Metrics for Asymptote A

analyze3.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.3s (17.9%)

Results

679.0ms	3950×	1	valid
350.0ms	4306×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 716.0ms

ival-div: 325.0ms (45.4% of total)

ival-sub: 205.0ms (28.6% of total)

ival-add: 120.0ms (16.7% of total)

backward-pass: 53.0ms (7.4% of total)

const: 13.0ms (1.8% of total)

Bogosity

preprocess46.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs x)

explain120.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
65	-	-	`(-.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

50.0ms	258×	1	valid
38.0ms	254×	0	valid

Compiler

Compiled 74 to 23 computations (68.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-add: 23.0ms (37.3% of total)

backward-pass: 18.0ms (29.2% of total)

ival-div: 11.0ms (17.8% of total)

ival-sub: 8.0ms (13% of total)

const: 1.0ms (1.6% 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
▶	77.6%	(-.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)

simplify45.0ms (0.6%)

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))

localize49.0ms (0.7%)

Localize:

Found 4 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 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	77.6%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

30.0ms	129×	1	valid
8.0ms	127×	0	valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 5.0ms (35.8% of total)

ival-sub: 4.0ms (28.7% of total)

ival-add: 2.0ms (14.3% of total)

backward-pass: 2.0ms (14.3% of total)

const: 0.0ms (0% of total)

series2.0ms (0%)

Counts

5 → 60

Calls

Call 1

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

15 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)

rewrite301.0ms (4.2%)

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	23
1	63	23
2	701	23
0	9059	23

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 435

Calls

Call 1

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

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

simplify229.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2368×	`-lowering-.f32`
2368×	`-lowering-.f64`
1758×	`+-lowering-+.f64`
1758×	`+-lowering-+.f32`
1594×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	404
1	251	385
2	689	366
3	2214	351
4	6998	351
0	8099	351

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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

eval90.0ms (1.2%)

Compiler: Compiled 13372 to 1494 computations (88.8% saved)

prune108.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	489	6	495
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	489	7	496

Accuracy

99.0%

Counts

496 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.3%	(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
▶	50.5%	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
	81.3%	(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal -1 binary64) x))
▶	50.5%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	77.6%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶	49.4%	(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
▶	49.6%	#s(literal 2 binary64)

Compiler

Compiled 136 to 81 computations (40.4% saved)

simplify257.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize134.0ms (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	98.9%	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
✓	accuracy	98.8%	(/.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	98.8%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x)))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	51.9%	(+.f64 x (-.f64 #s(literal -1 binary64) x))

Results

85.0ms	124×	1	valid
21.0ms	132×	0	valid

Compiler

Compiled 108 to 19 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-sub: 11.0ms (26.1% of total)

ival-add: 10.0ms (23.7% of total)

ival-div: 9.0ms (21.4% of total)

backward-pass: 5.0ms (11.9% of total)

ival-mult: 5.0ms (11.9% of total)

const: 1.0ms (2.4% of total)

series5.0ms (0.1%)

Counts

10 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite422.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 648

Calls

Call 1

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

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

simplify266.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval155.0ms (2.2%)

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

prune109.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	869	3	872
Fresh	1	0	1
Picked	2	3	5
Done	1	0	1
Total	873	6	879

Accuracy

100.0%

Counts

879 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
▶	51.5%	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
▶	64.6%	(/.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))
✓	50.5%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	49.4%	(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
✓	49.6%	#s(literal 2 binary64)

Compiler

Compiled 60 to 39 computations (35% saved)

simplify271.0ms (3.8%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
✓	cost-diff	384	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x)))
✓	cost-diff	384	(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
✓	cost-diff	384	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x))))
✓	cost-diff	512	(/.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))

Rules

2126×	`-lowering-.f32`
2126×	`-lowering-.f64`
1988×	`fma-define`
1976×	`+-lowering-+.f64`
1976×	`+-lowering-+.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	110
1	60	107
2	134	107
3	358	101
4	1033	101
5	2644	99
0	8499	99

