Metrics for invcot (example 3.9)

analyze8.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.7%	50.3%	0%	0%	0%	0
0%	0%	49.7%	50.3%	0%	0%	0%	1
0%	0%	49.7%	50.3%	0%	0%	0%	2
25%	12.4%	37.3%	50.3%	0%	0%	0%	3
62.5%	31.1%	18.6%	50.3%	0%	0%	0%	4
81.3%	40.4%	9.3%	50.3%	0%	0%	0%	5
90.6%	45%	4.7%	50.3%	0%	0%	0%	6
95.3%	47.4%	2.3%	50.3%	0%	0%	0%	7
97.7%	48.5%	1.2%	50.3%	0%	0%	0%	8
98.8%	49.1%	0.6%	50.3%	0%	0%	0%	9
99.4%	49.4%	0.3%	50.3%	0%	0%	0%	10
99.7%	49.5%	0.1%	50.3%	0%	0%	0%	11
99.9%	49.6%	0.1%	50.3%	0%	0%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

Precisions

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

...c/correct-round.rkt:119:19: 2.0ms (46.5% of total)

ival-div: 1.0ms (23.2% of total)

ival-tan: 1.0ms (23.2% of total)

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

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

const: 0.0ms (0% of total)

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

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

sample7.6s (54.8%)

Results

5.4s	4488×	2	valid
1.2s	1322×	3	valid
636.0ms	2387×	1	valid
9.0ms	59×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.4s

ival-tan: 5.0s (77.6% of total)

ival-div: 554.0ms (8.6% of total)

...c/correct-round.rkt:119:19: 330.0ms (5.1% of total)

backward-pass: 291.0ms (4.5% of total)

ival-sub: 165.0ms (2.6% of total)

ival-<: 63.0ms (1% of total)

const: 18.0ms (0.3% of total)

ival-and: 18.0ms (0.3% of total)

Bogosity

preprocess40.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

156×	`fnmadd-define`
138×	`sum3-define`
112×	`fma-lowering-fma.f32`
112×	`fnmsub-define`
112×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	29	19
2	64	18
3	146	18
4	300	18
5	464	18
6	507	18
7	515	18
0	6	6
1	12	6
2	20	6
3	31	6
4	45	6
5	82	6
6	152	6
7	248	6
8	350	6
9	486	6
10	607	6
11	639	6
0	639	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (/ 1 x) (/ 1 (tan x)))

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

Call 2

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

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

Symmetry

(negabs x)

explain448.0ms (3.2%)

FPErrors

Click to see full error table

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

Results

294.0ms	300×	2	valid
86.0ms	76×	3	valid
27.0ms	128×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 273.0ms

ival-tan: 218.0ms (79.9% of total)

ival-div: 27.0ms (9.9% of total)

backward-pass: 19.0ms (7% of total)

ival-sub: 8.0ms (2.9% of total)

const: 2.0ms (0.7% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.1%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

156×	`fnmadd-define`
138×	`sum3-define`
112×	`fma-lowering-fma.f32`
112×	`fnmsub-define`
112×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	12	15
2	20	15
3	31	15
4	45	15
5	82	15
6	152	15
7	248	15
8	350	15
9	486	15
10	607	15
11	639	15
0	639	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (/ 1 x) (/ 1 (tan x)))
(/ 1 x)
1
x
(/ 1 (tan x))
(tan x)

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

localize204.0ms (1.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	accuracy	7.2%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

139.0ms	150×	2	valid
35.0ms	38×	3	valid
13.0ms	64×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-tan: 121.0ms (81% of total)

ival-div: 14.0ms (9.4% of total)

backward-pass: 9.0ms (6% of total)

ival-sub: 4.0ms (2.7% of total)

const: 1.0ms (0.7% of total)

series4.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))>
#<alt (* -1 (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (* -1 (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>

Calls

12 calls:

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

rewrite215.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2434×	`-lowering-.f32`
2434×	`-lowering-.f64`
2300×	`/-lowering-/.f32`
2300×	`/-lowering-/.f64`
1480×	`sum5-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	47	13
2	485	13
3	6201	13
0	8254	13

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 222

Calls

Call 1

Inputs
(- (/ 1 x) (/ 1 (tan x)))
(/ 1 x)
(/ 1 (tan x))
(tan x)

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

simplify189.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2522×	`-lowering-.f32`
2522×	`-lowering-.f64`
2470×	`sum3-define`
1924×	`+-lowering-+.f64`
1924×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	302
1	186	269
2	560	266
3	1807	266
4	2716	266
5	4431	266
6	6050	266
7	6596	266
0	8084	266

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (*.f64 x x) #s(literal 1/4725 binary64))))))))
(* -1 (/ (cos x) (sin x)))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(* -1 (/ (cos x) (sin x)))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64))))))))) x)
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

eval34.0ms (0.2%)

Compiler: Compiled 5571 to 674 computations (87.9% saved)

prune29.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	266	4	270
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	267	4	271

Accuracy

99.5%

Counts

271 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
▶	99.1%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
▶	99.5%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (*.f64 x x) #s(literal 1/4725 binary64))))))))
▶	98.4%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 52 to 34 computations (34.6% saved)

simplify151.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64)))))
✓	cost-diff	(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64))))))
✓	cost-diff	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) #s(literal -1/45 binary64))
✓	cost-diff	(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))
✓	cost-diff	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))))
✓	cost-diff	(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (*.f64 x x) #s(literal 1/4725 binary64))))))))
✓	cost-diff	(*.f64 #s(literal 1/3 binary64) x)

Rules

2152×	`-lowering-.f32`
2152×	`-lowering-.f64`
1468×	`fma-define`
1212×	`fnmsub-define`
1186×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	165
1	83	149
2	296	145
3	964	145
4	2721	145
5	5145	145
6	7467	145
0	8043	145

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/3 x)
1/3
x
(* x (+ 1/3 (* (* x x) (+ 1/45 (* (* x x) (+ 2/945 (* (* x x) 1/4725)))))))
x
(+ 1/3 (* (* x x) (+ 1/45 (* (* x x) (+ 2/945 (* (* x x) 1/4725))))))
1/3
(* (* x x) (+ 1/45 (* (* x x) (+ 2/945 (* (* x x) 1/4725)))))
(* x x)
(+ 1/45 (* (* x x) (+ 2/945 (* (* x x) 1/4725))))
1/45
(* (* x x) (+ 2/945 (* (* x x) 1/4725)))
(+ 2/945 (* (* x x) 1/4725))
2/945
(* (* x x) 1/4725)
1/4725
(* x (- 1/3 (* (* x x) -1/45)))
x
(- 1/3 (* (* x x) -1/45))
1/3
(* (* x x) -1/45)
(* x x)
-1/45
(* x (- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945))))))
x
(- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945)))))
1/3
(* (* x x) (+ -1/45 (* x (* x -2/945))))
(* x x)
(+ -1/45 (* x (* x -2/945)))
-1/45
(* x (* x -2/945))
(* x -2/945)
-2/945

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
x
(* x (+ 1/3 (* (* x x) (+ 1/45 (* (* x x) (+ 2/945 (* (* x x) 1/4725)))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (*.f64 x x) #s(literal 1/4725 binary64))))))))
x
(+ 1/3 (* (* x x) (+ 1/45 (* (* x x) (+ 2/945 (* (* x x) 1/4725))))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))))
1/3
#s(literal 1/3 binary64)
(* (* x x) (+ 1/45 (* (* x x) (+ 2/945 (* (* x x) 1/4725)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))))
(* x x)
(*.f64 x x)
(+ 1/45 (* (* x x) (+ 2/945 (* (* x x) 1/4725))))
(+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))
1/45
#s(literal 1/45 binary64)
(* (* x x) (+ 2/945 (* (* x x) 1/4725)))
(.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))
(+ 2/945 (* (* x x) 1/4725))
(+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))
2/945
#s(literal 2/945 binary64)
(* (* x x) 1/4725)
(.f64 (.f64 x x) #s(literal 1/4725 binary64))
1/4725
#s(literal 1/4725 binary64)
(* x (- 1/3 (* (* x x) -1/45)))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
x
(- 1/3 (* (* x x) -1/45))
(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))
1/3
#s(literal 1/3 binary64)
(* (* x x) -1/45)
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(* x x)
(*.f64 x x)
-1/45
#s(literal -1/45 binary64)
(* x (- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945))))))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
x
(- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945)))))
(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64))))))
1/3
#s(literal 1/3 binary64)
(* (* x x) (+ -1/45 (* x (* x -2/945))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64)))))
(* x x)
(*.f64 x x)
(+ -1/45 (* x (* x -2/945)))
(+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64))))
-1/45
#s(literal -1/45 binary64)
(* x (* x -2/945))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* x -2/945)
(*.f64 x #s(literal -2/945 binary64))
-2/945
#s(literal -2/945 binary64)

localize232.0ms (1.7%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -2/945 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal -2/945 binary64)))))
✓	accuracy	99.5%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
✓	accuracy	99.3%	(*.f64 x #s(literal -2/945 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/45 binary64))
✓	accuracy	99.5%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/4725 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (*.f64 x x) #s(literal 1/4725 binary64))))))))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) x)

