Metrics for invcot (example 3.9)

analyze7.0ms (0%)

Memory

-26.1MiB live, 11.6MiB allocated

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 12 computations (25% saved)

sample8.3s (50.2%)

Memory

-31.5MiB live, 10 427.5MiB allocated

Samples

6.6s	3 904×	2	valid
1.3s	4 312×	1	valid
3.0ms	40×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 7.6s

ival-tan: 6.5s (85.1% of total)

ival-div: 458.0ms (6% of total)

const: 313.0ms (4.1% of total)

adjust: 148.0ms (1.9% of total)

ival-sub: 109.0ms (1.4% of total)

ival-<: 84.0ms (1.1% of total)

exact: 13.0ms (0.2% of total)

ival-and: 12.0ms (0.2% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

preprocess24.0ms (0.1%)

Memory

1.7MiB live, 39.6MiB allocated

Algorithm

2×	egg-herbie

Rules

112×	`accelerator-lowering-fma.f32`
112×	`accelerator-lowering-fma.f64`
80×	`-lowering-.f32`
80×	`-lowering-.f64`
48×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	25	24
2	60	24
3	143	24
4	208	24
5	230	24
6	232	24
0	6	8
1	10	8
2	18	8
3	27	8
4	39	8
5	59	8
6	98	8
7	129	8
8	187	8
9	226	8
10	248	8
0	248	8

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

Symmetry

(negabs x)

explain680.0ms (4.1%)

Memory

-10.0MiB live, 577.6MiB allocated

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	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(tan.f64 x)`
0	-	-	`(/.f64 #s(literal 1 binary64) (tan.f64 x))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`	cancellation	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

366.0ms	228×	2	valid
58.0ms	280×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 403.0ms

ival-tan: 368.0ms (91.3% of total)

ival-div: 20.0ms (5% of total)

adjust: 7.0ms (1.7% of total)

ival-sub: 6.0ms (1.5% of total)

exact: 1.0ms (0.2% of total)

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

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

eval0.0ms (0%)

Memory: 1.2MiB live, 1.2MiB allocated
Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.4%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify10.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

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

112×	`accelerator-lowering-fma.f32`
112×	`accelerator-lowering-fma.f64`
80×	`-lowering-.f32`
80×	`-lowering-.f64`
48×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	10	19
2	18	19
3	27	19
4	39	19
5	59	19
6	98	19
7	129	19
8	187	19
9	226	19
10	248	19
0	248	19

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)

localize352.0ms (2.1%)

Memory

-4.5MiB live, 231.4MiB allocated

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	6.5%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Samples

277.0ms	114×	2	valid
64.0ms	140×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 331.0ms

ival-tan: 313.0ms (94.6% of total)

ival-div: 10.0ms (3% of total)

adjust: 4.0ms (1.2% of total)

ival-sub: 3.0ms (0.9% of total)

exact: 0.0ms (0% of total)

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

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

series4.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

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))

rewrite230.0ms (1.4%)

Memory

-18.0MiB live, 377.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 072×	`accelerator-lowering-fma.f32`
3 072×	`accelerator-lowering-fma.f64`
2 002×	`-lowering-.f32`
2 002×	`-lowering-.f64`
1 374×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	45	17
2	448	17
3	5699	17
0	9207	17

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 277

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

simplify554.0ms (3.3%)

Memory

25.8MiB live, 703.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18 970×	`accelerator-lowering-fma.f32`
18 970×	`accelerator-lowering-fma.f64`
3 656×	`-lowering-.f32`
3 656×	`-lowering-.f64`
3 436×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	324
1	179	324
2	458	318
3	1321	318
4	2085	318
5	3083	318
6	3670	318
7	3941	318
8	5080	318
9	7268	318
0	8431	300

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

eval40.0ms (0.2%)

Memory: -10.0MiB live, 106.9MiB allocated
Compiler: Compiled 5 975 to 771 computations (87.1% saved)

prune39.0ms (0.2%)

Memory

23.0MiB live, 101.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	322	3	325
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	323	3	326

Accuracy

99.4%

Counts

326 → 3

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 (*.f64 x x) #s(literal 2/945 binary64))))))
▶	99.3%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
▶	98.7%	(*.f64 #s(literal 1/3 binary64) x)

Status

Accuracy

Program

▶

99.4%

(*.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))))))

▶

99.3%

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

▶

98.7%

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

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify12.0ms (0.1%)

Memory

-18.6MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

232×	`accelerator-lowering-fma.f32`
232×	`accelerator-lowering-fma.f64`
144×	`-lowering-.f32`
144×	`-lowering-.f64`
72×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	90
1	44	90
2	105	90
3	180	90
4	191	90
5	196	90
0	196	82

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize52.0ms (0.3%)

