Metrics for Asymptote C

analyze4.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-div: 1.0ms (76.6% of total)

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

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

const: 0.0ms (0% of total)

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

sample1.4s (13.9%)

Results

732.0ms	3981×	1	valid
447.0ms	4275×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 711.0ms

ival-div: 274.0ms (38.5% of total)

ival-sub: 157.0ms (22.1% of total)

ival-add: 139.0ms (19.6% of total)

backward-pass: 127.0ms (17.9% of total)

const: 15.0ms (2.1% of total)

Bogosity

preprocess168.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

2612×	`sum3-define`
2376×	`fnmadd-define`
2316×	`sum5-define`
1714×	`fnmsub-define`
1714×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	32	44
2	80	40
3	207	39
4	591	39
5	1727	39
6	4639	39
7	6849	39
8	7506	39
9	7987	39
10	7987	39
0	7	13
1	15	13
2	23	13
3	40	13
4	75	13
5	136	13
6	271	13
7	590	13
8	1708	13
9	4917	13
10	5926	13
11	6343	13
0	6343	13

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

Outputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))

Call 2

Inputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(- (/ (neg x) (+ (neg x) 1)) (/ (+ (neg x) 1) (- (neg x) 1)))
(neg (- (/ (neg x) (+ (neg x) 1)) (/ (+ (neg x) 1) (- (neg x) 1))))

Outputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(+ (/ (- -1 x) (+ x -1)) (/ x (+ x 1)))
(- (/ (neg x) (+ (neg x) 1)) (/ (+ (neg x) 1) (- (neg x) 1)))
(fnmsub (+ x -1) (recip (+ x 1)) (/ x (- 1 x)))
(neg (- (/ (neg x) (+ (neg x) 1)) (/ (+ (neg x) 1) (- (neg x) 1))))
(fnmsub (+ x -1) (recip (- -1 x)) (/ x (+ x -1)))

explain173.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
124	-	-	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`
0	-	-	`x`
0	-	-	`(/.f64 x (+.f64 x #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	-	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
0	-	-	`(+.f64 x #s(literal 1 binary64))`

Results

88.0ms	242×	1	valid
45.0ms	270×	0	valid

Compiler

Compiled 84 to 23 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-add: 25.0ms (36.1% of total)

ival-sub: 25.0ms (36.1% of total)

ival-div: 12.0ms (17.3% of total)

backward-pass: 6.0ms (8.7% of total)

const: 1.0ms (1.4% of total)

eval0.0ms (0%)

Compiler: Compiled 14 to 7 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.0%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 14 to 7 computations (50% saved)

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
✓	cost-diff	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Rules

2316×	`sum5-define`
1530×	`fnmadd-define`
1412×	`sum4-define`
1164×	`sum3-define`
1004×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
1	15	33
2	23	33
3	40	33
4	75	33
5	136	33
6	271	33
7	590	33
8	1708	33
9	4917	33
10	5926	33
11	6343	33
0	6343	33

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(/ x (+ x 1))
x
(+ x 1)
1
(/ (+ x 1) (- x 1))
(- x 1)

Outputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/ x (+ x 1))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (+ x 1) (- x 1))
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(- x 1)
(+.f64 x #s(literal -1 binary64))

localize94.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	55.1%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Results

43.0ms	135×	0	valid
40.0ms	121×	1	valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

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

ival-add: 17.0ms (55.3% of total)

ival-div: 6.0ms (19.5% of total)

ival-sub: 4.0ms (13% of total)

backward-pass: 3.0ms (9.8% of total)

const: 1.0ms (3.3% of total)

series3.0ms (0%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))>
#<alt (/ x (+ x 1))>
#<alt (+ x 1)>
#<alt (/ (+ x 1) (- x 1))>

Outputs
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (- (* -2 x) 1)>
#<alt (- (* x (- (* -2 x) 2)) 1)>
#<alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0ms	x	@	-inf	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0ms	x	@	0	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0ms	x	@	inf	(+ x 1)
0.0ms	x	@	-inf	(/ (+ x 1) (- x 1))

rewrite462.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4808×	`-lowering-.f32`
4808×	`-lowering-.f64`
4650×	`/-lowering-/.f32`
4650×	`/-lowering-/.f64`
2178×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	62	28
2	733	28
0	8181	28

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 352

Calls

Call 1

Inputs
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
(/ x (+ x 1))
(+ x 1)
(/ (+ x 1) (- x 1))

Outputs
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(+.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x (*.f64 x x)) #s(literal -1 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x (*.f64 x x)) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (neg.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x (*.f64 x x)) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (neg.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
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(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))))
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 x #s(literal -1 binary64))))

simplify296.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1900×	`sum3-define`
1716×	`sum4-define`
1630×	`-lowering-.f32`
1630×	`-lowering-.f64`
1438×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	307
1	288	282
2	725	272
3	1877	266
4	5360	266
0	8065	266

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
-1
(- (* -2 x) 1)
(- (* x (- (* -2 x) 2)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(+ 1 (* x (+ 3 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/.f64 (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/.f64 (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))) x)
x
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* x (- x 1))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(.f64 x (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
-1
#s(literal -1 binary64)
(- (* -2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(- (* x (- (* -2 x) 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal -2 binary64)))))
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))

eval81.0ms (0.8%)

Compiler: Compiled 13570 to 1321 computations (90.3% saved)

prune98.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	441	10	451
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	441	11	452

Accuracy

100.0%

Counts

452 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.3%	(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
▶	49.7%	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
▶	48.6%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
	49.6%	(/.f64 #s(literal -3 binary64) x)
✓	55.0%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
	55.0%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
	54.2%	(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
	52.1%	(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
▶	51.5%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
	51.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	52.1%	#s(literal 1 binary64)

Compiler

Compiled 242 to 147 computations (39.3% saved)

simplify277.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
✓	cost-diff	0	(-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
✓	cost-diff	0	(*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
✓	cost-diff	512	(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))

Rules

3180×	`+-lowering-+.f64`
3180×	`+-lowering-+.f32`
2252×	`-lowering-.f32`
2252×	`-lowering-.f64`
1638×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	133
1	52	132
2	145	123
3	451	120
4	1737	120
0	8592	120

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (* (+ x 1) (/ (+ x -1) (+ x 1))))
(- (* x (/ (+ x -1) (+ x 1))) (+ x 1))
(* x (/ (+ x -1) (+ x 1)))
x
(/ (+ x -1) (+ x 1))
(+ x -1)
-1
(+ x 1)
1
(* (+ x 1) (/ (+ x -1) (+ x 1)))
1
(+ 1 (* 3 x))
1
(* 3 x)
3
x
(/ (+ -3 (/ -1 x)) x)
(+ -3 (/ -1 x))
-3
(/ -1 x)
-1
x
(/ (- -3 (/ (+ 1 (/ 3 x)) x)) x)
(- -3 (/ (+ 1 (/ 3 x)) x))
-3
(/ (+ 1 (/ 3 x)) x)
(+ 1 (/ 3 x))
1
(/ 3 x)
3
x

Outputs
(/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (* (+ x 1) (/ (+ x -1) (+ x 1))))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(- (* x (/ (+ x -1) (+ x 1))) (+ x 1))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(* x (/ (+ x -1) (+ x 1)))
(/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
x
(/ (+ x -1) (+ x 1))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (+ x 1) (/ (+ x -1) (+ x 1)))
(+.f64 x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
x
(/ (+ -3 (/ -1 x)) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(+ -3 (/ -1 x))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
-3
#s(literal -3 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(/ (- -3 (/ (+ 1 (/ 3 x)) x)) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(- -3 (/ (+ 1 (/ 3 x)) x))
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
-3
#s(literal -3 binary64)
(/ (+ 1 (/ 3 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(+ 1 (/ 3 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
1
#s(literal 1 binary64)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
3
#s(literal 3 binary64)
x

localize232.0ms (2.3%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.9%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	54.3%	(-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))