Results

183.0ms

256×

valid

Compiler

Compiled 196 to 26 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

...c/correct-round.rkt:119:19: 21.0ms (44.2% of total)

ival-mult: 19.0ms (39.9% of total)

ival-add: 5.0ms (10.5% of total)

ival-sub: 2.0ms (4.2% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* (* x x) (+ 1/45 (* (* x x) (+ 2/945 (* (* x x) 1/4725)))))))>
#<alt (+ 1/3 (* (* x x) (+ 1/45 (* (* x x) (+ 2/945 (* (* x x) 1/4725))))))>
#<alt (* (* x x) (+ 1/45 (* (* x x) (+ 2/945 (* (* x x) 1/4725)))))>
#<alt (* x x)>
#<alt (* x (- 1/3 (* (* x x) -1/45)))>
#<alt (- 1/3 (* (* x x) -1/45))>
#<alt (* (* x x) -1/45)>
#<alt (* x (- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945))))))>
#<alt (- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945)))))>
#<alt (* (* x x) (+ -1/45 (* x (* x -2/945))))>
#<alt (* (* x x) (+ 2/945 (* (* x x) 1/4725)))>
#<alt (* (* x x) 1/4725)>
#<alt (* x -2/945)>
#<alt (* x (* x -2/945))>

Outputs
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))>
#<alt (* 1/4725 (pow x 7))>
#<alt (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))>
#<alt (* 1/4725 (pow x 7))>
#<alt (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))>
#<alt (* 1/4725 (pow x 6))>
#<alt (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))>
#<alt (* 1/4725 (pow x 6))>
#<alt (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))>
#<alt (* 1/4725 (pow x 6))>
#<alt (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* 1/4725 (pow x 6))>
#<alt (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -1/45 (pow x 2))>
#<alt (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))>
#<alt (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))>
#<alt (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))>
#<alt (* -2/945 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -2/945 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 2))>
#<alt (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))>
#<alt (* 1/4725 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* 1/4725 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* 1/4725 (pow x 2))>
#<alt (* 1/4725 (pow x 2))>
#<alt (* 1/4725 (pow x 2))>
#<alt (* 1/4725 (pow x 2))>
#<alt (* 1/4725 (pow x 2))>
#<alt (* 1/4725 (pow x 2))>
#<alt (* 1/4725 (pow x 2))>
#<alt (* 1/4725 (pow x 2))>
#<alt (* 1/4725 (pow x 2))>
#<alt (* 1/4725 (pow x 2))>
#<alt (* 1/4725 (pow x 2))>
#<alt (* 1/4725 (pow x 2))>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 x)>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (* x x) -1/45)
1.0ms	x	@	0	(* 1/3 x)
1.0ms	x	@	inf	(* x (+ 1/3 (* (* x x) (+ 1/45 (* (* x x) (+ 2/945 (* (* x x) 1/4725)))))))
0.0ms	x	@	inf	(* x (- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945))))))
0.0ms	x	@	inf	(* (* x x) (+ 1/45 (* (* x x) (+ 2/945 (* (* x x) 1/4725)))))

rewrite322.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4234×	`-lowering-.f32`
4234×	`-lowering-.f64`
2930×	`/-lowering-/.f32`
2930×	`/-lowering-/.f64`
1912×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	124
1	161	112
2	1474	108
0	8142	108

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 327

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* (* x x) (+ 1/45 (* (* x x) (+ 2/945 (* (* x x) 1/4725)))))))
(+ 1/3 (* (* x x) (+ 1/45 (* (* x x) (+ 2/945 (* (* x x) 1/4725))))))
(* (* x x) (+ 1/45 (* (* x x) (+ 2/945 (* (* x x) 1/4725)))))
(* x x)
(* x (- 1/3 (* (* x x) -1/45)))
(- 1/3 (* (* x x) -1/45))
(* (* x x) -1/45)
(* x (- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945))))))
(- 1/3 (* (* x x) (+ -1/45 (* x (* x -2/945)))))
(* (* x x) (+ -1/45 (* x (* x -2/945))))
(* (* x x) (+ 2/945 (* (* x x) 1/4725)))
(* (* x x) 1/4725)
(* x -2/945)
(* x (* x -2/945))

Outputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x))))
(+.f64 (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x))) (.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x))))))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (*.f64 x x))))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (*.f64 x x))))
(fma.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) (.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (*.f64 #s(literal 1/3 binary64) x))
(/.f64 (+.f64 (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))))) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x)))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) #s(literal 1/3 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))))))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))))))
(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))))))) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) #s(literal 1/3 binary64)))))
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(.f64 (.f64 x x) #s(literal 1/4725 binary64))
(.f64 #s(literal 1/4725 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/4725 binary64)) x)
(*.f64 x #s(literal -2/945 binary64))
(*.f64 #s(literal -2/945 binary64) x)
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(.f64 #s(literal -2/945 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -2/945 binary64)) x)

simplify192.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

3284×	`-lowering-.f32`
3284×	`-lowering-.f64`
1898×	`fnmadd-define`
1604×	`fma-lowering-fma.f32`
1604×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1405
1	314	1149
2	970	1144
3	2851	1134
4	6156	1134
0	8337	1134

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(* 1/4725 (pow x 7))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(* 1/4725 (pow x 7))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
(* 1/4725 (pow x 6))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(* 1/4725 (pow x 6))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))
(* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))
(* 1/4725 (pow x 6))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* 1/4725 (pow x 6))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* -1/45 (pow x 2))
(* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))
(* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))
(* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))
(* -2/945 (pow x 4))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -2/945 (pow x 4))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))
(* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))
(* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))
(* 1/4725 (pow x 4))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* 1/4725 (pow x 4))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* 1/4725 (pow x 2))
(* 1/4725 (pow x 2))
(* 1/4725 (pow x 2))
(* 1/4725 (pow x 2))
(* 1/4725 (pow x 2))
(* 1/4725 (pow x 2))
(* 1/4725 (pow x 2))
(* 1/4725 (pow x 2))
(* 1/4725 (pow x 2))
(* 1/4725 (pow x 2))
(* 1/4725 (pow x 2))
(* 1/4725 (pow x 2))
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 x)
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (*.f64 x x) #s(literal 1/4725 binary64))))))))
(* 1/4725 (pow x 7))
(*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (.f64 x x))))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) (+.f64 #s(literal 1/4725 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/4725 (pow x 7))
(*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/4725 binary64) (/.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))))
(* 1/4725 (pow x 6))
(*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(+.f64 #s(literal 1/3 binary64) (.f64 (+.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
(* 1/4725 (pow x 6))
(*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(+.f64 #s(literal 1/3 binary64) (.f64 (+.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))))
(* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))))
(* 1/4725 (pow x 6))
(*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/4725 (pow x 6))
(*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* 1/45 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/45 binary64))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* 1/45 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/45 binary64))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(+ 1/3 (* 1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(+ 1/3 (* 1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))))
(* 2/945 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 2/945 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(* 2/945 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(* 2/945 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))
(* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))
(* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))
(* -2/945 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -2/945 binary64))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))
(* -2/945 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -2/945 binary64))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))
(* -1 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))
(* 2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/945 binary64))
(* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))
(* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))
(* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))
(* 1/4725 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4725 binary64))))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))
(* 1/4725 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/4725 binary64))))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))
(* 1/4725 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4725 binary64))
(* 1/4725 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4725 binary64))
(* 1/4725 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4725 binary64))
(* 1/4725 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4725 binary64))
(* 1/4725 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4725 binary64))
(* 1/4725 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4725 binary64))
(* 1/4725 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4725 binary64))
(* 1/4725 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4725 binary64))
(* 1/4725 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4725 binary64))
(* 1/4725 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4725 binary64))
(* 1/4725 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4725 binary64))
(* 1/4725 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4725 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 x)
(*.f64 x #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))

eval66.0ms (0.5%)