Memory

25.2MiB live, 103.2MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))
✓	accuracy	99.6%	(.f64 (.f64 x x) #s(literal 2/945 binary64))
✓	accuracy	99.4%	(.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))))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
✓	accuracy	99.7%	(.f64 #s(literal 1/45 binary64) (.f64 x x))
✓	accuracy	99.4%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) x)

Samples

33.0ms

256×

valid

Compiler

Compiled 92 to 16 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 10.0ms (43.7% of total)

const: 9.0ms (39.3% of total)

ival-add: 3.0ms (13.1% of total)

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

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

series10.0ms (0.1%)

Memory

-25.4MiB live, 15.2MiB allocated

Counts

10 → 120

Calls

Call 1

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

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* 1/3 x)
1.0ms	x	@	inf	(* (* x x) (+ 1/45 (* (* x x) 2/945)))
1.0ms	x	@	inf	(* 1/3 x)
0.0ms	x	@	0	(* x (+ 1/3 (* 1/45 (* x x))))
0.0ms	x	@	inf	(* x (+ 1/3 (* 1/45 (* x x))))

rewrite408.0ms (2.5%)

Memory

16.3MiB live, 765.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 164×	`accelerator-lowering-fma.f32`
8 164×	`accelerator-lowering-fma.f64`
5 136×	`-lowering-.f32`
5 136×	`-lowering-.f64`
2 554×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	78
1	85	78
2	670	78
3	6993	78
0	8020	70

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 422

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (* x x))))
(+ 1/3 (* 1/45 (* x x)))
(* 1/45 (* x x))
(* x x)
(* 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)
(+ 1/45 (* (* 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 x (.f64 x (.f64 x #s(literal 1/45 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 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 (.f64 x x) #s(literal -1/45 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))))
(fma.f64 #s(literal 1/3 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(fma.f64 x #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 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 (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x (.f64 #s(literal 1/135 binary64) x)) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 #s(literal 1/3 binary64) x)))) (+.f64 (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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)))) (.f64 x (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))) (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2025 binary64))))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.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)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64)))) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))) (neg.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (-.f64 #s(literal 0 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))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 #s(literal 1/3 binary64) x)))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (-.f64 #s(literal 0 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))))))
(/.f64 (.f64 x (+.f64 #s(literal -1/9 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
(/.f64 (.f64 x #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 x (+.f64 (.f64 x (.f64 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 0 binary64) (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) x) (-.f64 #s(literal 0 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))))))
(/.f64 (.f64 (+.f64 #s(literal -1/9 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64)))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) #s(literal -1/9 binary64)) x) (+.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64)))
(.f64 x (+.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)))) x)
(.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (/.f64 #s(literal 1 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))
(.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 x (+.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))))))
(.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))) x))
(.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
(.f64 (+.f64 (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (*.f64 #s(literal 1/3 binary64) x))))))
(.f64 (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))))
(.f64 (.f64 x (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 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))))))
(.f64 (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))
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(/.f64 (.f64 (-.f64 #s(literal 1/8303765625 binary64) (.f64 #s(literal 64/712181767349390625 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/91125 binary64) (.f64 #s(literal -8/843908625 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/8303765625 binary64) (.f64 #s(literal 64/712181767349390625 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) (+.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))))))) (-.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16/797493650625 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))))) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/843908625 binary64))) #s(literal -1/91125 binary64))) (neg.f64 (+.f64 #s(literal -1/2025 binary64) (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/2025 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4/893025 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) #s(literal -1/2025 binary64))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal -1/45 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2025 binary64) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/2025 binary64) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (/.f64 #s(literal 1/2025 binary64) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (.f64 (/.f64 #s(literal 1/2025 binary64) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) (-.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2025 binary64) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (/.f64 #s(literal 1/2025 binary64) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))) (+.f64 (/.f64 #s(literal 1/2025 binary64) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/756680642578125 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/843908625 binary64)) (.f64 #s(literal 64/712181767349390625 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64)))))) (+.f64 #s(literal 1/8303765625 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/843908625 binary64)) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 8/843908625 binary64)) #s(literal 1/91125 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/8303765625 binary64) (.f64 #s(literal 64/712181767349390625 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64)))))) (+.f64 #s(literal 1/91125 binary64) (.f64 #s(literal -8/843908625 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (-.f64 #s(literal 1/8303765625 binary64) (.f64 #s(literal 64/712181767349390625 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (+.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) (+.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16/797493650625 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (+.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 4/893025 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/843908625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64))))))
(.f64 (+.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4/893025 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/843908625 binary64))) #s(literal -1/91125 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2025 binary64) (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64)))))))
(.f64 (+.f64 #s(literal -1/2025 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4/893025 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64))))) (+.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 8/843908625 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (+.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -4/893025 binary64))))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) #s(literal -1/2025 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal -1/45 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4/893025 binary64))) (+.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4/893025 binary64)))) (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/843908625 binary64))) (+.f64 #s(literal 1/8303765625 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64))))))) (+.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64))) #s(literal 1/2025 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1/91125 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/843908625 binary64))) (-.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64)))))) (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4/893025 binary64))) (+.f64 #s(literal 1/91125 binary64) (.f64 #s(literal -8/843908625 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64)))))

simplify350.0ms (2.1%)