Results

131.0ms	117×	1	valid
53.0ms	135×	0	valid
4.0ms	4×	2	valid

Compiler

Compiled 145 to 23 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-div: 39.0ms (50.3% of total)

backward-pass: 16.0ms (20.7% of total)

ival-add: 10.0ms (12.9% of total)

ival-mult: 7.0ms (9% of total)

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

const: 1.0ms (1.3% of total)

series8.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (* (+ x 1) (/ (+ x -1) (+ x 1)))>
#<alt (/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (* (+ x 1) (/ (+ x -1) (+ x 1))))>
#<alt (- (* x (/ (+ x -1) (+ x 1))) (+ x 1))>
#<alt (* x (/ (+ x -1) (+ x 1)))>
#<alt (+ 1 (* 3 x))>
#<alt (* 3 x)>
#<alt (/ (+ -3 (/ -1 x)) x)>
#<alt (+ -3 (/ -1 x))>
#<alt (/ -1 x)>
#<alt (/ (- -3 (/ (+ 1 (/ 3 x)) x)) x)>
#<alt (- -3 (/ (+ 1 (/ 3 x)) x))>
#<alt (/ (+ 1 (/ 3 x)) x)>
#<alt (+ 1 (/ 3 x))>
#<alt (/ (+ x -1) (+ x 1))>

Outputs
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt -1>
#<alt (- (* -2 x) 1)>
#<alt (- (* x (- (* 2 x) 2)) 1)>
#<alt (- (* x (- (* x (+ 2 (* -2 x))) 2)) 1)>
#<alt -3>
#<alt (- (* 2 (/ 1 x)) 3)>
#<alt (- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))>
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))>
#<alt -3>
#<alt (- (* 2 (/ 1 x)) 3)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 x) 1))>
#<alt (* x (- (* x (+ 2 (* -2 x))) 1))>
#<alt (* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ -1 x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -3 (pow x 3))>
#<alt (/ (- (* -1 x) 3) (pow x 3))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (/ -3 (pow x 2))>
#<alt (/ (- (* -1 x) 3) (pow x 2))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt (/ 3 (pow x 2))>
#<alt (/ (+ 3 x) (pow x 2))>
#<alt (/ (+ 3 x) (pow x 2))>
#<alt (/ (+ 3 x) (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 3 (/ 1 x))) x)>
#<alt (/ (+ 1 (* 3 (/ 1 x))) x)>
#<alt (/ (+ 1 (* 3 (/ 1 x))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 3 (/ 1 x))) x)>
#<alt (/ (+ 1 (* 3 (/ 1 x))) x)>
#<alt (/ (+ 1 (* 3 (/ 1 x))) x)>
#<alt (/ 3 x)>
#<alt (/ (+ 3 x) x)>
#<alt (/ (+ 3 x) x)>
#<alt (/ (+ 3 x) x)>
#<alt 1>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt -1>
#<alt (- (* 2 x) 1)>
#<alt (- (* x (+ 2 (* -2 x))) 1)>
#<alt (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))>

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (- -3 (/ (+ 1 (/ 3 x)) x)) x)
0.0ms	x	@	inf	(+ 1 (* 3 x))
0.0ms	x	@	-inf	(/ (+ -3 (/ -1 x)) x)
0.0ms	x	@	0	(/ (+ -3 (/ -1 x)) x)
0.0ms	x	@	0	(/ (- -3 (/ (+ 1 (/ 3 x)) x)) x)

rewrite559.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4192×	`-lowering-.f32`
4192×	`-lowering-.f64`
3836×	`/-lowering-/.f32`
3836×	`/-lowering-/.f64`
2304×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	118
1	169	101
2	1834	98
0	8569	98

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 699

Calls

Call 1

Inputs
(* (+ x 1) (/ (+ x -1) (+ x 1)))
(/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (* (+ x 1) (/ (+ x -1) (+ x 1))))
(- (* x (/ (+ x -1) (+ x 1))) (+ x 1))
(* x (/ (+ x -1) (+ x 1)))
(+ 1 (* 3 x))
(* 3 x)
(/ (+ -3 (/ -1 x)) x)
(+ -3 (/ -1 x))
(/ -1 x)
(/ (- -3 (/ (+ 1 (/ 3 x)) x)) x)
(- -3 (/ (+ 1 (/ 3 x)) x))
(/ (+ 1 (/ 3 x)) x)
(+ 1 (/ 3 x))
(/ (+ x -1) (+ x 1))

Outputs
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(-.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
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(/.f64 (-.f64 (.f64 #s(literal -27 binary64) (+.f64 #s(literal 9 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x))))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))) (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)))) (+.f64 #s(literal 9 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x))))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x))) (.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))))) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x))))
(pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)))) (-.f64 #s(literal -27 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))) (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal -27 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x))))))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal 3 binary64)))) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)))
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x))) (/.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(literal 9 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal 3 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))))
(/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))))

simplify281.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2036×	`-lowering-.f32`
2036×	`-lowering-.f64`
1696×	`+-lowering-+.f64`
1696×	`+-lowering-+.f32`
1582×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1003
1	408	908
2	1124	861
3	3302	842
0	8439	842

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
-1
(- (* -2 x) 1)
(- (* x (- (* 2 x) 2)) 1)
(- (* x (- (* x (+ 2 (* -2 x))) 2)) 1)
-3
(- (* 2 (/ 1 x)) 3)
(- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))
-3
(- (* 2 (/ 1 x)) 3)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)
(* -1 x)
(* x (- (* 2 x) 1))
(* x (- (* x (+ 2 (* -2 x))) 1))
(* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))
x
(* x (- 1 (* 2 (/ 1 x))))
(* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))
x
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
1
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ -1 x)
(/ (- (* -3 x) 1) x)
(/ (- (* -3 x) 1) x)
(/ (- (* -3 x) 1) x)
-3
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
-3
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -3 (pow x 3))
(/ (- (* -1 x) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/ -3 (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
-3
(* -1 (+ 3 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
-3
(* -1 (+ 3 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(/ 3 (pow x 2))
(/ (+ 3 x) (pow x 2))
(/ (+ 3 x) (pow x 2))
(/ (+ 3 x) (pow x 2))
(/ 1 x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/ 1 x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/ 3 x)
(/ (+ 3 x) x)
(/ (+ 3 x) x)
(/ (+ 3 x) x)
1
(+ 1 (* 3 (/ 1 x)))
(+ 1 (* 3 (/ 1 x)))
(+ 1 (* 3 (/ 1 x)))
1
(+ 1 (* 3 (/ 1 x)))
(+ 1 (* 3 (/ 1 x)))
(+ 1 (* 3 (/ 1 x)))
-1
(- (* 2 x) 1)
(- (* x (+ 2 (* -2 x))) 1)
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)
1
(- 1 (* 2 (/ 1 x)))
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))
1
(- 1 (* 2 (/ 1 x)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))

