 #s(literal 32 binary64) (.f64 a #s(literal 16 binary64)))))
(* 16 (pow a 2))
(.f64 a (.f64 a #s(literal 16 binary64)))
(* (pow a 2) (+ 16 (* 32 (/ 1 a))))
(.f64 a (+.f64 #s(literal 32 binary64) (.f64 a #s(literal 16 binary64))))
(* (pow a 2) (+ 16 (+ (* 32 (/ 1 a)) (/ 16 (pow a 2)))))
(+.f64 #s(literal 16 binary64) (.f64 a (+.f64 #s(literal 32 binary64) (.f64 a #s(literal 16 binary64)))))
(* (pow a 2) (+ 16 (+ (* 32 (/ 1 a)) (/ 16 (pow a 2)))))
(+.f64 #s(literal 16 binary64) (.f64 a (+.f64 #s(literal 32 binary64) (.f64 a #s(literal 16 binary64)))))
-4
#s(literal -4 binary64)
(- (* -4 a) 4)
(+.f64 #s(literal -4 binary64) (*.f64 a #s(literal -4 binary64)))
(- (* a (- a 4)) 4)
(+.f64 #s(literal -4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))
(- (* a (- a 4)) 4)
(+.f64 #s(literal -4 binary64) (*.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 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(+.f64 #s(literal -4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(+.f64 #s(literal -4 binary64) (*.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 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(+.f64 #s(literal -4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(+.f64 #s(literal -4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 a))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* a (+ 4 a))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* a (+ 4 a))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 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)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))

eval123.0ms (1.2%)

Compiler: Compiled 28655 to 2307 computations (91.9% saved)

prune92.0ms (0.9%)

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	808	7	815
Fresh	3	8	11
Picked	1	4	5
Done	0	4	4
Total	812	23	835

Accuracy

100.0%

Counts

835 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.6%	(pow.f64 a #s(literal 4 binary64))
▶	46.4%	(-.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a a)) (-.f64 (-.f64 (.f64 a a) #s(literal 4 binary64)) (*.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
	47.6%	(-.f64 (/.f64 (.f64 a (.f64 a (.f64 (+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) (-.f64 (.f64 a (-.f64 a #s(literal 4 binary64))) #s(literal 4 binary64))))) (-.f64 (*.f64 a (-.f64 a #s(literal 4 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))
	47.6%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a (-.f64 a #s(literal 4 binary64))) #s(literal 4 binary64)) (.f64 a (.f64 a (.f64 (+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) (-.f64 (*.f64 a (-.f64 a #s(literal 4 binary64))) #s(literal 4 binary64))))))) #s(literal 1 binary64))
✓	67.2%	(-.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64))
✓	48.8%	(-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))
▶	69.9%	(-.f64 (.f64 (.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 4 binary64))))) a) #s(literal 1 binary64))
✓	69.9%	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64))
✓	69.9%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64))
✓	42.4%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))) #s(literal 1 binary64))
	48.4%	(-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) #s(literal 1 binary64))
✓	68.2%	(-.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))
	67.2%	(+.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	46.3%	(.f64 (+.f64 #s(literal 4 binary64) a) (.f64 a (*.f64 a a)))
	44.7%	(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 a #s(literal -3 binary64)) #s(literal 4 binary64))) (.f64 b b)) #s(literal 1 binary64))))
	44.1%	(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
	46.5%	(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
▶	45.6%	(.f64 (.f64 a a) (*.f64 a a))
	44.1%	(.f64 b (.f64 b (*.f64 b b)))
✓	45.6%	(.f64 a (.f64 a (*.f64 a a)))
▶	25.9%	(.f64 #s(literal 4 binary64) (.f64 b b))
	19.7%	(.f64 #s(literal 4 binary64) (.f64 a (*.f64 a a)))
✓	24.2%	#s(literal -1 binary64)

Compiler

Compiled 572 to 333 computations (41.8% saved)

simplify162.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

1788×	`fma-lowering-fma.f32`
1788×	`fma-lowering-fma.f64`
1778×	`-lowering-.f32`
1778×	`-lowering-.f64`
1492×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	145
1	79	131
2	175	127
3	394	127
4	719	124
5	1885	124
6	7721	124
0	8085	124

