Metrics for invcot (example 3.9)

analyze5.0ms (0%)

Memory

6.8MiB live, 6.8MiB 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)

sample9.1s (59.3%)

Memory

7.5MiB live, 10 621.2MiB allocated

Samples

7.3s	3 928×	2	valid
1.4s	4 254×	1	valid
7.0ms	74×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.4s

ival-tan: 7.2s (85.6% of total)

ival-div: 481.0ms (5.7% of total)

const: 366.0ms (4.3% of total)

adjust: 182.0ms (2.2% of total)

ival-sub: 105.0ms (1.2% of total)

ival-<: 53.0ms (0.6% of total)

exact: 13.0ms (0.2% of total)

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

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

Bogosity

preprocess25.0ms (0.2%)

Memory

-2.5MiB live, 35.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	21	19
2	54	16
3	131	16
4	204	16
5	228	16
6	230	16
0	6	8
1	10	8
2	18	8
3	27	8
4	39	8
5	59	8
6	98	8
7	129	8
8	187	8
9	226	8
10	248	8
0	248	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

explain599.0ms (3.9%)

Memory

-12.4MiB live, 687.5MiB 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

438.0ms	236×	2	valid
105.0ms	274×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 484.0ms

ival-tan: 444.0ms (91.8% of total)

ival-div: 21.0ms (4.3% of total)

adjust: 11.0ms (2.3% of total)

ival-sub: 6.0ms (1.2% 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

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.1%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify10.0ms (0.1%)

Memory

23.0MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize254.0ms (1.7%)

Memory

-23.3MiB live, 386.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	accuracy	6.1%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Samples

204.0ms	118×	2	valid
33.0ms	137×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-tan: 203.0ms (91.9% of total)

ival-div: 10.0ms (4.5% of total)

adjust: 5.0ms (2.3% 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

10.6MiB live, 10.6MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite191.0ms (1.2%)

Memory

19.8MiB live, 413.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 277

Calls

Call 1

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

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

simplify576.0ms (3.8%)

Memory

-1.8MiB live, 400.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval64.0ms (0.4%)

Memory: 3.3MiB live, 42.1MiB allocated
Compiler: Compiled 5 988 to 755 computations (87.4% saved)

prune79.0ms (0.5%)

Memory

-29.8MiB live, 49.9MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	323	2	325
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	324	2	326

Accuracy

99.4%

Counts

326 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
▶	99.1%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	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

38×	`-lowering-.f32`
38×	`-lowering-.f64`
24×	`accelerator-lowering-fma.f32`
24×	`accelerator-lowering-fma.f64`
12×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	20	27
2	27	27
3	32	27
0	32	25

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize75.0ms (0.5%)

Memory

14.8MiB live, 53.5MiB allocated

Localize:

Found 4 expressions of interest:

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

66.0ms

256×

valid

Compiler

Compiled 27 to 10 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (50.7% of total)

const: 6.0ms (43.5% of total)

ival-add: 1.0ms (7.2% of total)

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

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

series4.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite877.0ms (5.7%)

Memory

-15.8MiB live, 535.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 308×	`accelerator-lowering-fma.f32`
7 308×	`accelerator-lowering-fma.f64`
5 168×	`/-lowering-/.f32`
5 168×	`/-lowering-/.f64`
4 704×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	35	22
2	209	22
3	1641	22
0	8163	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 362

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x x))))
(+.f64 (.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (.f64 x x)) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x x))))))
(fma.f64 #s(literal 1/3 binary64) x (.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x))))
(fma.f64 x #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x x) (*.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 x) (.f64 x #s(literal 1/45 binary64)) (*.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 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/135 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/135 binary64))))))
(/.f64 #s(literal 1 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 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)) #s(literal 1/9 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8303765625 binary64))) #s(literal -1/729 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/18225 binary64) #s(literal 1/81 binary64)))) (/.f64 #s(literal 1 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 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8303765625 binary64))) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/18225 binary64) #s(literal 1/81 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (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 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/756680642578125 binary64)) #s(literal 1/19683 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)) (fma.f64 (.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8303765625 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8303765625 binary64))) #s(literal 1/729 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2460375 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/756680642578125 binary64)) #s(literal 1/19683 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)) #s(literal 1/9 binary64)) (+.f64 (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 1/135 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8303765625 binary64))) #s(literal 1/729 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2460375 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (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 1/135 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8303765625 binary64))) #s(literal -1/729 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)) (fma.f64 (.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8303765625 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8303765625 binary64))) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)) #s(literal 1/9 binary64)) (+.f64 (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 1/135 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (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 1/135 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8303765625 binary64))) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/18225 binary64) #s(literal 1/81 binary64)))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)) #s(literal 1/9 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8303765625 binary64))) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/18225 binary64) #s(literal 1/81 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)) #s(literal 1/9 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8303765625 binary64))) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/18225 binary64) #s(literal 1/81 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8303765625 binary64))) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/18225 binary64) #s(literal 1/81 binary64)))) (-.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64))))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/81 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64)) #s(literal -1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (fma.f64 (.f64 x x) #s(literal 1/135 binary64) #s(literal 1/9 binary64))))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal 1/9 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)) #s(literal 1/9 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal 1/9 binary64))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)) #s(literal 1/9 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal 1/9 binary64))) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))))
(*.f64 x #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) x)