Memory

23.3MiB live, 696.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 042×	`accelerator-lowering-fma.f32`
11 042×	`accelerator-lowering-fma.f64`
3 760×	`-lowering-.f32`
3 760×	`-lowering-.f64`
2 556×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	800
1	144	800
2	366	800
3	863	800
4	1768	800
5	4351	800
6	7788	800
0	8145	734

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

eval73.0ms (0.4%)

Memory: 10.4MiB live, 164.9MiB allocated
Compiler: Compiled 19 603 to 1 453 computations (92.6% saved)

prune53.0ms (0.3%)

Memory

-19.3MiB live, 139.3MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	575	3	578
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	575	6	581

Accuracy

100.0%

Counts

581 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) #s(literal -1/9 binary64)) x) (+.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64)))
▶	99.9%	(/.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 x (+.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
✓	99.4%	(.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))))))
✓	99.3%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
✓	98.7%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 84 to 57 computations (32.1% saved)

simplify46.0ms (0.3%)

Memory

-14.0MiB live, 64.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

648×	`-lowering-.f32`
648×	`-lowering-.f64`
504×	`accelerator-lowering-fma.f32`
504×	`accelerator-lowering-fma.f64`
412×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	211
1	66	185
2	147	185
3	240	173
4	314	173
5	478	173
6	506	173
7	514	173
8	664	173
9	693	173
10	696	173
11	702	173
12	726	173
13	726	173
14	804	173
15	848	173
0	848	160

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize102.0ms (0.6%)

Memory

25.7MiB live, 180.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal 1/45 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/45 binary64))
✓	accuracy	99.5%	(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) #s(literal -1/9 binary64)) x) (+.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64)))
✓	accuracy	99.4%	(.f64 (+.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/2025 binary64)))) #s(literal -1/9 binary64)) x)
✓	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	100.0%	(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal 1/45 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/45 binary64))
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal 1/45 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/45 binary64))
✓	accuracy	99.6%	(.f64 (.f64 x x) #s(literal 2/945 binary64))
✓	accuracy	99.4%	(.f64 x (+.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))

Samples

58.0ms

256×

valid

Compiler

Compiled 213 to 29 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

const: 16.0ms (36.8% of total)

ival-mult: 15.0ms (34.5% of total)

ival-div: 7.0ms (16.1% of total)

ival-add: 5.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (+ (+ 1/3 (* x (* x (* (* x x) 2/945)))) (* x (* x 1/45)))>
#<alt (* x (+ (+ 1/3 (* x (* x (* (* x x) 2/945)))) (* x (* x 1/45))))>
#<alt (+ 1/3 (* x (* x (* (* x x) 2/945))))>
#<alt (* x (* x (* (* 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 (* x (* (* x x) 1/2025))) -1/9) x) (+ (* x (* x 1/45)) -1/3))>
#<alt (* (+ (* x (* x (* (* x x) 1/2025))) -1/9) x)>
#<alt (+ (* x (* x (* (* x x) 1/2025))) -1/9)>
#<alt (* x (* x (* (* x x) 1/2025)))>
#<alt (* (* x x) 2/945)>
#<alt (* 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 (* 2/945 (pow x 4)))>
#<alt (+ 1/3 (* 2/945 (pow x 4)))>
#<alt (+ 1/3 (* 2/945 (pow x 4)))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* 2/945 (pow x 4))>
#<alt (* 2/945 (pow x 4))>
#<alt (* 2/945 (pow x 4))>
#<alt (* 2/945 (pow x 4))>
#<alt (* 2/945 (pow x 4))>
#<alt (* 2/945 (pow x 4))>
#<alt (* 2/945 (pow x 4))>
#<alt (* 2/945 (pow x 4))>
#<alt (* 2/945 (pow x 4))>
#<alt (* 2/945 (pow x 4))>
#<alt (* 2/945 (pow x 4))>
#<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 (* 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 (- (* 1/2025 (pow x 4)) 1/9))>
#<alt (* x (- (* 1/2025 (pow x 4)) 1/9))>
#<alt (* x (- (* 1/2025 (pow x 4)) 1/9))>
#<alt (* 1/2025 (pow x 5))>
#<alt (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* 1/2025 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))>
#<alt (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))>
#<alt (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))>
#<alt -1/9>
#<alt (- (* 1/2025 (pow x 4)) 1/9)>
#<alt (- (* 1/2025 (pow x 4)) 1/9)>
#<alt (- (* 1/2025 (pow x 4)) 1/9)>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (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 (* 1/2025 (pow x 4))>
#<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)>