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize125.0ms (1.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 a (.f64 a (.f64 a a))) (*.f64 a a))
✓	accuracy	99.9%	(.f64 a (.f64 a (*.f64 a a)))
✓	accuracy	99.8%	(.f64 a (.f64 a a))
✓	accuracy	78.6%	(/.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a a)) (-.f64 (-.f64 (.f64 a a) #s(literal 4 binary64)) (*.f64 a #s(literal 4 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 4 binary64) a)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 4 binary64) a) (.f64 a (*.f64 a a)))
✓	accuracy	99.8%	(.f64 a (.f64 a a))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.8%	(.f64 (.f64 a a) (*.f64 a a))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(.f64 #s(literal 4 binary64) (.f64 b b))
✓	accuracy	100.0%	(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 4 binary64))))
✓	accuracy	100.0%	(*.f64 a (+.f64 a #s(literal 4 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 4 binary64))))) a)
✓	accuracy	99.9%	(.f64 a (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 a #s(literal 4 binary64)))))

Results

86.0ms

256×

valid

Compiler

Compiled 187 to 25 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 18.0ms (57.5% of total)

ival-add: 6.0ms (19.2% of total)

ival-sub: 5.0ms (16% of total)

ival-div: 2.0ms (6.4% of total)

const: 1.0ms (3.2% of total)

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

series7.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

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

Outputs
#<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 (* 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 (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 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 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 (pow a 3))>
#<alt (* (pow a 3) (+ 4 a))>
#<alt (* (pow a 3) (+ 4 a))>
#<alt (* (pow a 3) (+ 4 a))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt 4>
#<alt (+ 4 a)>
#<alt (+ 4 a)>
#<alt (+ 4 a)>
#<alt a>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt a>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<alt (* a (+ 1 (* 4 (/ 1 a))))>
#<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 a) 4)>
#<alt (- (* a (- a 4)) 4)>
#<alt (- (* a (- a 4)) 4)>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))>
#<alt -1>
#<alt (- (* -1/4 (pow a 6)) 1)>
#<alt (- (* (pow a 6) (- (* 1/4 a) 1/4)) 1)>
#<alt (- (* (pow a 6) (- (* a (+ 1/4 (* -5/16 a))) 1/4)) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (+ (* 96 (/ 1 (pow a 3))) (/ 20 (pow a 2))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 20 (* 96 (/ 1 a))) a)) 4) a))))>
#<alt (* -1/4 (pow a 6))>
#<alt (* (pow a 6) (- (* 1/4 a) 1/4))>
#<alt (* (pow a 6) (- (* a (+ 1/4 (* -5/16 a))) 1/4))>
#<alt (* (pow a 6) (- (* a (+ 1/4 (* a (- (* 3/8 a) 5/16)))) 1/4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (+ (* 96 (/ 1 (pow a 3))) (/ 20 (pow a 2))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 20 (* 96 (/ 1 a))) a)) 4) a))))>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<alt (pow a 6)>
#<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 (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)>

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(* 4 (* b b))
0.0ms	a	@	0	(* (* a (* a (* a a))) (* a a))
0.0ms	a	@	inf	(- (/ (* (* a (* a (* a a))) (* a a)) (- (- (* a a) 4) (* a 4))) 1)
0.0ms	a	@	0	(- (/ (* (* a (* a (* a a))) (* a a)) (- (- (* a a) 4) (* a 4))) 1)
0.0ms	a	@	inf	(* (* a (* a (* a a))) (* a a))

rewrite575.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3746×	`-lowering-.f32`
3746×	`-lowering-.f64`
3302×	`/-lowering-/.f32`
3302×	`/-lowering-/.f64`
2298×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	117
1	164	100
2	1322	99
0	8615	99

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 436

Calls

Call 1

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

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

simplify242.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3292×	`-lowering-.f32`
3292×	`-lowering-.f64`
1666×	`+-lowering-+.f64`
1666×	`+-lowering-+.f32`
1508×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1237
1	387	1113
2	1097	992
3	3731	976
0	8663	976

