Metrics for 3frac (problem 3.3.3)

analyze8.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
75%	37.5%	12.5%	50%	0%	0%	0%	3
87.5%	43.8%	6.3%	50%	0%	0%	0%	4
93.8%	46.9%	3.1%	50%	0%	0%	0%	5
96.9%	48.4%	1.6%	50%	0%	0%	0%	6
98.4%	49.2%	0.8%	50%	0%	0%	0%	7
99.2%	49.6%	0.4%	50%	0%	0%	0%	8
99.6%	49.8%	0.2%	50%	0%	0%	0%	9
99.8%	49.9%	0.1%	50%	0%	0%	0%	10
99.9%	50%	0%	50%	0%	0%	0%	11
100%	50%	0%	50%	0%	0%	0%	12

Compiler

Compiled 20 to 12 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-fabs: 3.0ms (54.1% of total)

ival-div: 1.0ms (18% of total)

ival-add: 1.0ms (18% of total)

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

const: 0.0ms (0% of total)

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

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

sample2.6s (24%)

Results

1.7s	7186×	1	valid
250.0ms	769×	2	valid
25.0ms	301×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-div: 456.0ms (33% of total)

ival-add: 365.0ms (26.4% of total)

backward-pass: 215.0ms (15.5% of total)

ival-sub: 180.0ms (13% of total)

ival->: 87.0ms (6.3% of total)

ival-fabs: 57.0ms (4.1% of total)

const: 23.0ms (1.7% of total)

Bogosity

preprocess87.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

624×	`sum5-define`
544×	`sum4-define`
482×	`sum3-define`
456×	`fnmadd-define`
442×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	42
1	53	37
2	123	36
3	337	36
4	899	36
5	1718	36
6	2095	36
7	2126	36
0	10	13
1	25	12
2	44	12
3	76	12
4	160	12
5	412	12
6	990	12
7	1684	12
8	2153	12
9	2251	12
0	2251	12

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

Outputs

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

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

Call 2

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

Outputs
(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
(sum3 (recip (+ x -1)) (/ -2 x) (recip (+ 1 x)))
(+ (- (/ 1 (+ (neg x) 1)) (/ 2 (neg x))) (/ 1 (- (neg x) 1)))
(sum3 (/ 2 x) (recip (- 1 x)) (recip (- -1 x)))
(neg (+ (- (/ 1 (+ (neg x) 1)) (/ 2 (neg x))) (/ 1 (- (neg x) 1))))
(sum3 (recip (+ x -1)) (/ -2 x) (recip (+ 1 x)))

Symmetry

(negabs x)

explain241.0ms (2.2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
76	1	(25.289269121419164)	-	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`
0	0	-	-	`x`
0	0	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))`
0	0	-	-	`(/.f64 #s(literal 2 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))`

Results

139.0ms	450×	1	valid
30.0ms	38×	2	valid
3.0ms	24×	0	valid

Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-div: 30.0ms (41.3% of total)

backward-pass: 17.0ms (23.4% of total)

ival-add: 12.0ms (16.5% of total)

ival-sub: 11.0ms (15.1% of total)

const: 2.0ms (2.8% of total)

eval0.0ms (0%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.9%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

624×	`sum5-define`
544×	`sum4-define`
482×	`sum3-define`
456×	`fnmadd-define`
384×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	25	40
2	44	40
3	76	40
4	160	40
5	412	40
6	990	40
7	1684	40
8	2153	40
9	2251	40
0	2251	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize94.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
✓	accuracy	72.9%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

66.0ms	225×	1	valid
7.0ms	19×	2	valid
1.0ms	12×	0	valid

Compiler

Compiled 48 to 11 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 15.0ms (42.3% of total)

backward-pass: 8.0ms (22.6% of total)

ival-add: 6.0ms (16.9% of total)

ival-sub: 5.0ms (14.1% of total)

const: 1.0ms (2.8% of total)

series3.0ms (0%)

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite552.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