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (* (+ (* x (* x (* (* x x) 1/2025))) -1/9) x) (+ (* x (* x 1/45)) -1/3))
1.0ms	x	@	0	(/ (* (+ (* x (* x (* (* x x) 1/2025))) -1/9) x) (+ (* x (* x 1/45)) -1/3))
0.0ms	x	@	inf	(* (+ (* x (* x (* (* x x) 1/2025))) -1/9) x)
0.0ms	x	@	0	(* x 1/45)
0.0ms	x	@	inf	(+ 1/3 (* x (* x (* (* x x) 2/945))))

rewrite785.0ms (4.7%)

Memory

-7.8MiB live, 799.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 424×	`accelerator-lowering-fma.f32`
12 424×	`accelerator-lowering-fma.f64`
5 572×	`-lowering-.f32`
5 572×	`-lowering-.f64`
3 426×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	140
1	150	118
2	1141	108
0	9178	97

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 918

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/945 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64)))))
(+.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x 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 x) (.f64 (.f64 x x) #s(literal 2/945 binary64))))
(+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))))))
(-.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) (-.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(-.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) #s(literal -1/3 binary64))
(-.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64))) (-.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/945 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -2/945 binary64))))) (-.f64 (/.f64 (.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -2/945 binary64))))) (.f64 x (.f64 x #s(literal 1/45 binary64)))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))))) (/.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (-.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (-.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 2/945 binary64))))))
(-.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/945 binary64))) (/.f64 #s(literal -1/9 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))
(-.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -2/945 binary64)))))) (/.f64 (.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -2/945 binary64))))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(fma.f64 x (.f64 x #s(literal 1/45 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(fma.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(fma.f64 x (+.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)))) #s(literal 1/3 binary64))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/945 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(fma.f64 (.f64 x x) #s(literal 1/45 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(fma.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64))) #s(literal 1/3 binary64))
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(.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8303765625 binary64))) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) #s(literal 1/9 binary64))))))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/4100625 binary64))) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/2025 binary64)))) #s(literal 1/9 binary64))))
(.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8303765625 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/4100625 binary64))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/18225 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/4100625 binary64))) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2025 binary64)) #s(literal -1/9 binary64))))
(.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/4100625 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/9 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2025 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/2025 binary64))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))
(.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) (.f64 x (*.f64 x #s(literal 1/45 binary64))))
(.f64 #s(literal 1/2025 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) x)
(.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/2025 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/45 binary64)))
(.f64 (.f64 x #s(literal 1/2025 binary64)) (.f64 x (.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2025 binary64)))
(.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (.f64 x x))
(.f64 (.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) (*.f64 x x)) #s(literal 1/45 binary64))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2025 binary64))
(.f64 (pow.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1 binary64)) (pow.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x (*.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 (*.f64 x x) #s(literal 2/945 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 2/945 binary64)) x)
(/.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 (.f64 x #s(literal 1/45 binary64)) #s(literal 1 binary64))

simplify410.0ms (2.5%)

Memory

-6.4MiB live, 495.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 638×	`accelerator-lowering-fma.f32`
7 638×	`accelerator-lowering-fma.f64`
3 568×	`-lowering-.f32`
3 568×	`-lowering-.f64`
1 782×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	1184
1	274	1184
2	657	1184
3	1521	1184
4	3422	1184
5	7031	1184
0	8088	1094

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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 (* 2/945 (pow x 4)))
(+ 1/3 (* 2/945 (pow x 4)))
(+ 1/3 (* 2/945 (pow x 4)))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))
(* 2/945 (pow x 4))
(* 2/945 (pow x 4))
(* 2/945 (pow x 4))
(* 2/945 (pow x 4))
(* 2/945 (pow x 4))
(* 2/945 (pow x 4))
(* 2/945 (pow x 4))
(* 2/945 (pow x 4))
(* 2/945 (pow x 4))
(* 2/945 (pow x 4))
(* 2/945 (pow x 4))
(* 2/945 (pow x 4))
(* 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 (* 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 (- (* 1/2025 (pow x 4)) 1/9))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(- (* 1/2025 (pow x 4)) 1/9)
(- (* 1/2025 (pow x 4)) 1/9)
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (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))
(* 1/2025 (pow x 4))
(* 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)

