Metrics for invcot (example 3.9)

analyze5.0ms (0%)

Memory

9.4MiB live, 9.4MiB 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)

sample10.2s (59.6%)

Memory

12.9MiB live, 10 830.6MiB allocated

Samples

7.9s	3 817×	2	valid
1.9s	4 332×	1	valid
10.0ms	107×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 9.5s

ival-tan: 7.8s (82.4% of total)

ival-div: 691.0ms (7.3% of total)

const: 351.0ms (3.7% of total)

adjust: 271.0ms (2.9% of total)

ival-<: 231.0ms (2.4% of total)

ival-sub: 99.0ms (1% of total)

ival-and: 13.0ms (0.1% of total)

exact: 6.0ms (0.1% of total)

ival-assert: 4.0ms (0% of total)

Bogosity

preprocess64.0ms (0.4%)

Memory

2.8MiB live, 38.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

explain488.0ms (2.9%)

Memory

-3.9MiB live, 753.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	256	(4.96842358091974e-70)	`(/.f64 #s(literal 1 binary64) x)`
256	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
5	-	5	(0.001285601092787129)	`(tan.f64 x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) (tan.f64 x))`
0	-	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

350.0ms	240×	2	valid
66.0ms	266×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 80 to 34 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 395.0ms

ival-tan: 346.0ms (87.6% of total)

ival-div: 24.0ms (6.1% of total)

adjust: 18.0ms (4.6% of total)

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

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify11.0ms (0.1%)

Memory

26.0MiB live, 26.1MiB 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×	`lower-fma.f64`
112×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
48×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize244.0ms (1.4%)

Memory

-23.5MiB live, 327.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	accuracy	99.3%	(tan.f64 x)
✓	accuracy	5.7%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	accuracy	5.4%	(/.f64 #s(literal 1 binary64) x)

Samples

190.0ms	120×	2	valid
31.0ms	133×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 41 to 14 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-tan: 187.0ms (88.6% of total)

ival-div: 12.0ms (5.7% of total)

adjust: 9.0ms (4.3% of total)

ival-sub: 3.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

Compiler

Compiled 71 to 52 computations (26.8% saved)

rewrite195.0ms (1.1%)

Memory

21.7MiB live, 216.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 277

Calls

Call 1

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

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

simplify684.0ms (4%)

Memory

-11.2MiB live, 589.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

eval79.0ms (0.5%)

Memory: 5.3MiB live, 81.3MiB allocated
Compiler: Compiled 5 981 to 755 computations (87.4% saved)

prune113.0ms (0.7%)

Memory

10.8MiB live, 95.6MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	321	3	324
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	322	3	325

Accuracy

99.5%

Counts

325 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
▶	99.4%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
▶	98.9%	(*.f64 #s(literal 1/3 binary64) x)

Status

Accuracy

Program

▶

99.5%

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

▶

99.4%

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

▶

98.9%

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify11.0ms (0.1%)

Memory

-16.6MiB live, 22.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

232×	`lower-fma.f32`
226×	`lower-fma.f64`
144×	`lower-*.f32`
132×	`lower-*.f64`
70×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	65
0	25	65
1	56	65
2	116	65
3	191	65
4	203	65
5	208	65
0	208	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize67.0ms (0.4%)

Memory

-3.9MiB live, 75.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	14.3%	(*.f64 x #s(literal 2/945 binary64))
✓	accuracy	6.9%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	5.5%	(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
✓	accuracy	4.3%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
✓	accuracy	15.7%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	14.9%	(*.f64 x #s(literal 1/45 binary64))
✓	accuracy	17.7%	(*.f64 #s(literal 1/3 binary64) x)

Samples

45.0ms

256×

valid

Compiler

Compiled 140 to 31 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 12.0ms (49.6% of total)

const: 9.0ms (37.2% of total)

ival-add: 3.0ms (12.4% of total)

