Metrics for Bouland and Aaronson, Equation (24)

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 32 to 19 computations (40.6% 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)

sample1.4s (15.4%)

Results

1.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 791.0ms

ival-mult: 340.0ms (43% of total)

ival-add: 171.0ms (21.6% of total)

ival-pow: 166.0ms (21% of total)

ival-sub: 89.0ms (11.2% of total)

const: 22.0ms (2.8% of total)

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

Bogosity

preprocess249.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

2538×	`fma-lowering-fma.f32`
2538×	`fma-lowering-fma.f64`
2350×	`+-lowering-+.f64`
2350×	`+-lowering-+.f32`
1804×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	166
1	184	158
2	790	154
3	4014	154
0	18	27
1	53	26
2	200	26
3	797	25
4	4446	25
5	6171	25
0	8212	25

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) (+ 3 a))))) 1)

Outputs

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

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

Call 2

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

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

Symmetry

(abs b)

explain168.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
57	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 3 binary64) a)))))`
37	0	-	-	`(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))`
27	0	-	-	`(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))`
0	0	-	-	`b`
0	0	-	-	`(+.f64 #s(literal 3 binary64) a)`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`#s(literal 4 binary64)`
0	43	(1.1125405199770218e-105 2.246353110109355e-48)	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`
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 3 binary64) a))))`
0	0	-	-	`(+.f64 (.f64 a a) (.f64 b b))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) a)`
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 3 binary64) a))))) #s(literal 1 binary64))`
0	0	-	-	`(*.f64 b b)`
0	0	-	-	`(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`#s(literal 3 binary64)`
0	0	-	-	`a`
0	0	-	-	`(*.f64 a a)`

Results

82.0ms

512×

valid

Compiler

Compiled 309 to 56 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 20.0ms (46.4% of total)

ival-add: 10.0ms (23.2% of total)

ival-pow: 6.0ms (13.9% of total)

ival-sub: 5.0ms (11.6% of total)

const: 2.0ms (4.6% of total)

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

eval0.0ms (0%)

Compiler: Compiled 37 to 20 computations (45.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.4%	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
▶	71.4%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal -1 binary64)))

Status

Accuracy

Program

▶

71.4%

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

▶

71.4%

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

Compiler

Compiled 68 to 38 computations (44.1% saved)

simplify351.0ms (3.7%)

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	5952	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
✓	cost-diff	5952	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
✓	cost-diff	5952	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
✓	cost-diff	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 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal -1 binary64)))

Rules

4064×	`+-lowering-+.f64`
4064×	`+-lowering-+.f32`
1670×	`fma-lowering-fma.f32`
1670×	`fma-lowering-fma.f64`
1450×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	256
1	98	255
2	337	255
3	1321	244
4	4180	244
5	6849	244
0	8015	244

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize163.0ms (1.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
✓	accuracy	90.6%	(.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))
✓	accuracy	86.8%	(+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a)))
✓	accuracy	82.3%	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
✓	accuracy	99.9%	(.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b)))
✓	accuracy	99.8%	(.f64 b (.f64 b (+.f64 a #s(literal 3 binary64))))
✓	accuracy	86.8%	(+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64)))))
✓	accuracy	82.2%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal -1 binary64)))

Results

85.0ms	240×	0	valid
7.0ms	10×	1	valid
5.0ms	6×	2	valid

Compiler

Compiled 289 to 30 computations (89.6% saved)

Precisions

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

ival-mult: 22.0ms (53.4% of total)

ival-add: 10.0ms (24.3% of total)

ival-sub: 3.0ms (7.3% of total)

ival-pow: 3.0ms (7.3% of total)

const: 1.0ms (2.4% of total)

backward-pass: 1.0ms (2.4% of total)

series13.0ms (0.1%)

Counts

11 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) -1))
1.0ms	b	@	inf	(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) -1))
1.0ms	a	@	0	(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) -1))
1.0ms	a	@	0	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.0ms	a	@	inf	(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) -1))

rewrite723.0ms (7.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4072×	`-lowering-.f32`
4072×	`-lowering-.f64`
2204×	`/-lowering-/.f32`
2204×	`/-lowering-/.f64`
2002×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	144
1	232	143
2	2034	143
0	8227	143

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1045

Calls

Call 1

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

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

simplify254.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3614×	`+-lowering-+.f64`
3614×	`+-lowering-+.f32`
3142×	`-lowering-.f32`
3142×	`-lowering-.f64`
1372×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	3630
1	643	3537
2	2300	3422
0	8048	3422

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval264.0ms (2.8%)

Compiler: Compiled 163931 to 3820 computations (97.7% saved)

prune182.0ms (1.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	1451	14	1465
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1453	14	1467

Accuracy

100.0%

Counts

1467 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.5%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16 binary64) (.f64 (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64))))))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))))) (.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))))))
	32.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 #s(literal -4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))))) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64))))))) (-.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 #s(literal -4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))))) #s(literal -1 binary64)))))
	61.8%	(-.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
	67.7%	(-.f64 (.f64 (.f64 b b) (+.f64 #s(literal 12 binary64) (*.f64 b b))) #s(literal 1 binary64))
	66.2%	(-.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 b (.f64 b #s(literal 2 binary64)))) a)) a))) #s(literal 1 binary64))
▶	73.5%	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64))
▶	68.8%	(-.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (+.f64 a #s(literal 3 binary64)))))) #s(literal 1 binary64))
▶	66.5%	(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
	73.0%	(-.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))
	43.2%	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))))) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal -1 binary64)))
▶	58.5%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 b b) a) a)))) (+.f64 (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal -1 binary64)))
	48.3%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
	41.8%	(.f64 b (.f64 b (*.f64 b b)))
▶	48.2%	(.f64 a (.f64 a (*.f64 a a)))

Compiler

Compiled 1080 to 430 computations (60.2% saved)

simplify143.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 a a) (.f64 b b))
✓	cost-diff	384	(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)))
✓	cost-diff	384	(.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 b b) a) a))))
✓	cost-diff	384	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 b b) a) a)))) (+.f64 (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (+.f64 a #s(literal 3 binary64))))
✓	cost-diff	0	(.f64 b (+.f64 (.f64 b b) (*.f64 #s(literal 4 binary64) (+.f64 a #s(literal 3 binary64)))))
✓	cost-diff	0	(.f64 b (.f64 b (+.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (+.f64 a #s(literal 3 binary64))))))
✓	cost-diff	0	(-.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (+.f64 a #s(literal 3 binary64)))))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 b (.f64 b b))
✓	cost-diff	0	(.f64 b (.f64 b (*.f64 b b)))
✓	cost-diff	0	(-.f64 (.f64 b (.f64 b (*.f64 b b))) #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	128	(+.f64 (.f64 a a) (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))
✓	cost-diff	128	(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))))
✓	cost-diff	128	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64))