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 (.f64 x 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 (.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 #s(literal 2/945 binary64) (.f64 x (.f64 x x))))
(* (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))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(+.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)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(+.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)))))
(* 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 (.f64 x 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 (.f64 x 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 (.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)
(* 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 (* (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 (*.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 (.f64 x 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 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))) (.f64 x (*.f64 x x)))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (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) #s(literal 2/945 binary64))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (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) #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 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 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))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 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))))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 2/945 (pow x 4)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x)))))
(+ 1/3 (* 2/945 (pow x 4)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x)))))
(+ 1/3 (* 2/945 (pow x 4)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x)))))
(* 2/945 (pow x 4))
(.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x)))))
(* 2/945 (pow x 4))
(.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (+ 2/945 (* 1/3 (/ 1 (pow x 4)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x)))))
(* 2/945 (pow x 4))
(.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x))))
(* 2/945 (pow x 4))
(.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x))))
(* 2/945 (pow x 4))
(.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x))))
(* 2/945 (pow x 4))
(.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x))))
(* 2/945 (pow x 4))
(.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x))))
(* 2/945 (pow x 4))
(.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x))))
(* 2/945 (pow x 4))
(.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x))))
(* 2/945 (pow x 4))
(.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x))))
(* 2/945 (pow x 4))
(.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x))))
(* 2/945 (pow x 4))
(.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x))))
(* 2/945 (pow x 4))
(.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x x))))
(* 2/945 (pow x 4))
(.f64 x (.f64 #s(literal 2/945 binary64) (.f64 x (.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 #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))))
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 x (.f64 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 #s(literal 45 binary64) (/.f64 #s(literal -675 binary64) (.f64 x x))) (.f64 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 (+.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 #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 #s(literal 45 binary64) (/.f64 #s(literal -675 binary64) (.f64 x x))) (.f64 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 (+.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 #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 #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)))
(* 1/45 (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 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))))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)))))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)))))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)))))
(* 1/2025 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/2025 binary64)))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)))))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)))))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)))))
(* 1/2025 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/2025 binary64)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)))))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)))))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(.f64 x (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)))))
-1/9
#s(literal -1/9 binary64)
(- (* 1/2025 (pow x 4)) 1/9)
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(- (* 1/2025 (pow x 4)) 1/9)
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(- (* 1/2025 (pow x 4)) 1/9)
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64))))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 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 #s(literal 1/45 binary64) x)
(* 1/45 x)
(*.f64 #s(literal 1/45 binary64) x)
(* 1/45 x)
(*.f64 #s(literal 1/45 binary64) x)
(* 1/45 x)
(*.f64 #s(literal 1/45 binary64) x)
(* 1/45 x)
(*.f64 #s(literal 1/45 binary64) x)
(* 1/45 x)
(*.f64 #s(literal 1/45 binary64) x)
(* 1/45 x)
(*.f64 #s(literal 1/45 binary64) x)
(* 1/45 x)
(*.f64 #s(literal 1/45 binary64) x)
(* 1/45 x)
(*.f64 #s(literal 1/45 binary64) x)
(* 1/45 x)
(*.f64 #s(literal 1/45 binary64) x)
(* 1/45 x)
(*.f64 #s(literal 1/45 binary64) x)
(* 1/45 x)
(*.f64 #s(literal 1/45 binary64) x)

eval158.0ms (1%)

Memory: 8.3MiB live, 322.6MiB allocated
Compiler: Compiled 36 778 to 2 196 computations (94% saved)

prune109.0ms (0.7%)

Memory

10.5MiB live, 210.7MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 151	3	1 154
Fresh	0	0	0
Picked	2	1	3
Done	2	1	3
Total	1 155	5	1 160

Accuracy

100.0%

Counts

1 160 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (.f64 x #s(literal -1/9 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64)))
▶	99.9%	(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))))
▶	99.3%	(/.f64 x #s(literal 3 binary64))
✓	99.4%	(.f64 x (+.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
✓	99.4%	(.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))))))

Compiler

Compiled 62 to 42 computations (32.3% saved)

simplify5.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (.f64 x #s(literal 1/45 binary64)))
✓	cost-diff	(+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64))
✓	cost-diff	(*.f64 x #s(literal -1/9 binary64))
✓	cost-diff	(/.f64 (.f64 x #s(literal -1/9 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) #s(literal -1/5 binary64))
✓	cost-diff	(+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64)))
✓	cost-diff	(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))))
✓	cost-diff	(/.f64 x #s(literal 3 binary64))

Rules

38×	`-lowering-.f32`
38×	`-lowering-.f64`
16×	`*-commutative`
16×	`accelerator-lowering-fma.f32`
16×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	27	65
2	34	65
3	35	65
0	35	61

