Metrics for Asymptote C

analyze18.0ms (0.3%)

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: 16.0ms

ival-sub: 15.0ms (92.1% of total)

ival-div: 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)

sample1.1s (17.6%)

Results

582.0ms	4063×	1	valid
249.0ms	4193×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 580.0ms

ival-div: 248.0ms (42.7% of total)

ival-sub: 142.0ms (24.5% of total)

ival-add: 121.0ms (20.9% of total)

backward-pass: 56.0ms (9.7% of total)

const: 13.0ms (2.2% of total)

Bogosity

preprocess188.0ms (3.1%)

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)))

explain111.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
131	-	-	`(-.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

41.0ms	262×	1	valid
18.0ms	250×	0	valid

Compiler

Compiled 84 to 23 computations (72.6% saved)

Precisions

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

ival-div: 12.0ms (39.6% of total)

ival-sub: 8.0ms (26.4% of total)

ival-add: 5.0ms (16.5% of total)

backward-pass: 5.0ms (16.5% of total)

const: 1.0ms (3.3% 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
▶	52.3%	(-.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)

simplify139.0ms (2.3%)

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))

localize39.0ms (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 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
✓	accuracy	52.3%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Results

20.0ms	131×	1	valid
8.0ms	125×	0	valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

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

ival-div: 6.0ms (40.3% of total)

ival-sub: 4.0ms (26.8% of total)

ival-add: 3.0ms (20.1% of total)

backward-pass: 2.0ms (13.4% 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))

rewrite388.0ms (6.3%)

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	729	28
0	8153	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 #s(literal 0 binary64) (+.f64 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 #s(literal 0 binary64) (+.f64 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 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.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 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 0 binary64) (+.f64 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 #s(literal 0 binary64) (+.f64 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 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 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 #s(literal 0 binary64) (+.f64 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 #s(literal 0 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 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 #s(literal 0 binary64) (+.f64 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 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 0 binary64) (+.f64 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 #s(literal 0 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 (/.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 (.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 #s(literal 0 binary64) (+.f64 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 #s(literal 0 binary64) (+.f64 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 #s(literal 0 binary64) (+.f64 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 #s(literal 0 binary64) (+.f64 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))))

simplify233.0ms (3.8%)

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	290
2	724	278
3	1876	266
4	5360	266
0	8068	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 #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)
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))

eval52.0ms (0.9%)

Compiler: Compiled 13570 to 1323 computations (90.3% saved)

prune71.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	443	8	451
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	443	9	452

Accuracy

100.0%

Counts

452 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.4%	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
	51.6%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
▶	52.4%	(/.f64 #s(literal -3 binary64) x)
✓	52.3%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	52.1%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
▶	49.5%	(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
	49.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
▶	49.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	49.5%	#s(literal 1 binary64)

Compiler

Compiled 150 to 103 computations (31.3% saved)

simplify149.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

2536×	`sum4-define`
1788×	`sum3-define`
1636×	`sum5-define`
1522×	`fma-lowering-fma.f32`
1522×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	94
1	54	87
2	157	87
3	425	87
4	894	87
5	1696	87
6	2423	87
7	4434	87
8	7407	87
0	8244	87

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize173.0ms (2.8%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	52.3%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	99.8%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 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)

Results

55.0ms	68×	2	valid
37.0ms	85×	1	valid
23.0ms	103×	0	valid

Compiler

Compiled 99 to 21 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-add: 20.0ms (31.9% of total)

ival-div: 15.0ms (23.9% of total)

ival-mult: 15.0ms (23.9% of total)

backward-pass: 9.0ms (14.4% of total)

ival-sub: 2.0ms (3.2% of total)

const: 1.0ms (1.6% of total)

series5.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite397.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3622×	`/-lowering-/.f32`
3622×	`/-lowering-/.f64`
3466×	`-lowering-.f32`
3466×	`-lowering-.f64`
1894×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	79
1	148	72
2	1470	72
0	8176	72

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 723

Calls

Call 1

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

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

simplify215.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2706×	`-lowering-.f32`
2706×	`-lowering-.f64`
1402×	`+-lowering-+.f64`
1402×	`+-lowering-+.f32`
1342×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	909
1	447	803
2	1279	777
3	4561	774
0	8300	774

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval161.0ms (2.6%)