Compiler: Compiled 18433 to 1439 computations (92.2% saved)

prune56.0ms (0.4%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	570	9	579
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	570	13	583

Accuracy

99.9%

Counts

583 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.6%	(/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))))) (.f64 x (.f64 x x))) (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x)))) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x))) (*.f64 #s(literal 1/3 binary64) x)))))
▶	99.1%	(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))
	99.1%	(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))))
	99.4%	(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x))) x))
▶	99.1%	(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x))
▶	18.2%	(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
	18.2%	(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
▶	98.4%	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))))))
▶	99.4%	(.f64 x (-.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -2/945 binary64))))))
✓	99.4%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
✓	99.1%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
✓	99.5%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (*.f64 x x) #s(literal 1/4725 binary64))))))))
✓	98.4%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 784 to 316 computations (59.7% saved)

simplify291.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))))))
✓	cost-diff	128	(.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))
✓	cost-diff	128	(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (*.f64 x x)))))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
✓	cost-diff	0	(.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))
✓	cost-diff	0	(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (*.f64 x x)))) x)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/45 binary64))
✓	cost-diff	0	(.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) x)
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) x)
✓	cost-diff	128	(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x))
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/45 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
✓	cost-diff	0	(.f64 x (-.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -2/945 binary64))))))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -2/945 binary64)))))

Rules

7672×	`-lowering-.f32`
7672×	`-lowering-.f64`
2566×	`+-lowering-+.f64`
2566×	`+-lowering-+.f32`
1412×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	423
1	170	358
2	705	340
3	3329	331
0	8827	331

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (- (+ 1/3 (* (* x x) 1/45)) (* x (* x (* (* x x) -2/945)))))
x
(- (+ 1/3 (* (* x x) 1/45)) (* x (* x (* (* x x) -2/945))))
(+ 1/3 (* (* x x) 1/45))
1/3
(* (* x x) 1/45)
(* x x)
1/45
(* x (* x (* (* x x) -2/945)))
(* x (* (* x x) -2/945))
(* (* x x) -2/945)
-2/945
(+ (* 1/3 x) (* (* (* x x) 1/45) x))
(* 1/3 x)
1/3
x
(* (* (* x x) 1/45) x)
(* (* x x) 1/45)
(* x x)
1/45
(/ (* (- 1/9 (* 1/2025 (* (* x x) (* x x)))) x) (+ 1/3 (* x (* x -1/45))))
(* (- 1/9 (* 1/2025 (* (* x x) (* x x)))) x)
(- 1/9 (* 1/2025 (* (* x x) (* x x))))
1/9
(* 1/2025 (* (* x x) (* x x)))
1/2025
(* (* x x) (* x x))
(* x x)
x
(+ 1/3 (* x (* x -1/45)))
1/3
(* x (* x -1/45))
(* x -1/45)
-1/45
(* (* x (* x (* x (* x x)))) (+ (/ 1/45 (* x x)) (+ 2/945 (/ 1/3 (* x (* x (* x x)))))))
(* x (* x (* x (* x x))))
x
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(+ (/ 1/45 (* x x)) (+ 2/945 (/ 1/3 (* x (* x (* x x))))))
(/ 1/45 (* x x))
1/45
(+ 2/945 (/ 1/3 (* x (* x (* x x)))))
2/945
(/ 1/3 (* x (* x (* x x))))
1/3
(* x (/ (* (- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) 1) (* (+ 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))) (+ 1/9 (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45))))))))
x
(/ (* (- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) 1) (* (+ 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))) (+ 1/9 (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45)))))))
(* (- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) 1)
(- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x))))))
1/729
(* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))
(* (* x (* x x)) (* -1/91125 (* x (* x x))))
(* x (* x x))
(* x x)
(* -1/91125 (* x (* x x)))
-1/91125
1
(* (+ 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))) (+ 1/9 (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45))))))
(+ 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x)))))
1/27
(+ 1/9 (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45)))))
1/9
(* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45))))
(* x (* x -1/45))
(* x -1/45)
-1/45
(+ 1/3 (* x (* x -1/45)))
1/3

Outputs
(* x (- (+ 1/3 (* (* x x) 1/45)) (* x (* x (* (* x x) -2/945)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal -2/945 binary64))))))
x
(- (+ 1/3 (* (* x x) 1/45)) (* x (* x (* (* x x) -2/945))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))))
(+ 1/3 (* (* x x) 1/45))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
1/3
#s(literal 1/3 binary64)
(* (* x x) 1/45)
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* x x)
(*.f64 x x)
1/45
#s(literal 1/45 binary64)
(* x (* x (* (* x x) -2/945)))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -2/945 binary64))))
(* x (* (* x x) -2/945))
(.f64 x (.f64 (*.f64 x x) #s(literal -2/945 binary64)))
(* (* x x) -2/945)
(.f64 (.f64 x x) #s(literal -2/945 binary64))
-2/945
#s(literal -2/945 binary64)
(+ (* 1/3 x) (* (* (* x x) 1/45) x))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
x
(* (* (* x x) 1/45) x)
(.f64 x (.f64 x (*.f64 x #s(literal 1/45 binary64))))
(* (* x x) 1/45)
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* x x)
(*.f64 x x)
1/45
#s(literal 1/45 binary64)
(/ (* (- 1/9 (* 1/2025 (* (* x x) (* x x)))) x) (+ 1/3 (* x (* x -1/45))))
(/.f64 (.f64 x (-.f64 #s(literal 1/9 binary64) (.f64 x (.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))
(* (- 1/9 (* 1/2025 (* (* x x) (* x x)))) x)
(.f64 x (-.f64 #s(literal 1/9 binary64) (.f64 x (.f64 #s(literal 1/2025 binary64) (.f64 x (*.f64 x x))))))
(- 1/9 (* 1/2025 (* (* x x) (* x x))))
(-.f64 #s(literal 1/9 binary64) (.f64 x (.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x x)))))
1/9
#s(literal 1/9 binary64)
(* 1/2025 (* (* x x) (* x x)))
(.f64 x (.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x x))))
1/2025
#s(literal 1/2025 binary64)
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
x
(+ 1/3 (* x (* x -1/45)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))
1/3
#s(literal 1/3 binary64)
(* x (* x -1/45))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* x -1/45)
(*.f64 x #s(literal -1/45 binary64))
-1/45
#s(literal -1/45 binary64)
(* (* x (* x (* x (* x x)))) (+ (/ 1/45 (* x x)) (+ 2/945 (/ 1/3 (* x (* x (* x x)))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (+.f64 #s(literal 2/945 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x))))
(* x (* x (* x (* x x))))
(.f64 (.f64 x x) (.f64 x (.f64 x x)))
x
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ (/ 1/45 (* x x)) (+ 2/945 (/ 1/3 (* x (* x (* x x))))))
(+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (+.f64 #s(literal 2/945 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))) x)))
(/ 1/45 (* x x))
(/.f64 #s(literal 1/45 binary64) (*.f64 x x))
1/45
#s(literal 1/45 binary64)
(+ 2/945 (/ 1/3 (* x (* x (* x x)))))
(+.f64 #s(literal 2/945 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x))
2/945
#s(literal 2/945 binary64)
(/ 1/3 (* x (* x (* x x))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) x)
1/3
#s(literal 1/3 binary64)
(* x (/ (* (- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) 1) (* (+ 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))) (+ 1/9 (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45))))))))
(.f64 (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) #s(literal -1/8303765625 binary64))) (/.f64 x (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/91125 binary64)))) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))))))
x
(/ (* (- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) 1) (* (+ 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))) (+ 1/9 (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45)))))))
(/.f64 (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) #s(literal -1/8303765625 binary64))) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/91125 binary64)))) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))))))
(* (- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) 1)
(+.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) #s(literal -1/8303765625 binary64)))
(- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x))))))
(+.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) #s(literal -1/8303765625 binary64)))
1/729
#s(literal 1/729 binary64)
(* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))
(.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/8303765625 binary64)))))))
(* (* x (* x x)) (* -1/91125 (* x (* x x))))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/91125 binary64))))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(* -1/91125 (* x (* x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/91125 binary64))
-1/91125
#s(literal -1/91125 binary64)
1
#s(literal 1 binary64)
(* (+ 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))) (+ 1/9 (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45))))))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/91125 binary64)))) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))))
(+ 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x)))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/91125 binary64)))) #s(literal 1/27 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/9 (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45)))))
(+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64))))
1/9
#s(literal 1/9 binary64)
(* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45))))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))
(* x (* x -1/45))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* x -1/45)
(*.f64 x #s(literal -1/45 binary64))
-1/45
#s(literal -1/45 binary64)
(+ 1/3 (* x (* x -1/45)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))
1/3
#s(literal 1/3 binary64)

