Metrics for Asymptote C

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 15 to 8 computations (46.7% 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)

sample1.2s (13.2%)

Results

580.0ms	4005×	1	valid
309.0ms	4251×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 564.0ms

ival-div: 219.0ms (38.8% of total)

ival-sub: 169.0ms (30% of total)

ival-add: 88.0ms (15.6% of total)

backward-pass: 73.0ms (12.9% of total)

const: 14.0ms (2.5% of total)

Bogosity

preprocess176.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

2612×	`sum3-define`
2376×	`fnmadd-define`
2316×	`sum5-define`
1714×	`fnmsub-define`
1714×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	32	44
2	80	40
3	207	39
4	591	39
5	1727	39
6	4639	39
7	6849	39
8	7506	39
9	7987	39
10	7987	39
0	7	13
1	15	13
2	23	13
3	40	13
4	75	13
5	136	13
6	271	13
7	590	13
8	1708	13
9	4917	13
10	5926	13
11	6343	13
0	6343	13

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

explain128.0ms (1.4%)

FPErrors

Click to see full error table

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

Results

56.0ms	244×	1	valid
39.0ms	268×	0	valid

Compiler

Compiled 84 to 23 computations (72.6% saved)

Precisions

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

ival-div: 23.0ms (56.5% of total)

ival-sub: 7.0ms (17.2% of total)

ival-add: 5.0ms (12.3% of total)

backward-pass: 5.0ms (12.3% of total)

const: 1.0ms (2.5% of total)

eval0.0ms (0%)

Compiler: Compiled 14 to 7 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.6%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 14 to 7 computations (50% saved)

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2316×	`sum5-define`
1530×	`fnmadd-define`
1412×	`sum4-define`
1164×	`sum3-define`
1004×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
1	15	33
2	23	33
3	40	33
4	75	33
5	136	33
6	271	33
7	590	33
8	1708	33
9	4917	33
10	5926	33
11	6343	33
0	6343	33

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize52.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	55.6%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Results

23.0ms	134×	0	valid
18.0ms	122×	1	valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

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

ival-div: 6.0ms (41.6% of total)

ival-sub: 4.0ms (27.7% of total)

ival-add: 2.0ms (13.9% of total)

backward-pass: 2.0ms (13.9% of total)

const: 0.0ms (0% of total)

series2.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite410.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4808×	`-lowering-.f32`
4808×	`-lowering-.f64`
4650×	`/-lowering-/.f32`
4650×	`/-lowering-/.f64`
2178×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	62	28
2	733	28
0	8181	28

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 352

Calls

Call 1

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

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

simplify211.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1900×	`sum3-define`
1716×	`sum4-define`
1630×	`-lowering-.f32`
1630×	`-lowering-.f64`
1438×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	307
1	288	282
2	725	272
3	1877	266
4	5360	266
0	8065	266

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval80.0ms (0.9%)

Compiler: Compiled 13570 to 1321 computations (90.3% saved)

prune107.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	442	9	451
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	442	10	452

Accuracy

100.0%

Counts

452 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.1%	(/.f64 (-.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
▶	48.1%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
	49.0%	(/.f64 #s(literal -3 binary64) x)
▶	54.5%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
✓	55.6%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	55.6%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
	52.1%	(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
▶	51.7%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
	52.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	52.0%	#s(literal 1 binary64)

Compiler

Compiled 206 to 129 computations (37.4% saved)

simplify215.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	128	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))

Rules

1852×	`sum5-define`
1748×	`sum4-define`
1618×	`fmsub-define`
1610×	`fnmsub-define`
1526×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	133
1	52	132
2	117	130
3	379	125
4	1177	124
5	3948	124
0	8130	124

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize262.0ms (2.8%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	78.1%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	55.6%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.9%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
✓	accuracy	100.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	55.6%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))

Results

96.0ms	52×	2	valid
57.0ms	134×	0	valid
51.0ms	70×	1	valid

Compiler

Compiled 142 to 24 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-div: 71.0ms (62.5% of total)

backward-pass: 16.0ms (14.1% of total)

ival-sub: 10.0ms (8.8% of total)

ival-add: 10.0ms (8.8% of total)

ival-mult: 6.0ms (5.3% of total)

const: 1.0ms (0.9% of total)

series6.0ms (0.1%)

