Metrics for Asymptote A

analyze4.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

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

ival-div: 1.0ms (77.2% of total)

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

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

const: 0.0ms (0% of total)

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

sample1.4s (16.4%)

Results

697.0ms	3858×	1	valid
412.0ms	4398×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 724.0ms

ival-div: 273.0ms (37.7% of total)

ival-sub: 202.0ms (27.9% of total)

ival-add: 161.0ms (22.2% of total)

backward-pass: 73.0ms (10.1% of total)

const: 15.0ms (2.1% of total)

Bogosity

preprocess56.0ms (0.7%)

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)

explain133.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
71	-	-	`(-.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

57.0ms	240×	1	valid
43.0ms	272×	0	valid

Compiler

Compiled 74 to 23 computations (68.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-div: 29.0ms (49.7% of total)

backward-pass: 14.0ms (24% of total)

ival-sub: 8.0ms (13.7% of total)

ival-add: 6.0ms (10.3% of total)

const: 1.0ms (1.7% 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
▶	75.2%	(-.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)

simplify36.0ms (0.4%)

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))

localize53.0ms (0.6%)

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	75.3%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

27.0ms	120×	1	valid
13.0ms	136×	0	valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 6.0ms (32.2% of total)

backward-pass: 6.0ms (32.2% of total)

ival-sub: 4.0ms (21.5% of total)

ival-add: 3.0ms (16.1% of total)

const: 1.0ms (5.4% of total)

series2.0ms (0%)

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
0.0ms	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)

rewrite296.0ms (3.5%)

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	704	20
0	9083	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 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.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 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.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 (-.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 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.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 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #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 (+.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.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 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #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 #s(literal 1 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) 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 #s(literal 1 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) 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))))))
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(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.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 0 binary64) (+.f64 #s(literal 1 binary64) (.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))))

simplify275.0ms (3.3%)

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	327
2	663	311
3	2162	298
4	6992	298
0	8678	298

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

eval53.0ms (0.6%)

Compiler: Compiled 10685 to 1149 computations (89.2% saved)

prune82.0ms (1%)

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

99.3%

Counts

391 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.1%	(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
▶	75.7%	(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
▶	47.9%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	75.2%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶	51.7%	(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
▶	52.1%	#s(literal 2 binary64)

Compiler

Compiled 96 to 59 computations (38.5% saved)

simplify209.0ms (2.5%)

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	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓	cost-diff	384	(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))

Rules

2408×	`-lowering-.f32`
2408×	`-lowering-.f64`
1506×	`--lowering--.f32`
1506×	`--lowering--.f64`
1368×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	92
1	45	87
2	118	67
3	290	67
4	530	67
5	1313	67
6	4982	67
7	6993	67
8	7845	67
0	8062	67

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize158.0ms (1.9%)

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	99.2%	(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
✓	accuracy	99.2%	(/.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	99.2%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.3%	(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓	accuracy	54.6%	(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))

Results

91.0ms	116×	1	valid
37.0ms	140×	0	valid

Compiler

Compiled 95 to 17 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

backward-pass: 20.0ms (34.3% of total)

ival-sub: 15.0ms (25.8% of total)

ival-div: 10.0ms (17.2% of total)

ival-add: 7.0ms (12% of total)

ival-mult: 5.0ms (8.6% of total)

const: 1.0ms (1.7% of total)

series17.0ms (0.2%)

Counts

11 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite422.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

4172×	`/-lowering-/.f32`
4172×	`/-lowering-/.f64`
4086×	`-lowering-.f32`
4086×	`-lowering-.f64`
1870×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	60
1	139	57
2	1374	57
0	8387	57

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 606

Calls

Call 1

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

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

simplify273.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

4190×	`-lowering-.f32`
4190×	`-lowering-.f64`
1552×	`times-frac`
1254×	`/-lowering-/.f32`
1254×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	751
1	140	599
2	413	564
3	1416	562
4	5632	562
0	8089	562

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval126.0ms (1.5%)

Compiler: Compiled 21260 to 2261 computations (89.4% saved)

prune102.0ms (1.2%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	814	4	818
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	815	9	824