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize100.0ms (1.4%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
✓	accuracy	99.9%	(/.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
✓	accuracy	65.4%	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x))))

Results

54.0ms

256×

valid

Compiler

Compiled 152 to 23 computations (84.9% saved)

Precisions

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

ival-div: 11.0ms (35.8% of total)

ival-add: 11.0ms (35.8% of total)

ival-mult: 7.0ms (22.8% of total)

ival-sub: 1.0ms (3.3% of total)

const: 1.0ms (3.3% of total)

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

series4.0ms (0.1%)

Counts

11 → 132

Calls

Call 1

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

Outputs
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt -2>
#<alt (- (* 2 x) 2)>
#<alt (- (* x (+ 2 (* -2 x))) 2)>
#<alt (- (* x (+ 2 (* x (- (* 2 x) 2)))) 2)>
#<alt (/ -2 x)>
#<alt (/ (- (* 2 (/ 1 x)) 2) x)>
#<alt (/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)>
#<alt (/ (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 2 (/ 2 (pow x 2)))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (- 2 (* 2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) x))>
#<alt -2>
#<alt (- (* 2 (pow x 3)) 2)>
#<alt (- (* (pow x 3) (+ 2 (* -2 (pow x 3)))) 2)>
#<alt (- (* (pow x 3) (+ 2 (* (pow x 3) (- (* 2 (pow x 3)) 2)))) 2)>
#<alt (/ -2 (pow x 3))>
#<alt (/ (- (* 2 (/ 1 (pow x 3))) 2) (pow x 3))>
#<alt (/ (- (* 2 (/ 1 (pow x 3))) (+ 2 (/ 2 (pow x 6)))) (pow x 3))>
#<alt (/ (- (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 (pow x 9)))) (+ 2 (/ 2 (pow x 6)))) (pow x 3))>
#<alt (/ -2 (pow x 3))>
#<alt (* -1 (/ (- 2 (* 2 (/ 1 (pow x 3)))) (pow x 3)))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 (pow x 3)))) (pow x 3)))) (pow x 3)))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 (pow x 3)))) (pow x 3)))) (pow x 3)))) (pow x 3)))>
#<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))>
#<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>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt -2>
#<alt (- (* 2 x) 2)>
#<alt (- (* x (+ 2 (* -2 x))) 2)>
#<alt (- (* x (+ 2 (* x (- (* 2 x) 2)))) 2)>
#<alt (/ -2 x)>
#<alt (/ (- (* 2 (/ 1 x)) 2) x)>
#<alt (/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)>
#<alt (/ (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 2 (/ 2 (pow x 2)))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (- 2 (* 2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (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

33 calls:

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

rewrite83.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`/-lowering-/.f32`
682×	`/-lowering-/.f64`
632×	`-lowering-.f32`
632×	`-lowering-.f64`
270×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	93
1	185	53
0	1441	53

Stop Event

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

Counts

11 → 284

Calls

Call 1

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

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

simplify267.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2454×	`-lowering-.f32`
2454×	`-lowering-.f64`
1622×	`fma-lowering-fma.f32`
1622×	`fma-lowering-fma.f64`
1566×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	885
1	329	848
2	990	819
3	3158	813
0	8294	813

