Metrics for Asymptote B

analyze4.0ms (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-div: 1.0ms (79.2% of total)

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

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

const: 0.0ms (0% of total)

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

sample971.0ms (21.4%)

Results

695.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 364.0ms

ival-div: 204.0ms (56% of total)

ival-add: 89.0ms (24.4% of total)

ival-sub: 57.0ms (15.6% of total)

const: 11.0ms (3% of total)

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

Bogosity

preprocess57.0ms (1.3%)

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)))

explain97.0ms (2.1%)

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

59.0ms

512×

valid

Compiler

Compiled 74 to 23 computations (68.9% saved)

Precisions

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

ival-div: 17.0ms (63.6% of total)

ival-add: 5.0ms (18.7% of total)

ival-sub: 3.0ms (11.2% of total)

const: 1.0ms (3.7% 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)

simplify5.0ms (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)

localize59.0ms (1.3%)

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

49.0ms

256×

valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

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

ival-sub: 27.0ms (80.9% of total)

ival-div: 4.0ms (12% of total)

ival-add: 2.0ms (6% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

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	(/ x (+ x 1))
0.0ms	x	@	-inf	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
0.0ms	x	@	inf	(- x 1)

rewrite272.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`sum4-define`
1770×	`sum5-define`
1758×	`sum3-define`
1548×	`/-lowering-/.f32`
1548×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
1	33	25
2	209	25
3	994	25
4	4909	25
0	8032	25

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 259

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 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 (/.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 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.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 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(+.f64 (/.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (.f64 (+.f64 #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) x))))
(+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))) (/.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (.f64 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) x)) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (+.f64 #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) x))) (/.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))) (.f64 (*.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) x))))
(+.f64 (.f64 (.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) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 (.f64 x (+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) 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 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 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 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.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 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(-.f64 (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(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 #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 x #s(literal -1 binary64))))
(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 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))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.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 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(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 (/.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 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(neg.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(neg.f64 (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) x) x)))
(neg.f64 (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (+.f64 x #s(literal -1 binary64))))
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(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (-.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))) #s(literal -1 binary64))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.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) x) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.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 x (+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.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 x (+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) x)
(*.f64 (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.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))) #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)) #s(literal -1 binary64))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #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) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 x #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) 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 x #s(literal -1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) #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 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) #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 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.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 #s(literal -1 binary64) x) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) (-.f64 #s(literal -1 binary64) x)) (.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (.f64 x (-.f64 #s(literal -1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 #s(literal -1 binary64) x)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) 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) x)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log1p.f64 x))))
(-.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))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) 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 (+.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))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(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 #s(literal 1 binary64) 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))

simplify272.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1974×	`sum3-define`
1908×	`-lowering-.f32`
1908×	`-lowering-.f64`
1824×	`fnmsub-define`
1388×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	351
1	240	315
2	593	309
3	1585	306
4	4704	306
0	8267	306

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

eval36.0ms (0.8%)

Compiler: Compiled 5088 to 649 computations (87.2% saved)

prune49.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	314	5	319
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	314	6	320

Accuracy

100.0%

Counts

320 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.1%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (-.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))))
▶	48.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
▶	52.4%	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
▶	48.2%	#s(literal 1 binary64)
▶	52.6%	#s(literal -1 binary64)

Compiler

Compiled 88 to 61 computations (30.7% saved)

simplify315.0ms (6.9%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

1940×	`+-lowering-+.f64`
1940×	`+-lowering-+.f32`
1824×	`sum3-define`
1388×	`--lowering--.f32`
1388×	`--lowering--.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	89
1	46	70
2	103	70
3	862	67
4	4026	67
0	8275	67

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize229.0ms (5.1%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.3%	(/.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 x (+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
✓	accuracy	80.0%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	52.3%	(+.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))

Results

141.0ms	126×	1	valid
62.0ms	130×	0	valid

Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 23.0ms (42.8% of total)

ival-add: 10.0ms (18.6% of total)

ival-div: 8.0ms (14.9% of total)

backward-pass: 8.0ms (14.9% of total)

ival-sub: 4.0ms (7.4% of total)

const: 1.0ms (1.9% of total)

series5.0ms (0.1%)

Counts

10 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite282.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`-lowering-.f32`
1898×	`-lowering-.f64`
1436×	`+-lowering-+.f64`
1436×	`+-lowering-+.f32`
1430×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	60
1	68	48
2	292	48
3	2117	45
4	7713	45
0	8236	45

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 532

Calls

Call 1

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

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

simplify225.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1950×	`fnmsub-define`
1846×	`-lowering-.f32`
1846×	`-lowering-.f64`
1706×	`sum4-define`
1544×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	613
1	230	499
2	681	485
3	2073	474
4	6115	474
0	8694	474

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval130.0ms (2.9%)

Compiler: Compiled 10385 to 1735 computations (83.3% saved)

prune74.0ms (1.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	753	1	754
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	754	6	760

Accuracy

100.0%

Counts

760 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.5%	(/.f64 (-.f64 #s(literal -1 binary64) (.f64 x x)) (-.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))))
✓	48.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓	52.4%	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
✓	48.2%	#s(literal 1 binary64)
✓	52.6%	#s(literal -1 binary64)