localize315.0ms (2.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 x #s(literal -1/45 binary64))
✓	accuracy	99.5%	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))))))
✓	accuracy	98.5%	(.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))))
✓	accuracy	98.5%	(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	99.6%	(/.f64 #s(literal 1/45 binary64) (*.f64 x x))
✓	accuracy	19.9%	(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/45 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/45 binary64))
✓	accuracy	99.5%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (*.f64 x x)))) x)
✓	accuracy	99.3%	(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x))
✓	accuracy	99.9%	(.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/45 binary64))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) x)
✓	accuracy	99.9%	(.f64 x (.f64 (*.f64 x x) #s(literal -2/945 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/45 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -2/945 binary64))
✓	accuracy	99.5%	(.f64 x (-.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -2/945 binary64))))))

Results

217.0ms

256×

valid

Compiler

Compiled 631 to 51 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 39.0ms (41.2% of total)

...c/correct-round.rkt:119:19: 37.0ms (39% of total)

ival-add: 8.0ms (8.4% of total)

ival-div: 7.0ms (7.4% of total)

ival-sub: 4.0ms (4.2% of total)

const: 1.0ms (1.1% of total)

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

series23.0ms (0.2%)

Counts

27 → 324

Calls

Call 1

Inputs
#<alt (- (+ 1/3 (* (* x x) 1/45)) (* x (* x (* (* x x) -2/945))))>
#<alt (* x (- (+ 1/3 (* (* x x) 1/45)) (* x (* x (* (* x x) -2/945)))))>
#<alt (+ 1/3 (* (* x x) 1/45))>
#<alt (* (* x x) 1/45)>
#<alt (+ (* 1/3 x) (* (* (* x x) 1/45) x))>
#<alt (* 1/3 x)>
#<alt (* (* (* x x) 1/45) x)>
#<alt (/ (* (- 1/9 (* 1/2025 (* (* x x) (* x x)))) x) (+ 1/3 (* x (* x -1/45))))>
#<alt (* (- 1/9 (* 1/2025 (* (* x x) (* x x)))) x)>
#<alt (- 1/9 (* 1/2025 (* (* x x) (* x x))))>
#<alt (* 1/2025 (* (* x x) (* x x)))>
#<alt (* (* x (* x (* x (* x x)))) (+ (/ 1/45 (* x x)) (+ 2/945 (/ 1/3 (* x (* x (* x x)))))))>
#<alt (* x (* x (* x (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* (- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) 1)>
#<alt (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))>
#<alt (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45))))>
#<alt (* x (/ (* (- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) 1) (* (+ 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))) (+ 1/9 (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45))))))))>
#<alt (* (* x x) -2/945)>
#<alt (* x (* (* x x) -2/945))>
#<alt (* x -1/45)>
#<alt (* x (* x -1/45))>
#<alt (/ 1/45 (* x x))>
#<alt (/ 1/3 (* x (* x (* x x))))>
#<alt (/ (* (- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) 1) (* (+ 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))) (+ 1/9 (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45)))))))>
#<alt (* (+ 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))) (+ 1/9 (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45))))))>

Outputs
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/45 (pow x 3))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/9 x)>
#<alt (* x (+ 1/9 (* -1/2025 (pow x 4))))>
#<alt (* x (+ 1/9 (* -1/2025 (pow x 4))))>
#<alt (* x (+ 1/9 (* -1/2025 (pow x 4))))>
#<alt (* -1/2025 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* -1/2025 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))))>
#<alt 1/9>
#<alt (+ 1/9 (* -1/2025 (pow x 4)))>
#<alt (+ 1/9 (* -1/2025 (pow x 4)))>
#<alt (+ 1/9 (* -1/2025 (pow x 4)))>
#<alt (* -1/2025 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* -1/2025 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<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 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 1/729>
#<alt 1/729>
#<alt (+ 1/729 (* -1/8303765625 (pow x 12)))>
#<alt (+ 1/729 (* -1/8303765625 (pow x 12)))>
#<alt (* -1/8303765625 (pow x 12))>
#<alt (* -1/8303765625 (pow x 12))>
#<alt (* (pow x 12) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625))>
#<alt (* (pow x 12) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625))>
#<alt (* -1/8303765625 (pow x 12))>
#<alt (* -1/8303765625 (pow x 12))>
#<alt (* (pow x 12) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625))>
#<alt (* (pow x 12) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625))>
#<alt (* 1/8303765625 (pow x 12))>
#<alt (* 1/8303765625 (pow x 12))>
#<alt (* 1/8303765625 (pow x 12))>
#<alt (* 1/8303765625 (pow x 12))>
#<alt (* 1/8303765625 (pow x 12))>
#<alt (* 1/8303765625 (pow x 12))>
#<alt (* 1/8303765625 (pow x 12))>
#<alt (* 1/8303765625 (pow x 12))>
#<alt (* 1/8303765625 (pow x 12))>
#<alt (* 1/8303765625 (pow x 12))>
#<alt (* 1/8303765625 (pow x 12))>
#<alt (* 1/8303765625 (pow x 12))>
#<alt (* -1/135 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))>
#<alt (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))>
#<alt (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 3))>
#<alt (* -2/945 (pow x 3))>
#<alt (* -2/945 (pow x 3))>
#<alt (* -2/945 (pow x 3))>
#<alt (* -2/945 (pow x 3))>
#<alt (* -2/945 (pow x 3))>
#<alt (* -2/945 (pow x 3))>
#<alt (* -2/945 (pow x 3))>
#<alt (* -2/945 (pow x 3))>
#<alt (* -2/945 (pow x 3))>
#<alt (* -2/945 (pow x 3))>
#<alt (* -2/945 (pow x 3))>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (/ 1/45 (pow x 2))>
#<alt (/ 1/45 (pow x 2))>
#<alt (/ 1/45 (pow x 2))>
#<alt (/ 1/45 (pow x 2))>
#<alt (/ 1/45 (pow x 2))>
#<alt (/ 1/45 (pow x 2))>
#<alt (/ 1/45 (pow x 2))>
#<alt (/ 1/45 (pow x 2))>
#<alt (/ 1/45 (pow x 2))>
#<alt (/ 1/45 (pow x 2))>
#<alt (/ 1/45 (pow x 2))>
#<alt (/ 1/45 (pow x 2))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 1/243>
#<alt (+ 1/243 (* -1/3645 (pow x 2)))>
#<alt (+ 1/243 (* (pow x 2) (- (* 1/54675 (pow x 2)) 1/3645)))>
#<alt (+ 1/243 (* (pow x 2) (- (* (pow x 2) (+ 1/54675 (* -1/820125 (pow x 2)))) 1/3645)))>
#<alt (* -1/184528125 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/12301875 (/ 1 (pow x 2))) 1/184528125))>
#<alt (* (pow x 10) (- (* 1/12301875 (/ 1 (pow x 2))) (+ 1/184528125 (/ 1/820125 (pow x 4)))))>
#<alt (* (pow x 10) (- (+ (* 1/12301875 (/ 1 (pow x 2))) (* 1/54675 (/ 1 (pow x 6)))) (+ 1/184528125 (/ 1/820125 (pow x 4)))))>
#<alt (* -1/184528125 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/12301875 (/ 1 (pow x 2))) 1/184528125))>
#<alt (* (pow x 10) (- (* 1/12301875 (/ 1 (pow x 2))) (+ 1/184528125 (/ 1/820125 (pow x 4)))))>
#<alt (* (pow x 10) (- (+ (* 1/12301875 (/ 1 (pow x 2))) (* 1/54675 (/ 1 (pow x 6)))) (+ 1/184528125 (/ 1/820125 (pow x 4)))))>