Compiler: Compiled 27262 to 2543 computations (90.7% saved)

prune187.0ms (3.1%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	948	2	950
Fresh	1	2	3
Picked	0	5	5
Done	0	1	1
Total	949	10	959

Accuracy

100.0%

Counts

959 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.4%	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
▶	51.6%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓	52.4%	(/.f64 #s(literal -3 binary64) x)
✓	52.3%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	52.1%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
▶	49.5%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (.f64 x x))
✓	49.5%	(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
▶	49.0%	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
✓	49.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	49.5%	#s(literal 1 binary64)

Compiler

Compiled 92 to 62 computations (32.6% saved)

simplify236.0ms (3.9%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

2266×	`fmsub-define`
2206×	`fnmsub-define`
2114×	`fmm-def`
1892×	`fma-lowering-fma.f32`
1892×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	17	90
1	32	87
2	57	86
3	92	86
4	146	86
5	236	86
6	445	86
7	1162	84
8	4231	84
9	5909	84
10	6988	84
11	7560	84
12	7674	84
13	7709	84
0	8155	84

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize105.0ms (1.7%)

Localize:

Found 13 expressions of interest:

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

Results

56.0ms	226×	0	valid
21.0ms	18×	2	valid
4.0ms	12×	1	valid

Compiler

Compiled 93 to 18 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 29.0ms (66.4% of total)

ival-add: 6.0ms (13.7% of total)

ival-mult: 5.0ms (11.4% of total)

backward-pass: 2.0ms (4.6% of total)

const: 1.0ms (2.3% of total)

ival-sub: 1.0ms (2.3% of total)

series5.0ms (0.1%)

Counts

11 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite353.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4560×	`/-lowering-/.f32`
4560×	`/-lowering-/.f64`
3614×	`-lowering-.f32`
3614×	`-lowering-.f64`
2074×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	66
1	119	64
2	1143	63
0	8569	63

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 408

Calls

Call 1

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

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

simplify281.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

2706×	`-lowering-.f32`
2706×	`-lowering-.f64`
1472×	`+-lowering-+.f64`
1472×	`+-lowering-+.f32`
1436×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	690
1	151	674
2	384	608
3	1130	608
4	3076	608
0	8976	608

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval138.0ms (2.3%)

Compiler: Compiled 12389 to 1339 computations (89.2% saved)

prune103.0ms (1.7%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	603	0	603
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	603	10	613

Accuracy

100.0%

Counts

613 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.4%	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) x)) x)
✓	51.6%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓	52.4%	(/.f64 #s(literal -3 binary64) x)
✓	52.3%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	52.1%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
✓	49.5%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (.f64 x x))
✓	49.5%	(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)))
✓	49.0%	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
✓	49.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	49.5%	#s(literal 1 binary64)

Compiler

Compiled 180 to 96 computations (46.7% saved)

regimes9.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

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

Outputs

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

2 calls:

4.0ms	x
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
100.0%	3	`x`
100.0%	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)

regimes4.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
#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 x #s(literal 3 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)

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 #s(literal -3 binary64) x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.5%	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 1 binary64) (*.f64 #s(literal 3 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(+.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:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	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 1 binary64) (*.f64 #s(literal 3 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))

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
98.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
49.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.306268613392007e-8	0.9684045695348558

Compiler

Compiled 18 to 10 computations (44.4% saved)

bsearch35.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.00020293990753566323	8.483163221206413e+24
15.0ms	-56536903.90931633	-0.010567860524590583

Results

19.0ms	320×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 476 to 343 computations (27.9% saved)

Precisions

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

ival-div: 5.0ms (41% of total)

ival-sub: 4.0ms (32.8% of total)

ival-add: 2.0ms (16.4% of total)

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.00020293990753566323	8.483163221206413e+24
15.0ms	-56536903.90931633	-0.010567860524590583

Results

19.0ms	320×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 436 to 313 computations (28.2% saved)

Precisions

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

ival-div: 5.0ms (44% of total)

ival-sub: 3.0ms (26.4% of total)

ival-add: 2.0ms (17.6% of total)

const: 0.0ms (0% of total)

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

bsearch44.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.00020293990753566323	8.483163221206413e+24
14.0ms	-56536903.90931633	-0.010567860524590583

Results

17.0ms	320×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 394 to 292 computations (25.9% saved)