Outputs
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
x
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 1 (* x (+ 3 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64))) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64))) x)
-1
#s(literal -1 binary64)
(- (* -2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(- (* x (- (* 2 x) 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))
(- (* x (- (* x (+ 2 (* -2 x))) 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))))))
-3
#s(literal -3 binary64)
(- (* 2 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
-3
#s(literal -3 binary64)
(- (* 2 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 2 x) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 2 binary64))))
(* x (- (* x (+ 2 (* -2 x))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))))
(* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64))))))))
x
(* x (- 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal -2 binary64))
(* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(+.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) x))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x) x))))
x
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(+.f64 x #s(literal -2 binary64))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
(+.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) x))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x) x))))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -3 x) 1) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* -3 x) 1) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* -3 x) 1) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -3 (pow x 3))
(/.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) x)
(/ (- (* -1 x) 3) (pow x 3))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 x x))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/ -3 (pow x 2))
(/.f64 #s(literal -3 binary64) (*.f64 x x))
(/ (- (* -1 x) 3) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
(/ 3 (pow x 2))
(/.f64 #s(literal 3 binary64) (*.f64 x x))
(/ (+ 3 x) (pow x 2))
(/.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 x x))
(/ (+ 3 x) (pow x 2))
(/.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 x x))
(/ (+ 3 x) (pow x 2))
(/.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (+ 3 x) x)
(/.f64 (+.f64 x #s(literal 3 binary64)) x)
(/ (+ 3 x) x)
(/.f64 (+.f64 x #s(literal 3 binary64)) x)
(/ (+ 3 x) x)
(/.f64 (+.f64 x #s(literal 3 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
-1
#s(literal -1 binary64)
(- (* 2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)))
(- (* x (+ 2 (* -2 x))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))))
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x))

eval188.0ms (1.8%)

Compiler: Compiled 29669 to 2721 computations (90.8% saved)

prune119.0ms (1.2%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	894	9	903
Fresh	3	2	5
Picked	1	4	5
Done	0	1	1
Total	898	16	914

Accuracy

100.0%

Counts

914 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.3%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (.f64 x (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))))
▶	55.3%	(/.f64 (-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
▶	55.3%	(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))))
✓	49.7%	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
✓	48.6%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
▶	48.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
▶	49.6%	(/.f64 #s(literal -3 binary64) x)
✓	55.0%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
	55.0%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
▶	49.7%	(-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)))
	53.8%	(+.f64 (fma.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))))
	53.8%	(+.f64 (fma.f64 (/.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))))
	52.1%	(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
✓	51.5%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
	51.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
✓	52.1%	#s(literal 1 binary64)

Compiler

Compiled 686 to 267 computations (61.1% saved)

simplify239.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))))
✓	cost-diff	896	(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal -3 binary64) x)
✓	cost-diff	0	(-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
✓	cost-diff	0	(/.f64 #s(literal -3 binary64) x)
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	256	(/.f64 (-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))

Rules

2882×	`-lowering-.f32`
2882×	`-lowering-.f64`
1874×	`+-lowering-+.f64`
1874×	`+-lowering-+.f32`
1186×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	195
1	66	195
2	139	190
3	341	184
4	1004	181
5	5298	181
0	8390	181

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (- x 1))
(- (* x (/ (+ x -1) (+ x 1))) (+ x 1))
(* x (/ (+ x -1) (+ x 1)))
x
(/ (+ x -1) (+ x 1))
(+ x -1)
-1
(+ x 1)
1
(- x 1)
(/ -3 x)
-3
x
(/ 1 (/ x (+ -3 (/ -1 x))))
1
(/ x (+ -3 (/ -1 x)))
x
(+ -3 (/ -1 x))
-3
(/ -1 x)
-1
(- (/ -3 x) (/ (+ 1 (/ 3 x)) (* x x)))
(/ -3 x)
-3
x
(/ (+ 1 (/ 3 x)) (* x x))
(+ 1 (/ 3 x))
1
(/ 3 x)
3
(* x x)
(/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (+ (/ (+ x -1) (+ x 1)) (/ (* x (+ x -1)) (+ x 1))))
(- (* x (/ (+ x -1) (+ x 1))) (+ x 1))
(* x (/ (+ x -1) (+ x 1)))
x
(/ (+ x -1) (+ x 1))
(+ x -1)
-1
(+ x 1)
1
(+ (/ (+ x -1) (+ x 1)) (/ (* x (+ x -1)) (+ x 1)))
(/ (* x (+ x -1)) (+ x 1))
(* x (+ x -1))

Outputs
(/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (- x 1))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(- (* x (/ (+ x -1) (+ x 1))) (+ x 1))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(* x (/ (+ x -1) (+ x 1)))
(/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
x
(/ (+ x -1) (+ x 1))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
-3
#s(literal -3 binary64)
x
(/ 1 (/ x (+ -3 (/ -1 x))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
1
#s(literal 1 binary64)
(/ x (+ -3 (/ -1 x)))
(/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
x
(+ -3 (/ -1 x))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
-3
#s(literal -3 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(- (/ -3 x) (/ (+ 1 (/ 3 x)) (* x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
-3
#s(literal -3 binary64)
x
(/ (+ 1 (/ 3 x)) (* x x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x))
(+ 1 (/ 3 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
1
#s(literal 1 binary64)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
3
#s(literal 3 binary64)
(* x x)
(*.f64 x x)
(/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (+ (/ (+ x -1) (+ x 1)) (/ (* x (+ x -1)) (+ x 1))))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(- (* x (/ (+ x -1) (+ x 1))) (+ x 1))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(* x (/ (+ x -1) (+ x 1)))
(/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
x
(/ (+ x -1) (+ x 1))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ (/ (+ x -1) (+ x 1)) (/ (* x (+ x -1)) (+ x 1)))
(+.f64 x #s(literal -1 binary64))
(/ (* x (+ x -1)) (+ x 1))
(/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(* x (+ x -1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))

localize378.0ms (3.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓	accuracy	79.5%	(/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	54.3%	(-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	99.9%	(/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
✓	accuracy	100.0%	(/.f64 #s(literal -3 binary64) x)
✓	accuracy	100.0%	(/.f64 (-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	54.3%	(-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))

Results

210.0ms	121×	1	valid
57.0ms	135×	0	valid

Compiler

Compiled 233 to 27 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-div: 66.0ms (54.4% of total)

ival-mult: 28.0ms (23.1% of total)

backward-pass: 11.0ms (9.1% of total)

ival-add: 10.0ms (8.2% of total)

ival-sub: 6.0ms (4.9% of total)

const: 1.0ms (0.8% of total)

series6.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (- x 1))>
#<alt (- (* x (/ (+ x -1) (+ x 1))) (+ x 1))>
#<alt (* x (/ (+ x -1) (+ x 1)))>
#<alt (/ (+ x -1) (+ x 1))>
#<alt (/ -3 x)>
#<alt (/ 1 (/ x (+ -3 (/ -1 x))))>
#<alt (/ x (+ -3 (/ -1 x)))>
#<alt (+ -3 (/ -1 x))>
#<alt (/ -1 x)>
#<alt (- (/ -3 x) (/ (+ 1 (/ 3 x)) (* x x)))>
#<alt (/ (+ 1 (/ 3 x)) (* x x))>
#<alt (+ 1 (/ 3 x))>
#<alt (+ (/ (+ x -1) (+ x 1)) (/ (* x (+ x -1)) (+ x 1)))>
#<alt (/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (+ (/ (+ x -1) (+ x 1)) (/ (* x (+ x -1)) (+ x 1))))>
#<alt (* x x)>
#<alt (/ (* x (+ x -1)) (+ x 1))>
#<alt (* x (+ x -1))>