Calls

81 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(* x (/ (* (- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) 1) (* (+ 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))) (+ 1/9 (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45))))))))
3.0ms	x	@	0	(* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45))))
1.0ms	x	@	inf	(* x (/ (* (- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) 1) (* (+ 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))) (+ 1/9 (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45))))))))
1.0ms	x	@	inf	(* (- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) 1)
1.0ms	x	@	inf	(/ (* (- 1/9 (* 1/2025 (* (* x x) (* x x)))) x) (+ 1/3 (* x (* x -1/45))))

rewrite409.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4070×	`-lowering-.f32`
4070×	`-lowering-.f64`
2868×	`/-lowering-/.f32`
2868×	`/-lowering-/.f64`
2182×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	212
1	321	180
2	3364	174
0	9375	174

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 891

Calls

Call 1

Inputs
(- (+ 1/3 (* (* x x) 1/45)) (* x (* x (* (* x x) -2/945))))
(* x (- (+ 1/3 (* (* x x) 1/45)) (* x (* x (* (* x x) -2/945)))))
(+ 1/3 (* (* x x) 1/45))
(* (* x x) 1/45)
(+ (* 1/3 x) (* (* (* x x) 1/45) x))
(* 1/3 x)
(* (* (* x x) 1/45) x)
(/ (* (- 1/9 (* 1/2025 (* (* x x) (* x x)))) x) (+ 1/3 (* x (* x -1/45))))
(* (- 1/9 (* 1/2025 (* (* x x) (* x x)))) x)
(- 1/9 (* 1/2025 (* (* x x) (* x x))))
(* 1/2025 (* (* x x) (* x x)))
(* (* x (* x (* x (* x x)))) (+ (/ 1/45 (* x x)) (+ 2/945 (/ 1/3 (* x (* x (* x x)))))))
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(* (- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) 1)
(* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))
(* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45))))
(* x (/ (* (- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) 1) (* (+ 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))) (+ 1/9 (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45))))))))
(* (* x x) -2/945)
(* x (* (* x x) -2/945))
(* x -1/45)
(* x (* x -1/45))
(/ 1/45 (* x x))
(/ 1/3 (* x (* x (* x x))))
(/ (* (- 1/729 (* (* (* x (* x x)) (* -1/91125 (* x (* x x)))) (* (* x (* x x)) (* -1/91125 (* x (* x x)))))) 1) (* (+ 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))) (+ 1/9 (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45)))))))
(* (+ 1/27 (* (* x (* x x)) (* -1/91125 (* x (* x x))))) (+ 1/9 (* (* x (* x -1/45)) (+ 1/3 (* x (* x -1/45))))))

Outputs
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -2/945 binary64))) (-.f64 #s(literal 0 binary64) x))))
(+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -2/945 binary64))))))
(+.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -2/945 binary64))) (-.f64 #s(literal 0 binary64) x)))
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(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1/8303765625 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x #s(literal -1/45 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))))) (neg.f64 (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -1/91125 binary64)))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/19683 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1/756680642578125 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x #s(literal -1/45 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))))) (neg.f64 (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -1/91125 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal -1/91125 binary64)))) #s(literal 1/27 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -1/91125 binary64)))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -1/91125 binary64)))) #s(literal 1/27 binary64)))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 x (.f64 (.f64 x #s(literal -1/45 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))) (-.f64 (.f64 x (.f64 (.f64 x #s(literal -1/45 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -1/91125 binary64)))) #s(literal 1/27 binary64)))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x #s(literal -1/45 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -1/91125 binary64)))) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x #s(literal -1/45 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))))
(.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x #s(literal -1/45 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -1/91125 binary64)))) #s(literal 1/27 binary64)))

simplify226.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

3582×	`-lowering-.f32`
3582×	`-lowering-.f64`
1656×	`fma-define`
1444×	`fma-lowering-fma.f32`
1444×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	2023
1	333	1738
2	843	1732
3	2133	1724
4	5203	1724
0	8495	1724

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/45 (pow x 3))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/9 x)
(* x (+ 1/9 (* -1/2025 (pow x 4))))
(* x (+ 1/9 (* -1/2025 (pow x 4))))
(* x (+ 1/9 (* -1/2025 (pow x 4))))
(* -1/2025 (pow x 5))
(* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* -1/2025 (pow x 5))
(* -1 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4))))))
1/9
(+ 1/9 (* -1/2025 (pow x 4)))
(+ 1/9 (* -1/2025 (pow x 4)))
(+ 1/9 (* -1/2025 (pow x 4)))
(* -1/2025 (pow x 4))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* -1/2025 (pow x 4))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 4) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/2025 (pow x 4))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(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 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)
1/729
1/729
(+ 1/729 (* -1/8303765625 (pow x 12)))
(+ 1/729 (* -1/8303765625 (pow x 12)))
(* -1/8303765625 (pow x 12))
(* -1/8303765625 (pow x 12))
(* (pow x 12) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625))
(* (pow x 12) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625))
(* -1/8303765625 (pow x 12))
(* -1/8303765625 (pow x 12))
(* (pow x 12) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625))
(* (pow x 12) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625))
(* 1/8303765625 (pow x 12))
(* 1/8303765625 (pow x 12))
(* 1/8303765625 (pow x 12))
(* 1/8303765625 (pow x 12))
(* 1/8303765625 (pow x 12))
(* 1/8303765625 (pow x 12))
(* 1/8303765625 (pow x 12))
(* 1/8303765625 (pow x 12))
(* 1/8303765625 (pow x 12))
(* 1/8303765625 (pow x 12))
(* 1/8303765625 (pow x 12))
(* 1/8303765625 (pow x 12))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))
(* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))
(* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 3))
(* -2/945 (pow x 3))
(* -2/945 (pow x 3))
(* -2/945 (pow x 3))
(* -2/945 (pow x 3))
(* -2/945 (pow x 3))
(* -2/945 (pow x 3))
(* -2/945 (pow x 3))
(* -2/945 (pow x 3))
(* -2/945 (pow x 3))
(* -2/945 (pow x 3))
(* -2/945 (pow x 3))
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(/ 1/45 (pow x 2))
(/ 1/45 (pow x 2))
(/ 1/45 (pow x 2))
(/ 1/45 (pow x 2))
(/ 1/45 (pow x 2))
(/ 1/45 (pow x 2))
(/ 1/45 (pow x 2))
(/ 1/45 (pow x 2))
(/ 1/45 (pow x 2))
(/ 1/45 (pow x 2))
(/ 1/45 (pow x 2))
(/ 1/45 (pow x 2))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
1/243
(+ 1/243 (* -1/3645 (pow x 2)))
(+ 1/243 (* (pow x 2) (- (* 1/54675 (pow x 2)) 1/3645)))
(+ 1/243 (* (pow x 2) (- (* (pow x 2) (+ 1/54675 (* -1/820125 (pow x 2)))) 1/3645)))
(* -1/184528125 (pow x 10))
(* (pow x 10) (- (* 1/12301875 (/ 1 (pow x 2))) 1/184528125))
(* (pow x 10) (- (* 1/12301875 (/ 1 (pow x 2))) (+ 1/184528125 (/ 1/820125 (pow x 4)))))
(* (pow x 10) (- (+ (* 1/12301875 (/ 1 (pow x 2))) (* 1/54675 (/ 1 (pow x 6)))) (+ 1/184528125 (/ 1/820125 (pow x 4)))))
(* -1/184528125 (pow x 10))
(* (pow x 10) (- (* 1/12301875 (/ 1 (pow x 2))) 1/184528125))
(* (pow x 10) (- (* 1/12301875 (/ 1 (pow x 2))) (+ 1/184528125 (/ 1/820125 (pow x 4)))))
(* (pow x 10) (- (+ (* 1/12301875 (/ 1 (pow x 2))) (* 1/54675 (/ 1 (pow x 6)))) (+ 1/184528125 (/ 1/820125 (pow x 4)))))

Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(* 2/945 (pow x 4))
(.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(* 2/945 (pow x 4))
(.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
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(* -1/8303765625 (pow x 12))
(*.f64 #s(literal -1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625))
(+.f64 #s(literal 1/729 binary64) (*.f64 #s(literal -1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64))))
(* (pow x 12) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625))
(+.f64 #s(literal 1/729 binary64) (*.f64 #s(literal -1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64))))
(* 1/8303765625 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64))
(* 1/8303765625 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64))
(* 1/8303765625 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64))
(* 1/8303765625 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64))
(* 1/8303765625 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64))
(* 1/8303765625 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64))
(* 1/8303765625 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64))
(* 1/8303765625 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64))
(* 1/8303765625 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64))
(* 1/8303765625 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64))
(* 1/8303765625 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64))
(* 1/8303765625 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/8303765625 binary64))
(* -1/135 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/135 binary64))
(* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))
(.f64 (.f64 x x) (+.f64 #s(literal -1/135 binary64) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))
(* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))
(.f64 (.f64 x x) (+.f64 #s(literal -1/135 binary64) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))
(* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135))
(.f64 (.f64 x x) (+.f64 #s(literal -1/135 binary64) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))
(* 1/2025 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2025 binary64))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/135 binary64) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/135 binary64) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/135 binary64) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))
(* 1/2025 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2025 binary64))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/135 binary64) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/135 binary64) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/135 binary64) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 2))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(* -2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2/945 binary64))))
(* -2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2/945 binary64))))
(* -2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2/945 binary64))))
(* -2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2/945 binary64))))
(* -2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2/945 binary64))))
(* -2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2/945 binary64))))
(* -2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2/945 binary64))))
(* -2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2/945 binary64))))
(* -2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2/945 binary64))))
(* -2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2/945 binary64))))
(* -2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2/945 binary64))))
(* -2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -2/945 binary64))))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(/ 1/45 (pow x 2))
(/.f64 #s(literal 1/45 binary64) (*.f64 x x))
(/ 1/45 (pow x 2))
(/.f64 #s(literal 1/45 binary64) (*.f64 x x))
(/ 1/45 (pow x 2))
(/.f64 #s(literal 1/45 binary64) (*.f64 x x))
(/ 1/45 (pow x 2))
(/.f64 #s(literal 1/45 binary64) (*.f64 x x))
(/ 1/45 (pow x 2))
(/.f64 #s(literal 1/45 binary64) (*.f64 x x))
(/ 1/45 (pow x 2))
(/.f64 #s(literal 1/45 binary64) (*.f64 x x))
(/ 1/45 (pow x 2))
(/.f64 #s(literal 1/45 binary64) (*.f64 x x))
(/ 1/45 (pow x 2))
(/.f64 #s(literal 1/45 binary64) (*.f64 x x))
(/ 1/45 (pow x 2))
(/.f64 #s(literal 1/45 binary64) (*.f64 x x))
(/ 1/45 (pow x 2))
(/.f64 #s(literal 1/45 binary64) (*.f64 x x))
(/ 1/45 (pow x 2))
(/.f64 #s(literal 1/45 binary64) (*.f64 x x))
(/ 1/45 (pow x 2))
(/.f64 #s(literal 1/45 binary64) (*.f64 x x))
(/ 1/3 (pow x 4))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/3 (pow x 4))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/3 (pow x 4))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/3 (pow x 4))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/3 (pow x 4))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/3 (pow x 4))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/3 (pow x 4))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/3 (pow x 4))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/3 (pow x 4))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/3 (pow x 4))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/3 (pow x 4))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/3 (pow x 4))
(/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
(+ 1/3 (* 1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
(+ 1/3 (* 1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
(* 1/45 (pow x 2))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
(* 1/45 (pow x 2))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
1/243
#s(literal 1/243 binary64)
(+ 1/243 (* -1/3645 (pow x 2)))
(+.f64 #s(literal 1/243 binary64) (.f64 (.f64 x x) #s(literal -1/3645 binary64)))
(+ 1/243 (* (pow x 2) (- (* 1/54675 (pow x 2)) 1/3645)))
(+.f64 #s(literal 1/243 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3645 binary64) (.f64 x (.f64 x #s(literal 1/54675 binary64)))))))
(+ 1/243 (* (pow x 2) (- (* (pow x 2) (+ 1/54675 (* -1/820125 (pow x 2)))) 1/3645)))
(+.f64 #s(literal 1/243 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3645 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/54675 binary64) (.f64 x (.f64 x #s(literal -1/820125 binary64))))))))
(* -1/184528125 (pow x 10))
(*.f64 #s(literal -1/184528125 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (* 1/12301875 (/ 1 (pow x 2))) 1/184528125))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/184528125 binary64) (/.f64 #s(literal 1/12301875 binary64) (.f64 x x))))
(* (pow x 10) (- (* 1/12301875 (/ 1 (pow x 2))) (+ 1/184528125 (/ 1/820125 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 1/12301875 binary64) (.f64 x x)) (+.f64 #s(literal -1/184528125 binary64) (/.f64 #s(literal -1/820125 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 10) (- (+ (* 1/12301875 (/ 1 (pow x 2))) (* 1/54675 (/ 1 (pow x 6)))) (+ 1/184528125 (/ 1/820125 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 1/12301875 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/54675 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/184528125 binary64) (/.f64 #s(literal -1/820125 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(* -1/184528125 (pow x 10))
(*.f64 #s(literal -1/184528125 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (* 1/12301875 (/ 1 (pow x 2))) 1/184528125))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/184528125 binary64) (/.f64 #s(literal 1/12301875 binary64) (.f64 x x))))
(* (pow x 10) (- (* 1/12301875 (/ 1 (pow x 2))) (+ 1/184528125 (/ 1/820125 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 1/12301875 binary64) (.f64 x x)) (+.f64 #s(literal -1/184528125 binary64) (/.f64 #s(literal -1/820125 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 10) (- (+ (* 1/12301875 (/ 1 (pow x 2))) (* 1/54675 (/ 1 (pow x 6)))) (+ 1/184528125 (/ 1/820125 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 1/12301875 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/54675 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/184528125 binary64) (/.f64 #s(literal -1/820125 binary64) (.f64 x (.f64 x (*.f64 x x))))))))

eval199.0ms (1.4%)

Compiler: Compiled 66888 to 2987 computations (95.5% saved)

prune125.0ms (0.9%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1458	3	1461
Fresh	4	0	4
Picked	4	1	5
Done	0	4	4
Total	1466	8	1474

Accuracy

100.0%

Counts

1474 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (.f64 x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))
▶	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))))
▶	99.4%	(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))) x))
✓	99.4%	(.f64 x (-.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -2/945 binary64))))))
✓	99.4%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
✓	99.1%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
✓	99.5%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (*.f64 x x) #s(literal 1/4725 binary64))))))))
✓	98.4%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 114 to 75 computations (34.2% saved)

simplify182.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -1/45 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/9 binary64))
✓	cost-diff	0	(/.f64 (.f64 x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/45 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64)))))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))))
✓	cost-diff	0	(.f64 (.f64 x x) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))
✓	cost-diff	0	(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal -2/945 binary64)))) x)
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) x)
✓	cost-diff	128	(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))) x))

Rules

2636×	`sum3-define`
2348×	`fnmadd-define`
2104×	`fma-lowering-fma.f32`
2104×	`fma-lowering-fma.f64`
1852×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	115
1	60	109
2	130	103
3	316	103
4	710	103
5	1214	103
6	1985	103
7	2968	103
8	5903	103
0	8383	103

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* 1/3 x) (* (* (* x x) (- 1/45 (* (* x x) -2/945))) x))
(* 1/3 x)
1/3
x
(* (* (* x x) (- 1/45 (* (* x x) -2/945))) x)
(* (* x x) (- 1/45 (* (* x x) -2/945)))
(* x x)
(- 1/45 (* (* x x) -2/945))
1/45
(* (* x x) -2/945)
-2/945
(/ x (/ 1 (+ 1/3 (* x (* x 1/45)))))
x
(/ 1 (+ 1/3 (* x (* x 1/45))))
1
(+ 1/3 (* x (* x 1/45)))
1/3
(* x (* x 1/45))
(* x 1/45)
1/45
(/ (* x 1/9) (+ 1/3 (* x (* x -1/45))))
(* x 1/9)
x
1/9
(+ 1/3 (* x (* x -1/45)))
1/3
(* x (* x -1/45))
(* x -1/45)
-1/45

