Metrics for invcot (example 3.9)

analyze5.0ms (0%)

Memory

7.5MiB live, 7.5MiB 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)

sample9.8s (60.8%)

Memory

-7.8MiB live, 9 303.4MiB allocated

Samples

7.4s	3 809×	2	valid
1.8s	4 356×	1	valid
8.0ms	91×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.8s

ival-tan: 7.2s (81.9% of total)

ival-div: 682.0ms (7.7% of total)

adjust: 411.0ms (4.6% of total)

const: 243.0ms (2.7% of total)

ival-sub: 126.0ms (1.4% of total)

ival-<: 114.0ms (1.3% of total)

exact: 14.0ms (0.2% of total)

ival-and: 12.0ms (0.1% of total)

ival-assert: 3.0ms (0% of total)

Bogosity

preprocess32.0ms (0.2%)

Memory

-30.5MiB live, 51.4MiB allocated

Algorithm

1×	egg-herbie

Rules

112×	`lower-fma.f64`
112×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
48×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	21	19
2	54	16
3	131	16
4	204	16
5	228	16
6	230	16
0	6	8
0	10	8
1	14	8
2	22	8
3	31	8
4	43	8
5	63	8
6	102	8
7	134	8
8	192	8
9	225	8
10	247	8
0	247	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

explain534.0ms (3.3%)

Memory

18.3MiB live, 843.2MiB 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

407.0ms	254×	2	valid
71.0ms	250×	1	valid
0.0ms	8×	0	valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 456.0ms

ival-tan: 405.0ms (88.9% of total)

adjust: 24.0ms (5.3% of total)

ival-div: 20.0ms (4.4% of total)

ival-sub: 6.0ms (1.3% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.6%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify11.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB 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×	`lower-fma.f64`
112×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
48×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	14	19
2	22	19
3	31	19
4	43	19
5	63	19
6	102	19
7	134	19
8	192	19
9	225	19
10	247	19
0	247	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize235.0ms (1.5%)

Memory

-10.1MiB live, 461.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	6.6%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Samples

195.0ms	127×	2	valid
29.0ms	125×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-tan: 187.0ms (90.4% of total)

ival-div: 11.0ms (5.3% of total)

adjust: 5.0ms (2.4% of total)

ival-sub: 3.0ms (1.4% 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

10.0MiB live, 10.0MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) (tan.f64 x))>
#<alt (tan.f64 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))

rewrite185.0ms (1.1%)

Memory

1.4MiB live, 404.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 072×	`lower-fma.f64`
3 072×	`lower-fma.f32`
2 002×	`lower-*.f64`
2 002×	`lower-*.f32`
1 374×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	49	17
2	454	17
3	5706	17
0	9203	17

Stop Event

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

Counts

4 → 277

Calls

Call 1

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

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

simplify493.0ms (3.1%)

Memory

-1.7MiB live, 544.1MiB allocated

Algorithm

1×	egg-herbie

Rules

18 970×	`lower-fma.f64`
18 970×	`lower-fma.f32`
3 656×	`lower-*.f64`
3 656×	`lower-*.f32`
3 436×	`lower-+.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 → 47

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

eval92.0ms (0.6%)

Memory: -11.5MiB live, 82.0MiB allocated
Compiler: Compiled 5 981 to 755 computations (87.4% saved)

prune42.0ms (0.3%)

Memory

23.4MiB live, 61.7MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	320	4	324
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	321	4	325

Accuracy

99.4%

Counts

325 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
▶	99.3%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
▶	99.2%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
▶	98.8%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 46 to 29 computations (37% saved)

simplify31.0ms (0.2%)

Memory

-8.8MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

1 312×	`lower-fma.f32`
1 300×	`lower-fma.f64`
402×	`lower-*.f32`
386×	`lower-*.f64`
256×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	127
0	39	127
1	99	127
2	247	127
3	501	127
4	720	127
5	780	127
6	784	127
0	784	127

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(*.f64 x #s(literal 2/945 binary64))
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(*.f64 x x)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64))
(*.f64 x #s(literal 1/4725 binary64))
#s(literal 1/4725 binary64)
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)