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* -2 x))) 2)
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 2)
(/ -2 x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)
(/ (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 2 (/ 2 (pow x 2)))) x)
(/ -2 x)
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))
(* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) x))
-2
(- (* 2 (pow x 3)) 2)
(- (* (pow x 3) (+ 2 (* -2 (pow x 3)))) 2)
(- (* (pow x 3) (+ 2 (* (pow x 3) (- (* 2 (pow x 3)) 2)))) 2)
(/ -2 (pow x 3))
(/ (- (* 2 (/ 1 (pow x 3))) 2) (pow x 3))
(/ (- (* 2 (/ 1 (pow x 3))) (+ 2 (/ 2 (pow x 6)))) (pow x 3))
(/ (- (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 (pow x 9)))) (+ 2 (/ 2 (pow x 6)))) (pow x 3))
(/ -2 (pow x 3))
(* -1 (/ (- 2 (* 2 (/ 1 (pow x 3)))) (pow x 3)))
(* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 (pow x 3)))) (pow x 3)))) (pow x 3)))
(* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 (pow x 3)))) (pow x 3)))) (pow x 3)))) (pow x 3)))
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-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
(+ 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)))
(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 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))) (.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))) (.f64 x x))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x))
(- (* x (+ 2 (* -2 x))) 2)
(+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))))
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 2)
(+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x))))))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)
(/ (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 2 (/ 2 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)
(* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)) x)
-2
#s(literal -2 binary64)
(- (* 2 (pow x 3)) 2)
(+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))))
(- (* (pow x 3) (+ 2 (* -2 (pow x 3)))) 2)
(+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -2 binary64)))))))
(- (* (pow x 3) (+ 2 (* (pow x 3) (- (* 2 (pow x 3)) 2)))) 2)
(+.f64 #s(literal -2 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -2 binary64) (.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 (/ 1 (pow x 3))) 2) (pow x 3))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))
(/ (- (* 2 (/ 1 (pow x 3))) (+ 2 (/ 2 (pow x 6)))) (pow x 3))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))
(/ (- (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 (pow x 9)))) (+ 2 (/ 2 (pow x 6)))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 x (.f64 x x)))
(/ -2 (pow x 3))
(/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (- 2 (* 2 (/ 1 (pow x 3)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))
(* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 (pow x 3)))) (pow x 3)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))
(* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 (pow x 3)))) (pow x 3)))) (pow x 3)))) (pow x 3)))
(/.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 (.f64 x x)))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
(/ -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
#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 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))) (.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))) (.f64 x x))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x))
(- (* x (+ 2 (* -2 x))) 2)
(+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))))
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 2)
(+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x))))))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* 2 (/ 1 x)) 2) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* 2 (/ 1 x)) (+ 2 (/ 2 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)
(/ (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 2 (/ 2 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 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))
(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))

eval77.0ms (1.1%)

Compiler: Compiled 8801 to 674 computations (92.3% saved)

prune44.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	447	1	448
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	448	6	454

Accuracy

100.0%

Counts

454 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
✓	51.5%	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
▶	17.7%	(/.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))
✓	50.5%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	49.4%	(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
✓	49.6%	#s(literal 2 binary64)

Compiler

Compiled 52 to 36 computations (30.8% saved)

simplify160.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2142×	`-lowering-.f32`
2142×	`-lowering-.f64`
1874×	`fma-define`
1488×	`fma-lowering-fma.f32`
1488×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	38	60
2	126	60
3	466	57
4	1490	56
5	3872	56
6	7491	56
0	8018	56

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize55.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.3%	(/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x)))
✓	accuracy	65.4%	(.f64 (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x))))

Results

40.0ms

256×

valid

Compiler

Compiled 73 to 14 computations (80.8% saved)

Precisions

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

ival-mult: 13.0ms (48.9% of total)

ival-div: 9.0ms (33.8% of total)

ival-add: 4.0ms (15% of total)

const: 1.0ms (3.8% of total)

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

series3.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite447.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5454×	`-lowering-.f32`
5454×	`-lowering-.f64`
4576×	`/-lowering-/.f32`
4576×	`/-lowering-/.f64`
1726×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	82	36
2	829	36
0	9130	36

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 586

Calls

Call 1

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

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

simplify219.0ms (3%)

Algorithm

1×	egg-herbie

Rules

3668×	`-lowering-.f32`
3668×	`-lowering-.f64`
1138×	`fma-lowering-fma.f32`
1138×	`fma-lowering-fma.f64`
1114×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	361
1	175	345
2	530	341
3	1405	337
4	5120	334
0	8372	334

