Metrics for Asymptote B

analyze3.0ms (0.1%)

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 13 to 8 computations (38.5% saved)

Precisions

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

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

ival-div: 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)

sample866.0ms (15.2%)

Results

633.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 400.0ms

ival-div: 197.0ms (49.3% of total)

ival-add: 111.0ms (27.8% of total)

ival-sub: 79.0ms (19.8% of total)

const: 10.0ms (2.5% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess35.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

706×	`fnmadd-define`
550×	`sum3-define`
492×	`fma-define`
388×	`fmsub-define`
382×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	35	32
2	75	30
3	170	30
4	415	30
5	977	30
6	1802	30
7	2267	30
8	2303	30
0	7	10
1	15	10
2	16	10
0	16	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain99.0ms (1.7%)

FPErrors

Click to see full error table

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

Results

46.0ms

512×

valid

Compiler

Compiled 74 to 23 computations (68.9% saved)

Precisions

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

ival-div: 7.0ms (42.2% of total)

ival-add: 5.0ms (30.2% of total)

ival-sub: 3.0ms (18.1% of total)

const: 1.0ms (6% of total)

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

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

12×	`+-lowering-+.f64`
12×	`+-lowering-+.f32`
6×	`+-commutative`
4×	`/-lowering-/.f32`
4×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
1	15	27
2	16	27
0	16	27

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize30.0ms (0.5%)

Localize:

Found 4 expressions of interest:

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

Results

21.0ms

256×

valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 6.0ms (50.2% of total)

ival-div: 4.0ms (33.4% of total)

ival-sub: 2.0ms (16.7% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 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 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)))>

Calls

15 calls:

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

rewrite317.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3192×	`-lowering-.f32`
3192×	`-lowering-.f64`
3160×	`/-lowering-/.f32`
3160×	`/-lowering-/.f64`
1740×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
1	62	25
2	731	25
0	9114	25

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 286

Calls

Call 1

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

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

simplify192.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1974×	`sum3-define`
1912×	`-lowering-.f32`
1912×	`-lowering-.f64`
1824×	`fnmsub-define`
1388×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	351
1	240	335
2	592	327
3	1588	320
4	4731	320
0	8281	320

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 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)))
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)))

Outputs
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x)))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (+.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)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (+.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)) x)
-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)
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 #s(literal -1 binary64) x))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
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 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.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
(* 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))

eval42.0ms (0.7%)

Compiler: Compiled 7984 to 974 computations (87.8% saved)

prune62.0ms (1.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	337	9	346
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	337	10	347

Accuracy

100.0%

Counts

347 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.6%	(/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 (.f64 x x) #s(literal -1 binary64)))
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
▶	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
▶	56.5%	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 x #s(literal 1 binary64))))
	45.3%	(+.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 x (+.f64 x #s(literal 1 binary64))))
▶	56.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
	44.8%	(+.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
▶	43.7%	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
	56.0%	#s(literal 1 binary64)
▶	44.0%	#s(literal -1 binary64)

Compiler

Compiled 168 to 113 computations (32.7% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

92×	`-lowering-.f32`
92×	`-lowering-.f64`
82×	`fma-define`
60×	`fma-lowering-fma.f32`
60×	`/-lowering-/.f32`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	20	92
1	39	90
2	51	88
3	58	88
4	92	88
5	110	88
6	120	88
7	134	87
8	161	87
9	172	87
10	182	87
11	192	87
12	194	87
0	194	87

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize89.0ms (1.5%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓	accuracy	99.1%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal -2 binary64) (.f64 x x))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))

Results

63.0ms

256×

valid

Compiler

Compiled 99 to 21 computations (78.8% saved)

Precisions

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

ival-div: 19.0ms (59.3% of total)

ival-add: 7.0ms (21.8% of total)

ival-mult: 4.0ms (12.5% of total)

ival-sub: 2.0ms (6.2% of total)

const: 1.0ms (3.1% of total)