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

localize92.0ms (0.6%)

Memory

-18.5MiB live, 99.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/4725 binary64))
✓	accuracy	99.4%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.4%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	99.2%	(*.f64 x #s(literal 2/945 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/45 binary64))
✓	accuracy	99.4%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) x)

Samples

56.0ms

256×

valid

Compiler

Compiled 145 to 27 computations (81.4% saved)

Precisions

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

const: 19.0ms (44% of total)

ival-mult: 18.0ms (41.7% of total)

ival-add: 6.0ms (13.9% of total)

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

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

series11.0ms (0.1%)

Memory

25.4MiB live, 25.4MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))>
#<alt (*.f64 x #s(literal 1/45 binary64))>
#<alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))>
#<alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))>
#<alt (*.f64 x x)>
#<alt (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))>
#<alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))>
#<alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))>
#<alt (*.f64 x #s(literal 2/945 binary64))>
#<alt (*.f64 x #s(literal 1/4725 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64))>

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

Calls

42 calls:

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

rewrite361.0ms (2.2%)

Memory

7.9MiB live, 670.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 286×	`lower-fma.f32`
8 274×	`lower-fma.f64`
5 166×	`lower-*.f32`
5 150×	`lower-*.f64`
4 182×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	110
0	39	110
1	174	110
2	1314	110
0	8462	110

Stop Event

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

Counts

14 → 435

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/45 binary64))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(*.f64 x #s(literal 2/945 binary64))
(*.f64 x #s(literal 1/4725 binary64))
(fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64))

Outputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x)) (.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64))) (.f64 #s(literal -1/3 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64))) (.f64 #s(literal -1/3 binary64) x))))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (.f64 x #s(literal 1/45 binary64)) (*.f64 x x)))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal 1/45 binary64)) (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64))) (*.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 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 (.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x)) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x)) (.f64 #s(literal 1/3 binary64) x)))) (fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64))) (.f64 #s(literal -1/3 binary64) x)) (.f64 (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64))) (*.f64 #s(literal -1/3 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64))) (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (*.f64 x x))) #s(literal 1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)) (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (*.f64 x x))) #s(literal 1/27 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) x)))
(/.f64 (.f64 (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64))) (.f64 #s(literal -1/3 binary64) x))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64))) (*.f64 #s(literal -1/3 binary64) x)))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))) #s(literal 1/27 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))) #s(literal 1/27 binary64)) x) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/22325625 binary64)) #s(literal -4/893025 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/893025 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/22325625 binary64))))) (neg.f64 (+.f64 #s(literal 2/945 binary64) (.f64 #s(literal -1/4725 binary64) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/22325625 binary64))) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4/893025 binary64) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/22325625 binary64))) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/22325625 binary64))) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64))) (fma.f64 (/.f64 #s(literal 4/893025 binary64) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64))) (/.f64 #s(literal 4/893025 binary64) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/22325625 binary64))) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64))) (/.f64 #s(literal 4/893025 binary64) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/22325625 binary64))) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/22325625 binary64))) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64)))) (.f64 (/.f64 #s(literal 4/893025 binary64) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64))) (/.f64 #s(literal 4/893025 binary64) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/22325625 binary64))) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64))) (/.f64 #s(literal 4/893025 binary64) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/105488578125 binary64)) #s(literal 8/843908625 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/22325625 binary64)) #s(literal 4/893025 binary64)) (.f64 (*.f64 x x) #s(literal 2/4465125 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/105488578125 binary64)) #s(literal 8/843908625 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/893025 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/22325625 binary64))) (.f64 (.f64 x x) #s(literal 2/4465125 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/22325625 binary64)) #s(literal -4/893025 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/105488578125 binary64)) #s(literal 8/843908625 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/22325625 binary64)) #s(literal 4/893025 binary64)) (.f64 (*.f64 x x) #s(literal 2/4465125 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/22325625 binary64)) #s(literal -4/893025 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal -2/945 binary64)))))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)))
(.f64 (-.f64 #s(literal 4/893025 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/22325625 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/945 binary64) (.f64 #s(literal -1/4725 binary64) (*.f64 x x)))))

simplify359.0ms (2.2%)