Compiler

Compiled 44 to 30 computations (31.8% saved)

simplify147.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

880×	`fnmadd-define`
634×	`fma-define`
504×	`sum3-define`
466×	`fnmsub-define`
458×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	20	22
2	31	22
3	61	22
4	116	22
5	239	22
6	735	22
7	2181	22
8	2868	22
9	2875	22
0	2875	22

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize48.0ms (1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	79.2%	(/.f64 (-.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))

Results

39.0ms

256×

valid

Compiler

Compiled 29 to 8 computations (72.4% saved)

Precisions

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

ival-sub: 17.0ms (77.5% of total)

ival-div: 2.0ms (9.1% of total)

ival-mult: 2.0ms (9.1% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

Calls

12 calls:

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

rewrite316.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2216×	`/-lowering-/.f32`
2216×	`/-lowering-/.f64`
2176×	`-lowering-.f32`
2176×	`-lowering-.f64`
1742×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	29	19
2	95	19
3	476	19
4	2883	19
0	9446	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 378

Calls

Call 1

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

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

simplify206.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1860×	`-lowering-.f32`
1860×	`-lowering-.f64`
1748×	`sum4-define`
1728×	`fma-lowering-fma.f32`
1728×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	276
1	99	206
2	254	206
3	638	206
4	1353	206
5	2652	206
6	5820	206
0	8339	206

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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

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

eval55.0ms (1.2%)

Compiler: Compiled 10310 to 894 computations (91.3% saved)

prune67.0ms (1.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	470	0	470
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	470	6	476

Accuracy

100.0%

Counts

476 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.5%	(/.f64 (-.f64 #s(literal -1 binary64) (.f64 x x)) (-.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))))
✓	48.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓	52.4%	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
✓	48.2%	#s(literal 1 binary64)
✓	52.6%	#s(literal -1 binary64)

Compiler

Compiled 100 to 56 computations (44% saved)

regimes9.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
2.0ms	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))

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)

regimes2.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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)))
#s(literal 1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
52.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch55.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.02706781788494566	7430221827296042000.0
25.0ms	-7878.8177394100285	-0.014232506469259568

Results

42.0ms

320×

valid

Compiler

Compiled 310 to 246 computations (20.6% saved)

Precisions

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

ival-div: 5.0ms (47.8% of total)

ival-add: 3.0ms (28.7% of total)

ival-sub: 2.0ms (19.1% of total)

const: 0.0ms (0% of total)

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

bsearch41.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	0.02706781788494566	7430221827296042000.0
14.0ms	-7878.8177394100285	-0.014232506469259568

Results

28.0ms

320×

valid

Compiler

Compiled 256 to 210 computations (18% saved)

Precisions

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

ival-sub: 9.0ms (49.3% of total)

ival-div: 5.0ms (27.4% of total)

ival-add: 3.0ms (16.4% of total)

const: 0.0ms (0% of total)

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

bsearch65.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	0.02706781788494566	7430221827296042000.0
23.0ms	-7878.8177394100285	-0.014232506469259568

Results

39.0ms

320×

valid

Compiler

Compiled 136 to 130 computations (4.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-add: 22.0ms (74.8% of total)

ival-div: 5.0ms (17% of total)

ival-sub: 2.0ms (6.8% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
4×	`if-if-or-not_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	63
1	36	63
2	39	63
3	44	63

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))) #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 #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)) #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))) #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 (*.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 #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)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

soundness384.0ms (8.4%)

Rules

1974×	`sum3-define`
1908×	`-lowering-.f32`
1908×	`-lowering-.f64`
1824×	`fnmsub-define`
1388×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	351
1	240	315
2	593	309
3	1585	306
4	4704	306
0	8267	306

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 98 to 50 computations (49% saved)

preprocess49.0ms (1.1%)

Compiler: Compiled 152 to 58 computations (61.8% saved)

analyze4.0ms (0.1%)

sample971.0ms (21.4%)

preprocess57.0ms (1.3%)

explain97.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize59.0ms (1.3%)

series3.0ms (0.1%)

rewrite272.0ms (6%)

simplify272.0ms (6%)

eval36.0ms (0.8%)

prune49.0ms (1.1%)

simplify315.0ms (6.9%)

localize229.0ms (5.1%)

series5.0ms (0.1%)

rewrite282.0ms (6.2%)

simplify225.0ms (5%)

eval130.0ms (2.9%)

prune74.0ms (1.6%)

simplify147.0ms (3.2%)

localize48.0ms (1%)

series1.0ms (0%)

rewrite316.0ms (6.9%)

simplify206.0ms (4.5%)

eval55.0ms (1.2%)

prune67.0ms (1.5%)

regimes9.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch55.0ms (1.2%)

bsearch41.0ms (0.9%)

bsearch65.0ms (1.4%)

simplify8.0ms (0.2%)

soundness384.0ms (8.4%)

preprocess49.0ms (1.1%)

end0.0ms (0%)

Profiling