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
-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)))))
(* 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)
(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 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 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 (pow a 3))
(* (pow a 3) (+ 4 a))
(* (pow a 3) (+ 4 a))
(* (pow a 3) (+ 4 a))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
4
(+ 4 a)
(+ 4 a)
(+ 4 a)
a
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
a
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
(* a (+ 1 (* 4 (/ 1 a))))
(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 a) 4)
(- (* a (- a 4)) 4)
(- (* a (- a 4)) 4)
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
-1
(- (* -1/4 (pow a 6)) 1)
(- (* (pow a 6) (- (* 1/4 a) 1/4)) 1)
(- (* (pow a 6) (- (* a (+ 1/4 (* -5/16 a))) 1/4)) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (+ (* 96 (/ 1 (pow a 3))) (/ 20 (pow a 2))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 20 (* 96 (/ 1 a))) a)) 4) a))))
(* -1/4 (pow a 6))
(* (pow a 6) (- (* 1/4 a) 1/4))
(* (pow a 6) (- (* a (+ 1/4 (* -5/16 a))) 1/4))
(* (pow a 6) (- (* a (+ 1/4 (* a (- (* 3/8 a) 5/16)))) 1/4))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (+ (* 96 (/ 1 (pow a 3))) (/ 20 (pow a 2))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 20 (* 96 (/ 1 a))) a)) 4) a))))
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(* 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))))
(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)

Outputs
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 a a)))
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a)))))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))))
(* 4 (pow a 2))
(.f64 #s(literal 4 binary64) (.f64 a a))
(* (pow a 2) (+ 4 (* 4 a)))
(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 (* 4 a)))
(.f64 a (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) a)))
(* a (+ 4 (* a (+ 4 a))))
(.f64 a (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 4 binary64) a))))
(* a (+ 4 (* a (+ 4 a))))
(.f64 a (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 4 binary64) a))))
(pow a 3)
(.f64 a (.f64 a a))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 a (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 4 binary64) a))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 a (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 4 binary64) a))))
(pow a 3)
(.f64 a (.f64 a a))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(.f64 a (.f64 a (+.f64 #s(literal 4 binary64) a)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(.f64 a (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 4 binary64) a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(.f64 a (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 4 binary64) a))))
4
#s(literal 4 binary64)
(+ 4 (* 4 a))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))
(+ 4 (* a (+ 4 a)))
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(+ 4 (* a (+ 4 a)))
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.f64 #s(literal 4 binary64) (.f64 b b))
(* 4 (pow b 2))
(.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)
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.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)
(pow a 2)
(*.f64 a a)
(* 4 (pow a 3))
(.f64 a (.f64 #s(literal 4 binary64) (*.f64 a a)))
(* (pow a 3) (+ 4 a))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 3) (+ 4 a))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 3) (+ 4 a))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
4
#s(literal 4 binary64)
(+ 4 a)
(+.f64 #s(literal 4 binary64) a)
(+ 4 a)
(+.f64 #s(literal 4 binary64) a)
(+ 4 a)
(+.f64 #s(literal 4 binary64) a)
a
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
a
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
-4
#s(literal -4 binary64)
(- (* -4 a) 4)
(+.f64 #s(literal -4 binary64) (*.f64 a #s(literal -4 binary64)))
(- (* a (- a 4)) 4)
(+.f64 #s(literal -4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))
(- (* a (- a 4)) 4)
(+.f64 #s(literal -4 binary64) (*.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 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(*.f64 a (+.f64 a (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(*.f64 a (+.f64 a (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))))
(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 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(*.f64 a (+.f64 a (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(*.f64 a (+.f64 a (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))))
-1
#s(literal -1 binary64)
(- (* -1/4 (pow a 6)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 6 binary64))))
(- (* (pow a 6) (- (* 1/4 a) 1/4)) 1)
(+.f64 #s(literal -1 binary64) (.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 #s(literal -1/4 binary64) (.f64 a #s(literal 1/4 binary64)))))
(- (* (pow a 6) (- (* a (+ 1/4 (* -5/16 a))) 1/4)) 1)
(+.f64 #s(literal -1 binary64) (.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 #s(literal -1/4 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal -5/16 binary64)))))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (/.f64 (.f64 a #s(literal 20 binary64)) (*.f64 a a)) (+.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (+ (* 96 (/ 1 (pow a 3))) (/ 20 (pow a 2))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 96 binary64) (.f64 a a)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 20 binary64) (*.f64 a a)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (/.f64 (.f64 a #s(literal 20 binary64)) (*.f64 a a)) (+.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 20 (* 96 (/ 1 a))) a)) 4) a))))
(.f64 (.f64 a (*.f64 a a)) (+.f64 a (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -20 binary64) (/.f64 #s(literal -96 binary64) a)) a))))
(* -1/4 (pow a 6))
(*.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 6 binary64)))
(* (pow a 6) (- (* 1/4 a) 1/4))
(.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 #s(literal -1/4 binary64) (.f64 a #s(literal 1/4 binary64))))
(* (pow a 6) (- (* a (+ 1/4 (* -5/16 a))) 1/4))
(.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 #s(literal -1/4 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal -5/16 binary64))))))
(* (pow a 6) (- (* a (+ 1/4 (* a (- (* 3/8 a) 5/16)))) 1/4))
(.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 #s(literal -1/4 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (+.f64 #s(literal -5/16 binary64) (.f64 a #s(literal 3/8 binary64))))))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (/.f64 (.f64 a #s(literal 20 binary64)) (*.f64 a a)) (+.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (+ (* 96 (/ 1 (pow a 3))) (/ 20 (pow a 2))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 96 binary64) (.f64 a a)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 20 binary64) (*.f64 a a)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a a) (*.f64 a (+.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (/.f64 (.f64 a #s(literal 20 binary64)) (*.f64 a a)) (+.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 20 (* 96 (/ 1 a))) a)) 4) a))))
(.f64 (.f64 a (*.f64 a a)) (+.f64 a (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -20 binary64) (/.f64 #s(literal -96 binary64) a)) a))))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 a))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* a (+ 4 a))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* a (+ 4 a))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))