Memory

12.3MiB live, 607.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 486×	`lower-fma.f64`
14 486×	`lower-fma.f32`
4 500×	`lower-*.f64`
4 500×	`lower-*.f32`
2 872×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1184
1	311	1184
2	824	1180
3	2133	1178
4	4703	1178
0	8187	1079

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

eval214.0ms (1.3%)

Memory: 12.1MiB live, 165.4MiB allocated
Compiler: Compiled 22 608 to 1 749 computations (92.3% saved)

prune56.0ms (0.3%)

Memory

-26.3MiB live, 133.7MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	636	3	639
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	636	7	643

Accuracy

100.0%

Counts

643 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x))))
▶	99.4%	(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
▶	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
✓	99.4%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	99.3%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	99.2%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	98.8%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 109 to 65 computations (40.4% saved)

simplify211.0ms (1.3%)

Memory

-5.6MiB live, 233.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/9 binary64))
✓	cost-diff	448	(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x)))
✓	cost-diff	640	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x))))
✓	cost-diff	768	(-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) x)
✓	cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
✓	cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))

Rules

5 060×	`lower-fma.f32`
5 054×	`lower-fma.f64`
3 524×	`lower-*.f32`
3 506×	`lower-*.f64`
1 912×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	208
0	46	192
1	97	188
2	238	172
3	732	158
4	2609	158
5	4101	158
6	6075	158
0	8140	152

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(*.f64 x x)
x
(.f64 (.f64 x x) #s(literal 1/2025 binary64))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(*.f64 x #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
#s(literal -1/3 binary64)
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(.f64 (.f64 x x) (.f64 (.f64 x 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 x) #s(literal 1/2025 binary64))
#s(literal 1/2025 binary64)
(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x)))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(.f64 (.f64 x #s(literal 1/45 binary64)) (*.f64 x x))
(*.f64 x #s(literal 1/45 binary64))
#s(literal 1/45 binary64)

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

localize101.0ms (0.6%)

Memory

38.4MiB live, 156.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/9 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/45 binary64))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) x)
✓	accuracy	49.6%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/2025 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/45 binary64))
✓	accuracy	99.4%	(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) x)
✓	accuracy	99.4%	(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))

Samples

62.0ms

256×

valid

Compiler

Compiled 218 to 30 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 19.0ms (40.6% of total)

const: 16.0ms (34.2% of total)

ival-div: 6.0ms (12.8% of total)

ival-add: 3.0ms (6.4% of total)

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

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

-23.8MiB live, 14.1MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))>
#<alt (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))>
#<alt (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) x)>
#<alt (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))>
#<alt (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))))>
#<alt (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x))))>
#<alt (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x)))>
#<alt (.f64 (.f64 x x) #s(literal 1/9 binary64))>
#<alt (*.f64 x #s(literal 1/45 binary64))>
#<alt (.f64 (.f64 x x) #s(literal 1/2025 binary64))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>

Outputs
#<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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/9 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 (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))>
#<alt (* -1/2025 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* -1/2025 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/3 x)>
#<alt (* 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) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* -1/45 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ (* (+ (* (* x x) (* (* x x) 1/2025)) -1/9) x) (+ (* x (* x 1/45)) -1/3))
1.0ms	x	@	inf	(/ (* (+ (* (* x x) (* (* x x) 1/2025)) -1/9) x) (+ (* x (* x 1/45)) -1/3))
1.0ms	x	@	inf	(/ (- (* (* x x) 1/9) (* (* x x) (* (* x x) (* (* x x) 1/2025)))) (- (* 1/3 x) (* (* x 1/45) (* x x))))
0.0ms	x	@	0	(/ (- (* (* x x) 1/9) (* (* x x) (* (* x x) (* (* x x) 1/2025)))) (- (* 1/3 x) (* (* x 1/45) (* x x))))
0.0ms	x	@	inf	(- (* (* x x) 1/9) (* (* x x) (* (* x x) (* (* x x) 1/2025))))

rewrite483.0ms (3%)

