Metrics for Asymptote A

analyze3.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.3s (13.4%)

Results

639.0ms	4001×	1	valid
312.0ms	4255×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 645.0ms

ival-div: 288.0ms (44.7% of total)

ival-sub: 212.0ms (32.9% of total)

ival-add: 77.0ms (11.9% of total)

backward-pass: 54.0ms (8.4% of total)

const: 14.0ms (2.2% of total)

Bogosity

preprocess59.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

204×	`fnmadd-define`
178×	`sum3-define`
168×	`fmsub-define`
164×	`fnmsub-define`
164×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	34	29
2	73	27
3	151	27
4	346	27
5	616	27
6	761	27
7	769	27
0	7	9
1	17	9
2	24	9
3	39	9
4	62	9
5	107	9
6	187	9
7	304	9
8	429	9
9	651	9
10	774	9
11	800	9
12	804	9
0	804	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs x)

explain134.0ms (1.4%)

FPErrors

Click to see full error table

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

Results

46.0ms	252×	0	valid
38.0ms	260×	1	valid

Compiler

Compiled 74 to 23 computations (68.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 11.0ms (37.3% of total)

ival-sub: 8.0ms (27.1% of total)

ival-add: 5.0ms (16.9% of total)

backward-pass: 5.0ms (16.9% of total)

const: 1.0ms (3.4% of total)

eval0.0ms (0%)

Compiler: Compiled 12 to 7 computations (41.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.4%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

204×	`fnmadd-define`
178×	`sum3-define`
160×	`fma-lowering-fma.f32`
160×	`fnmsub-define`
160×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
1	17	25
2	24	25
3	39	25
4	62	25
5	107	25
6	187	25
7	304	25
8	429	25
9	651	25
10	774	25
11	800	25
12	804	25
0	804	25

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize43.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	80.4%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

19.0ms	130×	1	valid
14.0ms	126×	0	valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

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

ival-div: 6.0ms (41.3% of total)

ival-sub: 4.0ms (27.5% of total)

ival-add: 3.0ms (20.6% of total)

backward-pass: 2.0ms (13.8% of total)

const: 0.0ms (0% of total)

series35.0ms (0.4%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	x	@	-inf	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0ms	x	@	0	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0ms	x	@	inf	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0ms	x	@	inf	(/ 1 (+ x 1))
0.0ms	x	@	inf	(+ x 1)

rewrite315.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3530×	`-lowering-.f32`
3530×	`-lowering-.f64`
3372×	`/-lowering-/.f32`
3372×	`/-lowering-/.f64`
1550×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	63	20
2	701	20
0	9059	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 342

Calls

Call 1

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

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

simplify255.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2500×	`-lowering-.f32`
2500×	`-lowering-.f64`
1900×	`fnmsub-define`
1592×	`sum5-define`
1466×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	374
1	243	355
2	662	336
3	2163	321
4	7019	321
0	8700	321

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval58.0ms (0.6%)

Compiler: Compiled 10673 to 1145 computations (89.3% saved)

prune85.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	385	5	390
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	385	6	391

Accuracy

99.6%

Counts

391 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.4%	(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
▶	52.3%	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
▶	52.3%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	80.4%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶	47.8%	(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
▶	48.2%	#s(literal 2 binary64)

Compiler

Compiled 100 to 61 computations (39% saved)

simplify204.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 13 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 -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.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 2 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	256	(+.f64 x (-.f64 #s(literal -1 binary64) x))
✓	cost-diff	384	(+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x)))
✓	cost-diff	384	(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	512	(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))

Rules

2200×	`--lowering--.f32`
2200×	`--lowering--.f64`
1658×	`fma-lowering-fma.f32`
1658×	`fma-lowering-fma.f64`
1552×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	114
1	40	108
2	88	83
3	226	81
4	435	80
5	934	80
6	3120	80
0	8206	80

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize127.0ms (1.3%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
✓	accuracy	99.4%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal 2 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 x)
✓	accuracy	99.4%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x)))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	52.3%	(+.f64 x (-.f64 #s(literal -1 binary64) x))