Outputs
(+ (* 1/3 x) (* (* (* x x) (- 1/45 (* (* x x) -2/945))) x))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
x
(* (* (* x x) (- 1/45 (* (* x x) -2/945))) x)
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(* (* x x) (- 1/45 (* (* x x) -2/945)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))
(* x x)
(*.f64 x x)
(- 1/45 (* (* x x) -2/945))
(+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))
1/45
#s(literal 1/45 binary64)
(* (* x x) -2/945)
(.f64 (.f64 x x) #s(literal -2/945 binary64))
-2/945
#s(literal -2/945 binary64)
(/ x (/ 1 (+ 1/3 (* x (* x 1/45)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
x
(/ 1 (+ 1/3 (* x (* x 1/45))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))))
1
#s(literal 1 binary64)
(+ 1/3 (* x (* x 1/45)))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
1/3
#s(literal 1/3 binary64)
(* x (* x 1/45))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(* x 1/45)
(*.f64 x #s(literal 1/45 binary64))
1/45
#s(literal 1/45 binary64)
(/ (* x 1/9) (+ 1/3 (* x (* x -1/45))))
(/.f64 (.f64 x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(* x 1/9)
(*.f64 x #s(literal 1/9 binary64))
x
1/9
#s(literal 1/9 binary64)
(+ 1/3 (* x (* x -1/45)))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))
1/3
#s(literal 1/3 binary64)
(* x (* x -1/45))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(* x -1/45)
(*.f64 x #s(literal -1/45 binary64))
-1/45
#s(literal -1/45 binary64)

localize130.0ms (0.9%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/45 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/45 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/9 binary64))
✓	accuracy	99.3%	(/.f64 (.f64 x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
✓	accuracy	100.0%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/45 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/45 binary64))
✓	accuracy	99.9%	(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal -2/945 binary64)))) x)
✓	accuracy	99.7%	(.f64 (.f64 x x) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -2/945 binary64))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) x)

Results

100.0ms

256×

valid

Compiler

Compiled 137 to 25 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 19.0ms (38.7% of total)

...c/correct-round.rkt:119:19: 19.0ms (38.7% of total)

ival-div: 5.0ms (10.2% of total)

ival-add: 4.0ms (8.2% of total)

ival-sub: 1.0ms (2% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0%)

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (+ (* 1/3 x) (* (* (* x x) (- 1/45 (* (* x x) -2/945))) x))>
#<alt (* 1/3 x)>
#<alt (* (* (* x x) (- 1/45 (* (* x x) -2/945))) x)>
#<alt (* (* x x) (- 1/45 (* (* x x) -2/945)))>
#<alt (/ x (/ 1 (+ 1/3 (* x (* x 1/45)))))>
#<alt (/ 1 (+ 1/3 (* x (* x 1/45))))>
#<alt (+ 1/3 (* x (* x 1/45)))>
#<alt (* x (* x 1/45))>
#<alt (/ (* x 1/9) (+ 1/3 (* x (* x -1/45))))>
#<alt (* x 1/9)>
#<alt (+ 1/3 (* x (* x -1/45)))>
#<alt (* x (* x -1/45))>
#<alt (* (* x x) -2/945)>
#<alt (* x 1/45)>
#<alt (* x -1/45)>

Outputs
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 3>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))>
#<alt (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))>
#<alt (/ 45 (pow x 2))>
#<alt (/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 45 (pow x 2))>
#<alt (/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/45 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2))))))))>
#<alt (/ -5 x)>
#<alt (* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) x)>
#<alt (/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) x)>
#<alt (/ -5 x)>
#<alt (* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (/ 1125 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (+ (* 16875 (/ 1 (pow x 6))) (/ 1125 (pow x 4))))) x))>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt (* 1/9 x)>
#<alt 1/3>
#<alt (+ 1/3 (* -1/45 (pow x 2)))>
#<alt (+ 1/3 (* -1/45 (pow x 2)))>
#<alt (+ 1/3 (* -1/45 (pow x 2)))>
#<alt (* -1/45 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* -1/45 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* -2/945 (pow x 2))>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>
#<alt (* -1/45 x)>

Calls

45 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x 1/9)
0.0ms	x	@	inf	(* x 1/9)
0.0ms	x	@	-inf	(/ (* x 1/9) (+ 1/3 (* x (* x -1/45))))
0.0ms	x	@	inf	(/ (* x 1/9) (+ 1/3 (* x (* x -1/45))))
0.0ms	x	@	inf	(/ 1 (+ 1/3 (* x (* x 1/45))))

rewrite323.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3682×	`-lowering-.f32`
3682×	`-lowering-.f64`
2694×	`/-lowering-/.f32`
2694×	`/-lowering-/.f64`
1782×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	95
1	134	89
2	1040	84
0	8674	84

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 498

Calls

Call 1

Inputs
(+ (* 1/3 x) (* (* (* x x) (- 1/45 (* (* x x) -2/945))) x))
(* 1/3 x)
(* (* (* x x) (- 1/45 (* (* x x) -2/945))) x)
(* (* x x) (- 1/45 (* (* x x) -2/945)))
(/ x (/ 1 (+ 1/3 (* x (* x 1/45)))))
(/ 1 (+ 1/3 (* x (* x 1/45))))
(+ 1/3 (* x (* x 1/45)))
(* x (* x 1/45))
(/ (* x 1/9) (+ 1/3 (* x (* x -1/45))))
(* x 1/9)
(+ 1/3 (* x (* x -1/45)))
(* x (* x -1/45))
(* (* x x) -2/945)
(* x 1/45)
(* x -1/45)

Outputs
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (.f64 #s(literal 1/3 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) (.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) (.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))) (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (.f64 x #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
(fma.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))) (.f64 x (.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(neg.f64 (/.f64 (+.f64 (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (.f64 x #s(literal -1/3 binary64))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64)))))) (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64))))
(/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))))
(/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/2025 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64)))))
(/.f64 (+.f64 #s(literal -1/9 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/2025 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))))) #s(literal -1/27 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/45 binary64))) #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))))) #s(literal -1/27 binary64)) (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64))))))))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64)))) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/19683 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/8303765625 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/729 binary64) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/8303765625 binary64)) (.f64 #s(literal -1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/45 binary64))) #s(literal -1/3 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/8303765625 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/45 binary64))) #s(literal -1/3 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/8303765625 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/81 binary64) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4100625 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4100625 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/9 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/2025 binary64))))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))))) #s(literal -1/27 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64)))))) (.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64)))))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))))) (+.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))
(.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64)))
(.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal -1/3 binary64))))))
(.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))))))
(.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/2025 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64))))))
(.f64 (+.f64 #s(literal -1/9 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/2025 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal -1/45 binary64))) #s(literal -1/3 binary64))))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))))) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))))))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal -1/45 binary64))) #s(literal -1/3 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(neg.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))))
(/.f64 (*.f64 x #s(literal -1/45 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(.f64 #s(literal 1/45 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (.f64 x #s(literal 1/45 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal -1/45 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/45 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 1/45 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1/45 binary64))
(/.f64 (*.f64 x #s(literal -2/945 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 x #s(literal -2/945 binary64)))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(.f64 #s(literal -2/945 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -2/945 binary64)) x)
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/45 binary64)))
(neg.f64 (*.f64 x #s(literal -1/45 binary64)))
(/.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) x)
(*.f64 #s(literal -1/45 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/45 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/45 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/45 binary64)))
(neg.f64 (*.f64 x #s(literal 1/45 binary64)))
(/.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal -1/45 binary64))
(*.f64 #s(literal 1/45 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1/45 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/45 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/45 binary64))

simplify245.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2596×	`-lowering-.f32`
2596×	`-lowering-.f64`
1812×	`sum3-define`
1738×	`fma-lowering-fma.f32`
1738×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	1240
1	393	1035
2	1142	1025
3	3041	1022
4	6005	1022
0	8081	1022