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (- (/ x (+ x 1)) (/ 1 (/ (+ x -1) (+ x 1))))>
#<alt (/ 1 (/ (+ x -1) (+ x 1)))>
#<alt (/ x (+ x 1))>
#<alt (+ x 1)>
#<alt (+ 1 (* 3 x))>
#<alt (* 3 x)>
#<alt (/ (+ -3 (/ -1 x)) x)>
#<alt (+ -3 (/ -1 x))>
#<alt (/ -1 x)>
#<alt (- (/ x (+ x 1)) (/ (/ (- 1 (* x x)) (- 1 x)) (- x 1)))>
#<alt (/ (/ (- 1 (* x x)) (- 1 x)) (- x 1))>
#<alt (/ (+ x -1) (+ x 1))>
#<alt (/ (- 1 (* x x)) (- 1 x))>

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

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (+ -3 (/ -1 x)) x)
0.0ms	x	@	-inf	(/ (+ -3 (/ -1 x)) x)
0.0ms	x	@	inf	(/ (+ -3 (/ -1 x)) x)
0.0ms	x	@	-inf	(* 3 x)
0.0ms	x	@	inf	(/ (- 1 (* x x)) (- 1 x))

rewrite476.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3632×	`/-lowering-/.f32`
3632×	`/-lowering-/.f64`
2378×	`-lowering-.f32`
2378×	`-lowering-.f64`
1764×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	85
1	194	80
2	2357	80
0	9073	80

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 907

Calls

Call 1

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

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

simplify267.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2466×	`-lowering-.f32`
2466×	`-lowering-.f64`
2192×	`+-lowering-+.f64`
2192×	`+-lowering-+.f32`
1144×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	878
1	397	781
2	991	766
3	2665	754
4	7827	754
0	8183	754

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval212.0ms (2.3%)

Compiler: Compiled 40765 to 2698 computations (93.4% saved)

prune186.0ms (2%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	1336	4	1340
Fresh	1	3	4
Picked	0	5	5
Done	0	1	1
Total	1337	13	1350

Accuracy

100.0%

Counts

1350 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.9%	(/.f64 (-.f64 (/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
✓	48.1%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
	47.9%	(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
▶	49.0%	(/.f64 #s(literal -3 binary64) x)
✓	54.5%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
✓	55.6%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	55.6%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
▶	52.1%	(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
✓	51.7%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
▶	47.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
	52.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	2.8%	(*.f64 #s(literal 3 binary64) x)
✓	52.0%	#s(literal 1 binary64)

Compiler

Compiled 198 to 130 computations (34.3% saved)

simplify176.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
✓	cost-diff	0	(+.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(*.f64 x (+.f64 #s(literal 3 binary64) x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
✓	cost-diff	0	(/.f64 #s(literal -3 binary64) x)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(-.f64 (/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	256	(/.f64 (-.f64 (/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))

Rules

1804×	`sum5-define`
1614×	`-lowering-.f32`
1614×	`-lowering-.f64`
1580×	`sum4-define`
1540×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	105
1	50	101
2	121	99
3	339	95
4	714	95
5	2188	95
0	8283	95

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize160.0ms (1.7%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
✓	accuracy	100.0%	(+.f64 #s(literal 3 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
✓	accuracy	99.9%	(*.f64 x (+.f64 #s(literal 3 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal -3 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(/.f64 (-.f64 (/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	55.0%	(-.f64 (/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))

Results

54.0ms	128×	1	valid
33.0ms	124×	0	valid
2.0ms	4×	2	valid

Compiler

Compiled 109 to 21 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 17.0ms (31.1% of total)

ival-div: 16.0ms (29.3% of total)

ival-add: 12.0ms (22% of total)

backward-pass: 6.0ms (11% of total)

ival-sub: 2.0ms (3.7% of total)

const: 1.0ms (1.8% of total)

series5.0ms (0%)