Results

52.0ms	135×	0	valid
49.0ms	121×	1	valid

Compiler

Compiled 108 to 19 computations (82.4% saved)

Precisions

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

ival-add: 11.0ms (30.3% of total)

ival-div: 10.0ms (27.5% of total)

backward-pass: 6.0ms (16.5% of total)

ival-mult: 6.0ms (16.5% of total)

ival-sub: 3.0ms (8.3% of total)

const: 1.0ms (2.8% of total)

series5.0ms (0.1%)

Counts

10 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite402.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4484×	`/-lowering-/.f32`
4484×	`/-lowering-/.f64`
3716×	`-lowering-.f32`
3716×	`-lowering-.f64`
1950×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	143	70
2	1421	67
0	8677	67

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 648

Calls

Call 1

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

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

simplify261.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2456×	`-lowering-.f32`
2456×	`-lowering-.f64`
1428×	`fma-lowering-fma.f32`
1428×	`fma-lowering-fma.f64`
1422×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	740
1	223	700
2	617	660
3	1672	638
4	5837	638
0	8014	638

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval155.0ms (1.6%)

Compiler: Compiled 24986 to 2805 computations (88.8% saved)

prune124.0ms (1.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	866	6	872
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	868	10	878

Accuracy

100.0%

Counts

878 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x) (+.f64 x #s(literal -1 binary64)))
▶	99.9%	(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
▶	52.7%	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
▶	99.5%	(/.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.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 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))
✓	52.3%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	80.4%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓	47.8%	(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
▶	59.3%	(.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))
	62.5%	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x))))))
✓	48.2%	#s(literal 2 binary64)

Compiler

Compiled 264 to 158 computations (40.2% saved)

simplify224.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	384	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x)))
✓	cost-diff	384	(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
✓	cost-diff	640	(.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))
✓	cost-diff	384	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x)))
✓	cost-diff	384	(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	640	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.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 #s(literal 1 binary64) x))))
✓	cost-diff	1152	(/.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.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 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)
✓	cost-diff	0	(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))

Rules

2984×	`-lowering-.f32`
2984×	`-lowering-.f64`
1710×	`+-lowering-+.f64`
1710×	`+-lowering-+.f32`
1400×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	205
1	96	205
2	238	202
3	618	192
4	1663	190
5	4606	190
0	8331	190

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize190.0ms (2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	59.7%	(.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)))
✓	accuracy	99.9%	(/.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.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 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.6%	(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	72.1%	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.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 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))

Results

119.0ms

256×

valid

Compiler

Compiled 296 to 35 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-add: 27.0ms (45.2% of total)

ival-div: 21.0ms (35.2% of total)

ival-mult: 7.0ms (11.7% of total)

ival-sub: 4.0ms (6.7% of total)

const: 1.0ms (1.7% of total)

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

series12.0ms (0.1%)