Outputs
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt -1>
#<alt (- (* -2 x) 1)>
#<alt (- (* x (- (* 2 x) 2)) 1)>
#<alt (- (* x (- (* x (+ 2 (* -2 x))) 2)) 1)>
#<alt -3>
#<alt (- (* 2 (/ 1 x)) 3)>
#<alt (- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))>
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))>
#<alt -3>
#<alt (- (* 2 (/ 1 x)) 3)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 x) 1))>
#<alt (* x (- (* x (+ 2 (* -2 x))) 1))>
#<alt (* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))>
#<alt -1>
#<alt (- (* 2 x) 1)>
#<alt (- (* x (+ 2 (* -2 x))) 1)>
#<alt (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 x) 1))>
#<alt (* (pow x 2) (- (* x (+ 3 (* -9 x))) 1))>
#<alt (* (pow x 2) (- (* x (+ 3 (* x (- (* 27 x) 9)))) 1))>
#<alt (* -1/3 x)>
#<alt (* x (- (* 1/9 (/ 1 x)) 1/3))>
#<alt (* x (- (* 1/9 (/ 1 x)) (+ 1/3 (/ 1/27 (pow x 2)))))>
#<alt (* x (- (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (pow x 3)))) (+ 1/3 (/ 1/27 (pow x 2)))))>
#<alt (* -1/3 x)>
#<alt (* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x)))))>
#<alt (/ -1 x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -3 (pow x 3))>
#<alt (/ (- (* -1 x) 3) (pow x 3))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (/ 3 (pow x 3))>
#<alt (/ (+ 3 x) (pow x 3))>
#<alt (/ (+ 3 x) (pow x 3))>
#<alt (/ (+ 3 x) (pow x 3))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 3 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 1 (* 3 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 1 (* 3 (/ 1 x))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 3 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 1 (* 3 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 1 (* 3 (/ 1 x))) (pow x 2))>
#<alt (/ 3 x)>
#<alt (/ (+ 3 x) x)>
#<alt (/ (+ 3 x) x)>
#<alt (/ (+ 3 x) x)>
#<alt 1>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt (+ 1 (* 3 (/ 1 x)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 x) 1))>
#<alt (* x (- (* x (+ 2 (* -2 x))) 1))>
#<alt (* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))>
#<alt (* -1 x)>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+ (/ (+ x -1) (+ x 1)) (/ (* x (+ x -1)) (+ x 1)))
1.0ms	x	@	0	(+ (/ (+ x -1) (+ x 1)) (/ (* x (+ x -1)) (+ x 1)))
0.0ms	x	@	inf	(+ (/ (+ x -1) (+ x 1)) (/ (* x (+ x -1)) (+ x 1)))
0.0ms	x	@	-inf	(* x (+ x -1))
0.0ms	x	@	inf	(* x x)

rewrite470.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2994×	`fma-lowering-fma.f32`
2994×	`fma-lowering-fma.f64`
2340×	`-lowering-.f32`
2340×	`-lowering-.f64`
2166×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	158
1	228	144
2	2530	141
0	8301	141

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 661

Calls

Call 1

Inputs
(/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (- x 1))
(- (* x (/ (+ x -1) (+ x 1))) (+ x 1))
(* x (/ (+ x -1) (+ x 1)))
(/ (+ x -1) (+ x 1))
(/ -3 x)
(/ 1 (/ x (+ -3 (/ -1 x))))
(/ x (+ -3 (/ -1 x)))
(+ -3 (/ -1 x))
(/ -1 x)
(- (/ -3 x) (/ (+ 1 (/ 3 x)) (* x x)))
(/ (+ 1 (/ 3 x)) (* x x))
(+ 1 (/ 3 x))
(+ (/ (+ x -1) (+ x 1)) (/ (* x (+ x -1)) (+ x 1)))
(/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (+ (/ (+ x -1) (+ x 1)) (/ (* x (+ x -1)) (+ x 1))))
(* x x)
(/ (* x (+ x -1)) (+ x 1))
(* x (+ x -1))

Outputs
(+.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 x x) #s(literal -1 binary64))) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (fma.f64 x (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (fma.f64 x (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (fma.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(+.f64 (fma.f64 x (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))))
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(+.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (fma.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (fma.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))))
(+.f64 (fma.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))))
(+.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (fma.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))))
(+.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))))
(+.f64 (fma.f64 (/.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (fma.f64 (/.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (fma.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (/.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 (/.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 (/.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (fma.f64 (/.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (fma.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (/.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (neg.f64 (.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))))
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(/.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 (.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))) (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) x) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(.f64 x (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) x)
(.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))

simplify296.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2378×	`-lowering-.f32`
2378×	`-lowering-.f64`
2202×	`fma-lowering-fma.f32`
2202×	`fma-lowering-fma.f64`
1832×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	187	1296
1	583	1207
2	1644	1104
3	4923	1082
0	8247	1082