eval118.0ms (1.1%)

Compiler: Compiled 22229 to 1780 computations (92% saved)

prune104.0ms (1%)

Pruning

23 alts after pruning (12 fresh and 11 done)

	Pruned	Kept	Total
New	750	6	756
Fresh	4	6	10
Picked	1	4	5
Done	1	7	8
Total	756	23	779

Accuracy

100.0%

Counts

779 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.4%	(-.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) a) (-.f64 (-.f64 (.f64 a a) #s(literal 4 binary64)) (*.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
	33.5%	(-.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a a)) (.f64 a a)) #s(literal 1 binary64))
	46.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a a) (+.f64 #s(literal -4 binary64) (.f64 a #s(literal -4 binary64)))) (.f64 a (.f64 a (.f64 a (.f64 a (*.f64 a a))))))) #s(literal 1 binary64))
	31.9%	(-.f64 (.f64 (/.f64 (.f64 a (.f64 a (.f64 a (.f64 a a)))) (-.f64 (.f64 (+.f64 (.f64 a a) #s(literal -4 binary64)) (+.f64 (.f64 a a) #s(literal -4 binary64))) (.f64 (.f64 a a) #s(literal 16 binary64)))) (/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (+.f64 #s(literal -4 binary64) (.f64 a #s(literal 4 binary64))))))) #s(literal 1 binary64))
✓	67.2%	(-.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64))
✓	48.8%	(-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))
✓	69.9%	(-.f64 (.f64 (.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal 4 binary64))))) a) #s(literal 1 binary64))
✓	69.9%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64))
✓	42.4%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))) #s(literal 1 binary64))
	48.4%	(-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) #s(literal 1 binary64))
✓	68.2%	(-.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))
	67.2%	(+.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	46.3%	(.f64 (+.f64 #s(literal 4 binary64) a) (.f64 a (*.f64 a a)))
	46.3%	(.f64 (.f64 (*.f64 a a) (+.f64 a #s(literal 4 binary64))) a)
	44.7%	(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 a #s(literal -3 binary64)) #s(literal 4 binary64))) (.f64 b b)) #s(literal 1 binary64))))
	44.1%	(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (*.f64 b b)))
	46.5%	(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) a))))
✓	45.6%	(.f64 (.f64 a a) (*.f64 a a))
	44.1%	(.f64 b (.f64 b (*.f64 b b)))
✓	45.6%	(.f64 a (.f64 a (*.f64 a a)))
	19.7%	(.f64 a (.f64 #s(literal 4 binary64) (*.f64 a a)))
✓	25.9%	(.f64 #s(literal 4 binary64) (.f64 b b))
✓	24.2%	#s(literal -1 binary64)