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

series6.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

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

Outputs
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<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) 1)>
#<alt (- (* x (- (* -1 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 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 (- (* -2 (pow x 2)) 1)>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (* -2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (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 (/ 2 (pow x 2))>
#<alt (/ (+ 2 (pow x 2)) (pow x 2))>
#<alt (/ (+ 2 (pow x 2)) (pow x 2))>
#<alt (/ (+ 2 (pow x 2)) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1 (* -1 x)))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1 (* x (- x 1))))) x)>
#<alt 1>
#<alt (+ 1 (/ 1 (pow x 2)))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 3)))>
#<alt (- (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))>
#<alt 1>
#<alt (+ 1 (/ 1 (pow x 2)))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 3)))>
#<alt (+ 1 (+ (* -1 (/ (- 1 (/ 1 x)) (pow x 3))) (/ 1 (pow x 2))))>
#<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 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 x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+ (/ 1 x) (/ x (+ x 1)))
0.0ms	x	@	inf	(+ -1 (* -2 (* x x)))
0.0ms	x	@	-inf	(/ (+ 1 x) x)
0.0ms	x	@	inf	(* -2 (* x x))
0.0ms	x	@	0	(/ 2 (* x x))

rewrite436.0ms (7.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3852×	`/-lowering-/.f32`
3852×	`/-lowering-/.f64`
3088×	`-lowering-.f32`
3088×	`-lowering-.f64`
1980×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	72
1	166	70
2	1954	70
0	8941	70

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 679

Calls

Call 1

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

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

simplify229.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1992×	`-lowering-.f32`
1992×	`-lowering-.f64`
1614×	`--lowering--.f32`
1614×	`--lowering--.f64`
1506×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	910
1	312	880
2	832	862
3	2284	841
4	6508	841
0	8158	841

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
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) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 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
(- (* -2 (pow x 2)) 1)
(- (* -2 (pow x 2)) 1)
(- (* -2 (pow x 2)) 1)
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -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)
(pow x 2)
(/ 2 (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 1 x)
(/ (+ 1 (pow x 2)) x)
(/ (+ 1 (* (pow x 2) (+ 1 (* -1 x)))) x)
(/ (+ 1 (* (pow x 2) (+ 1 (* x (- x 1))))) x)
1
(+ 1 (/ 1 (pow x 2)))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 3)))
(- (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))
1
(+ 1 (/ 1 (pow x 2)))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 3)))
(+ 1 (+ (* -1 (/ (- 1 (/ 1 x)) (pow x 3))) (/ 1 (pow x 2))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 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 x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))

Outputs
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
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 #s(literal -1 binary64) x))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
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) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x)))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (-.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)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.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)) x)
-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)
(- (* -2 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(- (* -2 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(- (* -2 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 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)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (pow x 2)) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) x) x)
(/ (+ 2 (pow x 2)) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) x) x)
(/ (+ 2 (pow x 2)) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (pow x 2)) x)
(/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1 (* -1 x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) x)))) x)
(/ (+ 1 (* (pow x 2) (+ 1 (* x (- x 1))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x))))) x)
1
#s(literal 1 binary64)
(+ 1 (/ 1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 3)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))
(- (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 3)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))
(+ 1 (+ (* -1 (/ (- 1 (/ 1 x)) (pow x 3))) (/ 1 (pow x 2))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 x 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)
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 #s(literal -1 binary64) x))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
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 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.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
(* 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))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.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 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.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 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))

eval171.0ms (3%)

Compiler: Compiled 16445 to 2074 computations (87.4% saved)

prune130.0ms (2.3%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	864	3	867
Fresh	2	2	4
Picked	0	5	5
Done	0	1	1
Total	866	11	877

Accuracy

100.0%

Counts

877 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(/.f64 (+.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x x) #s(literal -1 binary64)))
▶	3.0%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
▶	3.3%	(/.f64 #s(literal 1 binary64) x)
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
✓	56.5%	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	56.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
▶	44.8%	(+.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	43.7%	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
▶	56.0%	#s(literal 1 binary64)
✓	44.0%	#s(literal -1 binary64)

Compiler

Compiled 126 to 85 computations (32.5% saved)

simplify214.0ms (3.7%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	128	(/.f64 (+.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x x) #s(literal -1 binary64)))
✓	cost-diff	256	(+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))

Rules

2100×	`sum4-define`
1842×	`+-lowering-+.f64`
1842×	`+-lowering-+.f32`
1612×	`--lowering--.f32`
1612×	`--lowering--.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	75
1	38	75
2	84	75
3	156	70
4	333	66
5	850	66
6	3332	66
0	8515	66

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize125.0ms (2.2%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	48.8%	(+.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.1%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	75.4%	(/.f64 (+.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x x) #s(literal -1 binary64)))

Results

78.0ms	140×	1	valid
21.0ms	116×	0	valid

Compiler

Compiled 82 to 17 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-add: 12.0ms (34.2% of total)

ival-div: 11.0ms (31.3% of total)

ival-mult: 6.0ms (17.1% of total)

backward-pass: 6.0ms (17.1% of total)

const: 1.0ms (2.8% of total)

series3.0ms (0%)