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
-1
(- (* -2 x) 1)
(- (* x (- (* 2 x) 2)) 1)
(- (* x (- (* x (+ 2 (* -2 x))) 2)) 1)
-3
(- (* 2 (/ 1 x)) 3)
(- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))
-3
(- (* 2 (/ 1 x)) 3)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)
(* -1 x)
(* x (- (* 2 x) 1))
(* x (- (* x (+ 2 (* -2 x))) 1))
(* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))
x
(* x (- 1 (* 2 (/ 1 x))))
(* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))
x
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
-1
(- (* 2 x) 1)
(- (* x (+ 2 (* -2 x))) 1)
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)
1
(- 1 (* 2 (/ 1 x)))
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))
1
(- 1 (* 2 (/ 1 x)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (pow x 2))
(* (pow x 2) (- (* 3 x) 1))
(* (pow x 2) (- (* x (+ 3 (* -9 x))) 1))
(* (pow x 2) (- (* x (+ 3 (* x (- (* 27 x) 9)))) 1))
(* -1/3 x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* x (- (* 1/9 (/ 1 x)) (+ 1/3 (/ 1/27 (pow x 2)))))
(* x (- (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (pow x 3)))) (+ 1/3 (/ 1/27 (pow x 2)))))
(* -1/3 x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x)))))
(/ -1 x)
(/ (- (* -3 x) 1) x)
(/ (- (* -3 x) 1) x)
(/ (- (* -3 x) 1) x)
-3
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
-3
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -3 (pow x 3))
(/ (- (* -1 x) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/ 3 (pow x 3))
(/ (+ 3 x) (pow x 3))
(/ (+ 3 x) (pow x 3))
(/ (+ 3 x) (pow x 3))
(/ 1 (pow x 2))
(/ (+ 1 (* 3 (/ 1 x))) (pow x 2))
(/ (+ 1 (* 3 (/ 1 x))) (pow x 2))
(/ (+ 1 (* 3 (/ 1 x))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* 3 (/ 1 x))) (pow x 2))
(/ (+ 1 (* 3 (/ 1 x))) (pow x 2))
(/ (+ 1 (* 3 (/ 1 x))) (pow x 2))
(/ 3 x)
(/ (+ 3 x) x)
(/ (+ 3 x) x)
(/ (+ 3 x) x)
1
(+ 1 (* 3 (/ 1 x)))
(+ 1 (* 3 (/ 1 x)))
(+ 1 (* 3 (/ 1 x)))
1
(+ 1 (* 3 (/ 1 x)))
(+ 1 (* 3 (/ 1 x)))
(+ 1 (* 3 (/ 1 x)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* x (- (* 2 x) 1))
(* x (- (* x (+ 2 (* -2 x))) 1))
(* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))
x
(* x (- 1 (* 2 (/ 1 x))))
(* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))
x
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(+ 1 (* x (+ 3 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
-1
#s(literal -1 binary64)
(- (* -2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(- (* x (- (* 2 x) 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))
(- (* x (- (* x (+ 2 (* -2 x))) 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))))))
-3
#s(literal -3 binary64)
(- (* 2 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))
(-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x) #s(literal -3 binary64)))
-3
#s(literal -3 binary64)
(- (* 2 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3)
(-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 2 x) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 2 binary64))))
(* x (- (* x (+ 2 (* -2 x))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))))
(* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64))))))))
x
(* x (- 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal -2 binary64))
(* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)))
x
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(+.f64 x #s(literal -2 binary64))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)))
-1
#s(literal -1 binary64)
(- (* 2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)))
(- (* x (+ 2 (* -2 x))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))))
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3 x) 1))
(.f64 x (.f64 x (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))))
(* (pow x 2) (- (* x (+ 3 (* -9 x))) 1))
(.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -9 binary64)))))))
(* (pow x 2) (- (* x (+ 3 (* x (- (* 27 x) 9)))) 1))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -9 binary64) (*.f64 x #s(literal 27 binary64))))))))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* x (- (* 1/9 (/ 1 x)) (+ 1/3 (/ 1/27 (pow x 2)))))
(+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) (.f64 x x)))))
(* x (- (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (pow x 3)))) (+ 1/3 (/ 1/27 (pow x 2)))))
(+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) (.f64 x x))))))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* -1 (* x (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)))))
(-.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x)))))
(-.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/9 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x)))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -3 x) 1) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* -3 x) 1) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* -3 x) 1) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -3 (pow x 3))
(/.f64 #s(literal -3 binary64) (.f64 x (.f64 x x)))
(/ (- (* -1 x) 3) (pow x 3))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) x) x)
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -3 binary64) (.f64 x x))) x)
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -3 binary64) (.f64 x x))) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ 3 (pow x 3))
(/.f64 #s(literal 3 binary64) (.f64 x (.f64 x x)))
(/ (+ 3 x) (pow x 3))
(/.f64 (+.f64 #s(literal 3 binary64) x) (.f64 x (.f64 x x)))
(/ (+ 3 x) (pow x 3))
(/.f64 (+.f64 #s(literal 3 binary64) x) (.f64 x (.f64 x x)))
(/ (+ 3 x) (pow x 3))
(/.f64 (+.f64 #s(literal 3 binary64) x) (.f64 x (.f64 x x)))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (* 3 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) x)
(/ (+ 1 (* 3 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) x)
(/ (+ 1 (* 3 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (* 3 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) x)
(/ (+ 1 (* 3 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) x)
(/ (+ 1 (* 3 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (+ 3 x) x)
(/.f64 (+.f64 #s(literal 3 binary64) x) x)
(/ (+ 3 x) x)
(/.f64 (+.f64 #s(literal 3 binary64) x) x)
(/ (+ 3 x) x)
(/.f64 (+.f64 #s(literal 3 binary64) x) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(+ 1 (* 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(+ 1 (* x (+ 3 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 2 x) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 2 binary64))))
(* x (- (* x (+ 2 (* -2 x))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))))
(* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64))))))))
x
(* x (- 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal -2 binary64))
(* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)))
x
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(+.f64 x #s(literal -2 binary64))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* x (- x 1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))

eval212.0ms (2.1%)

Compiler: Compiled 43172 to 2501 computations (94.2% saved)

prune143.0ms (1.4%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1123	6	1129
Fresh	3	3	6
Picked	1	4	5
Done	1	4	5
Total	1128	17	1145

Accuracy

100.0%

Counts

1145 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(fma.f64 (/.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
✓	55.3%	(/.f64 (-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
✓	55.3%	(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))))
▶	5.5%	(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))))
✓	49.7%	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
	49.9%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64)))
	49.4%	(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
▶	56.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))
✓	49.6%	(/.f64 #s(literal -3 binary64) x)
✓	55.0%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
	55.0%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
✓	49.7%	(-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)))
▶	52.1%	(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
✓	51.5%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
▶	49.4%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
▶	51.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
✓	52.1%	#s(literal 1 binary64)

Compiler

Compiled 378 to 224 computations (40.7% saved)

simplify218.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
✓	cost-diff	0	(+.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x (+.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -1/3 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))

Rules

2306×	`+-lowering-+.f64`
2306×	`+-lowering-+.f32`
2248×	`-lowering-.f32`
2248×	`-lowering-.f64`
1560×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	229
1	93	224
2	205	219
3	607	219
4	1396	219
5	4421	219
0	8166	219

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (+ 1/9 (* x -1/3)))
1
(+ 1/9 (* x -1/3))
1/9
(* x -1/3)
x
-1/3
(* (/ 1 x) -3)
(/ 1 x)
1
x
-3
(+ 1 (* x (+ x 3)))
1
(* x (+ x 3))
x
(+ x 3)
3
(* (+ 1 (* x x)) (+ 1 (* x 3)))
(+ 1 (* x x))
1
(* x x)
x
(+ 1 (* x 3))
(* x 3)
3
(/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (+ (+ 1 (/ (- -2 (/ (+ -2 (/ 2 x)) x)) x)) (/ (* x (+ x -1)) (+ x 1))))
(- (* x (/ (+ x -1) (+ x 1))) (+ x 1))
(* x (/ (+ x -1) (+ x 1)))
x
(/ (+ x -1) (+ x 1))
(+ x -1)
-1
(+ x 1)
1
(+ (+ 1 (/ (- -2 (/ (+ -2 (/ 2 x)) x)) x)) (/ (* x (+ x -1)) (+ x 1)))
(+ 1 (/ (- -2 (/ (+ -2 (/ 2 x)) x)) x))
(/ (- -2 (/ (+ -2 (/ 2 x)) x)) x)
(- -2 (/ (+ -2 (/ 2 x)) x))
-2
(/ (+ -2 (/ 2 x)) x)
(+ -2 (/ 2 x))
(/ 2 x)
2
(/ (* x (+ x -1)) (+ x 1))
(* x (+ x -1))

Outputs
(/ 1 (+ 1/9 (* x -1/3)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))
1
#s(literal 1 binary64)
(+ 1/9 (* x -1/3))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))
1/9
#s(literal 1/9 binary64)
(* x -1/3)
(*.f64 x #s(literal -1/3 binary64))
x
-1/3
#s(literal -1/3 binary64)
(* (/ 1 x) -3)
(/.f64 #s(literal -3 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
-3
#s(literal -3 binary64)
(+ 1 (* x (+ x 3)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(* x (+ x 3))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
x
(+ x 3)
(+.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* (+ 1 (* x x)) (+ 1 (* x 3)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(+ 1 (* x x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(+ 1 (* x 3))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* x 3)
(*.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (+ (+ 1 (/ (- -2 (/ (+ -2 (/ 2 x)) x)) x)) (/ (* x (+ x -1)) (+ x 1))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x))))
(- (* x (/ (+ x -1) (+ x 1))) (+ x 1))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(* x (/ (+ x -1) (+ x 1)))
(/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
x
(/ (+ x -1) (+ x 1))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ (+ 1 (/ (- -2 (/ (+ -2 (/ 2 x)) x)) x)) (/ (* x (+ x -1)) (+ x 1)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)))
(+ 1 (/ (- -2 (/ (+ -2 (/ 2 x)) x)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x))
(/ (- -2 (/ (+ -2 (/ 2 x)) x)) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)
(- -2 (/ (+ -2 (/ 2 x)) x))
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
-2
#s(literal -2 binary64)
(/ (+ -2 (/ 2 x)) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(+ -2 (/ 2 x))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
(/ (* x (+ x -1)) (+ x 1))
(/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(* x (+ x -1))
(*.f64 x (+.f64 x #s(literal -1 binary64)))

localize361.0ms (3.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
✓	accuracy	99.5%	(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))))
✓	accuracy	79.5%	(/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	54.3%	(-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
✓	accuracy	100.0%	(+.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
✓	accuracy	99.9%	(*.f64 x (+.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/3 binary64))