Counts

20 → 240

Calls

Call 1

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

Outputs
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt -2>
#<alt (- (* 2 x) 2)>
#<alt (- (* x (+ 2 (* -2 x))) 2)>
#<alt (- (* x (+ 2 (* x (- (* 2 x) 2)))) 2)>
#<alt (/ -2 x)>
#<alt (/ (- (* 2 (/ 1 x)) 2) x)>
#<alt (/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)>
#<alt (/ (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 2 (/ 2 (pow x 2)))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (- 2 (* 2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (- 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 (/ -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 (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 x)))) (pow x 3))>
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* x (+ 2 (* 2 x)))))) (pow x 3))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 3))>
#<alt (/ (- (* 2 x) 2) (pow x 3))>
#<alt (/ (- (* x (+ 2 (* -2 x))) 2) (pow x 3))>
#<alt (/ (- (* x (+ 2 (* -2 x))) 2) (pow x 3))>
#<alt (/ -2 x)>
#<alt (/ (- (* 2 (/ 1 x)) 2) x)>
#<alt (/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)>
#<alt (/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (- 2 (* 2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))>
#<alt (/ -2 (pow x 2))>
#<alt (/ (- (* 2 x) 2) (pow x 2))>
#<alt (/ (- (* x (+ 2 (* -2 x))) 2) (pow x 2))>
#<alt (/ (- (* x (+ 2 (* -2 x))) 2) (pow x 2))>
#<alt -2>
#<alt (- (* 2 (/ 1 x)) 2)>
#<alt (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2))))>
#<alt (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2))))>
#<alt -2>
#<alt (- (* 2 (/ 1 x)) 2)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2)>
#<alt (/ -2 (pow x 2))>
#<alt (/ (- (* 2 x) 2) (pow x 2))>
#<alt (/ (- (* 2 x) 2) (pow x 2))>
#<alt (/ (- (* 2 x) 2) (pow x 2))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 2 (/ 1 x))) x)>
#<alt (/ (- 2 (* 2 (/ 1 x))) x)>
#<alt (/ (- 2 (* 2 (/ 1 x))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 2 (/ 1 x)) 2) x))>
#<alt (* -1 (/ (- (* 2 (/ 1 x)) 2) x))>
#<alt (* -1 (/ (- (* 2 (/ 1 x)) 2) x))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt -2>
#<alt (- (* 2 x) 2)>
#<alt (- (* x (+ 2 (* -2 x))) 2)>
#<alt (- (* x (+ 2 (* x (- (* 2 x) 2)))) 2)>
#<alt (/ -2 x)>
#<alt (/ (- (* 2 (/ 1 x)) 2) x)>
#<alt (/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)>
#<alt (/ (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 2 (/ 2 (pow x 2)))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (- 2 (* 2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) x))>
#<alt -2>
#<alt (- (* -2 (pow x 2)) 2)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2)>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 2))>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* 2 (pow x 4)))) 2)))>
#<alt (/ -2 (pow x 4))>
#<alt (/ (- (* 2 (/ 1 x)) 2) (pow x 4))>
#<alt (/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 2))) (* 2 (/ 1 x))) 2) (pow x 4))>
#<alt (/ -2 (pow x 4))>
#<alt (/ (- (* 2 (/ 1 x)) 2) (pow x 4))>
#<alt (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) (pow x 4))>
#<alt (/ (- (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 5))) 2) x)) 2) (pow x 4))>
#<alt -2>
#<alt (- (* 2 x) 2)>
#<alt (- (* x (+ 2 (* -2 x))) 2)>
#<alt (- (* x (+ 2 (* x (- (* 2 x) 2)))) 2)>
#<alt (/ -2 x)>
#<alt (/ (- (* 2 (/ 1 x)) 2) x)>
#<alt (/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)>
#<alt (/ (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 2 (/ 2 (pow x 2)))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (- 2 (* 2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) x))>
#<alt (/ -2 x)>
#<alt (/ (- (* 2 x) 2) x)>
#<alt (/ (- (* 2 x) 2) x)>
#<alt (/ (- (* 2 x) 2) x)>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 x)))>
#<alt (- 2 (* 2 (/ 1 x)))>
#<alt (- 2 (* 2 (/ 1 x)))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 x)))>
#<alt (- 2 (* 2 (/ 1 x)))>
#<alt (- 2 (* 2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

60 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* x (* x x))
1.0ms	x	@	0	(/ (* (/ (+ -1 (+ -1 (- x x))) (- 1 (* x x))) (/ 1 (/ 1 (- 1 x)))) (+ x -1))
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	-inf	(* (/ (/ (+ -1 (+ -1 (- x x))) (+ x 1)) (+ -1 (* x (* x x)))) (+ (+ x 1) (* x x)))
0.0ms	x	@	inf	(* (/ (/ (+ -1 (+ -1 (- x x))) (+ x 1)) (+ -1 (* x (* x x)))) (+ (+ x 1) (* x x)))

rewrite842.0ms (8.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4624×	`-lowering-.f32`
4624×	`-lowering-.f64`
3374×	`/-lowering-/.f32`
3374×	`/-lowering-/.f64`
2248×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	128
1	316	118
2	2797	117
0	9166	117

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 2569

Calls

Call 1

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

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

simplify301.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2112×	`-lowering-.f32`
2112×	`-lowering-.f64`
2040×	`fma-lowering-fma.f32`
2040×	`fma-lowering-fma.f64`
1676×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1818
1	445	1696
2	1327	1651
3	4271	1642
0	8295	1642