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x 3)
x
3
(/ x (+ 3 (* (* x x) -1/5)))
x
(+ 3 (* (* x x) -1/5))
3
(* (* x x) -1/5)
(* x x)
-1/5
(/ (* x -1/9) (+ (* x (* x 1/45)) -1/3))
(* x -1/9)
x
-1/9
(+ (* x (* x 1/45)) -1/3)
(* x (* x 1/45))
(* x 1/45)
1/45
-1/3

Outputs
(/ x 3)
(/.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(/ x (+ 3 (* (* x x) -1/5)))
(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64)))))
x
(+ 3 (* (* x x) -1/5))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64))))
3
#s(literal 3 binary64)
(* (* x x) -1/5)
(.f64 x (.f64 x #s(literal -1/5 binary64)))
(* x x)
(*.f64 x x)
-1/5
#s(literal -1/5 binary64)
(/ (* x -1/9) (+ (* x (* x 1/45)) -1/3))
(/.f64 (.f64 x #s(literal -1/9 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64)))
(* x -1/9)
(*.f64 x #s(literal -1/9 binary64))
x
-1/9
#s(literal -1/9 binary64)
(+ (* x (* x 1/45)) -1/3)
(+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #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)
-1/3
#s(literal -1/3 binary64)

localize177.0ms (1.1%)

Memory

-12.7MiB live, 63.1MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal 1/45 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/45 binary64))
✓	accuracy	99.5%	(/.f64 (.f64 x #s(literal -1/9 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal -1/9 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/5 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal 3 binary64))

Samples

104.0ms

256×

valid

Compiler

Compiled 67 to 18 computations (73.1% saved)

Precisions

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

ival-mult: 76.0ms (80.3% of total)

const: 11.0ms (11.6% of total)

ival-div: 5.0ms (5.3% of total)

ival-add: 2.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (/ x 3)>
#<alt (/ x (+ 3 (* (* x x) -1/5)))>
#<alt (+ 3 (* (* x x) -1/5))>
#<alt (* (* x x) -1/5)>
#<alt (* x x)>
#<alt (/ (* x -1/9) (+ (* x (* x 1/45)) -1/3))>
#<alt (* x -1/9)>
#<alt (+ (* x (* x 1/45)) -1/3)>
#<alt (* x (* x 1/45))>
#<alt (* x 1/45)>

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 (* 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 3>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (* -1/5 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* -1/5 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* -1/5 (pow x 2))>
#<alt (* -1/5 (pow x 2))>
#<alt (* -1/5 (pow x 2))>
#<alt (* -1/5 (pow x 2))>
#<alt (* -1/5 (pow x 2))>
#<alt (* -1/5 (pow x 2))>
#<alt (* -1/5 (pow x 2))>
#<alt (* -1/5 (pow x 2))>
#<alt (* -1/5 (pow x 2))>
#<alt (* -1/5 (pow x 2))>
#<alt (* -1/5 (pow x 2))>
#<alt (* -1/5 (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 (* (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 (- (* 1/45 (pow x 2)) 1/3)>
#<alt (- (* 1/45 (pow x 2)) 1/3)>
#<alt (- (* 1/45 (pow x 2)) 1/3)>
#<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 (* 1/45 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

30 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ x (+ 3 (* (* x x) -1/5)))
0.0ms	x	@	inf	(* (* x x) -1/5)
0.0ms	x	@	inf	(* x -1/9)
0.0ms	x	@	0	(/ x (+ 3 (* (* x x) -1/5)))
0.0ms	x	@	-inf	(* x -1/9)

rewrite594.0ms (3.6%)

Memory

11.8MiB live, 564.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 466×	`-lowering-.f32`
5 466×	`-lowering-.f64`
4 568×	`accelerator-lowering-fma.f32`
4 568×	`accelerator-lowering-fma.f64`
2 872×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	56
1	80	56
2	499	56
3	4436	56
0	8580	52