Results

163.0ms	130×	1	valid
103.0ms	116×	0	valid
14.0ms	10×	2	valid

Compiler

Compiled 242 to 38 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-div: 22.0ms (22.9% of total)

ival-mult: 21.0ms (21.9% of total)

ival-add: 19.0ms (19.8% of total)

backward-pass: 16.0ms (16.7% of total)

...c/correct-round.rkt:119:19: 12.0ms (12.5% of total)

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

const: 2.0ms (2.1% of total)

series9.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/ 1 (+ 1/9 (* x -1/3)))>
#<alt (+ 1/9 (* x -1/3))>
#<alt (* x -1/3)>
#<alt (* (/ 1 x) -3)>
#<alt (/ 1 x)>
#<alt (+ 1 (* x (+ x 3)))>
#<alt (* x (+ x 3))>
#<alt (+ x 3)>
#<alt (* (+ 1 (* x x)) (+ 1 (* x 3)))>
#<alt (+ 1 (* x x))>
#<alt (* x x)>
#<alt (+ 1 (* x 3))>
#<alt (/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (+ (+ 1 (/ (- -2 (/ (+ -2 (/ 2 x)) x)) x)) (/ (* x (+ x -1)) (+ x 1))))>
#<alt (- (* x (/ (+ x -1) (+ x 1))) (+ x 1))>
#<alt (* x (/ (+ x -1) (+ x 1)))>
#<alt (/ (+ x -1) (+ x 1))>
#<alt (* x 3)>
#<alt (/ (* x (+ x -1)) (+ x 1))>
#<alt (/ (+ -2 (/ 2 x)) x)>

Outputs
#<alt 9>
#<alt (+ 9 (* 27 x))>
#<alt (+ 9 (* x (+ 27 (* 81 x))))>
#<alt (+ 9 (* x (+ 27 (* x (+ 81 (* 243 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1/3 (pow x 2)) (/ 1 x))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1) x))) x))>
#<alt 1/9>
#<alt (+ 1/9 (* -1/3 x))>
#<alt (+ 1/9 (* -1/3 x))>
#<alt (+ 1/9 (* -1/3 x))>
#<alt (* -1/3 x)>
#<alt (* x (- (* 1/9 (/ 1 x)) 1/3))>
#<alt (* x (- (* 1/9 (/ 1 x)) 1/3))>
#<alt (* x (- (* 1/9 (/ 1 x)) 1/3))>
#<alt (* -1/3 x)>
#<alt (* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 x))>
#<alt (* x (+ 3 x))>
#<alt (* x (+ 3 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt 3>
#<alt (+ 3 x)>
#<alt (+ 3 x)>
#<alt (+ 3 x)>
#<alt x>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (* 3 (pow x 3))>
#<alt (* (pow x 3) (+ 3 (/ 1 x)))>
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))>
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))>
#<alt (* 3 (pow x 3))>
#<alt (* (pow x 3) (+ 3 (/ 1 x)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2 (* 3/2 x)))>
#<alt (* (pow x 3) (+ 1/2 (* x (+ 3/2 (* -1/4 (pow x 2))))))>
#<alt (* (pow x 3) (+ 1/2 (* x (+ 3/2 (* (pow x 2) (- (* -3/4 x) 1/4))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt -1>
#<alt (- (* -2 x) 1)>
#<alt (- (* x (- (* 2 x) 2)) 1)>
#<alt (- (* x (- (* x (+ 2 (* -2 x))) 2)) 1)>
#<alt -3>
#<alt (- (* 2 (/ 1 x)) 3)>
#<alt (- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))>
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))>
#<alt -3>
#<alt (- (* 2 (/ 1 x)) 3)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 x) 1))>
#<alt (* x (- (* x (+ 2 (* -2 x))) 1))>
#<alt (* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))>
#<alt -1>
#<alt (- (* 2 x) 1)>
#<alt (- (* x (+ 2 (* -2 x))) 1)>
#<alt (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 x) 1))>
#<alt (* x (- (* x (+ 2 (* -2 x))) 1))>
#<alt (* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* -2 x)) (pow x 2))>
#<alt (/ (+ 2 (* -2 x)) (pow x 2))>
#<alt (/ (+ 2 (* -2 x)) (pow x 2))>
#<alt (/ -2 x)>
#<alt (/ (- (* 2 (/ 1 x)) 2) x)>
#<alt (/ (- (* 2 (/ 1 x)) 2) x)>
#<alt (/ (- (* 2 (/ 1 x)) 2) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (- 2 (* 2 (/ 1 x))) x))>
#<alt (* -1 (/ (- 2 (* 2 (/ 1 x))) x))>
#<alt (* -1 (/ (- 2 (* 2 (/ 1 x))) x))>

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (+ -2 (/ 2 x)) x)
0.0ms	x	@	-inf	(/ (+ -2 (/ 2 x)) x)
0.0ms	x	@	0	(/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (+ (+ 1 (/ (- -2 (/ (+ -2 (/ 2 x)) x)) x)) (/ (* x (+ x -1)) (+ x 1))))
0.0ms	x	@	0	(/ (+ -2 (/ 2 x)) x)
0.0ms	x	@	inf	(* x -1/3)

rewrite363.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3154×	`fma-lowering-fma.f32`
3154×	`fma-lowering-fma.f64`
2644×	`-lowering-.f32`
2644×	`-lowering-.f64`
1884×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	137
1	277	132
2	2873	129
0	8174	129

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 449

Calls

Call 1

Inputs
(/ 1 (+ 1/9 (* x -1/3)))
(+ 1/9 (* x -1/3))
(* x -1/3)
(* (/ 1 x) -3)
(/ 1 x)
(+ 1 (* x (+ x 3)))
(* x (+ x 3))
(+ x 3)
(* (+ 1 (* x x)) (+ 1 (* x 3)))
(+ 1 (* x x))
(* x x)
(+ 1 (* x 3))
(/ (- (* x (/ (+ x -1) (+ x 1))) (+ x 1)) (+ (+ 1 (/ (- -2 (/ (+ -2 (/ 2 x)) x)) x)) (/ (* x (+ x -1)) (+ x 1))))
(- (* x (/ (+ x -1) (+ x 1))) (+ x 1))
(* x (/ (+ x -1) (+ x 1)))
(/ (+ x -1) (+ x 1))
(* x 3)
(/ (* x (+ x -1)) (+ x 1))
(/ (+ -2 (/ 2 x)) x)

Outputs
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))))))
(.f64 (pow.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/81 binary64) (.f64 #s(literal 1/9 binary64) (.f64 x x)))) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))))
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(/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))) x))
(/.f64 (.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)))
(pow.f64 (/.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (/.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))))))
(.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))))

simplify337.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

3918×	`-lowering-.f32`
3918×	`-lowering-.f64`
2460×	`fma-lowering-fma.f32`
2460×	`fma-lowering-fma.f64`
1838×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	203	1352
1	652	1173
2	1942	1122
3	7093	1121
0	8644	1121