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

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

series13.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

9 → 108

Calls

Call 1

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

Outputs
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 3))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 3))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 3))))>
#<alt (* 1/45 (pow x 5))>
#<alt (* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* -1/45 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))>
#<alt (* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))>
#<alt (* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 3)))>
#<alt (+ 1/3 (* 1/45 (pow x 3)))>
#<alt (+ 1/3 (* 1/45 (pow x 3)))>
#<alt (* 1/45 (pow x 4))>
#<alt (* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* 1/45 (pow x 4))>
#<alt (* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* 1/45 (pow x 9))>
#<alt (* (pow x 9) (+ 1/45 (* 2/945 (/ 1 (pow x 5)))))>
#<alt (* (pow x 9) (+ 1/45 (+ (/ 1/3 (pow x 8)) (* 2/945 (/ 1 (pow x 5))))))>
#<alt (* (pow x 9) (+ 1/45 (+ (/ 1/3 (pow x 8)) (* 2/945 (/ 1 (pow x 5))))))>
#<alt (* -1/45 (pow x 10))>
#<alt (* (pow x 10) (- (* 2/945 (/ 1 (pow x 5))) 1/45))>
#<alt (* (pow x 10) (- (+ (/ 1/3 (pow x 9)) (* 2/945 (/ 1 (pow x 5)))) 1/45))>
#<alt (* (pow x 10) (- (+ (/ 1/3 (pow x 9)) (* 2/945 (/ 1 (pow x 5)))) 1/45))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (* 1/45 (pow x 8))>
#<alt (* (pow x 8) (+ 1/45 (* 2/945 (/ 1 (pow x 5)))))>
#<alt (* (pow x 8) (+ 1/45 (+ (/ 1/3 (pow x 8)) (* 2/945 (/ 1 (pow x 5))))))>
#<alt (* (pow x 8) (+ 1/45 (+ (/ 1/3 (pow x 8)) (* 2/945 (/ 1 (pow x 5))))))>
#<alt (* 1/45 (pow x 8))>
#<alt (* (pow x 8) (- 1/45 (* 2/945 (/ 1 (pow x 5)))))>
#<alt (* (pow x 8) (+ 1/45 (* -1 (/ (- 2/945 (* 1/3 (/ 1 (pow x 3)))) (pow x 5)))))>
#<alt (* (pow x 8) (+ 1/45 (* -1 (/ (- 2/945 (* 1/3 (/ 1 (pow x 3)))) (pow x 5)))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/45>
#<alt (+ 1/45 (* 2/945 (pow x 3)))>
#<alt (+ 1/45 (* 2/945 (pow x 3)))>
#<alt (+ 1/45 (* 2/945 (pow x 3)))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

27 calls:

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

Compiler

Compiled 244 to 201 computations (17.6% saved)

rewrite419.0ms (2.4%)

Memory

2.2MiB live, 388.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 508×	`lower-fma.f32`
8 502×	`lower-fma.f64`
5 004×	`lower-*.f32`
4 992×	`lower-*.f64`
2 486×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
0	25	56
1	97	56
2	653	56
3	6329	56
0	8158	56