4690×	`-lowering-.f32`
4690×	`-lowering-.f64`
3854×	`/-lowering-/.f32`
3854×	`/-lowering-/.f64`
2424×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	91	30
2	1160	30
0	8272	30

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 384

Calls

Call 1

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

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

simplify211.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

2112×	`-lowering-.f32`
2112×	`-lowering-.f64`
2042×	`+-lowering-+.f64`
2042×	`+-lowering-+.f32`
1622×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	414
1	299	381
2	816	369
3	2637	359
0	8372	359

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval53.0ms (0.5%)

Compiler: Compiled 15212 to 1576 computations (89.6% saved)

prune57.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	438	6	444
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	438	7	445

Accuracy

100.0%

Counts

445 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
	17.1%	(/.f64 (+.f64 (.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))))
▶	99.0%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
▶	99.3%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x (*.f64 x x)))
▶	5.4%	(/.f64 #s(literal -2 binary64) x)
▶	20.6%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓	72.9%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 224 to 116 computations (48.2% saved)

simplify173.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

1856×	`sum4-define`
1750×	`fma-lowering-fma.f32`
1750×	`fma-lowering-fma.f64`
1684×	`fma-define`
1544×	`sum5-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	182
1	87	177
2	200	171
3	727	163
4	1790	158
5	5354	158
0	8207	158

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize266.0ms (2.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.4%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x (*.f64 x x)))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (*.f64 x x)))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
✓	accuracy	99.7%	(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
✓	accuracy	72.9%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓	accuracy	48.1%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
✓	accuracy	98.7%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
✓	accuracy	98.7%	(/.f64 #s(literal 2 binary64) (*.f64 x x))

Results

181.0ms	225×	1	valid
25.0ms	19×	2	valid
4.0ms	12×	0	valid

Compiler

Compiled 233 to 28 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-div: 35.0ms (36.1% of total)

ival-mult: 22.0ms (22.7% of total)

backward-pass: 21.0ms (21.6% of total)

ival-add: 13.0ms (13.4% of total)

ival-sub: 5.0ms (5.2% of total)

const: 1.0ms (1% of total)

series15.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

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

Outputs
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ 2 (pow x 5))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt -2>
#<alt (- (* -1 x) 2)>
#<alt (- (* -1 x) 2)>
#<alt (- (* -1 x) 2)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (/ -2 x)>
#<alt (/ (- x 2) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 2) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 2) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)>
#<alt (/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))>
#<alt (/ -2 x)>
#<alt (/ (- (* -2 (pow x 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/4 x) 1/2))>
#<alt (* x (- (* x (- (* 1/8 x) 1/4)) 1/2))>
#<alt (* x (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)) 1/2))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) (+ 1 (/ 2 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (* 4 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))) x)))))>
#<alt (/ 2 (pow x 9))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 9))>
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))>
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))>
#<alt (/ 2 (pow x 6))>
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 6))>
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 6))>
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 6))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (pow x 2)) (pow x 2))>
#<alt (/ (+ 1 (pow x 2)) (pow x 2))>
#<alt (/ (+ 1 (pow x 2)) (pow x 2))>
#<alt 1>
#<alt (+ 1 (/ 1 (pow x 2)))>
#<alt (+ 1 (/ 1 (pow x 2)))>
#<alt (+ 1 (/ 1 (pow x 2)))>
#<alt 1>
#<alt (+ 1 (/ 1 (pow x 2)))>
#<alt (+ 1 (/ 1 (pow x 2)))>
#<alt (+ 1 (/ 1 (pow x 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>

Calls

51 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/ (/ 2 (* x x)) x)
1.0ms	x	@	0	(/ (+ 2 (/ 2 (* x x))) (* x (* x x)))
1.0ms	x	@	0	(/ (/ 2 (* x x)) x)
0.0ms	x	@	0	(/ 2 (* (* x x) (* x x)))
0.0ms	x	@	0	(/ 2 (* x x))

rewrite306.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3510×	`/-lowering-/.f32`
3510×	`/-lowering-/.f64`
2270×	`-lowering-.f32`
2270×	`-lowering-.f64`
1644×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	132
1	225	127
2	2307	121
0	8270	121