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
9
(+ 9 (* 27 x))
(+ 9 (* x (+ 27 (* 81 x))))
(+ 9 (* x (+ 27 (* x (+ 81 (* 243 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1/3 (pow x 2)) (/ 1 x))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1) x))) x))
1/9
(+ 1/9 (* -1/3 x))
(+ 1/9 (* -1/3 x))
(+ 1/9 (* -1/3 x))
(* -1/3 x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* -1/3 x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* 3 x)
(* x (+ 3 x))
(* x (+ 3 x))
(* x (+ 3 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
3
(+ 3 x)
(+ 3 x)
(+ 3 x)
x
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
x
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(* 3 (pow x 3))
(* (pow x 3) (+ 3 (/ 1 x)))
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(* 3 (pow x 3))
(* (pow x 3) (+ 3 (/ 1 x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* 3/2 x)))
(* (pow x 3) (+ 1/2 (* x (+ 3/2 (* -1/4 (pow x 2))))))
(* (pow x 3) (+ 1/2 (* x (+ 3/2 (* (pow x 2) (- (* -3/4 x) 1/4))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
-1
(- (* -2 x) 1)
(- (* x (- (* 2 x) 2)) 1)
(- (* x (- (* x (+ 2 (* -2 x))) 2)) 1)
-3
(- (* 2 (/ 1 x)) 3)
(- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))
-3
(- (* 2 (/ 1 x)) 3)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)
(* -1 x)
(* x (- (* 2 x) 1))
(* x (- (* x (+ 2 (* -2 x))) 1))
(* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))
x
(* x (- 1 (* 2 (/ 1 x))))
(* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))
x
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
-1
(- (* 2 x) 1)
(- (* x (+ 2 (* -2 x))) 1)
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)
1
(- 1 (* 2 (/ 1 x)))
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))
1
(- 1 (* 2 (/ 1 x)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -1 x)
(* x (- (* 2 x) 1))
(* x (- (* x (+ 2 (* -2 x))) 1))
(* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))
x
(* x (- 1 (* 2 (/ 1 x))))
(* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))
x
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
(/ 2 (pow x 2))
(/ (+ 2 (* -2 x)) (pow x 2))
(/ (+ 2 (* -2 x)) (pow x 2))
(/ (+ 2 (* -2 x)) (pow x 2))
(/ -2 x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/ -2 x)
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))

Outputs
9
#s(literal 9 binary64)
(+ 9 (* 27 x))
(+.f64 #s(literal 9 binary64) (*.f64 #s(literal 27 binary64) x))
(+ 9 (* x (+ 27 (* 81 x))))
(+.f64 #s(literal 9 binary64) (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x #s(literal 81 binary64)))))
(+ 9 (* x (+ 27 (* x (+ 81 (* 243 x))))))
(+.f64 #s(literal 9 binary64) (.f64 x (+.f64 #s(literal 27 binary64) (.f64 x (+.f64 #s(literal 81 binary64) (*.f64 x #s(literal 243 binary64)))))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) (pow x 2))) (+ 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1/3 (pow x 2)) (/ 1 x))) x))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1) x))) x))
(/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1/3 x))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))
(+ 1/9 (* -1/3 x))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))
(+ 1/9 (* -1/3 x))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 1 (* x (+ 3 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(+ 1 (* x (+ 3 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 x))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* x (+ 3 x))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* x (+ 3 x))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
3
#s(literal 3 binary64)
(+ 3 x)
(+.f64 x #s(literal 3 binary64))
(+ 3 x)
(+.f64 x #s(literal 3 binary64))
(+ 3 x)
(+.f64 x #s(literal 3 binary64))
x
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
x
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 x #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 1 (* x (+ 3 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(* 3 (pow x 3))
(.f64 x (.f64 #s(literal 3 binary64) (*.f64 x x)))
(* (pow x 3) (+ 3 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(.f64 x (+.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 3 (pow x 3))
(.f64 x (.f64 #s(literal 3 binary64) (*.f64 x x)))
(* (pow x 3) (+ 3 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))
(.f64 x (.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(* 1/2 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/2 binary64))
(* (pow x 3) (+ 1/2 (* 3/2 x)))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 3/2 binary64)))))
(* (pow x 3) (+ 1/2 (* x (+ 3/2 (* -1/4 (pow x 2))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64)))))))
(* (pow x 3) (+ 1/2 (* x (+ 3/2 (* (pow x 2) (- (* -3/4 x) 1/4))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal -3/4 binary64))))))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -3 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x))
-1
#s(literal -1 binary64)
(- (* -2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(- (* x (- (* 2 x) 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64)))))
(- (* x (- (* x (+ 2 (* -2 x))) 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))))))
-3
#s(literal -3 binary64)
(- (* 2 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))
(-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x) #s(literal -3 binary64)))
-3
#s(literal -3 binary64)
(- (* 2 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3)
(-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 2 x) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 2 binary64))))
(* x (- (* x (+ 2 (* -2 x))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))))
(* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64))))))))
x
(* x (- 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal -2 binary64))
(* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)))
x
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(+.f64 x #s(literal -2 binary64))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
(+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)))
-1
#s(literal -1 binary64)
(- (* 2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)))
(- (* x (+ 2 (* -2 x))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))))
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 2 x) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 2 binary64))))
(* x (- (* x (+ 2 (* -2 x))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))))))
(* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64))))))))
x
(* x (- 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal -2 binary64))
(* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)))
x
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(+.f64 x #s(literal -2 binary64))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
(+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* -2 x)) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) x) x)
(/ (+ 2 (* -2 x)) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) x) x)
(/ (+ 2 (* -2 x)) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) x) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)

eval105.0ms (1%)

Compiler: Compiled 24393 to 1642 computations (93.3% saved)

prune111.0ms (1.1%)

Pruning

16 alts after pruning (4 fresh and 12 done)

	Pruned	Kept	Total
New	676	1	677
Fresh	1	3	4
Picked	1	4	5
Done	0	8	8
Total	678	16	694

Accuracy

100.0%

Counts

694 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.3%	(/.f64 (-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
✓	55.3%	(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))))
	5.6%	(/.f64 (-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
✓	49.7%	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
	49.9%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64)))
	49.4%	(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
✓	56.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))
✓	49.6%	(/.f64 #s(literal -3 binary64) x)
✓	55.0%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
	55.0%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
✓	49.7%	(-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)))
✓	52.1%	(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
✓	51.5%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
✓	49.4%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
✓	51.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
✓	52.1%	#s(literal 1 binary64)

Compiler

Compiled 750 to 234 computations (68.8% saved)

regimes69.0ms (0.7%)

Counts

27 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
(-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(-.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (.f64 x (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (fma.f64 (/.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))))

Outputs

(-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)))

(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))

Calls

2 calls:

59.0ms	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
8.0ms	x

Results

Accuracy	Segments	Branch
100.0%	3	`x`
99.8%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 16 to 8 computations (50% saved)

regimes5.0ms (0%)

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
(-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Outputs

(-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)))

(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Calls

1 calls:

4.0ms

(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.8%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 7 computations (50% saved)

regimes23.0ms (0.2%)

Counts

15 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
(-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)))

Outputs

(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)

(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))

(-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

14 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)

Outputs

(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)