simplify358.0ms (2.3%)

Memory

26.6MiB live, 385.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 632×	`-lowering-.f32`
6 632×	`-lowering-.f64`
4 134×	`cube-prod`
3 308×	`pow-lowering-pow.f64`
3 308×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	240
1	51	240
2	106	240
3	227	240
4	522	240
5	1554	240
6	1723	240
7	1945	240
8	2231	240
9	2616	240
10	3071	240
11	3638	240
12	3891	240
13	4055	240
14	4163	240
15	4278	240
16	4412	240
17	5141	240
18	6166	240
19	6603	240
20	6817	240
21	6926	240
22	7033	240
23	7157	240
24	7277	240
25	7379	240
26	7481	240
27	7583	240
28	7627	240
0	8324	222

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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)

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

eval55.0ms (0.4%)

Memory: 0.6MiB live, 113.8MiB allocated
Compiler: Compiled 17 315 to 1 237 computations (92.9% saved)

prune45.0ms (0.3%)

Memory

-4.7MiB live, 114.9MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	407	3	410
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	407	5	412

Accuracy

100.0%

Counts

412 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
▶	100.0%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
✓	99.4%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
▶	99.4%	(.f64 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 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) #s(literal 1 binary64)))))
✓	99.1%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 59 to 40 computations (32.2% saved)

simplify30.0ms (0.2%)

Memory

8.5MiB live, 47.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	320	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
✓	cost-diff	0	(*.f64 x #s(literal 1/45 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
✓	cost-diff	0	(/.f64 (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 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 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) #s(literal 1 binary64)))))
✓	cost-diff	320	(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) #s(literal 1 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) #s(literal 1 binary64))))

Rules

592×	`-lowering-.f32`
592×	`-lowering-.f64`
356×	`associate-r`
244×	`accelerator-lowering-fma.f32`
244×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	161
1	59	153
2	118	153
3	279	143
4	533	143
5	648	143
6	671	143
7	707	143
8	720	143
9	744	143
10	746	143
0	746	130

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize96.0ms (0.6%)

Memory

-23.3MiB live, 216.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/45 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/2025 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/2025 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/45 binary64))
✓	accuracy	99.4%	(.f64 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 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) #s(literal 1 binary64)))))

Samples

59.0ms

256×

valid

Compiler

Compiled 172 to 28 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 17.0ms (40.2% of total)

const: 14.0ms (33.1% of total)

ival-div: 6.0ms (14.2% of total)

ival-add: 4.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (/ 1 (/ (+ (* x (* x 1/45)) -1/3) (* (+ (* x (* x (* (* x x) 1/2025))) -1/9) 1)))>
#<alt (* (+ (* x (* x (* (* x x) 1/2025))) -1/9) 1)>
#<alt (* x (/ 1 (/ (+ (* x (* x 1/45)) -1/3) (* (+ (* x (* x (* (* x x) 1/2025))) -1/9) 1))))>
#<alt (/ (+ (* x (* x 1/45)) -1/3) (* (+ (* x (* x (* (* x x) 1/2025))) -1/9) 1))>
#<alt (/ x (/ 1 (+ (* x (* x 1/45)) 1/3)))>
#<alt (/ 1 (+ (* x (* x 1/45)) 1/3))>
#<alt (+ (* x (* x 1/45)) 1/3)>
#<alt (* x 1/45)>
#<alt (+ (* (* x (* x x)) 1/45) (* 1/3 x))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (* 1/3 x)>
#<alt (* (* x x) 1/2025)>
#<alt (* x (* (* x x) 1/2025))>