Accuracy

100.0%

Counts

824 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.5%	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
▶	13.6%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (.f64 x x))) (.f64 x (/.f64 #s(literal 2 binary64) x))) (.f64 x (.f64 x (*.f64 x x))))
▶	19.5%	(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x))) (.f64 x (.f64 x x)))
✓	48.1%	(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
▶	99.3%	(/.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓	47.9%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	75.2%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓	51.7%	(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
✓	52.1%	#s(literal 2 binary64)

Compiler

Compiled 100 to 58 computations (42% saved)

simplify228.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
✓	cost-diff	0	(-.f64 (.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (.f64 x x))) (.f64 x (/.f64 #s(literal 2 binary64) x)))
✓	cost-diff	256	(*.f64 x (/.f64 #s(literal 2 binary64) x))
✓	cost-diff	256	(.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (*.f64 x x)))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (.f64 x x))) (.f64 x (/.f64 #s(literal 2 binary64) x))) (.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(-.f64 (.f64 #s(literal -2 binary64) x) (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x)))
✓	cost-diff	128	(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x))) (.f64 x (.f64 x x)))
✓	cost-diff	512	(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
✓	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

3106×	`-lowering-.f32`
3106×	`-lowering-.f64`
1442×	`fma-lowering-fma.f32`
1442×	`fma-lowering-fma.f64`
1230×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	137
1	75	135
2	279	98
3	1203	98
4	3162	98
5	7326	98
0	8109	98

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 x) (/ (/ 2 (* x x)) x))) (* x (* x x)))
(- (* -2 x) (* (* x x) (/ (/ 2 (* x x)) x)))
(* -2 x)
-2
x
(* (* x x) (/ (/ 2 (* x x)) x))
(* x x)
(/ (/ 2 (* x x)) x)
(/ 2 (* x x))
2
(* x (* x x))
(/ (- (* (/ -2 x) (* x (* x x))) (* x (/ 2 x))) (* x (* x (* x x))))
(- (* (/ -2 x) (* x (* x x))) (* x (/ 2 x)))
(* (/ -2 x) (* x (* x x)))
(/ -2 x)
-2
x
(* x (* x x))
(* x x)
(* x (/ 2 x))
(/ 2 x)
2
(* x (* x (* x x)))
(/ (/ -2 x) x)
(/ -2 x)
-2
x

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

localize195.0ms (2.3%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(*.f64 x (/.f64 #s(literal 2 binary64) x))
✓	accuracy	85.2%	(.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (*.f64 x x)))
✓	accuracy	65.5%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (.f64 x x))) (.f64 x (/.f64 #s(literal 2 binary64) x))) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	91.9%	(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x))) (.f64 x (.f64 x x)))
✓	accuracy	39.1%	(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.3%	(/.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Results

112.0ms

256×

valid

Compiler

Compiled 179 to 23 computations (87.2% saved)

Precisions

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

ival-div: 15.0ms (47.2% of total)

ival-mult: 11.0ms (34.6% of total)

ival-sub: 2.0ms (6.3% of total)

ival-add: 1.0ms (3.1% of total)

const: 1.0ms (3.1% of total)

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

series6.0ms (0.1%)

Counts

15 → 180

Calls

Call 1

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

45 calls:

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

rewrite411.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3584×	`/-lowering-/.f32`
3584×	`/-lowering-/.f64`
2612×	`-lowering-.f32`
2612×	`-lowering-.f64`
1950×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	105
1	173	101
2	1512	75
0	9210	75