(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))

(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

13 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))

Outputs

(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64)))

(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))

(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

11 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64)))

Outputs

(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64)))

(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))

(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes21.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))

Outputs

(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)

(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))

(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

8 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))

Outputs

(/.f64 #s(literal -3 binary64) x)

(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))

(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))

Outputs
(/.f64 #s(literal -3 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal -3 binary64) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))

Outputs
(/.f64 #s(literal -3 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal -3 binary64) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))

Outputs
(/.f64 #s(literal -3 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal -3 binary64) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (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

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
52.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.958436434307714e-6	0.7816790575697022

Compiler

Compiled 18 to 10 computations (44.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.958436434307714e-6	0.7816790575697022

Compiler

Compiled 18 to 10 computations (44.4% saved)

bsearch29.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.635719130784263e-7	918.3232803033445
12.0ms	-3.7636837288346685	-0.028285725527889452

Results

18.0ms

256×

valid

Compiler

Compiled 452 to 323 computations (28.5% saved)

Precisions

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

ival-div: 4.0ms (41.3% of total)

ival-sub: 4.0ms (41.3% of total)

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

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.635719130784263e-7	918.3232803033445
11.0ms	-3.7636837288346685	-0.028285725527889452

Results

20.0ms

256×

valid

Compiler

Compiled 434 to 314 computations (27.6% saved)

Precisions

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

ival-div: 4.0ms (47.6% of total)

ival-sub: 2.0ms (23.8% of total)

ival-add: 2.0ms (23.8% of total)

const: 0.0ms (0% of total)

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

bsearch46.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.635719130784263e-7	918.3232803033445
16.0ms	-3.7636837288346685	-0.028285725527889452

Results

16.0ms

256×

valid

Compiler

Compiled 402 to 298 computations (25.9% saved)

Precisions

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

ival-div: 4.0ms (47.1% of total)

ival-sub: 2.0ms (23.6% of total)

ival-add: 2.0ms (23.6% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	5.635719130784263e-7	918.3232803033445
11.0ms	-3.7636837288346685	-0.028285725527889452

Results

26.0ms

256×

valid

Compiler

Compiled 338 to 266 computations (21.3% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.635719130784263e-7	918.3232803033445
12.0ms	-3.7636837288346685	-0.028285725527889452

Results

16.0ms

256×

valid

Compiler

Compiled 306 to 234 computations (23.5% saved)

Precisions

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

ival-div: 4.0ms (47.1% of total)

ival-sub: 2.0ms (23.6% of total)

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

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	5.635719130784263e-7	918.3232803033445
12.0ms	-3.7636837288346685	-0.028285725527889452

Results

16.0ms

256×

valid

Compiler

Compiled 278 to 222 computations (20.1% saved)

Precisions

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

ival-div: 4.0ms (48.2% of total)

ival-sub: 2.0ms (24.1% of total)

ival-add: 1.0ms (12% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	5.635719130784263e-7	918.3232803033445
11.0ms	-3.7636837288346685	-0.028285725527889452

Results

28.0ms

256×

valid

Compiler

Compiled 242 to 186 computations (23.1% saved)

Precisions

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

ival-div: 4.0ms (47.8% of total)

ival-sub: 2.0ms (23.9% of total)

ival-add: 2.0ms (23.9% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	5.635719130784263e-7	918.3232803033445
11.0ms	-3.7636837288346685	-0.028285725527889452

Results

22.0ms

256×

valid

Compiler

Compiled 210 to 170 computations (19% saved)

Precisions

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

ival-div: 10.0ms (68.4% of total)

ival-sub: 2.0ms (13.7% of total)

ival-add: 2.0ms (13.7% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.635719130784263e-7	918.3232803033445
18.0ms	-3.7636837288346685	-0.028285725527889452

Results

23.0ms

256×

valid

Compiler

Compiled 146 to 122 computations (16.4% saved)

Precisions

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

ival-div: 4.0ms (43.8% of total)

ival-sub: 3.0ms (32.9% of total)

ival-add: 2.0ms (21.9% of total)

const: 0.0ms (0% of total)

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

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

56×	`+-commutative_binary64`
38×	`sub-neg_binary64`
36×	`*-commutative_binary64`
30×	`neg-sub0_binary64`
30×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	312
1	117	312
2	152	312
3	192	312
4	218	312
5	228	312
6	232	312
7	233	312

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5902958103587057/590295810358705651712 binary64)) (-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (.f64 x x))) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5902958103587057/590295810358705651712 binary64)) (-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x))) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (.f64 x x)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -5944751508129055/18014398509481984 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)))
#s(literal 1 binary64)

Outputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5902958103587057/590295810358705651712 binary64)) (-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (.f64 x x))) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 5902958103587057/590295810358705651712 binary64)) (+.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) (.f64 x x))) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5902958103587057/590295810358705651712 binary64)) (-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x))) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 5902958103587057/590295810358705651712 binary64)) (+.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 x x))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (.f64 x x)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) (.f64 x x)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) (if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64))) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -5944751508129055/18014398509481984 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 x #s(literal -5944751508129055/18014398509481984 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)))
#s(literal 1 binary64)

soundness1.8s (18%)

Rules

4808×	`-lowering-.f32`
4808×	`-lowering-.f64`
4650×	`/-lowering-/.f32`
4650×	`/-lowering-/.f64`
4192×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	307
1	288	282
2	725	272
3	1877	266
4	5360	266
0	8065	266
0	22	118
1	169	101
2	1834	98
0	8569	98
0	7	28
1	62	28
2	733	28
0	8181	28
0	187	1296
1	583	1207
2	1644	1104
3	4923	1082
0	8247	1082

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

Compiler

Compiled 595 to 245 computations (58.8% saved)

preprocess115.0ms (1.1%)

Compiler: Compiled 730 to 158 computations (78.4% saved)

analyze4.0ms (0%)

sample1.4s (13.9%)

preprocess168.0ms (1.6%)

explain173.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify82.0ms (0.8%)

localize94.0ms (0.9%)

series3.0ms (0%)

rewrite462.0ms (4.5%)

simplify296.0ms (2.9%)

eval81.0ms (0.8%)

prune98.0ms (1%)

simplify277.0ms (2.7%)

localize232.0ms (2.3%)

series8.0ms (0.1%)

rewrite559.0ms (5.5%)

simplify281.0ms (2.7%)

eval188.0ms (1.8%)

prune119.0ms (1.2%)

simplify239.0ms (2.3%)

localize378.0ms (3.7%)

series6.0ms (0.1%)

rewrite470.0ms (4.6%)

simplify296.0ms (2.9%)

eval212.0ms (2.1%)

prune143.0ms (1.4%)

simplify218.0ms (2.1%)

localize361.0ms (3.5%)

series9.0ms (0.1%)

rewrite363.0ms (3.5%)

simplify337.0ms (3.3%)

eval105.0ms (1%)

prune111.0ms (1.1%)

regimes69.0ms (0.7%)

regimes5.0ms (0%)

regimes23.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes21.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch29.0ms (0.3%)

bsearch31.0ms (0.3%)

bsearch46.0ms (0.5%)

bsearch37.0ms (0.4%)

bsearch28.0ms (0.3%)

bsearch35.0ms (0.3%)

bsearch38.0ms (0.4%)

bsearch33.0ms (0.3%)

bsearch35.0ms (0.3%)

simplify23.0ms (0.2%)

soundness1.8s (18%)

preprocess115.0ms (1.1%)

end0.0ms (0%)

Profiling