Outputs
#<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 -1/9>
#<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 (* 1/3 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 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 3>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))>
#<alt (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))>
#<alt (/ 45 (pow x 2))>
#<alt (/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 45 (pow x 2))>
#<alt (/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 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 (* 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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 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 (* 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 (* 1/2025 (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 (* 1/2025 (pow x 3))>
#<alt (* 1/2025 (pow x 3))>
#<alt (* 1/2025 (pow x 3))>
#<alt (* 1/2025 (pow x 3))>
#<alt (* 1/2025 (pow x 3))>
#<alt (* 1/2025 (pow x 3))>
#<alt (* 1/2025 (pow x 3))>
#<alt (* 1/2025 (pow x 3))>
#<alt (* 1/2025 (pow x 3))>
#<alt (* 1/2025 (pow x 3))>
#<alt (* 1/2025 (pow x 3))>
#<alt (* 1/2025 (pow x 3))>

Calls

42 calls:

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

rewrite457.0ms (3%)

Memory

12.7MiB live, 839.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 736×	`accelerator-lowering-fma.f32`
11 736×	`accelerator-lowering-fma.f64`
6 076×	`-lowering-.f32`
6 076×	`-lowering-.f64`
2 764×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	160
1	139	90
2	973	88
0	8424	80

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1 357

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(+.f64 #s(literal 1/3 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -1/45 binary64))))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -1/45 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) (/.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) (/.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) #s(literal -1/9 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))))))
(+.f64 (/.f64 #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) (.f64 x #s(literal 1/2025 binary64))) (/.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(+.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/45 binary64))) #s(literal 1/3 binary64))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) (/.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 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 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/45 binary64))) #s(literal 1/3 binary64))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) #s(literal -1/27 binary64))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))))) (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -1/135 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -1/135 binary64)))) (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) #s(literal -1/27 binary64))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))))) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 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 1 binary64)) (.f64 (/.f64 #s(literal -1/9 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1/9 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x x) (.f64 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 1 binary64)))
(+.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/45 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64))
(+.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64)))) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) #s(literal -1/27 binary64)))) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -1/135 binary64))) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) #s(literal -1/27 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -1/135 binary64))) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) #s(literal -1/27 binary64)))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64)))) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) #s(literal -1/27 binary64)))))
(+.f64 (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) (.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(-.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal -1/3 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64)))
(-.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) (/.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/4100625 binary64))) (fma.f64 x (.f64 (.f64 x x) (.f64 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 #s(literal 1/81 binary64) (fma.f64 x (.f64 (.f64 x x) (.f64 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 (.f64 x #s(literal 1/45 binary64))) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 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 1 binary64)) (/.f64 (/.f64 #s(literal -1/9 binary64) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/4100625 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/81 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64)))) (+.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -1/135 binary64)))) (/.f64 #s(literal -1/27 binary64) (+.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -1/135 binary64)))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64)))) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) (/.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) #s(literal -1/9 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 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 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(fma.f64 x (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64))
(fma.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(fma.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1 binary64) #s(literal 1/3 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) (.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) (.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
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(.f64 (/.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/4100625 binary64)) #s(literal -1/81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal 1/9 binary64))))
(.f64 (pow.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 -1/2 binary64)) (pow.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 -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal 1/9 binary64))) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/135 binary64)))))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64) #s(literal 1/9 binary64)))
(.f64 (.f64 x (pow.f64 (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 x (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) #s(literal -1/27 binary64)))) (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal -1/135 binary64)))))
(.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)))
(.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8303765625 binary64)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/4100625 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/18225 binary64)))))
(.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/4100625 binary64)) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/2025 binary64))) #s(literal 1/9 binary64))))
(.f64 (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64) #s(literal 1/9 binary64)))
(.f64 (.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.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 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2025 binary64))))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(.f64 x (.f64 #s(literal 1/45 binary64) (*.f64 x #s(literal 1/45 binary64))))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x #s(literal 1/45 binary64))))
(.f64 (.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/45 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal 1/45 binary64))
(.f64 (.f64 x x) #s(literal 1/2025 binary64))
(.f64 #s(literal 1/2025 binary64) (.f64 x x))
(.f64 (.f64 x (*.f64 x #s(literal 1/2025 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 1/2025 binary64)) x)
(.f64 (.f64 (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/45 binary64)) x)
(.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x #s(literal 1/45 binary64))) x)
(/.f64 (.f64 x (.f64 x #s(literal 1/2025 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2025 binary64))))
(.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))))
(.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 x (.f64 x #s(literal 1/45 binary64))))
(.f64 (.f64 x (.f64 x #s(literal 1/45 binary64))) (.f64 x #s(literal 1/45 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/2025 binary64)))
(.f64 (.f64 x x) (.f64 (.f64 x #s(literal 1/45 binary64)) #s(literal 1/45 binary64)))
(.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) (.f64 x #s(literal 1/45 binary64))))
(.f64 #s(literal 1/2025 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (*.f64 x #s(literal 1/2025 binary64))) x)
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/2025 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/2025 binary64))
(.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))) #s(literal 1/45 binary64))
(.f64 (.f64 x #s(literal 1/2025 binary64)) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2025 binary64)))
(.f64 (.f64 (.f64 x #s(literal 1/45 binary64)) #s(literal 1/45 binary64)) (.f64 x x))
(.f64 (.f64 #s(literal 1/45 binary64) (.f64 x #s(literal 1/45 binary64))) (.f64 x x))
(.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))