Compiler

Compiled 1090 to 373 computations (65.8% saved)

regimes70.0ms (0.7%)

Counts

41 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

18.0ms	a
16.0ms	(+.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))))))
12.0ms	b
11.0ms	(*.f64 b b)
10.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
98.2%	1	`a`
99.9%	2	`b`
99.9%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
99.9%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
99.9%	2	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes25.0ms (0.2%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	b
8.0ms	a
7.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
95.5%	3	`a`
95.4%	2	`b`
95.4%	2	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes29.0ms (0.3%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	(*.f64 b b)
6.0ms	b
6.0ms	a

Results

Accuracy	Segments	Branch
95.0%	3	`a`
93.7%	2	`b`
93.7%	2	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes15.0ms (0.1%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	b
5.0ms	a
4.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
83.7%	3	`a`
81.7%	3	`(*.f64 b b)`
81.7%	3	`b`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
83.7%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
83.7%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
83.1%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
81.7%	3	`b`
81.7%	3	`(*.f64 b b)`
77.6%	6	`a`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
74.7%	4	`b`
74.7%	4	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes8.0ms (0.1%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.8%	4	`a`
65.7%	4	`b`
65.7%	4	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes8.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	a
2.0ms	b
2.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
55.0%	3	`b`
55.0%	3	`(*.f64 b b)`
49.5%	3	`a`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	b
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
48.6%	2	`b`
48.6%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% 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:

1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
24.2%	1	`a`
24.2%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.675036909195055e-59	1.3740824327243664e-57

Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.811623381805985e+46	3.626639843828755e+50

Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch125.0ms (1.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.193541287919146e+23	1.9043738718614985e+25

Results

12.0ms

112×

valid

Compiler

Compiled 192 to 121 computations (37% saved)

Precisions

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

ival-mult: 4.0ms (47.3% of total)

ival-add: 2.0ms (23.7% of total)

ival-sub: 1.0ms (11.8% of total)

ival-pow: 1.0ms (11.8% of total)

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	9.602148536931812e-5	2.403659446217043
16.0ms	-5078.0152813728455	-292.2083750544133

Results

27.0ms

240×

valid

Compiler

Compiled 368 to 263 computations (28.5% saved)

Precisions

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

ival-mult: 9.0ms (49.4% of total)

ival-add: 4.0ms (21.9% of total)

ival-sub: 2.0ms (11% of total)

ival-pow: 2.0ms (11% of total)

const: 1.0ms (5.5% of total)

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

bsearch42.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	9.602148536931812e-5	2.403659446217043
16.0ms	-5078.0152813728455	-292.2083750544133

Results

29.0ms

240×

valid

Compiler

Compiled 368 to 263 computations (28.5% saved)

Precisions

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

ival-mult: 9.0ms (43.2% of total)

ival-add: 7.0ms (33.6% of total)

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

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

const: 1.0ms (4.8% of total)

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

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	9.602148536931812e-5	2.403659446217043
17.0ms	-5078.0152813728455	-292.2083750544133

Results

30.0ms

240×

valid

Compiler

Compiled 368 to 263 computations (28.5% saved)

Precisions

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

ival-mult: 11.0ms (52.9% of total)

ival-add: 5.0ms (24% of total)

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

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

const: 1.0ms (4.8% of total)

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

bsearch52.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	9.602148536931812e-5	2.403659446217043
25.0ms	-1.5403680607727247e+63	-8.189601874903674e+54

Results

35.0ms

272×

valid

Compiler

Compiled 378 to 261 computations (31% saved)

Precisions

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

ival-mult: 10.0ms (46% of total)

ival-add: 5.0ms (23% of total)

ival-sub: 3.0ms (13.8% of total)

ival-pow: 3.0ms (13.8% of total)

const: 1.0ms (4.6% of total)

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

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.811623381805985e+46	3.626639843828755e+50
0.0ms	1.4382586825858207e-46	4.17997696763149e-42

Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch0.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.811623381805985e+46	3.626639843828755e+50
0.0ms	1.4382586825858207e-46	4.17997696763149e-42
0.0ms	6.10499365797623e-309	3.5110712207909e-307

Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch78.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	9.602148536931812e-5	2.403659446217043
27.0ms	-3.7698576084026134e-52	-1.766986420104879e-62
23.0ms	-1.5403680607727247e+63	-8.189601874903674e+54

Results

49.0ms

432×

valid

Compiler

Compiled 432 to 311 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 16.0ms (47.2% of total)

ival-add: 8.0ms (23.6% of total)

ival-sub: 4.0ms (11.8% of total)

ival-pow: 4.0ms (11.8% of total)

const: 1.0ms (3% of total)

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

bsearch49.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	3.064035486756954e+235	4.8202154653476714e+238
18.0ms	1.4382586825858207e-46	4.17997696763149e-42

Results

35.0ms

256×

valid

Compiler

Compiled 276 to 207 computations (25% saved)

Precisions

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

ival-mult: 8.0ms (43.4% of total)

ival-add: 5.0ms (27.1% of total)

ival-sub: 2.0ms (10.9% of total)

ival-pow: 2.0ms (10.9% of total)

const: 1.0ms (5.4% of total)

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

bsearch50.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.03619093515365737	13.511968466643465

Results

14.0ms

128×

valid

Compiler

Compiled 116 to 95 computations (18.1% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
18×	`+-commutative_binary64`
10×	`sub-neg_binary64`
4×	`if-if-or-not_binary32`
2×	`mul-1-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	345
1	119	345
2	125	345
3	134	345

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 b b) #s(literal 2826955303645415/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 a (+.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))) (+.f64 (.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 50000000000000002192292152253809867731702382592 binary64)) (-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64)) (.f64 b (.f64 b (*.f64 b b))))
(if (<=.f64 b #s(literal 2349999999999999987417088 binary64)) (-.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)) (.f64 b (.f64 b (.f64 b b))))
(if (<=.f64 a #s(literal -1520 binary64)) (.f64 (.f64 (.f64 a a) (+.f64 a #s(literal 4 binary64))) a) (if (<=.f64 a #s(literal 4728779608739021/2251799813685248 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) a) (.f64 a (.f64 a a)))))
(if (<=.f64 a #s(literal -360 binary64)) (.f64 (.f64 (.f64 a a) (+.f64 a #s(literal 4 binary64))) a) (if (<=.f64 a #s(literal 5404319552844595/2251799813685248 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal 4 binary64) a)))))
(if (<=.f64 a #s(literal -2600 binary64)) (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal 4 binary64) a))) (if (<=.f64 a #s(literal 5404319552844595/2251799813685248 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal 4 binary64) a)))))
(if (<=.f64 a #s(literal -8499999999999999474489809215783450537784436537843253248 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 8782019273372467/4503599627370496 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 a (.f64 a (.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 5142201741628769/25711008708143844408671393477458601640355247900524685364822016 binary64)) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) #s(literal 1 binary64)) (if (<=.f64 (.f64 b b) #s(literal 50000000000000002192292152253809867731702382592 binary64)) (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))))
(if (<=.f64 (.f64 b b) #s(literal 1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 (.f64 b b) #s(literal 5142201741628769/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(literal -1 binary64) (if (<=.f64 (.f64 b b) #s(literal 50000000000000002192292152253809867731702382592 binary64)) (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))))
(if (<=.f64 a #s(literal -8499999999999999474489809215783450537784436537843253248 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal -8198170380571703/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)) (if (<=.f64 a #s(literal 7566047373982433/18014398509481984 binary64)) #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a))))))
(if (<=.f64 (.f64 b b) #s(literal 1608507319692837/392318858461667547739736838950479151006397215279002157056 binary64)) #s(literal -1 binary64) (if (<=.f64 (.f64 b b) #s(literal 14999999999999999283818813072290157169328502441187116703709762728120284053134813449488613363421561413990160869275489764543169760626858314935666704352713057887216300166998222223267920990908409219922404819204631240882910715200230431200903168 binary64)) (.f64 #s(literal 4 binary64) (.f64 a (.f64 a a))) (.f64 #s(literal 4 binary64) (*.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 2116691824864133/9007199254740992 binary64)) #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (*.f64 b b)))
#s(literal -1 binary64)