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 434

Calls

Call 1

Inputs
(/ x 3)
(/ x (+ 3 (* (* x x) -1/5)))
(+ 3 (* (* x x) -1/5))
(* (* x x) -1/5)
(* x x)
(/ (* x -1/9) (+ (* x (* x 1/45)) -1/3))
(* x -1/9)
(+ (* x (* x 1/45)) -1/3)
(* x (* x 1/45))
(* x 1/45)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -3 binary64)))
(neg.f64 (/.f64 x #s(literal -3 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)))
(/.f64 x #s(literal 3 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -3 binary64))
(pow.f64 (/.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 3 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 (/.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/3 binary64))
(+.f64 (.f64 (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))) #s(literal 9 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)))))
(+.f64 (.f64 (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)))) (.f64 (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))) #s(literal 9 binary64)))
(+.f64 (.f64 (/.f64 x (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64)))))) #s(literal 3 binary64)) (.f64 (/.f64 x (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64)))))) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(+.f64 (.f64 #s(literal 9 binary64) (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)))))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64))) (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)))))))
(+.f64 (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64))) (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)))))) (.f64 #s(literal 9 binary64) (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)))))))
(+.f64 (.f64 #s(literal 3 binary64) (/.f64 x (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))))))) (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (/.f64 x (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))))))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal -1/5 binary64))) x)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal -1/5 binary64)))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal -1/5 binary64)))) #s(literal -1 binary64)) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64)))) (/.f64 x (-.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64)))))
(fma.f64 #s(literal 3 binary64) (/.f64 x (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64)))))) (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (/.f64 x (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/25 binary64))))))))
(fma.f64 #s(literal 9 binary64) (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64))) (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/125 binary64)))))))
(fma.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64))) (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))) (.f64 #s(literal 9 binary64) (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/125 binary64)))))))
(fma.f64 (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))) #s(literal 9 binary64) (.f64 (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)))))
(fma.f64 (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64))) (.f64 (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/125 binary64))))) #s(literal 9 binary64)))
(fma.f64 (/.f64 x (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64)))))) #s(literal 3 binary64) (.f64 (/.f64 x (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64)))))) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))
(neg.f64 (/.f64 x (-.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64)))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (.f64 (*.f64 x x) #s(literal -1/5 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))) x)))
(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))) x))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64))))))
(/.f64 (/.f64 x (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64))))) (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/125 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64)))) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/25 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 729 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64))))))) (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64))) #s(literal 9 binary64))))))
(/.f64 (.f64 x (-.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)))))) (.f64 (+.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)))) (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64))))))
(/.f64 (.f64 x (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64)))))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))))) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 27 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/125 binary64)))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))))) (+.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64))))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal -3 binary64) (.f64 (*.f64 x x) #s(literal -1/5 binary64))))
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(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)) (/.f64 (+.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) (.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) #s(literal -1/9 binary64))) (.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (+.f64 (.f64 (*.f64 x x) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64))) (.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) #s(literal 1/9 binary64))) (.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x (.f64 (.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 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (/.f64 (+.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (+.f64 (.f64 (.f64 x x) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 (.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 (.f64 (.f64 x x) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) (/.f64 (+.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (+.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 x (.f64 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 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(pow.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 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))))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 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))))) #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 -1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (*.f64 x x) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))
(.f64 (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (*.f64 x x) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/91125 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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)))))))
(.f64 (+.f64 (neg.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 x x) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))
(.f64 (/.f64 #s(literal 1 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))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/91125 binary64))) #s(literal -1/27 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/2025 binary64))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 (.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 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) #s(literal -1/27 binary64)) (+.f64 (.f64 #s(literal 1/8303765625 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -1/135 binary64))) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -1/135 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -1/135 binary64))))))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/4100625 binary64)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -1/135 binary64))) (-.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -1/135 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) #s(literal -1/27 binary64)) (.f64 (+.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)))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -1/135 binary64)))))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -1/135 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) #s(literal 1/27 binary64))) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal -1/135 binary64)))))
(exp.f64 (log.f64 (.f64 x (.f64 x #s(literal 1/45 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64)))) #s(literal 1 binary64)))
(pow.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(.f64 x (exp.f64 (log.f64 (.f64 x #s(literal 1/45 binary64)))))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 1/45 binary64))))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/45 binary64)) x)
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 1/45 binary64)))) x)
(.f64 (exp.f64 (log.f64 #s(literal 1/45 binary64))) (.f64 x x))
(*.f64 x #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) x)

simplify400.0ms (2.4%)

Memory

2.1MiB live, 525.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 044×	`accelerator-lowering-fma.f32`
11 044×	`accelerator-lowering-fma.f64`
2 768×	`-lowering-.f32`
2 768×	`-lowering-.f64`
2 022×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	712
1	203	712
2	507	700
3	1202	700
4	2379	700
5	4387	700
0	8226	670

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

eval66.0ms (0.4%)

Memory: -11.4MiB live, 139.6MiB allocated
Compiler: Compiled 13 575 to 1 331 computations (90.2% saved)

prune68.0ms (0.4%)

Memory

17.9MiB live, 149.0MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	552	2	554
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	552	7	559

Accuracy

100.0%

Counts

559 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (.f64 x #s(literal -1/9 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64)))
	98.9%	(/.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal -1/3 binary64))
	99.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))))))
✓	99.9%	(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))))
✓	99.3%	(/.f64 x #s(literal 3 binary64))
✓	99.4%	(.f64 x (+.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64))))) (.f64 x (*.f64 x #s(literal 1/45 binary64)))))
✓	99.4%	(.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))))))

Compiler

Compiled 210 to 108 computations (48.6% saved)

regimes32.0ms (0.2%)