Counts

11 → 132

Calls

Call 1

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

Outputs
#<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 -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<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)))>
#<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 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 (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (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 (- x 1)>
#<alt (- (* x (+ 1 (* -1 x))) 1)>
#<alt (- (* x (+ 1 (* x (- x 1)))) 1)>
#<alt (/ -1 x)>
#<alt (/ (- (/ 1 x) 1) x)>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (- 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) 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 (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<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))))>

Calls

33 calls:

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

rewrite403.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4520×	`/-lowering-/.f32`
4520×	`/-lowering-/.f64`
3634×	`-lowering-.f32`
3634×	`-lowering-.f64`
2140×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	129	55
2	1257	55
0	8600	55

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 643

Calls

Call 1

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

Outputs
(+.f64 x (+.f64 (*.f64 x (+.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 #s(literal 1 binary64) (+.f64 x (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal 1 binary64))))
(+.f64 (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
(+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(+.f64 (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) x) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (.f64 x (+.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 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 x #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 x #s(literal -1 binary64))) (.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal -1 binary64))))))
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (.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))))))
(pow.f64 (/.f64 (+.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))) (/.f64 #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 #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 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x x))) (/.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 #s(literal -1 binary64) (.f64 x x))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) (/.f64 #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 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.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) #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 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 x x #s(literal -1 binary64))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (neg.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 x #s(literal -1 binary64))) (-.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (+.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x (.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 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #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 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))

simplify228.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2708×	`-lowering-.f32`
2708×	`-lowering-.f64`
2064×	`sum3-define`
1600×	`div-sub`
1420×	`--lowering--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	78	629
1	222	589
2	554	588
3	1457	572
4	5212	568
0	8561	568

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
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))))
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(* -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)))
-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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 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)
(pow x 2)
-1
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
(/ -1 x)
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/ -1 x)
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) 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
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(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))))

Outputs
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))
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* -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)))
-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 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)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 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)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* -1 x))) 1)
(-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(- (* x (+ 1 (* x (- x 1)))) 1)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal -1 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ 1 x) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (+.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)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(/.f64 (+.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)) 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)
(- (pow x 2) 1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(- (pow x 2) 1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(- (pow x 2) 1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))

eval124.0ms (2.2%)

Compiler: Compiled 25448 to 2595 computations (89.8% saved)

prune143.0ms (2.5%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	796	1	797
Fresh	0	0	0
Picked	0	5	5
Done	0	6	6
Total	796	12	808

Accuracy

100.0%

Counts

808 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(/.f64 (+.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x x) #s(literal -1 binary64)))
✓	3.0%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	3.3%	(/.f64 #s(literal 1 binary64) x)
▶	43.3%	(-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
✓	56.5%	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	56.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓	44.8%	(+.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	43.7%	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
✓	56.0%	#s(literal 1 binary64)
✓	44.0%	#s(literal -1 binary64)

Compiler

Compiled 98 to 65 computations (33.7% saved)

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

358×	`fnmadd-define`
316×	`fma-lowering-fma.f32`
316×	`fma-lowering-fma.f64`
310×	`fnmsub-define`
308×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	17
1	17	17
2	50	16
3	122	15
4	324	15
5	891	15
6	1350	15
7	1419	15
8	1427	15
0	1427	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize22.0ms (0.4%)

Localize:

Found 3 expressions of interest:

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

Results

15.0ms

256×

valid

Compiler

Compiled 19 to 6 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 2.0ms (37.3% of total)

ival-mult: 2.0ms (37.3% of total)

ival-sub: 1.0ms (18.7% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite294.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2104×	`-lowering-.f32`
2104×	`-lowering-.f64`
1734×	`fma-lowering-fma.f32`
1734×	`fma-lowering-fma.f64`
1708×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	39	15
2	349	14
3	4346	13
0	8486	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 194

Calls

Call 1

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

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

simplify126.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1308×	`fmsub-define`
1308×	`div-sub`
1306×	`fnmsub-define`
1272×	`--lowering--.f32`
1272×	`--lowering--.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	153
1	76	147
2	181	139
3	500	130
4	1937	130
5	6883	130
0	8075	130

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval26.0ms (0.5%)

Compiler: Compiled 5843 to 637 computations (89.1% saved)

prune43.0ms (0.8%)

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	229	1	230
Fresh	0	0	0
Picked	0	1	1
Done	0	11	11
Total	229	13	242

Accuracy

100.0%

Counts

242 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(/.f64 (+.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x x) #s(literal -1 binary64)))
✓	3.0%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	3.3%	(/.f64 #s(literal 1 binary64) x)
✓	43.3%	(-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
	43.7%	(-.f64 #s(literal -1 binary64) (*.f64 x x))
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
✓	56.5%	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	56.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓	44.8%	(+.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	43.7%	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
✓	56.0%	#s(literal 1 binary64)
✓	44.0%	#s(literal -1 binary64)