Rules

2176×	`+-lowering-+.f64`
2176×	`+-lowering-+.f32`
2168×	`-lowering-.f32`
2168×	`-lowering-.f64`
1304×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	316
1	134	306
2	428	302
3	1828	281
4	6205	281
0	8273	281

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize222.0ms (2.4%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	86.8%	(+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64)))))
✓	accuracy	84.9%	(/.f64 (*.f64 b b) a)
✓	accuracy	83.3%	(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)))
✓	accuracy	82.2%	(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 b b) a) a)))) (+.f64 (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) (+.f64 a #s(literal 3 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (+.f64 a #s(literal 3 binary64))))
✓	accuracy	99.9%	(.f64 b (+.f64 (.f64 b b) (*.f64 #s(literal 4 binary64) (+.f64 a #s(literal 3 binary64)))))
✓	accuracy	99.8%	(.f64 b (.f64 b (+.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (+.f64 a #s(literal 3 binary64))))))
✓	accuracy	100.0%	(-.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.9%	(.f64 b (.f64 b (*.f64 b b)))
✓	accuracy	99.9%	(.f64 b (.f64 b b))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(.f64 a (.f64 a (*.f64 a a)))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 a a) (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))
✓	accuracy	99.9%	(.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))))

Results

133.0ms	233×	0	valid
10.0ms	11×	1	valid
10.0ms	4×	5	exit
8.0ms	7×	2	valid
1.0ms	1×	3	valid

Compiler

Compiled 356 to 39 computations (89% saved)

Precisions

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

ival-mult: 35.0ms (45.2% of total)

ival-add: 28.0ms (36.1% of total)

ival-sub: 6.0ms (7.7% of total)

ival-div: 4.0ms (5.2% of total)

backward-pass: 4.0ms (5.2% of total)

const: 1.0ms (1.3% of total)

series23.0ms (0.2%)

Counts

22 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	(/ (* b b) a)
2.0ms	b	@	inf	(/ (* b b) a)
1.0ms	a	@	-inf	(- (* (* a a) (+ (* a a) (* 4 (- 1 a)))) 1)
0.0ms	b	@	inf	(+ (* (+ (* a a) (* b b)) (* (* a a) (+ 1 (/ (/ (* b b) a) a)))) (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) -1))
0.0ms	b	@	0	(+ (* (+ (* a a) (* b b)) (* (* a a) (+ 1 (/ (/ (* b b) a) a)))) (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) -1))

rewrite518.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

5436×	`-lowering-.f32`
5436×	`-lowering-.f64`
2780×	`/-lowering-/.f32`
2780×	`/-lowering-/.f64`
2376×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	209
1	279	199
2	2774	193
0	9922	193

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 461

Calls

Call 1

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

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

simplify270.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4258×	`-lowering-.f32`
4258×	`-lowering-.f64`
3176×	`+-lowering-+.f64`
3176×	`+-lowering-+.f32`
1606×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	3686
1	996	3488
2	3430	3434
0	8397	3434

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

eval159.0ms (1.7%)

Compiler: Compiled 46675 to 2225 computations (95.2% saved)

prune85.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	978	9	987
Fresh	7	2	9
Picked	4	1	5
Done	0	0	0
Total	989	12	1001

Accuracy

100.0%

Counts

1001 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(pow.f64 a #s(literal 4 binary64))
	10.5%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16 binary64) (.f64 (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64))))))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))))) (.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))))))
	66.5%	(-.f64 (.f64 (.f64 b b) (*.f64 b b)) #s(literal 1 binary64))
▶	72.9%	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) #s(literal 4 binary64))) #s(literal 1 binary64))
▶	73.5%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))
	42.6%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64))
▶	72.9%	(-.f64 (.f64 (.f64 a a) (*.f64 a a)) #s(literal 1 binary64))
	68.1%	(-.f64 (.f64 b (.f64 (.f64 a b) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (.f64 b b) #s(literal 12 binary64)) a)))) #s(literal 1 binary64))
▶	67.7%	(-.f64 (.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
	41.8%	(.f64 b (.f64 b (*.f64 b b)))
✓	48.2%	(.f64 a (.f64 a (*.f64 a a)))
▶	26.3%	#s(literal -1 binary64)

Compiler

Compiled 579 to 233 computations (59.8% saved)

simplify260.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 (*.f64 a a) #s(literal 4 binary64))
✓	cost-diff	(*.f64 a a)
✓	cost-diff	(.f64 (.f64 a a) (+.f64 (*.f64 a a) #s(literal 4 binary64)))
✓	cost-diff	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) #s(literal 4 binary64))) #s(literal 1 binary64))
✓	cost-diff	(+.f64 (*.f64 b b) #s(literal 12 binary64))
✓	cost-diff	(.f64 b (+.f64 (.f64 b b) #s(literal 12 binary64)))
✓	cost-diff	(.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 12 binary64))))
✓	cost-diff	(-.f64 (.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
✓	cost-diff	(*.f64 a a)
✓	cost-diff	(.f64 (.f64 a a) (*.f64 a a))
✓	cost-diff	(-.f64 (.f64 (.f64 a a) (*.f64 a a)) #s(literal 1 binary64))
✓	cost-diff	(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))
✓	cost-diff	(*.f64 a a)
✓	cost-diff	(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64)))))
✓	cost-diff	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))

Rules

3818×	`+-lowering-+.f64`
3818×	`+-lowering-+.f32`
2330×	`-lowering-.f32`
2330×	`-lowering-.f64`
1430×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	126
1	79	119
2	229	116
3	491	116
4	878	116
5	2743	116
6	5202	116
0	8591	116

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* (* a a) (+ 4 (* a (+ a -4)))) 1)
(* (* a a) (+ 4 (* a (+ a -4))))
(* a a)
a
(+ 4 (* a (+ a -4)))
4
(* a (+ a -4))
(+ a -4)
-4
1
-1
(- (* (* a a) (* a a)) 1)
(* (* a a) (* a a))
(* a a)
a
1
(- (* b (* b (+ (* b b) 12))) 1)
(* b (* b (+ (* b b) 12)))
b
(* b (+ (* b b) 12))
(+ (* b b) 12)
(* b b)
12
1
(- (* (* a a) (+ (* a a) 4)) 1)
(* (* a a) (+ (* a a) 4))
(* a a)
a
(+ (* a a) 4)
4
1