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (/ (- (/ x (/ (+ x 1) (+ x -1))) (+ x 1)) (+ x -1))>
#<alt (- (/ x (/ (+ x 1) (+ x -1))) (+ x 1))>
#<alt (/ x (/ (+ x 1) (+ x -1)))>
#<alt (/ (+ x 1) (+ x -1))>
#<alt (* 3 x)>
#<alt (/ -3 x)>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (* x (+ 3 x))>
#<alt (+ 3 x)>
#<alt (* (/ 1 x) (+ -3 (/ -1 x)))>
#<alt (/ 1 x)>
#<alt (+ -3 (/ -1 x))>
#<alt (/ -1 x)>

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

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ -3 x)
0.0ms	x	@	inf	(/ -3 x)
0.0ms	x	@	-inf	(+ 1 (* x (+ 3 x)))
0.0ms	x	@	inf	(/ (- (/ x (/ (+ x 1) (+ x -1))) (+ x 1)) (+ x -1))
0.0ms	x	@	-inf	(/ (- (/ x (/ (+ x 1) (+ x -1))) (+ x 1)) (+ x -1))

rewrite446.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4408×	`-lowering-.f32`
4408×	`-lowering-.f64`
4214×	`/-lowering-/.f32`
4214×	`/-lowering-/.f64`
2030×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	85
1	149	81
2	1504	81
0	8973	81

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 688

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (-.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 (-.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (fma.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.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 x (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 x (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 x (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(+.f64 (fma.f64 x (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 x (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (fma.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(+.f64 (fma.f64 (/.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))))
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(*.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x))) x))
(.f64 (/.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))) x))
(*.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x)))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) x))))
(/.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x))))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))) (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))))
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (.f64 #s(literal -3 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -27 binary64)) (+.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 9 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x))))
(.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))

simplify281.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2800×	`+-lowering-+.f64`
2800×	`+-lowering-+.f32`
2414×	`-lowering-.f32`
2414×	`-lowering-.f64`
1222×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	851
1	424	794
2	1139	707
3	3430	692
0	8299	692

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval538.0ms (5.8%)

Compiler: Compiled 25243 to 2625 computations (89.6% saved)

prune131.0ms (1.4%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	842	2	844
Fresh	0	2	2
Picked	1	4	5
Done	0	6	6
Total	843	14	857

Accuracy

100.0%

Counts

857 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.9%	(/.f64 (-.f64 (/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
✓	48.1%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
▶	47.9%	(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
✓	49.0%	(/.f64 #s(literal -3 binary64) x)
✓	54.5%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
✓	55.6%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	55.6%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
▶	52.1%	(+.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 x #s(literal 3 binary64))))
✓	52.1%	(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
✓	51.7%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
▶	48.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
▶	52.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	2.8%	(*.f64 #s(literal 3 binary64) x)
✓	52.0%	#s(literal 1 binary64)

Compiler

Compiled 138 to 89 computations (35.5% saved)

simplify205.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(+.f64 (.f64 x x) (.f64 x #s(literal 3 binary64)))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 x #s(literal 3 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))

Rules

2526×	`sum3-define`
2012×	`fma-lowering-fma.f32`
2012×	`fma-lowering-fma.f64`
1808×	`fma-define`
1780×	`sum5-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	82
1	46	79
2	106	78
3	304	78
4	620	75
5	886	75
6	1007	75
7	1072	75
8	1160	75
9	1319	75
10	1550	75
11	2167	75
12	3859	75
13	7201	75
0	8147	75

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize135.0ms (1.5%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	99.9%	(/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 x #s(literal 3 binary64))))
✓	accuracy	99.9%	(+.f64 (.f64 x x) (.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	99.9%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

97.0ms	226×	0	valid
8.0ms	14×	2	valid
6.0ms	16×	1	valid

Compiler

Compiled 96 to 20 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-add: 16.0ms (42.8% of total)

ival-mult: 10.0ms (26.8% of total)

ival-div: 8.0ms (21.4% of total)

backward-pass: 2.0ms (5.4% of total)

const: 1.0ms (2.7% of total)

series3.0ms (0%)