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* -2 x))) 2)
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 2)
(/ -2 x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)
(/ (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 2 (/ 2 (pow x 2)))) x)
(/ -2 x)
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))
(* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
-1
(- x 1)
(- x 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)))
(/ -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))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 x)))) (pow x 3))
(/ (+ 2 (* (pow x 2) (+ 2 (* x (+ 2 (* 2 x)))))) (pow x 3))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 3))
(/ (- (* 2 x) 2) (pow x 3))
(/ (- (* x (+ 2 (* -2 x))) 2) (pow x 3))
(/ (- (* x (+ 2 (* -2 x))) 2) (pow x 3))
(/ -2 x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)
(/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)
(/ -2 x)
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))
(* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))
(/ -2 (pow x 2))
(/ (- (* 2 x) 2) (pow x 2))
(/ (- (* x (+ 2 (* -2 x))) 2) (pow x 2))
(/ (- (* x (+ 2 (* -2 x))) 2) (pow x 2))
-2
(- (* 2 (/ 1 x)) 2)
(- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2))))
(- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2))))
-2
(- (* 2 (/ 1 x)) 2)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2)
(/ -2 (pow x 2))
(/ (- (* 2 x) 2) (pow x 2))
(/ (- (* 2 x) 2) (pow x 2))
(/ (- (* 2 x) 2) (pow x 2))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ 2 x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* -2 x))) 2)
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 2)
(/ -2 x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)
(/ (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 2 (/ 2 (pow x 2)))) x)
(/ -2 x)
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))
(* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) x))
-2
(- (* -2 (pow x 2)) 2)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2)
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 2))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 2))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 2))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 2))
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* 2 (pow x 4)))) 2)))
(/ -2 (pow x 4))
(/ (- (* 2 (/ 1 x)) 2) (pow x 4))
(/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) (pow x 4))
(/ (- (+ (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 2))) (* 2 (/ 1 x))) 2) (pow x 4))
(/ -2 (pow x 4))
(/ (- (* 2 (/ 1 x)) 2) (pow x 4))
(/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) (pow x 4))
(/ (- (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 5))) 2) x)) 2) (pow x 4))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* -2 x))) 2)
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 2)
(/ -2 x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)
(/ (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 2 (/ 2 (pow x 2)))) x)
(/ -2 x)
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))
(* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) x))
(/ -2 x)
(/ (- (* 2 x) 2) x)
(/ (- (* 2 x) 2) x)
(/ (- (* 2 x) 2) x)
2
(- 2 (* 2 (/ 1 x)))
(- 2 (* 2 (/ 1 x)))
(- 2 (* 2 (/ 1 x)))
2
(- 2 (* 2 (/ 1 x)))
(- 2 (* 2 (/ 1 x)))
(- 2 (* 2 (/ 1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))
(/ -2 (pow x 2))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (.f64 x x))) (.f64 x x))
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (.f64 x x))) (.f64 x x))) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 2 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) x))))
(+ 2 (* x (- (* x (+ 2 (* 2 (pow x 4)))) 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* 2 (/ 1 x)) 2) (pow x 4))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 2))) (* 2 (/ 1 x))) 2) (pow x 4))
(/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* 2 (/ 1 x)) 2) (pow x 4))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) (pow x 4))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 5))) 2) x)) 2) (pow x 4))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 x (.f64 x x))))) x)) (.f64 x (.f64 x (.f64 x x))))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x))
(- (* x (+ 2 (* -2 x))) 2)
(+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))))
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 2)
(+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x))))))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)
(/ (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 2 (/ 2 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x) #s(literal -2 binary64))) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)
(* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* 2 x) 2) x)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* 2 x) 2) x)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* 2 x) 2) x)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))
(- 2 (* 2 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))
(- 2 (* 2 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))
(- 2 (* 2 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))
(- 2 (* 2 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) 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))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval474.0ms (5%)

Compiler: Compiled 135333 to 4259 computations (96.9% saved)

prune197.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	2932	4	2936
Fresh	1	0	1
Picked	4	1	5
Done	2	2	4
Total	2939	7	2946