simplify535.0ms (3.5%)

Memory

-50.0MiB live, 433.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 362×	`accelerator-lowering-fma.f32`
10 362×	`accelerator-lowering-fma.f64`
3 350×	`-lowering-.f32`
3 350×	`-lowering-.f64`
1 842×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	1072
1	159	1072
2	370	1072
3	853	1072
4	2118	1072
5	4946	1072
0	8032	1006

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 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)))))
-1/9
(- (* 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)))))
(* 1/3 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 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 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 (* 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)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 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)
(* 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)
(* 1/2025 (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))
(* 1/2025 (pow x 3))
(* 1/2025 (pow x 3))
(* 1/2025 (pow x 3))
(* 1/2025 (pow x 3))
(* 1/2025 (pow x 3))
(* 1/2025 (pow x 3))
(* 1/2025 (pow x 3))
(* 1/2025 (pow x 3))
(* 1/2025 (pow x 3))
(* 1/2025 (pow x 3))
(* 1/2025 (pow x 3))
(* 1/2025 (pow x 3))

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

eval321.0ms (2.1%)

Memory: 14.7MiB live, 321.2MiB allocated
Compiler: Compiled 51 130 to 2 948 computations (94.2% saved)

prune157.0ms (1%)

Memory

2.5MiB live, 239.0MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 561	2	1 563
Fresh	0	0	0
Picked	2	1	3
Done	0	2	2
Total	1 563	5	1 568

Accuracy

100.0%

Counts

1 568 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
▶	99.7%	(/.f64 x #s(literal 3 binary64))
✓	99.4%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
▶	99.4%	(.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))))
✓	99.1%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify5.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	384	(/.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)))
✓	cost-diff	320	(.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))))

Rules

50×	`-lowering-.f32`
50×	`-lowering-.f64`
14×	`*-commutative`
12×	`associate-r`
12×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	19	37
2	25	37
3	46	37
4	49	37
5	50	37
0	50	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize35.0ms (0.2%)

Memory

2.6MiB live, 41.6MiB allocated

Localize:

Found 5 expressions of interest:

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

Samples

21.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 5.0ms (38.1% of total)

ival-div: 3.0ms (22.9% of total)

const: 3.0ms (22.9% of total)

ival-add: 1.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.6MiB live, 3.5MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

15 calls:

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

rewrite369.0ms (2.4%)

Memory

1.1MiB live, 473.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 372×	`accelerator-lowering-fma.f32`
7 372×	`accelerator-lowering-fma.f64`
4 198×	`/-lowering-/.f32`
4 198×	`/-lowering-/.f64`
3 678×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	53	31
2	275	31
3	2110	31
0	8514	28