Memory

6.3MiB live, 632.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 622×	`lower-fma.f32`
11 616×	`lower-fma.f64`
4 718×	`lower-*.f32`
4 700×	`lower-*.f64`
3 136×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	145
0	46	111
1	198	93
2	1411	93
0	8369	89

Stop Event

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

Counts

14 → 1 368

Calls

Call 1

Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x))))
(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(*.f64 x #s(literal 1/45 binary64))
(.f64 (.f64 x x) #s(literal 1/2025 binary64))
(*.f64 #s(literal 1/3 binary64) x)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))) #s(literal -1 binary64)))
(+.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x #s(literal 1/3 binary64)))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 (neg.f64 x) #s(literal -1/3 binary64)))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 #s(literal -1/3 binary64) (neg.f64 x)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)))))
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(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) (.f64 (.f64 x (neg.f64 x)) x) (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (/.f64 (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (.f64 (/.f64 (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (*.f64 x x) #s(literal 1/9 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 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 (.f64 x (.f64 x x)) #s(literal -1/45 binary64)) (.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (/.f64 (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64))))) (.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))))) (+.f64 (/.f64 (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))))
(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))
(.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/45 binary64)))))))
(.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (*.f64 x x) #s(literal 1/9 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/3 binary64))))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(.f64 #s(literal 1/9 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(.f64 (.f64 x #s(literal 1/9 binary64)) x)
(.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/3 binary64))
(.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) x)
(.f64 (pow.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) x)
(/.f64 (*.f64 x #s(literal 1/2025 binary64)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 x #s(literal 1/45 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(.f64 (.f64 x x) #s(literal 1/2025 binary64))
(.f64 #s(literal 1/2025 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/45 binary64)))
(.f64 (.f64 x #s(literal 1/2025 binary64)) x)
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)

simplify259.0ms (1.6%)

Memory

24.2MiB live, 291.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 906×	`lower-fma.f64`
4 906×	`lower-fma.f32`
2 940×	`lower-*.f64`
2 940×	`lower-*.f32`
2 716×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1124
1	229	1124
2	560	1124
3	1363	1124
4	3575	1124
5	6683	1124
0	8277	1052

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* 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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* -1/9 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)))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))
(* -1/2025 (pow x 6))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* -1/2025 (pow x 6))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/3 x)
(* 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) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* -1/45 (pow x 3))
(* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/75 binary64) #s(literal -1/5 binary64)) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/1125 binary64) #s(literal 1/75 binary64)) #s(literal -1/5 binary64)) #s(literal 3 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 #s(literal 45 binary64) (+.f64 (/.f64 #s(literal 10125 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -675 binary64) (.f64 x x)) (/.f64 #s(literal -151875 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.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 #s(literal 45 binary64) (+.f64 (/.f64 #s(literal 10125 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -675 binary64) (.f64 x x)) (/.f64 #s(literal -151875 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #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)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #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)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 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 (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
(* 1/2025 (pow x 5))
(.f64 x (.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 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* 1/2025 (pow x 5))
(.f64 x (.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 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
-1/9
#s(literal -1/9 binary64)
(- (* 1/2025 (pow x 4)) 1/9)
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(- (* 1/2025 (pow x 4)) 1/9)
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(- (* 1/2025 (pow x 4)) 1/9)
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 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)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 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)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64))))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64))))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64))))
(* -1/2025 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/2025 binary64)))))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64))))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64))))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64))))
(* -1/2025 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/2025 binary64)))))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64))))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64))))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64))))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* -1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* -1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* -1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(* -1/45 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/45 binary64))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(* -1/45 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/45 binary64))
(* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 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)

eval221.0ms (1.4%)

Memory: 10.6MiB live, 398.1MiB allocated
Compiler: Compiled 64 645 to 2 292 computations (96.5% saved)

prune352.0ms (2.2%)

Memory

-41.6MiB live, 244.8MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 707	3	1 710
Fresh	0	0	0
Picked	3	0	3
Done	0	4	4
Total	1 710	7	1 717