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (* (+ 1 (* 3 x)) (+ 1 (* x x)))>
#<alt (+ 1 (* 3 x))>
#<alt (* 3 x)>
#<alt (+ 1 (* x x))>
#<alt (* (/ 1 x) -3)>
#<alt (/ 1 x)>
#<alt (+ 1 (+ (* x x) (* x 3)))>
#<alt (+ (* x x) (* x 3))>
#<alt (* x x)>
#<alt (* x 3)>
#<alt (/ 1 (/ x (+ -3 (/ -1 x))))>
#<alt (/ x (+ -3 (/ -1 x)))>
#<alt (+ -3 (/ -1 x))>
#<alt (/ -1 x)>

Outputs
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (* 3 (pow x 3))>
#<alt (* (pow x 3) (+ 3 (/ 1 x)))>
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))>
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))>
#<alt (* 3 (pow x 3))>
#<alt (* (pow x 3) (+ 3 (/ 1 x)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 x))>
#<alt (* x (+ 3 x))>
#<alt (* x (+ 3 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<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 (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 x) 1))>
#<alt (* (pow x 2) (- (* x (+ 3 (* -9 x))) 1))>
#<alt (* (pow x 2) (- (* x (+ 3 (* x (- (* 27 x) 9)))) 1))>
#<alt (* -1/3 x)>
#<alt (* x (- (* 1/9 (/ 1 x)) 1/3))>
#<alt (* x (- (* 1/9 (/ 1 x)) (+ 1/3 (/ 1/27 (pow x 2)))))>
#<alt (* x (- (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (pow x 3)))) (+ 1/3 (/ 1/27 (pow x 2)))))>
#<alt (* -1/3 x)>
#<alt (* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x)))))>
#<alt (/ -1 x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt (/ (- (* -3 x) 1) x)>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>

Calls

42 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ x (+ -3 (/ -1 x)))
0.0ms	x	@	0	(/ x (+ -3 (/ -1 x)))
0.0ms	x	@	-inf	(/ x (+ -3 (/ -1 x)))
0.0ms	x	@	inf	(* (+ 1 (* 3 x)) (+ 1 (* x x)))
0.0ms	x	@	-inf	(* (+ 1 (* 3 x)) (+ 1 (* x x)))

rewrite424.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3474×	`/-lowering-/.f32`
3474×	`/-lowering-/.f64`
2676×	`-lowering-.f32`
2676×	`-lowering-.f64`
2012×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	67
1	133	63
2	1132	60
0	8402	60

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 560

Calls

Call 1

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

Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 x x)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 3 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x x))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 x x)))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 x x))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x x))))
(fma.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 x x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 3 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (*.f64 x x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 x x)))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) x) x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 x x))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 (.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) x))))
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(.f64 (+.f64 #s(literal -27 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x))))
(.f64 (+.f64 #s(literal -27 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) x)))))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -27 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -27 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))

simplify247.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3422×	`-lowering-.f32`
3422×	`-lowering-.f64`
2544×	`+-lowering-+.f64`
2544×	`+-lowering-+.f32`
1000×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	840
1	381	718
2	1153	668
3	4184	656
0	8201	656