Accuracy

100.0%

Counts

2946 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))))
✓	52.7%	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
▶	92.7%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))))
▶	52.3%	(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))
▶	99.6%	(/.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓	52.3%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	48.2%	#s(literal 2 binary64)

Compiler

Compiled 74 to 52 computations (29.7% saved)

simplify178.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	512	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	640	(/.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(-.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -2 binary64)))
✓	cost-diff	0	(.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	384	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
✓	cost-diff	768	(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Rules

2652×	`-lowering-.f32`
2652×	`-lowering-.f64`
2128×	`+-lowering-+.f64`
2128×	`+-lowering-+.f32`
1364×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	151
1	82	151
2	253	146
3	853	144
4	3160	130
0	8398	130

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize159.0ms (1.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	92.7%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	99.9%	(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	72.1%	(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.6%	(/.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Results

66.0ms

256×

valid

Compiler

Compiled 188 to 25 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 15.0ms (50.7% of total)

ival-mult: 7.0ms (23.6% of total)

ival-sub: 4.0ms (13.5% of total)

ival-add: 3.0ms (10.1% of total)

const: 1.0ms (3.4% of total)

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

series7.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite442.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4710×	`/-lowering-/.f32`
4710×	`/-lowering-/.f64`
3000×	`-lowering-.f32`
3000×	`-lowering-.f64`
1430×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	103
1	196	102
2	1918	84
0	8584	84

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1440

Calls

Call 1

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

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

simplify282.0ms (3%)

Algorithm

1×	egg-herbie

Rules

3008×	`-lowering-.f32`
3008×	`-lowering-.f64`
1406×	`+-lowering-+.f64`
1406×	`+-lowering-+.f32`
1238×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	1379
1	416	1295
2	1263	1245
3	4261	1241
0	8283	1241

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))) (.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))) (.f64 x x))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(- (pow x 2) 1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(- (pow x 2) 1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(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))
(/.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 (* -2 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64))) (.f64 x x))
(/ (+ 2 (* -2 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64))) (.f64 x x))
(/ (+ 2 (* -2 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64))) (.f64 x x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) 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))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))) (.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))) (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) 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))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1/2 (* x (- (* -1/2 x) 1/2)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(+ 1/2 (* x (- (* x (- (* 1/2 x) 1/2)) 1/2)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* 1/2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) x))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* (pow x 3) (- (+ 1/2 (* 1/2 (/ 1 (pow x 3)))) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) x))))
(* 1/2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* -1 (* (pow x 3) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) 1/2)))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)) 1/2) x)) 1/2)))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) x))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(- (* 1/2 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(- (* 1/2 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))) (.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))) (.f64 x x))
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-2
#s(literal -2 binary64)
(- (* -2 (pow x 2)) 2)
(.f64 #s(literal -2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64)))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)
(+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (.f64 #s(literal -2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64))))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2)
(+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (.f64 #s(literal -2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64)))))))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.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))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 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 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 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 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)

eval371.0ms (3.9%)

Compiler: Compiled 58750 to 4572 computations (92.2% saved)

prune243.0ms (2.6%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	2155	3	2158
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	2157	8	2165

Accuracy

100.0%

Counts

2165 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.8%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))))
	52.3%	(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))))
✓	52.7%	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
✓	92.7%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))))
	46.2%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
✓	99.6%	(/.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓	52.3%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	48.2%	#s(literal 2 binary64)

Compiler

Compiled 342 to 134 computations (60.8% saved)

regimes11.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
48.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.33552053620594813	2048358.4798822096

Results

8.0ms

144×

valid

Compiler

Compiled 160 to 109 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (45.3% of total)

ival-sub: 1.0ms (22.7% of total)

ival-add: 1.0ms (22.7% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.33552053620594813	2048358.4798822096

Results

23.0ms

144×

valid

Compiler

Compiled 106 to 82 computations (22.6% saved)

Precisions

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

ival-add: 16.0ms (81.4% of total)

ival-div: 2.0ms (10.2% of total)

ival-sub: 1.0ms (5.1% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.33552053620594813	2048358.4798822096