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 2/945 (pow x 2))))
(* (pow x 3) (+ 1/45 (* 2/945 (pow x 2))))
(* (pow x 3) (+ 1/45 (* 2/945 (pow x 2))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/45 (pow x 2))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2))))))))
(/ -5 x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) x)
(/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) x)
(/ -5 x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (/ 1125 (pow x 4)))) x))
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (+ (* 16875 (/ 1 (pow x 6))) (/ 1125 (pow x 4))))) x))
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
(* 1/9 x)
1/3
(+ 1/3 (* -1/45 (pow x 2)))
(+ 1/3 (* -1/45 (pow x 2)))
(+ 1/3 (* -1/45 (pow x 2)))
(* -1/45 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* -1/45 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* -2/945 (pow x 2))
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))))
(* 2/945 (pow x 5))
(.f64 x (.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 2/945 (pow x 5))
(.f64 x (.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
(* (pow x 3) (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
(* (pow x 3) (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
(* 2/945 (pow x 5))
(.f64 x (.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))))
(* 2/945 (pow x 5))
(.f64 x (.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* 2/945 (pow x 4))
(.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* 2/945 (pow x 4))
(.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
3
#s(literal 3 binary64)
(+ 3 (* -1/5 (pow x 2)))
(+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64)))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/5 binary64) (.f64 (.f64 x x) #s(literal 1/75 binary64))))))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
(+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/75 binary64) (.f64 (.f64 x x) #s(literal -1/1125 binary64)))))))
(/ 45 (pow x 2))
(/.f64 #s(literal 45 binary64) (*.f64 x x))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 x x))) x) x)
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (.f64 x x))) (/.f64 #s(literal 10125 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 10125 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (.f64 x x))) (/.f64 #s(literal -151875 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 45 (pow x 2))
(/.f64 #s(literal 45 binary64) (*.f64 x x))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 x x))) x) x)
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (.f64 x x))) (/.f64 #s(literal 10125 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 10125 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (.f64 x x))) (/.f64 #s(literal -151875 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(+ 1/3 (* 1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(+ 1/3 (* 1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 1/675 binary64)))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/675 binary64) (.f64 (*.f64 x x) #s(literal 1/10125 binary64))))))))
(/ -5 x)
(/.f64 #s(literal -5 binary64) x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -75 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) x)
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -75 binary64) (/.f64 #s(literal -1125 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1125 binary64) (/.f64 #s(literal -16875 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -75 binary64) (*.f64 x x)))) x)
(/ -5 x)
(/.f64 #s(literal -5 binary64) x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -75 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (/ 1125 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal -5 binary64) (+.f64 (/.f64 #s(literal -75 binary64) (.f64 x x)) (/.f64 #s(literal -1125 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (+ (* 16875 (/ 1 (pow x 6))) (/ 1125 (pow x 4))))) x))
(/.f64 (+.f64 (+.f64 #s(literal -5 binary64) (+.f64 (/.f64 #s(literal -75 binary64) (.f64 x x)) (/.f64 #s(literal -1125 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal -16875 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))
(+ 1/3 (* -1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))
(+ 1/3 (* -1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* -2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal -2/945 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))
(* -1/45 x)
(*.f64 x #s(literal -1/45 binary64))

eval98.0ms (0.7%)

Compiler: Compiled 17935 to 1681 computations (90.6% saved)

prune68.0ms (0.5%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	674	4	678
Fresh	0	0	0
Picked	1	2	3
Done	2	3	5
Total	677	9	686

Accuracy

100.0%

Counts

686 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(/.f64 (.f64 x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))
	99.6%	(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))))
	98.9%	(/.f64 x #s(literal 3 binary64))
	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))) (*.f64 x #s(literal 1/9 binary64))))
✓	99.4%	(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))) x))
	99.1%	(.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64))))) x)
✓	99.4%	(.f64 x (-.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -2/945 binary64))))))
✓	99.4%	(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
✓	99.5%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (*.f64 x x) #s(literal 1/4725 binary64))))))))

Compiler

Compiled 617 to 207 computations (66.5% saved)

regimes13.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) x)
(/.f64 x #s(literal 3 binary64))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))))
(.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64))))) x)
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))))
(/.f64 (.f64 x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))) (*.f64 x #s(literal 1/9 binary64))))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (*.f64 x #s(literal -2/945 binary64)))))))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64)))) x))
(.f64 x (-.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -2/945 binary64))))))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal -2/945 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x))) x))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (*.f64 x x) #s(literal 1/4725 binary64))))))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))))
(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64)))))))) (.f64 x (.f64 x x))) (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x)))) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) #s(literal 1/4725 binary64))))) (.f64 x (.f64 x x))) (*.f64 #s(literal 1/3 binary64) x)))))

Outputs
(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))))

Calls

2 calls:

7.0ms	x
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) x)
(/.f64 x #s(literal 3 binary64))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))

Outputs
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	24
1	24	24
2	39	24
3	47	24
4	53	24
5	55	24

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(/.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) x)

Outputs
(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))))
(.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(/.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))

soundness1.4s (9.8%)

Rules

4234×	`-lowering-.f32`
4234×	`-lowering-.f64`
4070×	`-lowering-.f32`
4070×	`-lowering-.f64`
2930×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	1240
1	393	1035
2	1142	1025
3	3041	1022
4	6005	1022
0	8081	1022
0	50	212
1	321	180
2	3364	174
0	9375	174
0	25	124
1	161	112
2	1474	108
0	8142	108
0	67	302
1	186	269
2	560	266
3	1807	266
4	2716	266
5	4431	266
6	6050	266
7	6596	266
0	8084	266

Stop Event

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

Compiler

Compiled 97 to 64 computations (34% saved)

preprocess45.0ms (0.3%)

Remove: (negabs x)
Compiler: Compiled 158 to 102 computations (35.4% saved)

Iter	Nodes	Cost
0	12	20
1	29	19
2	64	18
3	146	18
4	300	18
5	464	18
6	507	18
7	515	18
0	6	6
1	12	6
2	20	6
3	31	6
4	45	6
5	82	6
6	152	6
7	248	6
8	350	6
9	486	6
10	607	6
11	639	6
0	639	6

Iter	Nodes	Cost
0	6	15
1	12	15
2	20	15
3	31	15
4	45	15
5	82	15
6	152	15
7	248	15
8	350	15
9	486	15
10	607	15
11	639	15
0	639	15

Iter	Nodes	Cost
0	12	20
1	29	19
2	64	18
3	146	18
4	300	18
5	464	18
6	507	18
7	515	18
0	6	6
1	12	6
2	20	6
3	31	6
4	45	6
5	82	6
6	152	6
7	248	6
8	350	6
9	486	6
10	607	6
11	639	6
0	639	6

Iter	Nodes	Cost
0	6	15
1	12	15
2	20	15
3	31	15
4	45	15
5	82	15
6	152	15
7	248	15
8	350	15
9	486	15
10	607	15
11	639	15
0	639	15

analyze8.0ms (0.1%)

sample7.6s (54.8%)

preprocess40.0ms (0.3%)

explain448.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (0.1%)

localize204.0ms (1.5%)

series4.0ms (0%)

rewrite215.0ms (1.5%)

simplify189.0ms (1.4%)

eval34.0ms (0.2%)

prune29.0ms (0.2%)

simplify151.0ms (1.1%)

localize232.0ms (1.7%)

series11.0ms (0.1%)

rewrite322.0ms (2.3%)

simplify192.0ms (1.4%)

eval66.0ms (0.5%)

prune56.0ms (0.4%)

simplify291.0ms (2.1%)

localize315.0ms (2.3%)

series23.0ms (0.2%)

rewrite409.0ms (2.9%)

simplify226.0ms (1.6%)

eval199.0ms (1.4%)

prune125.0ms (0.9%)

simplify182.0ms (1.3%)

localize130.0ms (0.9%)

series6.0ms (0%)

rewrite323.0ms (2.3%)

simplify245.0ms (1.8%)

eval98.0ms (0.7%)

prune68.0ms (0.5%)

regimes13.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify8.0ms (0.1%)

soundness1.4s (9.8%)

preprocess45.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	20
1	29	19
2	64	18
3	146	18
4	300	18
5	464	18
6	507	18
7	515	18
0	6	6
1	12	6
2	20	6
3	31	6
4	45	6
5	82	6
6	152	6
7	248	6
8	350	6
9	486	6
10	607	6
11	639	6
0	639	6

Iter	Nodes	Cost
0	6	15
1	12	15
2	20	15
3	31	15
4	45	15
5	82	15
6	152	15
7	248	15
8	350	15
9	486	15
10	607	15
11	639	15
0	639	15