Stop Event

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

Counts

9 → 392

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) x (.f64 x (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(fma.f64 x #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(fma.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x)) (*.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 x) (.f64 x #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/135 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/135 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/135 binary64)))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(/.f64 #s(literal 1 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 x (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (*.f64 x x))) #s(literal 1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)) (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))))
(/.f64 (.f64 (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))) #s(literal 1/27 binary64))) (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 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/135 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))) (neg.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))) #s(literal 1/27 binary64)))) (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 (neg.f64 (.f64 x (fma.f64 (.f64 x 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 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x)))))
(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))) #s(literal 1/27 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 x (neg.f64 (fma.f64 (.f64 x 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 x (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))))) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))) #s(literal 1/27 binary64))) x) (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 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))) x) (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) x) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/135 binary64)))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.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 x (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (*.f64 x x))) #s(literal 1/27 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)) (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))) #s(literal -1 binary64))
(.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))) #s(literal 1/27 binary64)) (.f64 (/.f64 #s(literal 1 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))) x))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))) #s(literal 1/27 binary64)) (/.f64 x (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 (.f64 x 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 #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) x))
(.f64 (fma.f64 (.f64 x 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))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64))) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
(.f64 (.f64 (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 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 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 x x))) #s(literal 1/27 binary64))) (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 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/8303765625 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 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/4100625 binary64))))
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(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64)) #s(literal 1/91125 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64)) #s(literal 1/2025 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))) #s(literal -1/2025 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64)) #s(literal 1/91125 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64)) #s(literal 1/2025 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))) #s(literal -1/2025 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -2/945 binary64) #s(literal 1/45 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)))) (neg.f64 (-.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2025 binary64) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64))) (fma.f64 (/.f64 #s(literal 1/2025 binary64) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64))) (/.f64 #s(literal 1/2025 binary64) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64))) (/.f64 #s(literal 1/2025 binary64) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64)))) (.f64 (/.f64 #s(literal 1/2025 binary64) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64))) (/.f64 #s(literal 1/2025 binary64) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64))))) (fma.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64))) (/.f64 #s(literal 1/2025 binary64) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 64/712181767349390625 binary64)) #s(literal 1/756680642578125 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64)) #s(literal 1/2025 binary64)))) (-.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 64/712181767349390625 binary64) #s(literal 1/8303765625 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 8/76901173453125 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 64/712181767349390625 binary64) #s(literal -1/8303765625 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64)) #s(literal 1/2025 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64)) #s(literal -1/91125 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 64/712181767349390625 binary64) #s(literal -1/8303765625 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64)))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16/797493650625 binary64) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 4/1808375625 binary64) #s(literal 1/4100625 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16/797493650625 binary64) #s(literal -1/4100625 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 1/2025 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64)))) (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64)) #s(literal 1/91125 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64)) #s(literal 1/2025 binary64))))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))) #s(literal -1/2025 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64)) #s(literal 1/91125 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64)) #s(literal 1/2025 binary64)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))) #s(literal -1/2025 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/945 binary64) #s(literal 1/45 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64)) #s(literal 1/2025 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 8/843908625 binary64)) #s(literal 1/91125 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64))) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 4/893025 binary64))) #s(literal -1/2025 binary64)))
(.f64 (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x #s(literal 2/945 binary64))))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))) #s(literal -1/2025 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))) #s(literal -1/2025 binary64))) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -2/42525 binary64) #s(literal 1/2025 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -2/42525 binary64) #s(literal 1/2025 binary64)) (fma.f64 (.f64 x x) #s(literal -2/42525 binary64) #s(literal 1/2025 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 64/712181767349390625 binary64)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal -2/42525 binary64) #s(literal 1/2025 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal -2/42525 binary64) #s(literal 1/2025 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16/797493650625 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64)) #s(literal 1/91125 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64)) #s(literal 1/2025 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))) #s(literal -1/2025 binary64)) (.f64 (.f64 x x) #s(literal 2/42525 binary64))))) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))) #s(literal -1/2025 binary64)) (.f64 (.f64 x x) #s(literal 2/42525 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/893025 binary64))) #s(literal -1/2025 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64)) #s(literal -1/91125 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64) (fma.f64 (*.f64 x x) #s(literal 2/42525 binary64) #s(literal 1/2025 binary64))))
(*.f64 x #s(literal 2/945 binary64))
(*.f64 #s(literal 2/945 binary64) x)

simplify442.0ms (2.6%)

Memory

4.0MiB live, 281.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 736×	`lower-fma.f64`
7 736×	`lower-fma.f32`
3 222×	`lower-*.f64`
3 222×	`lower-*.f32`
1 796×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	680
1	231	678
2	479	630
3	883	630
4	1858	616
5	4702	602
0	8014	561