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

localize93.0ms (1%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (*.f64 a a) #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) #s(literal 4 binary64))) #s(literal 1 binary64))
✓	accuracy	99.8%	(.f64 (.f64 a a) (+.f64 (*.f64 a a) #s(literal 4 binary64)))
✓	accuracy	100.0%	(+.f64 (*.f64 b b) #s(literal 12 binary64))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.8%	(.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 12 binary64))))
✓	accuracy	99.8%	(.f64 b (+.f64 (.f64 b b) #s(literal 12 binary64)))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 a a) (*.f64 a a)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.8%	(.f64 (.f64 a a) (*.f64 a a))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64)))))

Results

49.0ms	232×	0	valid
12.0ms	15×	3	valid
3.0ms	6×	1	valid
2.0ms	3×	2	valid

Compiler

Compiled 140 to 24 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 16.0ms (49.6% of total)

ival-add: 6.0ms (18.6% of total)

ival-sub: 5.0ms (15.5% of total)

backward-pass: 3.0ms (9.3% of total)

const: 1.0ms (3.1% of total)

series6.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
0.0ms	a	@	inf	(- (* (* a a) (+ 4 (* a (+ a -4)))) 1)
0.0ms	b	@	inf	(* b (* b (+ (* b b) 12)))
0.0ms	a	@	inf	(* (* a a) (+ (* a a) 4))
0.0ms	b	@	-inf	(* b (+ (* b b) 12))
0.0ms	b	@	inf	(- (* b (* b (+ (* b b) 12))) 1)

rewrite302.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2852×	`/-lowering-/.f32`
2852×	`/-lowering-/.f64`
2438×	`-lowering-.f32`
2438×	`-lowering-.f64`
2348×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	96
1	173	89
2	1494	89
0	8273	89

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 415

Calls

Call 1

Inputs
(- (* (* a a) (+ 4 (* a (+ a -4)))) 1)
(* (* a a) (+ 4 (* a (+ a -4))))
(* a a)
(+ 4 (* a (+ a -4)))
(- (* (* a a) (* a a)) 1)
(* (* a a) (* a a))
(- (* b (* b (+ (* b b) 12))) 1)
(* b (* b (+ (* b b) 12)))
(* b (+ (* b b) 12))
(+ (* b b) 12)
(- (* (* a a) (+ (* a a) 4)) 1)
(* (* a a) (+ (* a a) 4))
(+ (* a a) 4)
(* b b)

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

simplify188.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2744×	`-lowering-.f32`
2744×	`-lowering-.f64`
1918×	`/-lowering-/.f32`
1918×	`/-lowering-/.f64`
1304×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	1053
1	270	994
2	802	920
3	2962	880
0	8613	880

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval85.0ms (0.9%)

Compiler: Compiled 17569 to 1458 computations (91.7% saved)

prune68.0ms (0.7%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	652	7	659
Fresh	1	5	6
Picked	1	4	5
Done	0	1	1
Total	654	17	671

Accuracy

100.0%

Counts

671 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(pow.f64 a #s(literal 4 binary64))
	10.5%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16 binary64) (.f64 (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64))))))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))))) (.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))))))
▶	72.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))))
	67.7%	(-.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (*.f64 b #s(literal 12 binary64)) b)) #s(literal 1 binary64))
✓	73.5%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))
▶	42.6%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64))
✓	72.9%	(-.f64 (.f64 (.f64 a a) (*.f64 a a)) #s(literal 1 binary64))
	68.1%	(-.f64 (.f64 b (.f64 (.f64 a b) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (.f64 b b) #s(literal 12 binary64)) a)))) #s(literal 1 binary64))
✓	67.7%	(-.f64 (.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
▶	50.9%	(-.f64 (.f64 b (.f64 b #s(literal 12 binary64))) #s(literal 1 binary64))
	41.8%	(.f64 (.f64 b b) (*.f64 b b))
	48.3%	(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64)))))
▶	48.3%	(.f64 (.f64 a a) (*.f64 a (+.f64 a #s(literal -4 binary64))))
	42.2%	(.f64 b (.f64 b (+.f64 #s(literal 12 binary64) (*.f64 b b))))
▶	41.8%	(.f64 b (.f64 b (*.f64 b b)))
✓	48.2%	(.f64 a (.f64 a (*.f64 a a)))
✓	26.3%	#s(literal -1 binary64)

Compiler

Compiled 659 to 286 computations (56.6% saved)

simplify146.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64)))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64))))
✓	cost-diff	0	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 a #s(literal -4 binary64))
✓	cost-diff	0	(*.f64 a (+.f64 a #s(literal -4 binary64)))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 (.f64 a a) (*.f64 a (+.f64 a #s(literal -4 binary64))))
✓	cost-diff	0	(*.f64 b #s(literal 12 binary64))
✓	cost-diff	0	(.f64 b (.f64 b #s(literal 12 binary64)))
✓	cost-diff	0	(-.f64 (.f64 b (.f64 b #s(literal 12 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 b (.f64 b b))
✓	cost-diff	0	(.f64 b (.f64 b (*.f64 b b)))
✓	cost-diff	0	(.f64 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 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))))

Rules

2030×	`+-lowering-+.f64`
2030×	`+-lowering-+.f32`
1704×	`fnmadd-define`
1698×	`fma-lowering-fma.f32`
1698×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	116
1	72	106
2	161	106
3	295	106
4	383	106
5	668	106
6	1544	106
7	6140	106
0	8095	106

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize115.0ms (1.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(*.f64 a #s(literal -4 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64))))
✓	accuracy	100.0%	(+.f64 a #s(literal -4 binary64))
✓	accuracy	100.0%	(*.f64 a (+.f64 a #s(literal -4 binary64)))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.8%	(.f64 (.f64 a a) (*.f64 a (+.f64 a #s(literal -4 binary64))))
✓	accuracy	100.0%	(-.f64 (.f64 b (.f64 b #s(literal 12 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 b #s(literal 12 binary64))
✓	accuracy	99.7%	(.f64 b (.f64 b #s(literal 12 binary64)))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.9%	(.f64 b (.f64 b (*.f64 b b)))
✓	accuracy	99.9%	(.f64 b (.f64 b b))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))))
✓	accuracy	99.9%	(.f64 a (.f64 a (*.f64 a a)))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64)))