Accuracy

100.0%

Counts

1 717 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x))))
▶	99.9%	(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
▶	99.4%	(/.f64 x #s(literal 3 binary64))
✓	99.4%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	99.3%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	99.2%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	98.8%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 77 to 50 computations (35.1% saved)

simplify343.0ms (2.1%)

Memory

27.2MiB live, 456.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 1/9 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/9 binary64)))
✓	cost-diff	448	(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x)))
✓	cost-diff	640	(/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x))))
✓	cost-diff	0	(*.f64 x #s(literal -1/5 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
✓	cost-diff	384	(/.f64 x #s(literal 3 binary64))

Rules

15 804×	`lower-fma.f32`
15 802×	`lower-fma.f64`
4 092×	`lower-*.f32`
4 078×	`lower-*.f64`
2 022×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	81
0	31	81
1	52	77
2	104	75
3	194	71
4	322	71
5	501	71
6	1535	71
7	4015	71
8	7442	71
0	8085	69

Stop Event

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

Calls

Call 1

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

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

localize64.0ms (0.4%)

Memory

-26.5MiB live, 90.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 x #s(literal 1/45 binary64))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/9 binary64))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) x)
✓	accuracy	49.6%	(/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x))))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal -1/5 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal 3 binary64))

Samples

42.0ms

256×

valid

Compiler

Compiled 85 to 21 computations (75.3% saved)

Precisions

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

ival-mult: 12.0ms (40.1% of total)

const: 11.0ms (36.7% of total)

ival-div: 5.0ms (16.7% of total)

ival-sub: 1.0ms (3.3% of total)

ival-add: 1.0ms (3.3% 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

8.8MiB live, 8.8MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (/.f64 x #s(literal 3 binary64))>
#<alt (/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))>
#<alt (*.f64 x #s(literal -1/5 binary64))>
#<alt (/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x))))>
#<alt (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x)))>
#<alt (.f64 x (.f64 x #s(literal 1/9 binary64)))>
#<alt (*.f64 x #s(literal 1/9 binary64))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 x #s(literal 1/45 binary64))>

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 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 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 (* 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) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* -1/45 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<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 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/45 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
3.0ms	x	@	0	(/ x (+ (* x (* x -1/5)) 3))
0.0ms	x	@	inf	(/ x (+ (* x (* x -1/5)) 3))
0.0ms	x	@	-inf	(* x -1/5)
0.0ms	x	@	-inf	(* x 1/9)
0.0ms	x	@	inf	(* x -1/5)

rewrite328.0ms (2%)

Memory

8.1MiB live, 360.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 538×	`lower-fma.f32`
7 536×	`lower-fma.f64`
5 886×	`lower-*.f32`
5 872×	`lower-*.f64`
3 854×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	62
0	31	62
1	101	58
2	677	58
0	8619	56

Stop Event

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

Counts

10 → 558

Calls

Call 1

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

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

simplify279.0ms (1.7%)

Memory

16.3MiB live, 400.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 100×	`lower-fma.f64`
10 100×	`lower-fma.f32`
3 322×	`lower-*.f64`
3 322×	`lower-*.f32`
1 994×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	708
1	232	708
2	586	698
3	1459	696
4	3270	696
5	7145	696
0	8241	666

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

eval121.0ms (0.8%)

Memory: -20.4MiB live, 111.8MiB allocated
Compiler: Compiled 19 446 to 1 527 computations (92.1% saved)

prune68.0ms (0.4%)

Memory

10.2MiB live, 130.7MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	677	1	678
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	678	7	685

Accuracy

100.0%

Counts

685 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.1%	(/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (*.f64 #s(literal 1/3 binary64) x))
✓	99.9%	(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
✓	99.4%	(/.f64 x #s(literal 3 binary64))
✓	99.4%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	99.3%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	99.2%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	98.8%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 217 to 98 computations (54.8% saved)

regimes7.0ms (0%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) x)
(/.f64 x #s(literal 3 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

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

Calls

2 calls:

4.0ms	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

6.6MiB live, 6.6MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB 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

2 calls:

1.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	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)

simplify7.0ms (0%)