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 92

Calls

Call 1

Inputs
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 3))))
(* x (+ 1/3 (* 1/45 (pow x 3))))
(* x (+ 1/3 (* 1/45 (pow x 3))))
(* 1/45 (pow x 5))
(* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* -1/45 (pow x 6))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
1/3
(+ 1/3 (* 1/45 (pow x 3)))
(+ 1/3 (* 1/45 (pow x 3)))
(+ 1/3 (* 1/45 (pow x 3)))
(* 1/45 (pow x 4))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* 1/45 (pow x 4))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* 1/45 (pow x 9))
(* (pow x 9) (+ 1/45 (* 2/945 (/ 1 (pow x 5)))))
(* (pow x 9) (+ 1/45 (+ (/ 1/3 (pow x 8)) (* 2/945 (/ 1 (pow x 5))))))
(* (pow x 9) (+ 1/45 (+ (/ 1/3 (pow x 8)) (* 2/945 (/ 1 (pow x 5))))))
(* -1/45 (pow x 10))
(* (pow x 10) (- (* 2/945 (/ 1 (pow x 5))) 1/45))
(* (pow x 10) (- (+ (/ 1/3 (pow x 9)) (* 2/945 (/ 1 (pow x 5)))) 1/45))
(* (pow x 10) (- (+ (/ 1/3 (pow x 9)) (* 2/945 (/ 1 (pow x 5)))) 1/45))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(* 1/45 (pow x 8))
(* (pow x 8) (+ 1/45 (* 2/945 (/ 1 (pow x 5)))))
(* (pow x 8) (+ 1/45 (+ (/ 1/3 (pow x 8)) (* 2/945 (/ 1 (pow x 5))))))
(* (pow x 8) (+ 1/45 (+ (/ 1/3 (pow x 8)) (* 2/945 (/ 1 (pow x 5))))))
(* 1/45 (pow x 8))
(* (pow x 8) (- 1/45 (* 2/945 (/ 1 (pow x 5)))))
(* (pow x 8) (+ 1/45 (* -1 (/ (- 2/945 (* 1/3 (/ 1 (pow x 3)))) (pow x 5)))))
(* (pow x 8) (+ 1/45 (* -1 (/ (- 2/945 (* 1/3 (/ 1 (pow x 3)))) (pow x 5)))))
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/45
(+ 1/45 (* 2/945 (pow x 3)))
(+ 1/45 (* 2/945 (pow x 3)))
(+ 1/45 (* 2/945 (pow x 3)))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 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)
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 3))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 3))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 3))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))
(* 1/45 (pow x 5))
(.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 1/3 binary64) x (.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 1/3 binary64) x (.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 1/3 binary64) x (.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(* -1/45 (pow x 6))
(.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
(fma.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1/3 binary64) x))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
(fma.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1/3 binary64) x))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
(fma.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1/3 binary64) x))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 3)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 3)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 3)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(* 1/45 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(* 1/45 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/45 (pow x 9))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (+ 1/45 (* 2/945 (/ 1 (pow x 5)))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 9) (+ 1/45 (+ (/ 1/3 (pow x 8)) (* 2/945 (/ 1 (pow x 5))))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))))
(* (pow x 9) (+ 1/45 (+ (/ 1/3 (pow x 8)) (* 2/945 (/ 1 (pow x 5))))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))))
(* -1/45 (pow x 10))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (* 2/945 (/ 1 (pow x 5))) 1/45))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 10) (- (+ (/ 1/3 (pow x 9)) (* 2/945 (/ 1 (pow x 5)))) 1/45))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 9 binary64))))))
(* (pow x 10) (- (+ (/ 1/3 (pow x 9)) (* 2/945 (/ 1 (pow x 5)))) 1/45))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 9 binary64))))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 1/45 (pow x 8))
(.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 8) (+ 1/45 (* 2/945 (/ 1 (pow x 5)))))
(.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 8) (+ 1/45 (+ (/ 1/3 (pow x 8)) (* 2/945 (/ 1 (pow x 5))))))
(fma.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))) #s(literal 1/3 binary64))
(* (pow x 8) (+ 1/45 (+ (/ 1/3 (pow x 8)) (* 2/945 (/ 1 (pow x 5))))))
(fma.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))) #s(literal 1/3 binary64))
(* 1/45 (pow x 8))
(.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 8) (- 1/45 (* 2/945 (/ 1 (pow x 5)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 8) (+ 1/45 (* -1 (/ (- 2/945 (* 1/3 (/ 1 (pow x 3)))) (pow x 5)))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 1/3 binary64))
(* (pow x 8) (+ 1/45 (* -1 (/ (- 2/945 (* 1/3 (/ 1 (pow x 3)))) (pow x 5)))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 1/3 binary64))
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/45
#s(literal 1/45 binary64)
(+ 1/45 (* 2/945 (pow x 3)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(+ 1/45 (* 2/945 (pow x 3)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(+ 1/45 (* 2/945 (pow x 3)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* 2/945 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 2/945 binary64)))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* 2/945 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 2/945 binary64)))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval61.0ms (0.4%)