Results

69.0ms

256×

valid

Compiler

Compiled 145 to 27 computations (81.4% saved)

Precisions

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

ival-mult: 22.0ms (56.3% of total)

ival-add: 10.0ms (25.6% of total)

ival-div: 4.0ms (10.2% of total)

ival-sub: 2.0ms (5.1% of total)

const: 1.0ms (2.6% of total)

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

series7.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (+ (* a (* a (* a a))) -1)))>
#<alt (/ 1 (+ (* a (* a (* a a))) -1))>
#<alt (+ (* a (* a (* a a))) -1)>
#<alt (* a (* a (* a a)))>
#<alt (* b (* b (* b b)))>
#<alt (* b (* b b))>
#<alt (* b b)>
#<alt (- (* b (* b 12)) 1)>
#<alt (* b (* b 12))>
#<alt (* b 12)>
#<alt (* (* a a) (* a (+ a -4)))>
#<alt (* a a)>
#<alt (* a (+ a -4))>
#<alt (+ a -4)>
#<alt (- (* (* a a) (+ 4 (* a -4))) 1)>
#<alt (* (* a a) (+ 4 (* a -4)))>
#<alt (+ 4 (* a -4))>
#<alt (* a (* a a))>
#<alt (* a -4)>

Outputs
#<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 (- (* -1 (pow a 4)) 1)>
#<alt (- (* (pow a 4) (- (* -1 (pow a 4)) 1)) 1)>
#<alt (- (* (pow a 4) (- (* (pow a 4) (- (* -1 (pow a 4)) 1)) 1)) 1)>
#<alt (/ 1 (pow a 4))>
#<alt (/ (+ 1 (/ 1 (pow a 4))) (pow a 4))>
#<alt (/ (+ 1 (+ (/ 1 (pow a 4)) (/ 1 (pow a 8)))) (pow a 4))>
#<alt (/ (+ 1 (+ (/ 1 (pow a 4)) (+ (/ 1 (pow a 8)) (/ 1 (pow a 12))))) (pow a 4))>
#<alt (/ 1 (pow a 4))>
#<alt (/ (+ 1 (/ 1 (pow a 4))) (pow a 4))>
#<alt (/ (+ 1 (+ (/ 1 (pow a 4)) (/ 1 (pow a 8)))) (pow a 4))>
#<alt (/ (+ 1 (+ (/ 1 (pow a 4)) (+ (/ 1 (pow a 8)) (/ 1 (pow a 12))))) (pow a 4))>
#<alt -1>
#<alt (- (pow a 4) 1)>
#<alt (- (pow a 4) 1)>
#<alt (- (pow a 4) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt -1>
#<alt (- (* 12 (pow b 2)) 1)>
#<alt (- (* 12 (pow b 2)) 1)>
#<alt (- (* 12 (pow b 2)) 1)>
#<alt (* 12 (pow b 2))>
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))>
#<alt (* 12 (pow b 2))>
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))>
#<alt (* 12 (pow b 2))>
#<alt (* 12 (pow b 2))>
#<alt (* 12 (pow b 2))>
#<alt (* 12 (pow b 2))>
#<alt (* 12 (pow b 2))>
#<alt (* 12 (pow b 2))>
#<alt (* 12 (pow b 2))>
#<alt (* 12 (pow b 2))>
#<alt (* 12 (pow b 2))>
#<alt (* 12 (pow b 2))>
#<alt (* 12 (pow b 2))>
#<alt (* 12 (pow b 2))>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* -4 (pow a 3))>
#<alt (* (pow a 3) (- a 4))>
#<alt (* (pow a 3) (- a 4))>
#<alt (* (pow a 3) (- a 4))>
#<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 (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* -4 a)>
#<alt (* a (- a 4))>
#<alt (* a (- a 4))>
#<alt (* a (- a 4))>
#<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>
#<alt (- a 4)>
#<alt (- a 4)>
#<alt (- a 4)>
#<alt a>
#<alt (* a (- 1 (* 4 (/ 1 a))))>
#<alt (* a (- 1 (* 4 (/ 1 a))))>
#<alt (* a (- 1 (* 4 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 4 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 4 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 4 (/ 1 a)) 1)))>
#<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 (/ 1 a)) 4))>
#<alt (* (pow a 3) (- (* 4 (/ 1 a)) (+ 4 (/ 1 (pow a 3)))))>
#<alt (* (pow a 3) (- (* 4 (/ 1 a)) (+ 4 (/ 1 (pow a 3)))))>
#<alt (* -4 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 4 (* 4 (/ 1 a)))))>
#<alt (* -1 (* (pow a 3) (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a)))))>
#<alt (* -1 (* (pow a 3) (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a)))))>
#<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 (/ 1 a)) 4))>
#<alt (* (pow a 3) (- (* 4 (/ 1 a)) 4))>
#<alt (* (pow a 3) (- (* 4 (/ 1 a)) 4))>
#<alt (* -4 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 4 (* 4 (/ 1 a)))))>
#<alt (* -1 (* (pow a 3) (- 4 (* 4 (/ 1 a)))))>
#<alt (* -1 (* (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 (/ 1 a)) 4))>
#<alt (* a (- (* 4 (/ 1 a)) 4))>
#<alt (* a (- (* 4 (/ 1 a)) 4))>
#<alt (* -4 a)>
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))>
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))>
#<alt (* -1 (* a (- 4 (* 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 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	b	@	inf	(* b (* b 12))
0.0ms	b	@	-inf	(* b 12)
0.0ms	a	@	inf	(* a -4)
0.0ms	a	@	inf	(* (* a a) (+ 4 (* a -4)))
0.0ms	a	@	inf	(/ 1 (+ (* a (* a (* a a))) -1))

rewrite290.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3662×	`-lowering-.f32`
3662×	`-lowering-.f64`
3014×	`/-lowering-/.f32`
3014×	`/-lowering-/.f64`
2238×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	97
1	145	87
2	1001	87
0	8425	87