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 884

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x 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 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(pow.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64))))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))))
(.f64 (/.f64 #s(literal -2 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #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 x))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 x x #s(literal -1 binary64))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))))
(/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (neg.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 x x))))
(pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(/.f64 (.f64 x x) (/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (.f64 x x) (/.f64 (.f64 x x) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (neg.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 x x) (/.f64 (.f64 x x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (.f64 x x) (/.f64 (.f64 x x) #s(literal 2 binary64))) x)
(/.f64 (neg.f64 (/.f64 (.f64 x x) (/.f64 (.f64 x x) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 x (.f64 x x)))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x (.f64 x x)))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 x x) (/.f64 (.f64 x x) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal -2 binary64) x) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(pow.f64 (/.f64 x (/.f64 (.f64 x x) (/.f64 (.f64 x x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 x (/.f64 x (/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(.f64 (.f64 x x) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) x)
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (.f64 x x))
(.f64 (/.f64 x (/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)
(.f64 (/.f64 (.f64 x x) (/.f64 (*.f64 x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (neg.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -2 binary64)) (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -2 binary64)) x) (.f64 x (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (.f64 x (.f64 x x))) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64)))) #s(literal 0 binary64))) (neg.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64))))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (.f64 x (*.f64 x x))) #s(literal -8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -2 binary64))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (.f64 x (.f64 x x))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x x)))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -2 binary64)))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (.f64 x #s(literal -2 binary64)) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -2 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(/.f64 (neg.f64 (.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -2 binary64))) (neg.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) x) (.f64 x (.f64 x x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (.f64 x #s(literal -2 binary64)) (.f64 x x)) x)
(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x x))) x)
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (.f64 x #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (/.f64 (.f64 x #s(literal -2 binary64)) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))))
(.f64 x (/.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))
(.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (.f64 x (.f64 x x)))))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x (.f64 x x)))
(.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (/.f64 x x))
(.f64 (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 x x) x))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -2 binary64) (/.f64 x (.f64 x (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x))
(.f64 (/.f64 x (.f64 x x)) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 x x) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(.f64 (/.f64 (.f64 x (.f64 x x)) x) (/.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (*.f64 x x))))
(.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x (.f64 x x))) (/.f64 (.f64 x (*.f64 x x)) x))
(.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (.f64 x x)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(literal -2 binary64)))))
(pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 2 binary64) (neg.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 -2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) x) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(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 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

simplify302.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

4016×	`-lowering-.f32`
4016×	`-lowering-.f64`
1686×	`+-lowering-+.f64`
1686×	`+-lowering-+.f32`
1016×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	974
1	127	825
2	427	797
3	1280	782
4	4207	780
0	8275	780

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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

eval210.0ms (2.5%)

Compiler: Compiled 35034 to 2965 computations (91.5% saved)

prune126.0ms (1.5%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1234	4	1238
Fresh	0	0	0
Picked	2	2	4
Done	1	4	5
Total	1237	10	1247

Accuracy

100.0%

Counts

1247 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
✓	48.5%	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
✓	48.1%	(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
▶	13.7%	(/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
▶	40.7%	(/.f64 (.f64 x #s(literal -2 binary64)) (.f64 x (*.f64 x x)))
✓	99.3%	(/.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓	47.9%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	51.7%	(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
▶	40.6%	(.f64 x (/.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))))
✓	52.1%	#s(literal 2 binary64)

Compiler

Compiled 86 to 55 computations (36% saved)

simplify217.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -2 binary64))
✓	cost-diff	512	(/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	256	(/.f64 (.f64 x #s(literal -2 binary64)) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	256	(.f64 x (/.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))))

Rules

3444×	`-lowering-.f32`
3444×	`-lowering-.f64`
1834×	`fnmadd-define`
1474×	`sum3-define`
1458×	`/-lowering-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	83
1	46	72
2	126	72
3	332	72
4	942	72
5	1748	69
6	2478	69
7	5378	69
0	8313	69

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize135.0ms (1.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal -2 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	29.8%	(/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	85.1%	(/.f64 (.f64 x #s(literal -2 binary64)) (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x)))
✓	accuracy	84.6%	(.f64 x (/.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))))

Results

108.0ms

256×

valid

Compiler

Compiled 109 to 18 computations (83.5% saved)

Precisions

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

ival-mult: 28.0ms (68.5% of total)

ival-div: 10.0ms (24.5% of total)

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

const: 1.0ms (2.4% of total)

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

series4.0ms (0%)

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite454.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4030×	`-lowering-.f32`
4030×	`-lowering-.f64`
3690×	`/-lowering-/.f32`
3690×	`/-lowering-/.f64`
1970×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	63
1	99	49
2	730	49
3	6932	49
0	8679	49

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1117

Calls

Call 1

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

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

simplify273.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2762×	`-lowering-.f32`
2762×	`-lowering-.f64`
1660×	`sum4-define`
1546×	`fma-lowering-fma.f32`
1546×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	770
1	223	670
2	602	658
3	1766	649
4	6471	649
0	8357	649

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(/ -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 3))
(/ -2 (pow x 3))
(/ -2 (pow x 3))
(/ -2 (pow x 3))
(/ -2 (pow x 3))
(/ -2 (pow x 3))
(/ -2 (pow x 3))
(/ -2 (pow x 3))
(/ -2 (pow x 3))
(/ -2 (pow x 3))
(/ -2 (pow x 3))
(/ -2 (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)
(pow x 3)
(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 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 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 (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 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
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)))