Memory: 21.7MiB live, 136.4MiB allocated
Compiler: Compiled 16 641 to 1 317 computations (92.1% saved)

prune50.0ms (0.3%)

Memory

12.8MiB live, 125.2MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	480	4	484
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	480	7	487

Accuracy

100.0%

Counts

487 → 7

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))
▶	54.1%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))))
▶	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
✓	99.5%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	99.4%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	98.9%	(*.f64 #s(literal 1/3 binary64) x)
▶	3.8%	(neg.f64 x)

Compiler

Compiled 101 to 52 computations (48.5% saved)

simplify179.0ms (1%)

Memory

-29.0MiB live, 339.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 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 (.f64 x x) #s(literal 1/9 binary64))
✓	cost-diff	448	(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))))
✓	cost-diff	640	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))))
✓	cost-diff	768	(-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
✓	cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
✓	cost-diff	0	(neg.f64 x)

Rules

4 390×	`lower-*.f32`
4 372×	`lower-*.f64`
4 142×	`lower-fma.f32`
4 136×	`lower-fma.f64`
1 404×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	251
0	45	241
1	107	221
2	335	221
3	1763	209
4	6111	207
0	8411	203

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (0.7%)

Memory

-4.4MiB live, 190.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
✓	accuracy	6.9%	(*.f64 #s(literal 1/3 binary64) x)
✓	accuracy	4.2%	(*.f64 x x)
✓	accuracy	3.9%	(.f64 x (.f64 x x))
✓	accuracy	5.2%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))))
✓	accuracy	4.3%	(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
✓	accuracy	4.2%	(*.f64 x x)
✓	accuracy	3.7%	(.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
✓	accuracy	14.3%	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
✓	accuracy	6.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
✓	accuracy	4.2%	(*.f64 x x)
✓	accuracy	3.8%	(neg.f64 x)

Samples

56.0ms

256×

valid

Compiler

Compiled 523 to 53 computations (89.9% saved)

Precisions

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

ival-mult: 20.0ms (47.1% of total)

const: 11.0ms (25.9% of total)

ival-div: 5.0ms (11.8% of total)

ival-add: 3.0ms (7.1% of total)

ival-sub: 2.0ms (4.7% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series174.0ms (1%)

Memory

13.0MiB live, 51.7MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (neg.f64 x)>
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))>
#<alt (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))>
#<alt (*.f64 x x)>
#<alt (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))))>
#<alt (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))))>
#<alt (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))))>
#<alt (.f64 (.f64 x x) #s(literal 1/9 binary64))>
#<alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))>
#<alt (.f64 x (.f64 x x))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))>
#<alt (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))>