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 570

Calls

Call 1

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

Outputs
(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))
(+.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))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (*.f64 a a)))))
(-.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))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))))
(-.f64 (/.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))) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(fma.f64 #s(literal 1 binary64) (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))
(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
(fma.f64 (.f64 a (.f64 a a)) a #s(literal -1 binary64))
(fma.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64) #s(literal -1 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a)))) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(/.f64 (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (*.f64 a a)))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (+.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (*.f64 a a))))))))
(/.f64 (+.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) #s(literal -1 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (*.f64 a a)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a a))))) (+.f64 (.f64 (.f64 a a) (.f64 (*.f64 a a) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))))) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a)))))
(/.f64 (-.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))) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (.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 a (.f64 a a)) (.f64 a (.f64 a a)))))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (.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 a (.f64 a a)) (.f64 a (.f64 a a))))) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))))) (+.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a a)))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (.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 a (.f64 a a)) (.f64 a (.f64 a a))))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (+.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a a)))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (.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 a (.f64 a a)) (.f64 a (.f64 a a))))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))))) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))))) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a a) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) #s(literal 1 binary64)) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))))) (+.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (*.f64 a a))))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a a)))))) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a))))))
(/.f64 (-.f64 (pow.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))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (.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))) #s(literal 1 binary64))) (/.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 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))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (+.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(/.f64 (-.f64 (.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))) #s(literal 1 binary64))) (/.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 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))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64)))))
(pow.f64 (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a a)))))
(.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a a)))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))))))
(.f64 (+.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a a))))))))
(.f64 (.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal -1 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(.f64 (pow.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (.f64 a a) #s(literal 1 binary64)) (+.f64 (*.f64 a a) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a a)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 a a) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (*.f64 a a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
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(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1 binary64))))
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(/.f64 (.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 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 a a) (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 a (-.f64 (*.f64 #s(literal 16 binary64) a) #s(literal -16 binary64)))))
(/.f64 (.f64 (.f64 a a) (+.f64 #s(literal 16 binary64) (.f64 (.f64 a a) #s(literal -16 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64))) (.f64 a a)) (+.f64 #s(literal 16 binary64) (.f64 a (-.f64 (*.f64 #s(literal 16 binary64) a) #s(literal -16 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 a a) #s(literal -16 binary64))) (.f64 a a)) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))))) (neg.f64 (+.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 16 binary64)) (.f64 (.f64 a (.f64 a (.f64 a #s(literal -4 binary64)))) (-.f64 (.f64 a (.f64 a (.f64 a #s(literal -4 binary64)))) (.f64 a (.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 a) (+.f64 #s(literal 4 binary64) (.f64 a #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 a a) (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 a (-.f64 (*.f64 #s(literal 16 binary64) a) #s(literal -16 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 a a) (+.f64 #s(literal 16 binary64) (.f64 (.f64 a a) #s(literal -16 binary64))))) (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64))) (.f64 a a))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 a (-.f64 (*.f64 #s(literal 16 binary64) a) #s(literal -16 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 a a) #s(literal -16 binary64))) (.f64 a a))) (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 a #s(literal 4 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (+.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (-.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 16 binary64)) (.f64 (.f64 a (.f64 a (.f64 a #s(literal -4 binary64)))) (.f64 a (*.f64 a #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 16 binary64))) (-.f64 (.f64 a (.f64 a (.f64 a #s(literal -4 binary64)))) (.f64 a (*.f64 a #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 a (.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64)))))
(.f64 a (+.f64 (.f64 #s(literal -4 binary64) (.f64 a a)) (.f64 a #s(literal 4 binary64))))
(.f64 a (+.f64 (.f64 a #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (.f64 a a))))
(.f64 a (+.f64 (.f64 (.f64 a a) #s(literal -4 binary64)) (.f64 a #s(literal 4 binary64))))
(.f64 a (+.f64 (.f64 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 #s(literal 4 binary64) (.f64 a #s(literal -4 binary64))) (*.f64 a a))
(.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64)))) a)
(.f64 (+.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 16 binary64)) (.f64 (.f64 a (.f64 a (.f64 a #s(literal -4 binary64)))) (-.f64 (.f64 a (.f64 a (.f64 a #s(literal -4 binary64)))) (.f64 a (*.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 a) (+.f64 #s(literal 4 binary64) (.f64 a #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 (.f64 a a) (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 a (-.f64 (.f64 #s(literal 16 binary64) a) #s(literal -16 binary64))))))
(.f64 (.f64 (.f64 a a) (+.f64 #s(literal 16 binary64) (.f64 (.f64 a a) #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64))) (.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 a (-.f64 (.f64 #s(literal 16 binary64) a) #s(literal -16 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 a a) #s(literal -16 binary64))) (.f64 a a)) (/.f64 #s(literal 1 binary64) (+.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 #s(literal -4 binary64)) #s(literal 4 binary64))
(+.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))))))
(-.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) (/.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))))
(-.f64 (/.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) (+.f64 (.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 a (-.f64 (*.f64 #s(literal 16 binary64) a) #s(literal -16 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 a a) #s(literal -16 binary64))) (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 a #s(literal 4 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 a (-.f64 (*.f64 #s(literal 16 binary64) a) #s(literal -16 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -16 binary64) (neg.f64 (.f64 (.f64 a a) #s(literal -16 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) (+.f64 #s(literal 16 binary64) (.f64 #s(literal 16 binary64) a))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)) (+.f64 (.f64 a (*.f64 #s(literal 16 binary64) a)) #s(literal -16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64))))))
(/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (.f64 a (-.f64 (*.f64 #s(literal 16 binary64) a) #s(literal -16 binary64)))))
(/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64))) (+.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) (+.f64 #s(literal 16 binary64) (.f64 #s(literal 16 binary64) a))))
(/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 a a) #s(literal -16 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 a (-.f64 (*.f64 #s(literal 16 binary64) a) #s(literal -16 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))) (neg.f64 (+.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) (+.f64 #s(literal 16 binary64) (.f64 #s(literal 16 binary64) a)))))
(/.f64 (+.f64 #s(literal -16 binary64) (neg.f64 (.f64 (.f64 a a) #s(literal -16 binary64)))) (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 a #s(literal 4 binary64)))))
(/.f64 (+.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) #s(literal -16 binary64)) (+.f64 (*.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (+.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 (.f64 #s(literal 16 binary64) 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 #s(literal 262144 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal -262144 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)) #s(literal 64 binary64)))) (+.f64 #s(literal 16 binary64) (.f64 a (-.f64 (.f64 #s(literal 16 binary64) a) #s(literal -16 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal 4096 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 64 binary64) (.f64 #s(literal 64 binary64) (.f64 a (.f64 a a)))) (+.f64 #s(literal 16 binary64) (.f64 a (-.f64 (*.f64 #s(literal 16 binary64) a) #s(literal -16 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal 4096 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) (+.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) #s(literal 16 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 256 binary64) (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 256 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 16 binary64) (.f64 a (.f64 #s(literal 16 binary64) a))) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 a (-.f64 (*.f64 #s(literal 16 binary64) a) #s(literal -16 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -16 binary64) (neg.f64 (.f64 (.f64 a a) #s(literal -16 binary64))))) (neg.f64 (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 a #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) #s(literal -16 binary64))) (neg.f64 (+.f64 (*.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))))) (+.f64 (.f64 (/.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) (/.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))))) (.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) (/.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))))) (.f64 (/.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) (/.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))) (/.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal -4 binary64))))
(.f64 (+.f64 #s(literal 4 binary64) (.f64 a #s(literal -4 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 a (-.f64 (.f64 #s(literal 16 binary64) a) #s(literal -16 binary64))))))
(.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) (+.f64 #s(literal 16 binary64) (*.f64 #s(literal 16 binary64) a)))))
(.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 a a) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 4 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (.f64 a (-.f64 (.f64 #s(literal 16 binary64) a) #s(literal -16 binary64)))))))
(.f64 (+.f64 #s(literal -16 binary64) (neg.f64 (.f64 (.f64 a a) #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (neg.f64 (.f64 a #s(literal 4 binary64))))))
(.f64 (+.f64 (.f64 a (.f64 #s(literal 16 binary64) a)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 a) #s(literal 3 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)))
(*.f64 a #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) a)