Memory

-28.4MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	11	14

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness622.0ms (3.9%)

Memory

61.6MiB live, 476.8MiB allocated

Rules

18 970×	`lower-fma.f64`
18 970×	`lower-fma.f32`
8 286×	`lower-fma.f32`
8 274×	`lower-fma.f64`
5 166×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1124
1	229	1124
2	560	1124
3	1363	1124
4	3575	1124
5	6683	1124
0	8277	1052
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
0	19	110
0	39	110
1	174	110
2	1314	110
0	8462	110

Stop Event

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

Compiler

Compiled 92 to 57 computations (38% saved)

preprocess47.0ms (0.3%)

Memory: -5.2MiB live, 103.7MiB allocated
Remove: (negabs x)
Compiler: Compiled 134 to 88 computations (34.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	21
1	21	19
2	54	16
3	131	16
4	204	16
5	228	16
6	230	16
0	6	8
0	10	8
1	14	8
2	22	8
3	31	8
4	43	8
5	63	8
6	102	8
7	134	8
8	192	8
9	225	8
10	247	8
0	247	8

Iter	Nodes	Cost
0	6	19
0	10	19
1	14	19
2	22	19
3	31	19
4	43	19
5	63	19
6	102	19
7	134	19
8	192	19
9	225	19
10	247	19
0	247	19

Iter	Nodes	Cost
0	19	127
0	39	127
1	99	127
2	247	127
3	501	127
4	720	127
5	780	127
6	784	127
0	784	127

Iter	Nodes	Cost
0	8	21
1	21	19
2	54	16
3	131	16
4	204	16
5	228	16
6	230	16
0	6	8
0	10	8
1	14	8
2	22	8
3	31	8
4	43	8
5	63	8
6	102	8
7	134	8
8	192	8
9	225	8
10	247	8
0	247	8

Iter	Nodes	Cost
0	6	19
0	10	19
1	14	19
2	22	19
3	31	19
4	43	19
5	63	19
6	102	19
7	134	19
8	192	19
9	225	19
10	247	19
0	247	19

Iter	Nodes	Cost
0	19	127
0	39	127
1	99	127
2	247	127
3	501	127
4	720	127
5	780	127
6	784	127
0	784	127

analyze5.0ms (0%)

sample9.8s (60.8%)

preprocess32.0ms (0.2%)

explain534.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize235.0ms (1.5%)

series4.0ms (0%)

rewrite185.0ms (1.1%)

simplify493.0ms (3.1%)

eval92.0ms (0.6%)

prune42.0ms (0.3%)

simplify31.0ms (0.2%)

localize92.0ms (0.6%)

series11.0ms (0.1%)

rewrite361.0ms (2.2%)

simplify359.0ms (2.2%)

eval214.0ms (1.3%)

prune56.0ms (0.3%)

simplify211.0ms (1.3%)

localize101.0ms (0.6%)

series10.0ms (0.1%)

rewrite483.0ms (3%)

simplify259.0ms (1.6%)

eval221.0ms (1.4%)

prune352.0ms (2.2%)

simplify343.0ms (2.1%)

localize64.0ms (0.4%)

series7.0ms (0%)

rewrite328.0ms (2%)

simplify279.0ms (1.7%)

eval121.0ms (0.8%)

prune68.0ms (0.4%)

regimes7.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify7.0ms (0%)

soundness622.0ms (3.9%)

preprocess47.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	21
1	21	19
2	54	16
3	131	16
4	204	16
5	228	16
6	230	16
0	6	8
0	10	8
1	14	8
2	22	8
3	31	8
4	43	8
5	63	8
6	102	8
7	134	8
8	192	8
9	225	8
10	247	8
0	247	8

Iter	Nodes	Cost
0	6	19
0	10	19
1	14	19
2	22	19
3	31	19
4	43	19
5	63	19
6	102	19
7	134	19
8	192	19
9	225	19
10	247	19
0	247	19

Iter	Nodes	Cost
0	19	127
0	39	127
1	99	127
2	247	127
3	501	127
4	720	127
5	780	127
6	784	127
0	784	127