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 614

Calls

Call 1

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

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

simplify224.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2726×	`-lowering-.f32`
2726×	`-lowering-.f64`
1886×	`+-lowering-+.f64`
1886×	`+-lowering-+.f32`
1372×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	1354
1	459	1199
2	1321	1162
3	4243	1147
0	8670	1147

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
-2
(- (* -1 x) 2)
(- (* -1 x) 2)
(- (* -1 x) 2)
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(/ -2 x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1/2 x)
(* x (- (* -1/4 x) 1/2))
(* x (- (* x (- (* 1/8 x) 1/4)) 1/2))
(* x (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)) 1/2))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) (+ 1 (/ 2 (pow x 2)))))
(* x (- (+ (/ 1 x) (* 4 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))) x)))))
(/ 2 (pow x 9))
(/ (+ 2 (* 2 (pow x 2))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 6))
(/ (+ 2 (* 2 (pow x 2))) (pow x 6))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 6))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 6))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(/ 1 (pow x 2))
(/ (+ 1 (pow x 2)) (pow x 2))
(/ (+ 1 (pow x 2)) (pow x 2))
(/ (+ 1 (pow x 2)) (pow x 2))
1
(+ 1 (/ 1 (pow x 2)))
(+ 1 (/ 1 (pow x 2)))
(+ 1 (/ 1 (pow x 2)))
1
(+ 1 (/ 1 (pow x 2)))
(+ 1 (/ 1 (pow x 2)))
(+ 1 (/ 1 (pow x 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

Outputs
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ 2 (pow x 5))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (*.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -2 binary64)))) x)
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -2 binary64)))) x)
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -2 binary64)))) x)
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
-2
#s(literal -2 binary64)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- x 2) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -2 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -2 binary64)))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(+.f64 (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(+.f64 (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal -2 binary64))))))) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* -1/4 x) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/4 binary64))))
(* x (- (* x (- (* 1/8 x) 1/4)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/8 binary64))))))
(* x (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal -1/16 binary64))))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) (+ 1 (/ 2 (pow x 2)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* x (- (+ (/ 1 x) (* 4 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x) (.f64 x (/.f64 #s(literal 4 binary64) (.f64 x (*.f64 x x)))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 x))) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x)
(/ 2 (pow x 9))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 9))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64))) (pow.f64 x #s(literal 9 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (pow.f64 x #s(literal 9 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 9 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 6))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 6))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 6))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 6))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 6 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (pow x 2)) (pow x 2))
(/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (pow x 2)) (pow x 2))
(/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (pow x 2)) (pow x 2))
(/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (/ 1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ 1 (/ 1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ 1 (/ 1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (/ 1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ 1 (/ 1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ 1 (/ 1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (/.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))
(/ 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))
(/ 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))
(/ 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))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))

eval116.0ms (1%)

Compiler: Compiled 26716 to 2412 computations (91% saved)

prune96.0ms (0.9%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1052	5	1057
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	1053	11	1064

Accuracy

100.0%

Counts

1064 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
	13.9%	(/.f64 (/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 6 binary64))) (.f64 x (.f64 x x)))
✓	99.4%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
▶	99.3%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
▶	17.1%	(/.f64 (+.f64 (.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))))
✓	99.0%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
✓	99.3%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x (*.f64 x x)))
▶	98.9%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	5.4%	(/.f64 #s(literal -2 binary64) x)
▶	20.6%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓	72.9%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 268 to 145 computations (45.9% saved)

simplify178.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	128	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
✓	cost-diff	768	(+.f64 (.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -2 binary64) x))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -2 binary64) x)))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓	cost-diff	0	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))