simplify169.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1916×	`-lowering-.f32`
1916×	`-lowering-.f64`
1510×	`fma-define`
1244×	`sum3-define`
1032×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1062
1	214	1041
2	620	1038
3	1772	1022
4	6238	1022
0	8353	1022

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval160.0ms (1.7%)

Compiler: Compiled 20900 to 1791 computations (91.4% saved)

prune96.0ms (1%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	833	3	836
Fresh	0	7	7
Picked	2	3	5
Done	0	5	5
Total	835	18	853

Accuracy

100.0%

Counts

853 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(pow.f64 a #s(literal 4 binary64))
	10.5%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16 binary64) (.f64 (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64))))))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))))) (.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))))))
	48.3%	(/.f64 (.f64 a (.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -4 binary64))))
	67.7%	(-.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (*.f64 b #s(literal 12 binary64)) b)) #s(literal 1 binary64))
✓	73.5%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))
✓	42.6%	(-.f64 (.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64))
✓	72.9%	(-.f64 (.f64 (.f64 a a) (*.f64 a a)) #s(literal 1 binary64))
	68.1%	(-.f64 (.f64 b (.f64 (.f64 a b) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (.f64 b b) #s(literal 12 binary64)) a)))) #s(literal 1 binary64))
✓	67.7%	(-.f64 (.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
✓	50.9%	(-.f64 (.f64 b (.f64 b #s(literal 12 binary64))) #s(literal 1 binary64))
	41.8%	(.f64 (.f64 b b) (*.f64 b b))
	48.3%	(.f64 (.f64 a a) (+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64)))))
	42.2%	(.f64 b (.f64 b (+.f64 #s(literal 12 binary64) (*.f64 b b))))
✓	41.8%	(.f64 b (.f64 b (*.f64 b b)))
	48.3%	(.f64 a (.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a a)))
✓	48.2%	(.f64 a (.f64 a (*.f64 a a)))
	25.9%	(.f64 #s(literal 12 binary64) (.f64 b b))
✓	26.3%	#s(literal -1 binary64)

Compiler

Compiled 1119 to 312 computations (72.1% saved)

regimes72.0ms (0.8%)

Counts

35 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

31.0ms	b
10.0ms	a
10.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
9.0ms	(*.f64 b b)
8.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.9%	3	`a`
97.8%	3	`b`
99.9%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))`
99.9%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))`
97.8%	3	`(*.f64 b b)`

Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes22.0ms (0.2%)

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.3%)

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

16.0ms	a
8.0ms	b
7.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
96.0%	2	`b`
96.0%	2	`(*.f64 b b)`
97.0%	3	`a`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes28.0ms (0.3%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	b
7.0ms	a
6.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
97.0%	3	`a`
95.0%	2	`b`
95.0%	2	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes16.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
94.0%	2	`b`
94.0%	2	`(*.f64 b b)`
95.9%	3	`a`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes13.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
94.0%	2	`b`
94.0%	2	`(*.f64 b b)`
85.4%	3	`a`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes11.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.4%	3	`a`
71.4%	3	`b`
71.4%	3	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
80.5%	5	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.3%	5	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
(.f64 #s(literal 12 binary64) (.f64 b b))

Outputs
#s(literal -1 binary64)
(.f64 #s(literal 12 binary64) (.f64 b b))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.6%	2	`b`
50.6%	2	`(*.f64 b b)`
43.2%	3	`a`

Compiler

Compiled 11 to 7 computations (36.4% 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	a
1.0ms	b

Results

Accuracy	Segments	Branch
26.3%	1	`a`
26.3%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.1465777846229806e+33	6.713835702321626e+34
15.0ms	-60969085139497.664	-7317158739730.995

Results

26.0ms

208×

valid

Compiler

Compiled 790 to 490 computations (38% saved)

Precisions

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

ival-mult: 7.0ms (40.7% of total)

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

ival-sub: 3.0ms (17.5% of total)

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

const: 1.0ms (5.8% of total)

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

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.1465777846229806e+33	6.713835702321626e+34
13.0ms	-39655867139162990.0	-7870981544414539.0

Results

22.0ms

208×

valid

Compiler

Compiled 582 to 386 computations (33.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 7.0ms (44.8% of total)

ival-add: 4.0ms (25.6% of total)

ival-sub: 2.0ms (12.8% of total)

ival-pow: 2.0ms (12.8% of total)

const: 1.0ms (6.4% of total)

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

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.2168419225161076e-5	4.5357133679959246e-5

Compiler

Compiled 34 to 22 computations (35.3% saved)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.1465777846229806e+33	6.713835702321626e+34
16.0ms	-3.377129393627709e+61	-2.2897612835997083e+59

Results

25.0ms

224×

valid

Compiler

Compiled 372 to 246 computations (33.9% saved)

Precisions

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

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

ival-add: 4.0ms (21.7% of total)

ival-pow: 3.0ms (16.3% of total)

ival-sub: 2.0ms (10.8% of total)

const: 1.0ms (5.4% of total)

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

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	4.1465777846229806e+33	6.713835702321626e+34
15.0ms	-3.377129393627709e+61	-2.2897612835997083e+59

Results

32.0ms

224×

valid

Compiler

Compiled 344 to 218 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-add: 13.0ms (51.3% of total)

ival-mult: 7.0ms (27.6% of total)

ival-sub: 2.0ms (7.9% of total)

ival-pow: 2.0ms (7.9% of total)

const: 1.0ms (3.9% of total)