Outputs
(if (<=.f64 (.f64 b b) #s(literal 2826955303645415/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 a (+.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))) (+.f64 (.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 2826955303645415/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 a #s(literal 4 binary64))))) #s(literal -1 binary64)) (+.f64 (.f64 (+.f64 (.f64 b b) (.f64 a a)) (+.f64 (.f64 b b) (.f64 a a))) (+.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 50000000000000002192292152253809867731702382592 binary64)) (-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 4 binary64) a)))) #s(literal 1 binary64)) (.f64 b (.f64 b (*.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 50000000000000002192292152253809867731702382592 binary64)) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 a #s(literal 4 binary64))))) #s(literal -1 binary64)) (.f64 b (.f64 b (*.f64 b b))))
(if (<=.f64 b #s(literal 2349999999999999987417088 binary64)) (-.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)) (.f64 b (.f64 b (.f64 b b))))
(if (<=.f64 b #s(literal 2349999999999999987417088 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 b (.f64 b (.f64 b b))))
(if (<=.f64 a #s(literal -1520 binary64)) (.f64 (.f64 (.f64 a a) (+.f64 a #s(literal 4 binary64))) a) (if (<=.f64 a #s(literal 4728779608739021/2251799813685248 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) a) (.f64 a (.f64 a a)))))
(if (<=.f64 a #s(literal -1520 binary64)) (.f64 a (.f64 (.f64 a a) (+.f64 a #s(literal 4 binary64)))) (if (<=.f64 a #s(literal 4728779608739021/2251799813685248 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (.f64 a a)))))
(if (<=.f64 a #s(literal -360 binary64)) (.f64 (.f64 (.f64 a a) (+.f64 a #s(literal 4 binary64))) a) (if (<=.f64 a #s(literal 5404319552844595/2251799813685248 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal 4 binary64) a)))))
(if (<=.f64 a #s(literal -360 binary64)) (.f64 a (.f64 (.f64 a a) (+.f64 a #s(literal 4 binary64)))) (if (<=.f64 a #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 a a) (.f64 a (+.f64 a #s(literal 4 binary64))))))
(if (<=.f64 a #s(literal -2600 binary64)) (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal 4 binary64) a))) (if (<=.f64 a #s(literal 5404319552844595/2251799813685248 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal 4 binary64) a)))))
(if (<=.f64 a #s(literal -2600 binary64)) (.f64 (.f64 a a) (.f64 a (+.f64 a #s(literal 4 binary64)))) (if (<=.f64 a #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 a a) (.f64 a (+.f64 a #s(literal 4 binary64))))))
(if (<=.f64 a #s(literal -8499999999999999474489809215783450537784436537843253248 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 8782019273372467/4503599627370496 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 a (.f64 a (.f64 a a)))))
(if (<=.f64 a #s(literal -8499999999999999474489809215783450537784436537843253248 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 8782019273372467/4503599627370496 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 a (.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 5142201741628769/25711008708143844408671393477458601640355247900524685364822016 binary64)) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) #s(literal 1 binary64)) (if (<=.f64 (.f64 b b) #s(literal 50000000000000002192292152253809867731702382592 binary64)) (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))))
(if (<=.f64 (.f64 b b) #s(literal 5142201741628769/25711008708143844408671393477458601640355247900524685364822016 binary64)) (+.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) #s(literal -1 binary64)) (if (<=.f64 (.f64 b b) #s(literal 50000000000000002192292152253809867731702382592 binary64)) (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))))
(if (<=.f64 (.f64 b b) #s(literal 1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 (.f64 b b) #s(literal 5142201741628769/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(literal -1 binary64) (if (<=.f64 (.f64 b b) #s(literal 50000000000000002192292152253809867731702382592 binary64)) (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))))
(if (<=.f64 a #s(literal -8499999999999999474489809215783450537784436537843253248 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal -8198170380571703/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)) (if (<=.f64 a #s(literal 7566047373982433/18014398509481984 binary64)) #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a))))))
(if (<=.f64 a #s(literal -8499999999999999474489809215783450537784436537843253248 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal -8198170380571703/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)) (if (<=.f64 a #s(literal 7566047373982433/18014398509481984 binary64)) #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a))))))
(if (<=.f64 (.f64 b b) #s(literal 1608507319692837/392318858461667547739736838950479151006397215279002157056 binary64)) #s(literal -1 binary64) (if (<=.f64 (.f64 b b) #s(literal 14999999999999999283818813072290157169328502441187116703709762728120284053134813449488613363421561413990160869275489764543169760626858314935666704352713057887216300166998222223267920990908409219922404819204631240882910715200230431200903168 binary64)) (.f64 #s(literal 4 binary64) (.f64 a (.f64 a a))) (.f64 #s(literal 4 binary64) (*.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 1608507319692837/392318858461667547739736838950479151006397215279002157056 binary64)) #s(literal -1 binary64) (if (<=.f64 (.f64 b b) #s(literal 14999999999999999283818813072290157169328502441187116703709762728120284053134813449488613363421561413990160869275489764543169760626858314935666704352713057887216300166998222223267920990908409219922404819204631240882910715200230431200903168 binary64)) (.f64 #s(literal 4 binary64) (.f64 a (.f64 a a))) (.f64 (*.f64 b b) #s(literal 4 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 2116691824864133/9007199254740992 binary64)) #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (*.f64 b b)))
(if (<=.f64 (.f64 b b) #s(literal 2116691824864133/9007199254740992 binary64)) #s(literal -1 binary64) (.f64 (*.f64 b b) #s(literal 4 binary64)))
#s(literal -1 binary64)