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

eval249.0ms (3%)

Compiler: Compiled 23218 to 2501 computations (89.2% saved)

prune192.0ms (2.3%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	1485	1	1486
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	1485	11	1496

Accuracy

100.0%

Counts

1496 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
✓	48.5%	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
✓	48.1%	(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))
✓	13.7%	(/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
✓	40.7%	(/.f64 (.f64 x #s(literal -2 binary64)) (.f64 x (*.f64 x x)))
✓	99.3%	(/.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓	47.9%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	51.7%	(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
	22.7%	(.f64 (/.f64 (.f64 x x) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 x #s(literal 3/2 binary64))))
✓	40.6%	(.f64 x (/.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))))
✓	52.1%	#s(literal 2 binary64)

Compiler

Compiled 262 to 114 computations (56.5% saved)

regimes9.0ms (0.1%)

Counts

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

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

Calls

2 calls:

5.0ms	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)

regimes5.0ms (0.1%)

Counts

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.3%	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
99.1%	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
98.9%	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
98.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
52.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.028285725527889452	3.7636837288346685

Results

7.0ms

112×

valid

Compiler

Compiled 128 to 87 computations (32% saved)

Precisions

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

ival-div: 2.0ms (54.6% of total)

ival-sub: 1.0ms (27.3% of total)

ival-add: 1.0ms (27.3% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.028285725527889452	3.7636837288346685

Results

8.0ms

112×

valid

Compiler

Compiled 86 to 66 computations (23.3% saved)

Precisions

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

ival-div: 2.0ms (53.3% of total)

ival-sub: 1.0ms (26.6% of total)

ival-add: 1.0ms (26.6% 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	0.028285725527889452	3.7636837288346685

Results

7.0ms

112×

valid

Compiler

Compiled 86 to 66 computations (23.3% saved)

Precisions

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

ival-div: 2.0ms (54.6% of total)

ival-sub: 1.0ms (27.3% of total)

ival-add: 1.0ms (27.3% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

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 x #s(literal 1 binary64))) (+.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 x #s(literal 1 binary64))) (+.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)

soundness1.6s (19.4%)

Rules

4190×	`-lowering-.f32`
4190×	`-lowering-.f64`
4172×	`/-lowering-/.f32`
4172×	`/-lowering-/.f64`
4086×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	751
1	140	599
2	413	564
3	1416	562
4	5632	562
0	8089	562
0	7	20
1	63	20
2	704	20
0	9083	20
0	16	60
1	139	57
2	1374	57
0	8387	57
0	80	374
1	243	327
2	663	311
3	2162	298
4	6992	298
0	8678	298
0	22	105
1	173	101
2	1512	75
0	9210	75

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 117 to 67 computations (42.7% saved)

preprocess52.0ms (0.6%)

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

analyze4.0ms (0%)

sample1.4s (16.4%)

preprocess56.0ms (0.7%)

explain133.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify36.0ms (0.4%)

localize53.0ms (0.6%)

series2.0ms (0%)

rewrite296.0ms (3.5%)

simplify275.0ms (3.3%)

eval53.0ms (0.6%)

prune82.0ms (1%)

simplify209.0ms (2.5%)

localize158.0ms (1.9%)

series17.0ms (0.2%)

rewrite422.0ms (5%)

simplify273.0ms (3.2%)

eval126.0ms (1.5%)

prune102.0ms (1.2%)

simplify228.0ms (2.7%)

localize195.0ms (2.3%)

series6.0ms (0.1%)

rewrite411.0ms (4.9%)

simplify302.0ms (3.6%)

eval210.0ms (2.5%)

prune126.0ms (1.5%)

simplify217.0ms (2.6%)

localize135.0ms (1.6%)

series4.0ms (0%)

rewrite454.0ms (5.4%)

simplify273.0ms (3.2%)

eval249.0ms (3%)

prune192.0ms (2.3%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch12.0ms (0.1%)

bsearch13.0ms (0.2%)

bsearch13.0ms (0.1%)

simplify8.0ms (0.1%)

soundness1.6s (19.4%)

preprocess52.0ms (0.6%)

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