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(* 3 (pow x 3))
(* (pow x 3) (+ 3 (/ 1 x)))
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(* 3 (pow x 3))
(* (pow x 3) (+ 3 (/ 1 x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))
1
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* 3 x)
(* x (+ 3 x))
(* x (+ 3 x))
(* x (+ 3 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(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)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (pow x 2))
(* (pow x 2) (- (* 3 x) 1))
(* (pow x 2) (- (* x (+ 3 (* -9 x))) 1))
(* (pow x 2) (- (* x (+ 3 (* x (- (* 27 x) 9)))) 1))
(* -1/3 x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* x (- (* 1/9 (/ 1 x)) (+ 1/3 (/ 1/27 (pow x 2)))))
(* x (- (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (pow x 3)))) (+ 1/3 (/ 1/27 (pow x 2)))))
(* -1/3 x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x)))))
(/ -1 x)
(/ (- (* -3 x) 1) x)
(/ (- (* -3 x) 1) x)
(/ (- (* -3 x) 1) x)
-3
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
-3
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(* -1 (+ 3 (/ 1 x)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(+ 1 (* x (+ 3 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(* 3 (pow x 3))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 3 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))))
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(.f64 x (+.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))))
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(* 3 (pow x 3))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 3 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))
(.f64 x (+.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (+ 3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(+ 1 (* x (+ 3 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(+ 1 (* x (+ 3 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 x))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* x (+ 3 x))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* x (+ 3 x))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) 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)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3 x) 1))
(.f64 (.f64 x x) (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)))
(* (pow x 2) (- (* x (+ 3 (* -9 x))) 1))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -9 binary64))))))
(* (pow x 2) (- (* x (+ 3 (* x (- (* 27 x) 9)))) 1))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -9 binary64) (*.f64 x #s(literal 27 binary64))))))))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* x (- (* 1/9 (/ 1 x)) (+ 1/3 (/ 1/27 (pow x 2)))))
(-.f64 (*.f64 x #s(literal -1/3 binary64)) (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)))
(* x (- (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (pow x 3)))) (+ 1/3 (/ 1/27 (pow x 2)))))
(+.f64 (-.f64 (.f64 x #s(literal -1/3 binary64)) (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (.f64 x x)))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* -1 (* x (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)))))
(-.f64 (*.f64 x #s(literal -1/3 binary64)) (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x)))))
(+.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -3 x) 1) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* -3 x) 1) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* -3 x) 1) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)

eval123.0ms (1.3%)

Compiler: Compiled 16914 to 1652 computations (90.2% saved)

prune177.0ms (1.9%)

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	750	2	752
Fresh	0	0	0
Picked	1	3	4
Done	1	9	10
Total	752	14	766

Accuracy

100.0%

Counts

766 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.1%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
	55.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))
✓	49.0%	(/.f64 #s(literal -3 binary64) x)
✓	54.5%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
✓	55.6%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	55.6%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
	51.9%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 3 binary64) x)))
✓	52.1%	(+.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 x #s(literal 3 binary64))))
✓	52.1%	(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
✓	51.7%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
✓	48.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
✓	52.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	2.8%	(*.f64 #s(literal 3 binary64) x)
✓	52.0%	#s(literal 1 binary64)

Compiler

Compiled 309 to 142 computations (54% saved)

regimes11.0ms (0.1%)

Counts

18 → 2

Calls

Call 1

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

Outputs

(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
100.0%	3	`x`
99.6%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 16 to 8 computations (50% saved)

regimes6.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
99.6%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 7 computations (50% saved)

regimes5.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

Outputs

(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)

(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))

(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

11 → 3

Calls

Call 1

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

Outputs

(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)

(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))

(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 3

Calls

Call 1

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

Outputs

(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))

(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))

(/.f64 #s(literal -3 binary64) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal -3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))

Outputs
(/.f64 #s(literal -3 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal -3 binary64) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -31.5b remaining (-102.8%)

Threshold costs -31.5b (-102.8%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) x)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
52.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.6048834977920876e-8	0.8802516110857608

Compiler

Compiled 18 to 10 computations (44.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.6048834977920876e-8	0.8802516110857608

Compiler

Compiled 18 to 10 computations (44.4% saved)

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.1122291594816957	1467838497.7913852
14.0ms	-115168297.70516376	-0.3608572878283254

Results

18.0ms

304×

valid

Compiler

Compiled 436 to 314 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 6.0ms (53.2% of total)

ival-sub: 3.0ms (26.6% of total)

ival-add: 2.0ms (17.7% of total)

const: 0.0ms (0% of total)

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

bsearch61.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.1122291594816957	1467838497.7913852
31.0ms	-115168297.70516376	-0.3608572878283254

Results

35.0ms

304×

valid

Compiler

Compiled 360 to 276 computations (23.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-add: 20.0ms (70.8% of total)

ival-div: 5.0ms (17.7% of total)

ival-sub: 3.0ms (10.6% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.1122291594816957	1467838497.7913852
13.0ms	-115168297.70516376	-0.3608572878283254

Results

18.0ms

304×

valid

Compiler

Compiled 320 to 255 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 5.0ms (46.2% of total)

ival-sub: 4.0ms (36.9% of total)

ival-add: 2.0ms (18.5% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.1122291594816957	1467838497.7913852
12.0ms	-115168297.70516376	-0.3608572878283254