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

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9583.14767020618	40872.16160562144

Compiler

Compiled 34 to 22 computations (35.3% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	8.998029281637981e+29	4.1465777846229806e+33
15.0ms	-3.377129393627709e+61	-2.2897612835997083e+59

Results

27.0ms

240×

valid

Compiler

Compiled 336 to 232 computations (31% saved)

Precisions

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

ival-mult: 10.0ms (49.7% of total)

ival-add: 4.0ms (19.9% of total)

ival-pow: 3.0ms (14.9% of total)

ival-sub: 2.0ms (9.9% of total)

const: 1.0ms (5% of total)

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

bsearch82.0ms (0.9%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
19.0ms	4.1465777846229806e+33	6.713835702321626e+34
17.0ms	3.186549319044881e-147	1.1788999754411087e-143
22.0ms	-1.9513584891765676e-50	-9.335642491241773e-56
15.0ms	-3.377129393627709e+61	-2.2897612835997083e+59

Results

58.0ms

496×

valid

Compiler

Compiled 554 to 360 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 20.0ms (46.4% of total)

ival-add: 11.0ms (25.5% of total)

ival-sub: 5.0ms (11.6% of total)

ival-pow: 5.0ms (11.6% of total)

const: 1.0ms (2.3% of total)

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

bsearch82.0ms (0.9%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	8.998029281637981e+29	4.1465777846229806e+33
9.0ms	2.2160574468222323e-10	3.8237404142447367e-10
23.0ms	-2.8468098113679018e-9	-4.53304821233266e-16
21.0ms	-3.377129393627709e+61	-2.2897612835997083e+59

Results

60.0ms

448×

valid

Compiler

Compiled 462 to 332 computations (28.1% saved)

Precisions

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

ival-mult: 15.0ms (32.6% of total)

ival-pow: 14.0ms (30.4% of total)

ival-add: 11.0ms (23.9% of total)

ival-sub: 4.0ms (8.7% of total)

const: 1.0ms (2.2% of total)

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

bsearch26.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.5357133679959246e-5	101.49036993144789

Results

14.0ms

144×

valid

Compiler

Compiled 124 to 103 computations (16.9% saved)

Precisions

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

ival-mult: 4.0ms (39.9% of total)

ival-add: 3.0ms (30% of total)

ival-pow: 2.0ms (20% of total)

ival-sub: 1.0ms (10% of total)

const: 0.0ms (0% of total)

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

simplify103.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

522×	`distribute-lft-neg-in_binary64`
432×	`unsub-neg_binary64`
322×	`neg-mul-1_binary64`
304×	`neg-sub0_binary64`
224×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	428
1	192	428
2	217	428
3	247	428
4	284	428
5	336	428
6	429	428
7	598	428
8	782	428
9	1092	428
10	1364	428
11	1597	428
12	1771	428
13	1863	428
14	1907	428
15	1923	428
16	1927	428
17	1928	428
18	1930	428
19	1930	428
20	1930	428

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64)))))) #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 b (*.f64 b #s(literal 2 binary64)))) a)) a))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -7500000000000 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 b (.f64 b #s(literal 2 binary64)))) a)) a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 4200000000000000117292421527633920 binary64)) (-.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) 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 b (.f64 b #s(literal 2 binary64)))) a)) a))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -8000000000000000 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 b (.f64 b #s(literal 2 binary64)))) a)) a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 4200000000000000117292421527633920 binary64)) (-.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 12 binary64)))) #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 b (*.f64 b #s(literal 2 binary64)))) a)) a))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 6640827866535439/147573952589676412928 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 b (.f64 b (+.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (+.f64 a #s(literal 3 binary64)))))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 4200000000000000117292421527633920 binary64)) (-.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 a #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 16999999999999999651239679083151360 binary64)) (-.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 10000 binary64)) (-.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)) (.f64 b (.f64 b (+.f64 #s(literal 12 binary64) (*.f64 b b)))))
(if (<=.f64 a #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 900000000000000046043660025856 binary64)) (-.f64 (.f64 b (.f64 b #s(literal 12 binary64))) #s(literal 1 binary64)) (.f64 a (.f64 a (.f64 a a)))))
(if (<=.f64 a #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal -3475305625062387/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (.f64 b (.f64 b (.f64 b b))) (if (<=.f64 a #s(literal 4147436154344509/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296 binary64)) #s(literal -1 binary64) (if (<=.f64 a #s(literal 9000000000000000086637831186808832 binary64)) (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))))
(if (<=.f64 a #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal -6769984589841923/2417851639229258349412352 binary64)) (.f64 #s(literal 12 binary64) (.f64 b b)) (if (<=.f64 a #s(literal 7350268983256945/19342813113834066795298816 binary64)) #s(literal -1 binary64) (if (<=.f64 a #s(literal 2499999999999999908974073741312 binary64)) (.f64 #s(literal 12 binary64) (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))))))
(if (<=.f64 (.f64 b b) #s(literal 5908722711110091/72057594037927936 binary64)) #s(literal -1 binary64) (.f64 #s(literal 12 binary64) (*.f64 b b)))
#s(literal -1 binary64)