Rules

2152×	`--lowering--.f32`
2152×	`--lowering--.f64`
1798×	`fnmadd-define`
1634×	`+-lowering-+.f64`
1634×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	168
1	88	158
2	268	154
3	978	148
4	3463	131
0	8661	131

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize374.0ms (3.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.7%	(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
✓	accuracy	99.4%	(/.f64 (+.f64 (.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	3.9%	(+.f64 (.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -2 binary64) x)))
✓	accuracy	72.9%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓	accuracy	48.1%	(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -2 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.9%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))

Results

186.0ms	147×	2	valid
70.0ms	42×	3	valid
55.0ms	65×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 212 to 29 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-div: 48.0ms (33.1% of total)

backward-pass: 37.0ms (25.5% of total)

ival-mult: 29.0ms (20% of total)

ival-add: 16.0ms (11% of total)

ival-sub: 13.0ms (9% of total)

const: 2.0ms (1.4% of total)

series12.0ms (0.1%)

Counts

16 → 192

Calls

Call 1

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

Outputs
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ -2 x)>
#<alt (/ (- x 2) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 2) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 2) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)>
#<alt (/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))>
#<alt (/ -2 x)>
#<alt (/ (- (* -2 (pow x 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/4 x) 1/2))>
#<alt (* x (- (* x (- (* 1/8 x) 1/4)) 1/2))>
#<alt (* x (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)) 1/2))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) (+ 1 (/ 2 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (* 4 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))) x)))))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt -2>
#<alt (- (* -1 x) 2)>
#<alt (- (* -1 x) 2)>
#<alt (- (* -1 x) 2)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* -1 x)>
#<alt (* x (- (pow x 2) 1))>
#<alt (* x (- (pow x 2) 1))>
#<alt (* x (- (pow x 2) 1))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))>
#<alt (/ -2 x)>
#<alt (/ (- (* -2 (pow x 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))>

Calls

48 calls:

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

rewrite331.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

4304×	`-lowering-.f32`
4304×	`-lowering-.f64`
2676×	`/-lowering-/.f32`
2676×	`/-lowering-/.f64`
2058×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	129
1	224	114
2	2276	111
0	10122	111

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 465

Calls

Call 1

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

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

simplify192.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2412×	`-lowering-.f32`
2412×	`-lowering-.f64`
1242×	`fnmadd-define`
1212×	`/-lowering-/.f32`
1212×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	1102
1	449	999
2	1318	954
3	4267	939
0	8388	939

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 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)
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ -2 x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1/2 x)
(* x (- (* -1/4 x) 1/2))
(* x (- (* x (- (* 1/8 x) 1/4)) 1/2))
(* x (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)) 1/2))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) (+ 1 (/ 2 (pow x 2)))))
(* x (- (+ (/ 1 x) (* 4 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))) x)))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
2
2
2
2
2
2
2
2
2
2
2
2
-2
(- (* -1 x) 2)
(- (* -1 x) 2)
(- (* -1 x) 2)
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* -1 x)
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(pow x 3)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))

Outputs
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- x 2) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -2 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(+.f64 (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (*.f64 x x) #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(+.f64 (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (*.f64 x x) #s(literal -2 binary64)))))) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) x)))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) x))))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))) (.f64 x (*.f64 x x))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* -1/4 x) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/4 binary64))))
(* x (- (* x (- (* 1/8 x) 1/4)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/8 binary64))))))
(* x (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal -1/16 binary64))))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) (+ 1 (/ 2 (pow x 2)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(* x (- (+ (/ 1 x) (* 4 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2)))))
(+.f64 (.f64 x (/.f64 #s(literal 4 binary64) (.f64 x (*.f64 x x)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 x))) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x)
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
-2
#s(literal -2 binary64)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (pow x 2) 1))
(.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))
(* x (- (pow x 2) 1))
(.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))
(* x (- (pow x 2) 1))
(.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(+.f64 (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (*.f64 x x) #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(+.f64 (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (*.f64 x x) #s(literal -2 binary64)))))) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) x)))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) x))))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))) (.f64 x (*.f64 x x))))

eval79.0ms (0.7%)