Outputs
#<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 (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 3))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 3))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 3))))>
#<alt (* 1/45 (pow x 5))>
#<alt (* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* -1/45 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))>
#<alt (* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))>
#<alt (* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))>
#<alt 3>
#<alt (+ 3 (* -1/5 (pow x 4)))>
#<alt (+ 3 (* (pow x 4) (- (* 1/75 (pow x 4)) 1/5)))>
#<alt (+ 3 (* (pow x 4) (- (* (pow x 4) (+ 1/75 (* -1/1125 (pow x 4)))) 1/5)))>
#<alt (/ 45 (pow x 4))>
#<alt (/ (- 45 (* 675 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 8))) (* 675 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 8))) (+ (* 675 (/ 1 (pow x 4))) (* 151875 (/ 1 (pow x 12))))) (pow x 4))>
#<alt (/ 45 (pow x 4))>
#<alt (/ (- 45 (* 675 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 8))) (* 675 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 8))) (+ (* 675 (/ 1 (pow x 4))) (* 151875 (/ 1 (pow x 12))))) (pow x 4))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 3)))>
#<alt (+ 1/3 (* 1/45 (pow x 3)))>
#<alt (+ 1/3 (* 1/45 (pow x 3)))>
#<alt (* 1/45 (pow x 4))>
#<alt (* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* 1/45 (pow x 4))>
#<alt (* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* -1/2025 (pow x 3))))>
#<alt (* (pow x 2) (+ 1/9 (* (pow x 3) (- (* -4/42525 (pow x 2)) 1/2025))))>
#<alt (* (pow x 2) (+ 1/9 (* (pow x 3) (- (* (pow x 2) (- (* -4/893025 (pow x 2)) 4/42525)) 1/2025))))>
#<alt (* -8/843908625 (pow x 21))>
#<alt (* -1 (* (pow x 21) (+ 8/843908625 (* 4/13395375 (/ 1 (pow x 3))))))>
#<alt (* (pow x 21) (- (* -1 (/ (+ 4/13395375 (* 2/637875 (/ 1 (pow x 3)))) (pow x 3))) 8/843908625))>
#<alt (* (pow x 21) (- (* -1 (/ (+ 2/637875 (* 1/91125 (/ 1 (pow x 3)))) (pow x 6))) (+ 8/843908625 (* 4/13395375 (/ 1 (pow x 3))))))>
#<alt (* 8/843908625 (pow x 21))>
#<alt (* -1 (* (pow x 21) (- (* 4/13395375 (/ 1 (pow x 3))) 8/843908625)))>
#<alt (* -1 (* (pow x 21) (- (* -1 (/ (- (* 2/637875 (/ 1 (pow x 3))) 4/13395375) (pow x 3))) 8/843908625)))>
#<alt (* -1 (* (pow x 21) (- (* -1 (/ (- (* -1 (/ (- (* 1/91125 (/ 1 (pow x 3))) 2/637875) (pow x 3))) 4/13395375) (pow x 3))) 8/843908625)))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/675 (pow x 3))))>
#<alt (* x (+ 1/3 (* (pow x 3) (- (* -4/14175 (pow x 2)) 1/675))))>
#<alt (* x (+ 1/3 (* (pow x 3) (- (* (pow x 2) (- (* -4/297675 (pow x 2)) 4/14175)) 1/675))))>
#<alt (/ 8/18753525 x)>
#<alt (/ (+ 8/18753525 (* 5276/393824025 (/ 1 (pow x 3)))) x)>
#<alt (/ (+ 8/18753525 (+ (/ 1156334/8270304525 (pow x 6)) (* 5276/393824025 (/ 1 (pow x 3))))) x)>
#<alt (/ (+ 8/18753525 (+ (/ 1156334/8270304525 (pow x 6)) (+ (* 5276/393824025 (/ 1 (pow x 3))) (* 83453453/173676395025 (/ 1 (pow x 9)))))) x)>