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval89.0ms (1.2%)

Compiler: Compiled 19479 to 1896 computations (90.3% saved)

prune94.0ms (1.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	634	0	634
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	634	6	640

Accuracy

100.0%

Counts

640 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
✓	51.5%	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
✓	17.7%	(/.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))
✓	50.5%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓	49.4%	(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
✓	49.6%	#s(literal 2 binary64)

Compiler

Compiled 180 to 81 computations (55% saved)

regimes8.0ms (0.1%)

Counts

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

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

Calls

2 calls:

4.0ms	x
3.0ms	(-.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)

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
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes26.0ms (0.4%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	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:

2.0ms

Results

Accuracy	Segments	Branch
98.3%	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
49.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.010567860524590583	56536903.90931633

Results

8.0ms

160×

valid

Compiler

Compiled 176 to 120 computations (31.8% saved)

Precisions

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

ival-div: 2.0ms (42.2% of total)

ival-sub: 1.0ms (21.1% of total)

ival-add: 1.0ms (21.1% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.010567860524590583	56536903.90931633

Results

8.0ms

160×

valid

Compiler

Compiled 116 to 90 computations (22.4% saved)

Precisions

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

ival-div: 2.0ms (43.3% of total)

ival-sub: 1.0ms (21.6% of total)

ival-add: 1.0ms (21.6% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.010567860524590583	56536903.90931633

Results

11.0ms

160×

valid

Compiler

Compiled 116 to 90 computations (22.4% saved)

Precisions

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

ival-div: 2.0ms (41.2% of total)

ival-sub: 1.0ms (20.6% of total)

ival-add: 1.0ms (20.6% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	26	46

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.5s (21.1%)

Rules

4484×	`/-lowering-/.f32`
4484×	`/-lowering-/.f64`
3716×	`-lowering-.f32`
3716×	`-lowering-.f64`
3530×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	740
1	223	700
2	617	660
3	1672	638
4	5837	638
0	8014	638
0	83	404
1	251	385
2	689	366
3	2214	351
4	6998	351
0	8099	351
0	18	76
1	143	70
2	1421	67
0	8677	67
0	7	23
1	63	23
2	701	23
0	9059	23

Stop Event

1×	done
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 102 to 59 computations (42.2% saved)

preprocess30.0ms (0.4%)

Compiler: Compiled 138 to 68 computations (50.7% saved)

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

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

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

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

analyze3.0ms (0%)

sample1.3s (17.9%)

preprocess46.0ms (0.6%)

explain120.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify45.0ms (0.6%)

localize49.0ms (0.7%)

series2.0ms (0%)

rewrite301.0ms (4.2%)

simplify229.0ms (3.2%)

eval90.0ms (1.2%)

prune108.0ms (1.5%)

simplify257.0ms (3.6%)

localize134.0ms (1.9%)

series5.0ms (0.1%)

rewrite422.0ms (5.9%)

simplify266.0ms (3.7%)

eval155.0ms (2.2%)

prune109.0ms (1.5%)

simplify271.0ms (3.8%)

localize100.0ms (1.4%)

series4.0ms (0.1%)

rewrite83.0ms (1.2%)

simplify267.0ms (3.7%)

eval77.0ms (1.1%)

prune44.0ms (0.6%)

simplify160.0ms (2.2%)

localize55.0ms (0.8%)

series3.0ms (0%)

rewrite447.0ms (6.2%)

simplify219.0ms (3%)

eval89.0ms (1.2%)

prune94.0ms (1.3%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes26.0ms (0.4%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch15.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch18.0ms (0.2%)

simplify7.0ms (0.1%)

soundness1.5s (21.1%)

preprocess30.0ms (0.4%)

end0.0ms (0%)

Profiling

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

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