Memory

-24.3MiB live, 14.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	x
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	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)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) x)
(/.f64 x #s(literal 3 binary64))
(/.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal -1/3 binary64))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(/.f64 x (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -1/5 binary64))))
(/.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 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

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
98.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	20	28

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.4s (14.1%)

Memory

-25.1MiB live, 2 421.4MiB allocated

Rules

18 970×	`accelerator-lowering-fma.f32`
18 970×	`accelerator-lowering-fma.f64`
8 164×	`accelerator-lowering-fma.f32`
8 164×	`accelerator-lowering-fma.f64`
7 638×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	1184
1	274	1184
2	657	1184
3	1521	1184
4	3422	1184
5	7031	1184
0	8088	1094
0	16	56
1	80	56
2	499	56
3	4436	56
0	8580	52
0	14	78
1	85	78
2	670	78
3	6993	78
0	8020	70
0	67	324
1	179	324
2	458	318
3	1321	318
4	2085	318
5	3083	318
6	3670	318
7	3941	318
8	5080	318
9	7268	318
0	8431	300

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 137 to 92 computations (32.8% saved)

preprocess49.0ms (0.3%)

Memory: -3.2MiB live, 119.9MiB allocated
Remove: (negabs x)
Compiler: Compiled 182 to 114 computations (37.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	26
1	25	24
2	60	24
3	143	24
4	208	24
5	230	24
6	232	24
0	6	8
1	10	8
2	18	8
3	27	8
4	39	8
5	59	8
6	98	8
7	129	8
8	187	8
9	226	8
10	248	8
0	248	8

Iter	Nodes	Cost
0	6	19
1	10	19
2	18	19
3	27	19
4	39	19
5	59	19
6	98	19
7	129	19
8	187	19
9	226	19
10	248	19
0	248	19

Iter	Nodes	Cost
0	27	211
1	66	185
2	147	185
3	240	173
4	314	173
5	478	173
6	506	173
7	514	173
8	664	173
9	693	173
10	696	173
11	702	173
12	726	173
13	726	173
14	804	173
15	848	173
0	848	160

Iter	Nodes	Cost
0	12	26
1	25	24
2	60	24
3	143	24
4	208	24
5	230	24
6	232	24
0	6	8
1	10	8
2	18	8
3	27	8
4	39	8
5	59	8
6	98	8
7	129	8
8	187	8
9	226	8
10	248	8
0	248	8

Iter	Nodes	Cost
0	6	19
1	10	19
2	18	19
3	27	19
4	39	19
5	59	19
6	98	19
7	129	19
8	187	19
9	226	19
10	248	19
0	248	19

Iter	Nodes	Cost
0	27	211
1	66	185
2	147	185
3	240	173
4	314	173
5	478	173
6	506	173
7	514	173
8	664	173
9	693	173
10	696	173
11	702	173
12	726	173
13	726	173
14	804	173
15	848	173
0	848	160

analyze7.0ms (0%)

sample8.3s (50.2%)

preprocess24.0ms (0.1%)

explain680.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize352.0ms (2.1%)

series4.0ms (0%)

rewrite230.0ms (1.4%)

simplify554.0ms (3.3%)

eval40.0ms (0.2%)

prune39.0ms (0.2%)

simplify12.0ms (0.1%)

localize52.0ms (0.3%)

series10.0ms (0.1%)

rewrite408.0ms (2.5%)

simplify350.0ms (2.1%)

eval73.0ms (0.4%)

prune53.0ms (0.3%)

simplify46.0ms (0.3%)

localize102.0ms (0.6%)

series7.0ms (0%)

rewrite785.0ms (4.7%)

simplify410.0ms (2.5%)

eval158.0ms (1%)

prune109.0ms (0.7%)

simplify5.0ms (0%)

localize177.0ms (1.1%)

series4.0ms (0%)

rewrite594.0ms (3.6%)

simplify400.0ms (2.4%)

eval66.0ms (0.4%)

prune68.0ms (0.4%)

regimes32.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify7.0ms (0%)

soundness2.4s (14.1%)

preprocess49.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	26
1	25	24
2	60	24
3	143	24
4	208	24
5	230	24
6	232	24
0	6	8
1	10	8
2	18	8
3	27	8
4	39	8
5	59	8
6	98	8
7	129	8
8	187	8
9	226	8
10	248	8
0	248	8

Iter	Nodes	Cost
0	6	19
1	10	19
2	18	19
3	27	19
4	39	19
5	59	19
6	98	19
7	129	19
8	187	19
9	226	19
10	248	19
0	248	19

Iter	Nodes	Cost
0	27	211
1	66	185
2	147	185
3	240	173
4	314	173
5	478	173
6	506	173
7	514	173
8	664	173
9	693	173
10	696	173
11	702	173
12	726	173
13	726	173
14	804	173
15	848	173
0	848	160