Compiler

Compiled 220 to 103 computations (53.2% saved)

regimes21.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
5.0ms	x

Results

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes5.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.4%	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
44.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch49.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	0.06734514231954161	6099.077133639097
6.0ms	-1.0528024972411394	-0.5415174785348327

Results

41.0ms

208×

valid

Compiler

Compiled 250 to 192 computations (23.2% saved)

Precisions

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

ival-div: 33.0ms (91.8% of total)

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

ival-sub: 1.0ms (2.8% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.06734514231954161	6099.077133639097
5.0ms	-1.0528024972411394	-0.5415174785348327

Results

17.0ms

208×

valid

Compiler

Compiled 172 to 140 computations (18.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 8.0ms (62.3% of total)

ival-div: 3.0ms (23.4% of total)

ival-sub: 1.0ms (7.8% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.06734514231954161	6099.077133639097
6.0ms	-1.0528024972411394	-0.5415174785348327

Results

17.0ms

208×

valid

Compiler

Compiled 146 to 114 computations (21.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 9.0ms (74.9% of total)

ival-add: 2.0ms (16.6% of total)

ival-sub: 1.0ms (8.3% of total)

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	0.06734514231954161	6099.077133639097
5.0ms	-1.0528024972411394	-0.5415174785348327

Results

11.0ms

208×

valid

Compiler

Compiled 94 to 88 computations (6.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 3.0ms (46.6% of total)

ival-add: 2.0ms (31.1% of total)

ival-sub: 1.0ms (15.5% of total)

const: 0.0ms (0% of total)

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

simplify21.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`*-commutative_binary64`
8×	`if-if-or-not_binary32`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	78
1	47	78
2	56	78
3	65	78
4	67	78

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

soundness941.0ms (16.5%)

Rules

2708×	`-lowering-.f32`
2708×	`-lowering-.f64`
2064×	`sum3-define`
1974×	`sum3-define`
1912×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	351
1	240	335
2	592	327
3	1588	320
4	4731	320
0	8281	320
0	78	629
1	222	589
2	554	588
3	1457	572
4	5212	568
0	8561	568
0	28	153
1	76	147
2	181	139
3	500	130
4	1937	130
5	6883	130
0	8075	130

Stop Event

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

Compiler

Compiled 141 to 69 computations (51.1% saved)

preprocess41.0ms (0.7%)

Compiler: Compiled 194 to 66 computations (66% saved)

Iter	Nodes	Cost
0	20	92
1	39	90
2	51	88
3	58	88
4	92	88
5	110	88
6	120	88
7	134	87
8	161	87
9	172	87
10	182	87
11	192	87
12	194	87
0	194	87

Iter	Nodes	Cost
0	20	92
1	39	90
2	51	88
3	58	88
4	92	88
5	110	88
6	120	88
7	134	87
8	161	87
9	172	87
10	182	87
11	192	87
12	194	87
0	194	87

analyze3.0ms (0.1%)

sample866.0ms (15.2%)

preprocess35.0ms (0.6%)

explain99.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize30.0ms (0.5%)

series3.0ms (0%)

rewrite317.0ms (5.6%)

simplify192.0ms (3.4%)

eval42.0ms (0.7%)

prune62.0ms (1.1%)

simplify15.0ms (0.3%)

localize89.0ms (1.5%)

series6.0ms (0.1%)

rewrite436.0ms (7.6%)

simplify229.0ms (4%)

eval171.0ms (3%)

prune130.0ms (2.3%)

simplify214.0ms (3.7%)

localize125.0ms (2.2%)

series3.0ms (0%)

rewrite403.0ms (7.1%)

simplify228.0ms (4%)

eval124.0ms (2.2%)

prune143.0ms (2.5%)

simplify56.0ms (1%)

localize22.0ms (0.4%)

series1.0ms (0%)

rewrite294.0ms (5.2%)

simplify126.0ms (2.2%)

eval26.0ms (0.5%)

prune43.0ms (0.8%)

regimes21.0ms (0.4%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch49.0ms (0.9%)

bsearch26.0ms (0.5%)

bsearch25.0ms (0.4%)

bsearch36.0ms (0.6%)

simplify21.0ms (0.4%)

soundness941.0ms (16.5%)

preprocess41.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	92
1	39	90
2	51	88
3	58	88
4	92	88
5	110	88
6	120	88
7	134	87
8	161	87
9	172	87
10	182	87
11	192	87
12	194	87
0	194	87