Compiler: Compiled 16453 to 1376 computations (91.6% saved)

prune79.0ms (0.7%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	757	2	759
Fresh	0	1	1
Picked	2	3	5
Done	2	3	5
Total	761	9	770

Accuracy

100.0%

Counts

770 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
▶	17.1%	(/.f64 (/.f64 (+.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) (.f64 x (+.f64 x #s(literal 1 binary64)))) x) (+.f64 (.f64 x x) #s(literal -1 binary64)))
▶	13.9%	(/.f64 (/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 6 binary64))) (.f64 x (.f64 x x)))
✓	99.4%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
✓	99.3%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
✓	99.3%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x (*.f64 x x)))
▶	99.4%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))))
✓	98.9%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	5.4%	(/.f64 #s(literal -2 binary64) x)

Compiler

Compiled 128 to 73 computations (43% saved)

simplify155.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) (*.f64 x (+.f64 x #s(literal 1 binary64)))) x)
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) (.f64 x (+.f64 x #s(literal 1 binary64)))) x) (+.f64 (.f64 x x) #s(literal -1 binary64)))
✓	cost-diff	128	(+.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))
✓	cost-diff	128	(+.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) (*.f64 x (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 6 binary64)))
✓	cost-diff	256	(/.f64 (/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 6 binary64))) (.f64 x (.f64 x x)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	128	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))

Rules

1920×	`-lowering-.f32`
1920×	`-lowering-.f64`
1738×	`+-lowering-+.f64`
1738×	`+-lowering-+.f32`
1624×	`sum5-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	220
1	98	194
2	357	193
3	1608	179
4	7388	175
0	8016	175

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(/ 2 (* (* x (+ 1 x)) (+ x -1)))
(/.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))))
2
#s(literal 2 binary64)
(* (* x (+ 1 x)) (+ x -1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(/ (/ (* (+ (* x (* x (* x x))) 1) (* 2 (+ (* x x) 1))) (pow x 6)) (* x (* x x)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 x (pow.f64 x #s(literal 8 binary64))))
(/ (* (+ (* x (* x (* x x))) 1) (* 2 (+ (* x x) 1))) (pow x 6))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* (+ (* x (* x (* x x))) 1) (* 2 (+ (* x x) 1)))
(.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x x))))
(+ (* x (* x (* x x))) 1)
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
1
#s(literal 1 binary64)
(* 2 (+ (* x x) 1))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
2
#s(literal 2 binary64)
(+ (* x x) 1)
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
6
#s(literal 6 binary64)
(/ (/ (+ (* (+ x -1) (+ x (* (+ x 1) -2))) (* x (+ x 1))) x) (+ (* x x) -1))
(/.f64 (-.f64 (.f64 x (+.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ (+ (* (+ x -1) (+ x (* (+ x 1) -2))) (* x (+ x 1))) x)
(/.f64 (-.f64 (*.f64 x (+.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))) x)
(+ (* (+ x -1) (+ x (* (+ x 1) -2))) (* x (+ x 1)))
(-.f64 (*.f64 x (+.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)))
(* (+ x -1) (+ x (* (+ x 1) -2)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)))
(+ x -1)
(+.f64 x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
(+ x (* (+ x 1) -2))
(+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))
(* (+ x 1) -2)
(+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
-2
#s(literal -2 binary64)
(* x (+ x 1))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (* x x) -1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)

localize881.0ms (8%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) (.f64 x (+.f64 x #s(literal 1 binary64)))) x) (+.f64 (.f64 x x) #s(literal -1 binary64)))
✓	accuracy	99.7%	(+.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))
✓	accuracy	3.9%	(+.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) (*.f64 x (+.f64 x #s(literal 1 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(/.f64 (/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 6 binary64))) (.f64 x (.f64 x x)))
✓	accuracy	16.7%	(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 6 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))))