Precisions

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

ival-div: 5.0ms (44.6% of total)

ival-sub: 3.0ms (26.8% of total)

ival-add: 2.0ms (17.9% of total)

const: 0.0ms (0% of total)

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

bsearch72.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	0.00020293990753566323	8.483163221206413e+24
28.0ms	-56536903.90931633	-0.010567860524590583

Results

17.0ms	320×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 352 to 271 computations (23% saved)

Precisions

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

ival-div: 5.0ms (44.2% of total)

ival-sub: 3.0ms (26.5% of total)

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

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.00020293990753566323	8.483163221206413e+24
14.0ms	-56536903.90931633	-0.010567860524590583

Results

19.0ms	320×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 312 to 241 computations (22.8% saved)

Precisions

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

ival-div: 5.0ms (44% of total)

ival-sub: 3.0ms (26.4% of total)

ival-add: 2.0ms (17.6% of total)

const: 0.0ms (0% of total)

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

bsearch68.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	0.00020293990753566323	8.483163221206413e+24
37.0ms	-56536903.90931633	-0.010567860524590583

Results

52.0ms	320×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 270 to 220 computations (18.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 29.0ms (62.4% of total)

ival-sub: 15.0ms (32.3% of total)

ival-add: 2.0ms (4.3% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.00020293990753566323	8.483163221206413e+24
14.0ms	-56536903.90931633	-0.010567860524590583

Results

17.0ms	320×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 186 to 157 computations (15.6% saved)

Precisions

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

ival-div: 5.0ms (44.1% of total)

ival-sub: 3.0ms (26.5% of total)

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

const: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

44×	`+-commutative_binary64`
26×	`sub-neg_binary64`
24×	`*-commutative_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	204
1	74	204
2	91	204
3	118	204
4	139	204
5	148	204
6	152	204
7	153	204

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 944473296573929/9444732965739290427392 binary64)) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) 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 #s(literal -3 binary64) 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 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -3 binary64) 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 x x)) (/.f64 #s(literal -3 binary64) 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 #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 944473296573929/9444732965739290427392 binary64)) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) 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 944473296573929/9444732965739290427392 binary64)) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) 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 #s(literal -3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) 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 #s(literal -3 binary64) 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 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -3 binary64) 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 #s(literal -3 binary64) 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 x x)) (/.f64 #s(literal -3 binary64) 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 #s(literal -3 binary64) 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 #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)

soundness871.0ms (14.2%)

Rules

3622×	`/-lowering-/.f32`
3622×	`/-lowering-/.f64`
3466×	`-lowering-.f32`
3466×	`-lowering-.f64`
1900×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	79
1	148	72
2	1470	72
0	8176	72
0	95	307
1	288	290
2	724	278
3	1876	266
4	5360	266
0	8068	266

Stop Event

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

Compiler

Compiled 331 to 135 computations (59.2% saved)

preprocess53.0ms (0.9%)

Compiler: Compiled 450 to 106 computations (76.4% saved)

analyze18.0ms (0.3%)

sample1.1s (17.6%)

preprocess188.0ms (3.1%)

explain111.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify139.0ms (2.3%)

localize39.0ms (0.6%)

series2.0ms (0%)

rewrite388.0ms (6.3%)

simplify233.0ms (3.8%)

eval52.0ms (0.9%)

prune71.0ms (1.2%)

simplify149.0ms (2.4%)

localize173.0ms (2.8%)

series5.0ms (0.1%)

rewrite397.0ms (6.5%)

simplify215.0ms (3.5%)

eval161.0ms (2.6%)

prune187.0ms (3.1%)

simplify236.0ms (3.9%)

localize105.0ms (1.7%)

series5.0ms (0.1%)

rewrite353.0ms (5.8%)

simplify281.0ms (4.6%)

eval138.0ms (2.3%)

prune103.0ms (1.7%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch35.0ms (0.6%)

bsearch36.0ms (0.6%)

bsearch44.0ms (0.7%)

bsearch72.0ms (1.2%)

bsearch34.0ms (0.6%)

bsearch68.0ms (1.1%)

bsearch37.0ms (0.6%)

simplify13.0ms (0.2%)

soundness871.0ms (14.2%)

preprocess53.0ms (0.9%)

end0.0ms (0%)

Profiling