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 488

Calls

Call 1

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

Outputs
(+.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 x (.f64 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))) (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 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))) (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 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 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/25 binary64))))))
(+.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64))) (.f64 (.f64 x x) #s(literal -1/5 binary64))) (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64))) #s(literal -3 binary64)))
(+.f64 (.f64 (.f64 x (.f64 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 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 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 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 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 x (.f64 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 (.f64 x x) #s(literal -1/5 binary64)) (/.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)))) (.f64 #s(literal -3 binary64) (/.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)))) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (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))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/5 binary64)) (/.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64))) (.f64 #s(literal -3 binary64) (/.f64 x (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)))))
(fma.f64 (.f64 x (.f64 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 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 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 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 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 x (.f64 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)))))
(fma.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 x (.f64 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))) (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64))))
(fma.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))) (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 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 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))))))
(fma.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64))) (.f64 (.f64 x x) #s(literal -1/5 binary64)) (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64))) #s(literal -3 binary64)))
(neg.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64))) x))
(neg.f64 (.f64 x (/.f64 #s(literal 1 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)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 3 binary64))) (/.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))))) (.f64 #s(literal 1/625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/15625 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)) (.f64 (.f64 x x) #s(literal -3/5 binary64)))) (.f64 x (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)) (.f64 (*.f64 x x) #s(literal -3/5 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))) (.f64 x (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) (fma.f64 (.f64 x x) #s(literal -3/5 binary64) #s(literal 9 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 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))))) (.f64 #s(literal 1/625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.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))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/15625 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #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 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)) (.f64 (.f64 x x) #s(literal -3/5 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) (fma.f64 (.f64 x x) #s(literal -3/5 binary64) #s(literal 9 binary64))) (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64))) (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 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x)))
(/.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64)))
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(/.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 3 binary64))))
(/.f64 (.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/15625 binary64))))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))))) (.f64 #s(literal 1/625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)) (.f64 (.f64 x x) #s(literal -3/5 binary64))))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)) (.f64 (*.f64 x x) #s(literal -3/5 binary64)))))
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(/.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 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) (fma.f64 (.f64 x x) #s(literal -3/5 binary64) #s(literal 9 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))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/15625 binary64))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))))) (.f64 #s(literal 1/625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))
(/.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 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)) (.f64 (.f64 x x) #s(literal -3/5 binary64))))) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)) (.f64 (.f64 x x) #s(literal -3/5 binary64))))
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(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal -27 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) (fma.f64 (*.f64 x x) #s(literal -3/5 binary64) #s(literal 9 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/125 binary64) #s(literal -27 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/15625 binary64))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))))) (.f64 #s(literal 1/625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)) (.f64 (.f64 x x) #s(literal -3/5 binary64))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)) (.f64 (.f64 x x) #s(literal -3/5 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal -27 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) (fma.f64 (*.f64 x x) #s(literal -3/5 binary64) #s(literal 9 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/125 binary64) #s(literal -27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/15625 binary64)) #s(literal -729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 9/25 binary64) #s(literal 81 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)) (fma.f64 #s(literal 1/625 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal 9 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 3 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/1953125 binary64)) #s(literal 19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/15625 binary64)) #s(literal 729 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -27/125 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/15625 binary64)) #s(literal -729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal -27 binary64))))
(.f64 (exp.f64 (log.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64))))))
(.f64 (exp.f64 (log.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))) #s(literal -9 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/3 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 x #s(literal -1/3 binary64)))
(/.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(/.f64 (neg.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64)) (.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 3 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64))))) #s(literal -1 binary64))
(*.f64 x #s(literal 1/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/3 binary64)))
(.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/3 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal -1/3 binary64) (neg.f64 x))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1/3 binary64))

simplify272.0ms (1.8%)

Memory

0.8MiB live, 360.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 022×	`accelerator-lowering-fma.f32`
9 022×	`accelerator-lowering-fma.f64`
2 620×	`-lowering-.f32`
2 620×	`-lowering-.f64`
1 916×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	454
1	196	454
2	514	442
3	1245	442
4	2434	442
5	4902	442
0	8178	421

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 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
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2)))))))
(/ -5 (pow x 2))
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) (pow x 2))
(/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) (pow x 2))
(/ -5 (pow x 2))
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) (pow x 2))
(/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) (pow x 2))
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))
(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)
(* 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 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x 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 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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 #s(literal 75 binary64) (/.f64 (+.f64 #s(literal -1125 binary64) (/.f64 #s(literal -16875 binary64) (.f64 x x))) (*.f64 x x))) #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 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 #s(literal 75 binary64) (/.f64 (+.f64 #s(literal -1125 binary64) (/.f64 #s(literal -16875 binary64) (.f64 x x))) (*.f64 x x))) #s(literal -5 binary64)) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/675 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/10125 binary64) #s(literal 1/675 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(/ -5 (pow x 2))
(/.f64 #s(literal -5 binary64) (*.f64 x x))
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -75 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) (pow x 2))
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -75 binary64) (/.f64 #s(literal -1125 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 #s(literal 75 binary64) (/.f64 (+.f64 #s(literal -1125 binary64) (/.f64 #s(literal -16875 binary64) (.f64 x x))) (.f64 x x))) #s(literal -5 binary64)) (.f64 x x))
(/ -5 (pow x 2))
(/.f64 #s(literal -5 binary64) (*.f64 x x))
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -75 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) (pow x 2))
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -75 binary64) (/.f64 #s(literal -1125 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 #s(literal 75 binary64) (/.f64 (+.f64 #s(literal -1125 binary64) (/.f64 #s(literal -16875 binary64) (.f64 x x))) (.f64 x x))) #s(literal -5 binary64)) (.f64 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))
(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)
(* 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)