Results

238.0ms	139×	2	valid
97.0ms	42×	3	valid
91.0ms	73×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 252 to 31 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 244.0ms

ival-div: 85.0ms (34.8% of total)

backward-pass: 75.0ms (30.7% of total)

ival-mult: 46.0ms (18.8% of total)

ival-add: 30.0ms (12.3% of total)

ival-pow: 6.0ms (2.5% of total)

const: 2.0ms (0.8% of total)

series18.0ms (0.2%)

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (* (* x (+ 1 x)) (+ x -1))>
#<alt (/ 2 (* (* x (+ 1 x)) (+ x -1)))>
#<alt (* x (+ 1 x))>
#<alt (+ 1 x)>
#<alt (/ (/ (* (+ (* x (* x (* x x))) 1) (* 2 (+ (* x x) 1))) (pow x 6)) (* x (* x x)))>
#<alt (/ (* (+ (* x (* x (* x x))) 1) (* 2 (+ (* x x) 1))) (pow x 6))>
#<alt (* (+ (* x (* x (* x x))) 1) (* 2 (+ (* x x) 1)))>
#<alt (+ (* x (* x (* x x))) 1)>
#<alt (+ (* (+ x -1) (+ x (* (+ x 1) -2))) (* x (+ x 1)))>
#<alt (+ x (* (+ x 1) -2))>
#<alt (/ (/ (+ (* (+ x -1) (+ x (* (+ x 1) -2))) (* x (+ x 1))) x) (+ (* x x) -1))>
#<alt (/ (+ (* (+ x -1) (+ x (* (+ x 1) -2))) (* x (+ x 1))) x)>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>
#<alt (* x x)>

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

Calls

45 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	(/ (+ (* (+ x -1) (+ x (* (+ x 1) -2))) (* x (+ x 1))) x)
1.0ms	x	@	-inf	(+ (* (+ x -1) (+ x (* (+ x 1) -2))) (* x (+ x 1)))
1.0ms	x	@	-inf	(/ (+ (* (+ x -1) (+ x (* (+ x 1) -2))) (* x (+ x 1))) x)
1.0ms	x	@	inf	(+ (* (+ x -1) (+ x (* (+ x 1) -2))) (* x (+ x 1)))
0.0ms	x	@	0	(+ (* (+ x -1) (+ x (* (+ x 1) -2))) (* x (+ x 1)))

rewrite478.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3364×	`-lowering-.f32`
3364×	`-lowering-.f64`
2816×	`/-lowering-/.f32`
2816×	`/-lowering-/.f64`
2040×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	159
1	217	132
2	2132	132
0	8856	132

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 724

Calls

Call 1

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

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

simplify245.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

3328×	`-lowering-.f32`
3328×	`-lowering-.f64`
2368×	`+-lowering-+.f64`
2368×	`+-lowering-+.f32`
1332×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1178
1	261	1041
2	770	1002
3	3117	985
4	7622	985
0	8144	985

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(* -1 x)
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(pow x 3)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 2 (pow x 9))
(/ (+ 2 (* 2 (pow x 2))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 6))
(/ (+ 2 (* 2 (pow x 2))) (pow x 6))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 6))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 6))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(* 2 (pow x 6))
(* (pow x 6) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 6) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))))
(* 2 (pow x 6))
(* (pow x 6) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 6) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))))
1
(+ 1 (pow x 4))
(+ 1 (pow x 4))
(+ 1 (pow x 4))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 4))))
(* (pow x 4) (+ 1 (/ 1 (pow x 4))))
(* (pow x 4) (+ 1 (/ 1 (pow x 4))))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 4))))
(* (pow x 4) (+ 1 (/ 1 (pow x 4))))
(* (pow x 4) (+ 1 (/ 1 (pow x 4))))
2
2
2
2
2
2
2
2
2
2
2
2
-2
(- (* -1 x) 2)
(- (* -1 x) 2)
(- (* -1 x) 2)
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(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)