Outputs
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64)))))) #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 b (*.f64 b #s(literal 2 binary64)))) a)) a))) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64)))))) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 #s(literal 4 binary64) (+.f64 (.f64 a (.f64 a (-.f64 #s(literal 1 binary64) a))) (.f64 b (.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal -1 binary64))) (+.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 b (*.f64 b #s(literal 2 binary64)))) a) #s(literal 4 binary64)) a))) #s(literal -1 binary64)))
(if (<=.f64 a #s(literal -7500000000000 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 b (.f64 b #s(literal 2 binary64)))) a)) a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 4200000000000000117292421527633920 binary64)) (-.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 #s(literal 3 binary64) 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 b (.f64 b #s(literal 2 binary64)))) a)) a))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -7500000000000 binary64)) (+.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 b (.f64 b #s(literal 2 binary64)))) a) #s(literal 4 binary64)) a))) #s(literal -1 binary64)) (if (<=.f64 a #s(literal 4200000000000000117292421527633920 binary64)) (+.f64 (+.f64 (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (+.f64 a #s(literal 3 binary64))))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 b (.f64 b #s(literal 2 binary64)))) a) #s(literal 4 binary64)) a))) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -8000000000000000 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 b (.f64 b #s(literal 2 binary64)))) a)) a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 4200000000000000117292421527633920 binary64)) (-.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 12 binary64)))) #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 b (*.f64 b #s(literal 2 binary64)))) a)) a))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -8000000000000000 binary64)) (+.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 b (.f64 b #s(literal 2 binary64)))) a) #s(literal 4 binary64)) a))) #s(literal -1 binary64)) (if (<=.f64 a #s(literal 4200000000000000117292421527633920 binary64)) (+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 12 binary64)))) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 b (*.f64 b #s(literal 2 binary64)))) a) #s(literal 4 binary64)) a))) #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 6640827866535439/147573952589676412928 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 b (.f64 b (+.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (+.f64 a #s(literal 3 binary64)))))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 6640827866535439/147573952589676412928 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 b (.f64 b (+.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (+.f64 a #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(if (<=.f64 a #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 4200000000000000117292421527633920 binary64)) (-.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 a #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 4200000000000000117292421527633920 binary64)) (+.f64 (.f64 b (.f64 b (+.f64 (.f64 b b) #s(literal 12 binary64)))) #s(literal -1 binary64)) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 a #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 16999999999999999651239679083151360 binary64)) (-.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 a #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 16999999999999999651239679083151360 binary64)) (+.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal -1 binary64)) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 10000 binary64)) (-.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64)) (.f64 b (.f64 b (+.f64 #s(literal 12 binary64) (*.f64 b b)))))
(if (<=.f64 (.f64 b b) #s(literal 10000 binary64)) (+.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1 binary64)) (.f64 b (.f64 b (+.f64 (*.f64 b b) #s(literal 12 binary64)))))
(if (<=.f64 a #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 900000000000000046043660025856 binary64)) (-.f64 (.f64 b (.f64 b #s(literal 12 binary64))) #s(literal 1 binary64)) (.f64 a (.f64 a (.f64 a a)))))
(if (<=.f64 a #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal 900000000000000046043660025856 binary64)) (+.f64 (.f64 b (.f64 b #s(literal 12 binary64))) #s(literal -1 binary64)) (.f64 a (.f64 a (.f64 a a)))))
(if (<=.f64 a #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal -3475305625062387/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (.f64 b (.f64 b (.f64 b b))) (if (<=.f64 a #s(literal 4147436154344509/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296 binary64)) #s(literal -1 binary64) (if (<=.f64 a #s(literal 9000000000000000086637831186808832 binary64)) (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))))
(if (<=.f64 a #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal -6769984589841923/2417851639229258349412352 binary64)) (.f64 #s(literal 12 binary64) (.f64 b b)) (if (<=.f64 a #s(literal 7350268983256945/19342813113834066795298816 binary64)) #s(literal -1 binary64) (if (<=.f64 a #s(literal 2499999999999999908974073741312 binary64)) (.f64 #s(literal 12 binary64) (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))))))
(if (<=.f64 a #s(literal -240000000000000019965985557181861851882709115256858986151936 binary64)) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a #s(literal -6769984589841923/2417851639229258349412352 binary64)) (.f64 (.f64 b b) #s(literal 12 binary64)) (if (<=.f64 a #s(literal 7350268983256945/19342813113834066795298816 binary64)) #s(literal -1 binary64) (if (<=.f64 a #s(literal 2499999999999999908974073741312 binary64)) (.f64 (.f64 b b) #s(literal 12 binary64)) (.f64 a (.f64 a (.f64 a a)))))))
(if (<=.f64 (.f64 b b) #s(literal 5908722711110091/72057594037927936 binary64)) #s(literal -1 binary64) (.f64 #s(literal 12 binary64) (*.f64 b b)))
(if (<=.f64 (.f64 b b) #s(literal 5908722711110091/72057594037927936 binary64)) #s(literal -1 binary64) (.f64 (*.f64 b b) #s(literal 12 binary64)))
#s(literal -1 binary64)

soundness1.4s (15.1%)

Rules

4258×	`-lowering-.f32`
4258×	`-lowering-.f64`
3614×	`+-lowering-+.f64`
3614×	`+-lowering-+.f32`
3176×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	292	3686
1	996	3488
2	3430	3434
0	8397	3434
0	191	3630
1	643	3537
2	2300	3422
0	8048	3422
0	83	1062
1	214	1041
2	620	1038
3	1772	1022
4	6238	1022
0	8353	1022
0	82	1053
1	270	994
2	802	920
3	2962	880
0	8613	880
0	18	27
1	53	26
2	200	26
3	797	25
4	4446	25
5	6171	25
0	8212	25

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 982 to 448 computations (54.4% saved)

preprocess69.0ms (0.7%)

Remove: (abs b)
Compiler: Compiled 1238 to 354 computations (71.4% saved)

analyze0.0ms (0%)

sample1.4s (15.4%)

preprocess249.0ms (2.6%)

explain168.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify351.0ms (3.7%)

localize163.0ms (1.7%)

series13.0ms (0.1%)

rewrite723.0ms (7.7%)

simplify254.0ms (2.7%)

eval264.0ms (2.8%)

prune182.0ms (1.9%)

simplify143.0ms (1.5%)

localize222.0ms (2.4%)

series23.0ms (0.2%)

rewrite518.0ms (5.5%)

simplify270.0ms (2.9%)

eval159.0ms (1.7%)

prune85.0ms (0.9%)

simplify260.0ms (2.8%)

localize93.0ms (1%)

series6.0ms (0.1%)

rewrite302.0ms (3.2%)

simplify188.0ms (2%)

eval85.0ms (0.9%)

prune68.0ms (0.7%)

simplify146.0ms (1.5%)

localize115.0ms (1.2%)

series7.0ms (0.1%)

rewrite290.0ms (3.1%)

simplify169.0ms (1.8%)

eval160.0ms (1.7%)

prune96.0ms (1%)

regimes72.0ms (0.8%)

regimes22.0ms (0.2%)

regimes10.0ms (0.1%)

regimes33.0ms (0.3%)

regimes28.0ms (0.3%)

regimes16.0ms (0.2%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch37.0ms (0.4%)

bsearch34.0ms (0.4%)

bsearch0.0ms (0%)

bsearch36.0ms (0.4%)

bsearch43.0ms (0.5%)

bsearch0.0ms (0%)

bsearch39.0ms (0.4%)

bsearch82.0ms (0.9%)

bsearch82.0ms (0.9%)

bsearch26.0ms (0.3%)

simplify103.0ms (1.1%)

soundness1.4s (15.1%)

preprocess69.0ms (0.7%)

end0.0ms (0%)

Profiling