Results

7.0ms

144×

valid

Compiler

Compiled 106 to 82 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (46.7% of total)

ival-sub: 1.0ms (23.4% of total)

ival-add: 1.0ms (23.4% of total)

const: 0.0ms (0% of total)

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

simplify25.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	53
1	29	53

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.8s (19.3%)

Rules

4624×	`-lowering-.f32`
4624×	`-lowering-.f64`
4484×	`/-lowering-/.f32`
4484×	`/-lowering-/.f64`
3716×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	740
1	223	700
2	617	660
3	1672	638
4	5837	638
0	8014	638
0	7	20
1	63	20
2	701	20
0	9059	20
0	34	128
1	316	118
2	2797	117
0	9166	117
0	80	374
1	243	355
2	662	336
3	2163	321
4	7019	321
0	8700	321
0	18	76
1	143	70
2	1421	67
0	8677	67

Stop Event

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

Compiler

Compiled 128 to 76 computations (40.6% saved)

preprocess35.0ms (0.4%)

Remove: (abs x)
Compiler: Compiled 172 to 88 computations (48.8% saved)

Iter	Nodes	Cost
0	14	30
1	34	29
2	73	27
3	151	27
4	346	27
5	616	27
6	761	27
7	769	27
0	7	9
1	17	9
2	24	9
3	39	9
4	62	9
5	107	9
6	187	9
7	304	9
8	429	9
9	651	9
10	774	9
11	800	9
12	804	9
0	804	9

Iter	Nodes	Cost
0	7	25
1	17	25
2	24	25
3	39	25
4	62	25
5	107	25
6	187	25
7	304	25
8	429	25
9	651	25
10	774	25
11	800	25
12	804	25
0	804	25

Iter	Nodes	Cost
0	14	30
1	34	29
2	73	27
3	151	27
4	346	27
5	616	27
6	761	27
7	769	27
0	7	9
1	17	9
2	24	9
3	39	9
4	62	9
5	107	9
6	187	9
7	304	9
8	429	9
9	651	9
10	774	9
11	800	9
12	804	9
0	804	9

Iter	Nodes	Cost
0	7	25
1	17	25
2	24	25
3	39	25
4	62	25
5	107	25
6	187	25
7	304	25
8	429	25
9	651	25
10	774	25
11	800	25
12	804	25
0	804	25

analyze3.0ms (0%)

sample1.3s (13.4%)

preprocess59.0ms (0.6%)

explain134.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.3%)

localize43.0ms (0.5%)

series35.0ms (0.4%)

rewrite315.0ms (3.3%)

simplify255.0ms (2.7%)

eval58.0ms (0.6%)

prune85.0ms (0.9%)

simplify204.0ms (2.2%)

localize127.0ms (1.3%)

series5.0ms (0.1%)

rewrite402.0ms (4.2%)

simplify261.0ms (2.8%)

eval155.0ms (1.6%)

prune124.0ms (1.3%)

simplify224.0ms (2.4%)

localize190.0ms (2%)

series12.0ms (0.1%)

rewrite842.0ms (8.9%)

simplify301.0ms (3.2%)

eval474.0ms (5%)

prune197.0ms (2.1%)

simplify178.0ms (1.9%)

localize159.0ms (1.7%)

series7.0ms (0.1%)

rewrite442.0ms (4.7%)

simplify282.0ms (3%)

eval371.0ms (3.9%)

prune243.0ms (2.6%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch14.0ms (0.1%)

bsearch29.0ms (0.3%)

bsearch13.0ms (0.1%)

simplify25.0ms (0.3%)

soundness1.8s (19.3%)

preprocess35.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	30
1	34	29
2	73	27
3	151	27
4	346	27
5	616	27
6	761	27
7	769	27
0	7	9
1	17	9
2	24	9
3	39	9
4	62	9
5	107	9
6	187	9
7	304	9
8	429	9
9	651	9
10	774	9
11	800	9
12	804	9
0	804	9

Iter	Nodes	Cost
0	7	25
1	17	25
2	24	25
3	39	25
4	62	25
5	107	25
6	187	25
7	304	25
8	429	25
9	651	25
10	774	25
11	800	25
12	804	25
0	804	25