eval92.0ms (0.6%)

Memory: -2.9MiB live, 111.6MiB allocated
Compiler: Compiled 21 592 to 1 896 computations (91.2% saved)

prune58.0ms (0.4%)

Memory

-0.1MiB live, 115.9MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	548	0	548
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	548	5	553

Accuracy

100.0%

Counts

553 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
✓	99.7%	(/.f64 x #s(literal 3 binary64))
✓	99.4%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	99.4%	(.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))))
✓	99.1%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 115 to 61 computations (47% saved)

regimes6.0ms (0%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

8 → 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)))
(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 (.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(.f64 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 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

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

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	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)

regimes4.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	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

5.0MiB live, 5.0MiB 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
99.1%	1	`x`
99.1%	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

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	16	16

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness532.0ms (3.5%)

Memory

0.5MiB live, 393.1MiB allocated

Rules

18 970×	`accelerator-lowering-fma.f32`
18 970×	`accelerator-lowering-fma.f64`
10 362×	`accelerator-lowering-fma.f32`
10 362×	`accelerator-lowering-fma.f64`
7 308×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	1072
1	159	1072
2	370	1072
3	853	1072
4	2118	1072
5	4946	1072
0	8032	1006
0	8	22
1	35	22
2	209	22
3	1641	22
0	8163	20
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×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 65 to 45 computations (30.8% saved)

preprocess41.0ms (0.3%)

Memory: -28.7MiB live, 93.3MiB allocated
Remove: (negabs x)
Compiler: Compiled 146 to 100 computations (31.5% 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
1	10	8
2	18	8
3	27	8
4	39	8
5	59	8
6	98	8
7	129	8
8	187	8
9	226	8
10	248	8
0	248	8

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

Iter	Nodes	Cost
0	26	161
1	59	153
2	118	153
3	279	143
4	533	143
5	648	143
6	671	143
7	707	143
8	720	143
9	744	143
10	746	143
0	746	130

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

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

Iter	Nodes	Cost
0	26	161
1	59	153
2	118	153
3	279	143
4	533	143
5	648	143
6	671	143
7	707	143
8	720	143
9	744	143
10	746	143
0	746	130

analyze5.0ms (0%)

sample9.1s (59.3%)

preprocess25.0ms (0.2%)

explain599.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize254.0ms (1.7%)

series4.0ms (0%)

rewrite191.0ms (1.2%)

simplify576.0ms (3.8%)

eval64.0ms (0.4%)

prune79.0ms (0.5%)

simplify4.0ms (0%)

localize75.0ms (0.5%)

series4.0ms (0%)

rewrite877.0ms (5.7%)

simplify358.0ms (2.3%)

eval55.0ms (0.4%)

prune45.0ms (0.3%)

simplify30.0ms (0.2%)

localize96.0ms (0.6%)

series8.0ms (0.1%)

rewrite457.0ms (3%)

simplify535.0ms (3.5%)

eval321.0ms (2.1%)

prune157.0ms (1%)

simplify5.0ms (0%)

localize35.0ms (0.2%)

series2.0ms (0%)

rewrite369.0ms (2.4%)

simplify272.0ms (1.8%)

eval92.0ms (0.6%)

prune58.0ms (0.4%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

simplify7.0ms (0%)

soundness532.0ms (3.5%)

preprocess41.0ms (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
1	10	8
2	18	8
3	27	8
4	39	8
5	59	8
6	98	8
7	129	8
8	187	8
9	226	8
10	248	8
0	248	8

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

Iter	Nodes	Cost
0	26	161
1	59	153
2	118	153
3	279	143
4	533	143
5	648	143
6	671	143
7	707	143
8	720	143
9	744	143
10	746	143
0	746	130