soundness1.9s (17.8%)

Rules

5372×	`+-lowering-+.f64`
5372×	`+-lowering-+.f32`
4282×	`-lowering-.f32`
4282×	`-lowering-.f64`
3746×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	123	1731
1	417	1441
2	1327	1382
3	5872	1302
0	8591	1302
0	24	117
1	164	100
2	1322	99
0	8615	99
0	19	26
1	61	24
2	201	23
3	847	23
4	4874	23
5	7045	22
0	8092	22
0	269	3855
1	960	3266
2	3707	3090
0	8356	3090
0	113	1353
1	365	1164
2	1082	1119
3	3314	1037
0	8149	1037

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

Compiler

Compiled 1023 to 514 computations (49.8% saved)

preprocess77.0ms (0.7%)

Remove: (abs b)
Compiler: Compiled 876 to 240 computations (72.6% saved)

analyze0.0ms (0%)

sample1.7s (16.7%)

preprocess221.0ms (2.1%)

explain259.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify200.0ms (1.9%)

localize165.0ms (1.6%)

series20.0ms (0.2%)

rewrite442.0ms (4.2%)

simplify320.0ms (3.1%)

eval84.0ms (0.8%)

prune67.0ms (0.6%)

simplify235.0ms (2.3%)

localize124.0ms (1.2%)

series9.0ms (0.1%)

rewrite442.0ms (4.3%)

simplify300.0ms (2.9%)

eval166.0ms (1.6%)

prune424.0ms (4.1%)

simplify233.0ms (2.2%)

localize227.0ms (2.2%)

series9.0ms (0.1%)

rewrite330.0ms (3.2%)

simplify224.0ms (2.2%)

eval123.0ms (1.2%)

prune92.0ms (0.9%)

simplify162.0ms (1.6%)

localize125.0ms (1.2%)

series7.0ms (0.1%)

rewrite575.0ms (5.5%)

simplify242.0ms (2.3%)

eval118.0ms (1.1%)

prune104.0ms (1%)

regimes70.0ms (0.7%)

regimes25.0ms (0.2%)

regimes29.0ms (0.3%)

regimes15.0ms (0.1%)

regimes5.0ms (0%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch125.0ms (1.2%)

bsearch40.0ms (0.4%)

bsearch42.0ms (0.4%)

bsearch43.0ms (0.4%)

bsearch52.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch78.0ms (0.7%)

bsearch49.0ms (0.5%)

bsearch50.0ms (0.5%)

simplify13.0ms (0.1%)

soundness1.9s (17.8%)

preprocess77.0ms (0.7%)

end0.0ms (0%)

Profiling