Outputs
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (pow x 2) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))
(* x (- (pow x 2) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))
(* x (- (pow x 2) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(+.f64 (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(+.f64 (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal -2 binary64))))))) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 x x)))
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
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))
(/ 2 (pow x 9))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 9))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 9 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 2 binary64) (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (pow.f64 x #s(literal 9 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 9 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 6))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 6))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 6))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 2 binary64) (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 6))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 2 binary64) (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64))))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2 binary64)))))
(* 2 (pow x 6))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 2 (* 2 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 2 (pow x 6))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 2 (* 2 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (pow x 4))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
(+ 1 (pow x 4))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
(+ 1 (pow x 4))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (/ 1 (pow x 4))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1 (/ 1 (pow x 4))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1 (/ 1 (pow x 4))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (/ 1 (pow x 4))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1 (/ 1 (pow x 4))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1 (/ 1 (pow x 4))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
-2
#s(literal -2 binary64)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(+.f64 (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(+.f64 (.f64 x (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal -2 binary64))))))) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 x x)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(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)

eval120.0ms (1.1%)

Compiler: Compiled 47819 to 3588 computations (92.5% saved)

prune115.0ms (1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	986	2	988
Fresh	0	0	0
Picked	3	0	3
Done	1	5	6
Total	990	7	997

Accuracy

100.0%

Counts

997 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal 1 binary64))))
✓	99.4%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓	99.3%	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
✓	98.9%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	5.4%	(/.f64 #s(literal -2 binary64) x)

Compiler

Compiled 293 to 107 computations (63.5% saved)

regimes17.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
5.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes33.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

33.0ms

Results

Accuracy	Segments	Branch
5.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	44
1	28	44

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.4s (22.2%)

Rules

4690×	`-lowering-.f32`
4690×	`-lowering-.f64`
4304×	`-lowering-.f32`
4304×	`-lowering-.f64`
3854×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	132
1	225	127
2	2307	121
0	8270	121
0	91	1178
1	261	1041
2	770	1002
3	3117	985
4	7622	985
0	8144	985
0	28	129
1	224	114
2	2276	111
0	10122	111
0	150	1102
1	449	999
2	1318	954
3	4267	939
0	8388	939
0	102	414
1	299	381
2	816	369
3	2637	359
0	8372	359
0	10	31
1	91	30
2	1160	30
0	8272	30
0	30	159
1	217	132
2	2132	132
0	8856	132

Stop Event

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

Compiler

Compiled 126 to 76 computations (39.7% saved)

preprocess48.0ms (0.4%)

Remove: (negabs x)
Compiler: Compiled 190 to 110 computations (42.1% saved)

analyze8.0ms (0.1%)

sample2.6s (24%)

preprocess87.0ms (0.8%)

explain241.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify50.0ms (0.5%)

localize94.0ms (0.9%)

series3.0ms (0%)

rewrite552.0ms (5%)

simplify211.0ms (1.9%)

eval53.0ms (0.5%)

prune57.0ms (0.5%)

simplify173.0ms (1.6%)

localize266.0ms (2.4%)

series15.0ms (0.1%)

rewrite306.0ms (2.8%)

simplify224.0ms (2%)

eval116.0ms (1%)

prune96.0ms (0.9%)

simplify178.0ms (1.6%)

localize374.0ms (3.4%)

series12.0ms (0.1%)

rewrite331.0ms (3%)

simplify192.0ms (1.7%)

eval79.0ms (0.7%)

prune79.0ms (0.7%)

simplify155.0ms (1.4%)

localize881.0ms (8%)

series18.0ms (0.2%)

rewrite478.0ms (4.3%)

simplify245.0ms (2.2%)

eval120.0ms (1.1%)

prune115.0ms (1%)

regimes17.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes33.0ms (0.3%)

simplify8.0ms (0.1%)

soundness2.4s (22.2%)

preprocess48.0ms (0.4%)

end0.0ms (0%)

Profiling