Results

22.0ms

304×

valid

Compiler

Compiled 284 to 219 computations (22.9% saved)

Precisions

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

ival-div: 10.0ms (68.3% of total)

ival-sub: 3.0ms (20.5% of total)

ival-add: 2.0ms (13.7% of total)

const: 0.0ms (0% of total)

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

bsearch61.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	0.1122291594816957	1467838497.7913852
12.0ms	-115168297.70516376	-0.3608572878283254

Results

16.0ms

304×

valid

Compiler

Compiled 246 to 200 computations (18.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 5.0ms (52.8% of total)

ival-sub: 3.0ms (31.7% of total)

ival-add: 2.0ms (21.1% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.1122291594816957	1467838497.7913852
14.0ms	-115168297.70516376	-0.3608572878283254

Results

19.0ms

304×

valid

Compiler

Compiled 170 to 143 computations (15.9% saved)

Precisions

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

ival-div: 7.0ms (60% of total)

ival-sub: 3.0ms (25.7% of total)

ival-add: 2.0ms (17.2% of total)

const: 0.0ms (0% of total)

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative_binary64`
18×	`*-commutative_binary64`
18×	`sub-neg_binary64`
12×	`distribute-neg-in_binary64`
12×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	201
1	77	201
2	92	201
3	114	201
4	124	201
5	127	201
6	128	201

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 944473296573929/18889465931478580854784 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 (-.f64 (/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 944473296573929/18889465931478580854784 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64)))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)))
#s(literal 1 binary64)

Outputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 944473296573929/18889465931478580854784 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 (-.f64 (/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 944473296573929/18889465931478580854784 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 (+.f64 (/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 944473296573929/18889465931478580854784 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 944473296573929/18889465931478580854784 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64)))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64)))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x) (if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)))
#s(literal 1 binary64)

soundness1.7s (18.5%)

Rules

4808×	`-lowering-.f32`
4808×	`-lowering-.f64`
4650×	`/-lowering-/.f32`
4650×	`/-lowering-/.f64`
3632×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	85
1	194	80
2	2357	80
0	9073	80
0	95	307
1	288	282
2	725	272
3	1877	266
4	5360	266
0	8065	266
0	116	840
1	381	718
2	1153	668
3	4184	656
0	8201	656
0	7	28
1	62	28
2	733	28
0	8181	28

Stop Event

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

Compiler

Compiled 357 to 151 computations (57.7% saved)

preprocess58.0ms (0.6%)

Compiler: Compiled 468 to 112 computations (76.1% saved)

analyze3.0ms (0%)

sample1.2s (13.2%)

preprocess176.0ms (1.9%)

explain128.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify90.0ms (1%)

localize52.0ms (0.6%)

series2.0ms (0%)

rewrite410.0ms (4.4%)

simplify211.0ms (2.3%)

eval80.0ms (0.9%)

prune107.0ms (1.2%)

simplify215.0ms (2.3%)

localize262.0ms (2.8%)

series6.0ms (0.1%)

rewrite476.0ms (5.1%)

simplify267.0ms (2.9%)

eval212.0ms (2.3%)

prune186.0ms (2%)

simplify176.0ms (1.9%)

localize160.0ms (1.7%)

series5.0ms (0%)

rewrite446.0ms (4.8%)

simplify281.0ms (3%)

eval538.0ms (5.8%)

prune131.0ms (1.4%)

simplify205.0ms (2.2%)

localize135.0ms (1.5%)

series3.0ms (0%)

rewrite424.0ms (4.6%)

simplify247.0ms (2.7%)

eval123.0ms (1.3%)

prune177.0ms (1.9%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch31.0ms (0.3%)

bsearch61.0ms (0.7%)

bsearch31.0ms (0.3%)

bsearch34.0ms (0.4%)

bsearch61.0ms (0.7%)

bsearch31.0ms (0.3%)

simplify55.0ms (0.6%)

soundness1.7s (18.5%)

preprocess58.0ms (0.6%)

end0.0ms (0%)

Profiling