#<alt (* -8/843908625 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 8/843908625 (* 4/13395375 (/ 1 (pow x 4))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 4/13395375 (* 2/637875 (/ 1 (pow x 4)))) (pow x 4))) 8/843908625))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 2/637875 (* 1/91125 (/ 1 (pow x 4)))) (pow x 8))) (+ 8/843908625 (* 4/13395375 (/ 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 (* (pow x 2) (- (* -2/945 (pow x 7)) 1/45))))>
#<alt (* -1/45 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))>
#<alt (* (pow x 10) (- (/ 1/3 (pow x 9)) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))>
#<alt (* (pow x 10) (- (/ 1/3 (pow x 9)) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))>
#<alt (* -2/945 (pow x 15))>
#<alt (* -1 (* (pow x 15) (- 2/945 (* 1/45 (/ 1 (pow x 5))))))>
#<alt (* -1 (* (pow x 15) (- 2/945 (* 1/45 (/ 1 (pow x 5))))))>
#<alt (* -1 (* (pow x 15) (+ 2/945 (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 9)))) (pow x 5))))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 x)))>
#<alt (* x (+ 1/3 (* 1/45 x)))>
#<alt (* x (+ 1/3 (* 1/45 x)))>
#<alt (* 1/45 (pow x 6))>
#<alt (* (pow x 6) (+ 1/45 (* 1/3 (/ 1 (pow x 5)))))>
#<alt (* (pow x 6) (+ 1/45 (* 1/3 (/ 1 (pow x 5)))))>
#<alt (* (pow x 6) (+ 1/45 (* 1/3 (/ 1 (pow x 5)))))>
#<alt (* -1/45 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))>
#<alt (* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))>
#<alt (* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 1/184528125 x)>
#<alt (* x (+ 1/184528125 (* 2/775018125 (pow x 5))))>
#<alt (* x (+ 1/184528125 (* (pow x 5) (+ 2/775018125 (* 8/16275380625 (pow x 5))))))>
#<alt (* x (+ 1/184528125 (* (pow x 5) (+ 2/775018125 (* (pow x 5) (+ 8/16275380625 (* 16/341782993125 (pow x 5))))))))>
#<alt (* 16/797493650625 (pow x 26))>
#<alt (* (pow x 26) (+ 16/797493650625 (* 32/37975888125 (/ 1 (pow x 4)))))>
#<alt (* (pow x 26) (+ 16/797493650625 (+ (/ 8/602791875 (pow x 8)) (* 32/37975888125 (/ 1 (pow x 4))))))>
#<alt (* (pow x 26) (+ 16/797493650625 (+ (/ 8/602791875 (pow x 8)) (+ (* 32/37975888125 (/ 1 (pow x 4))) (* 8/86113125 (/ 1 (pow x 12)))))))>
#<alt (* 16/797493650625 (pow x 26))>
#<alt (* (pow x 26) (+ 16/797493650625 (* 32/37975888125 (/ 1 (pow x 4)))))>
#<alt (* (pow x 26) (+ 16/797493650625 (+ (/ 8/602791875 (pow x 8)) (* 32/37975888125 (/ 1 (pow x 4))))))>
#<alt (* (pow x 26) (+ 16/797493650625 (+ (/ 8/602791875 (pow x 8)) (+ (* 32/37975888125 (/ 1 (pow x 4))) (* 8/86113125 (/ 1 (pow x 12)))))))>
#<alt 1/45>
#<alt (+ 1/45 (* 2/945 (pow x 3)))>
#<alt (+ 1/45 (* 2/945 (pow x 3)))>
#<alt (+ 1/45 (* 2/945 (pow x 3)))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))>

Calls

42 calls:

Time	Variable		Point	Expression
150.0ms	x	@	inf	(- (* 1/3 x) (* x (* x (* x (+ (* (* x x) 2/945) 1/45)))))
3.0ms	x	@	0	(* (* x (* x (+ (* (* x x) 2/945) 1/45))) (* x (* x (+ (* (* x x) 2/945) 1/45))))
2.0ms	x	@	-inf	(/ (- (* (* x x) 1/9) (* (* x x) (* (* x (* x (+ (* (* x x) 2/945) 1/45))) (* x (* x (+ (* (* x x) 2/945) 1/45)))))) (- (* 1/3 x) (* x (* x (* x (+ (* (* x x) 2/945) 1/45))))))
1.0ms	x	@	-inf	(- (* 1/3 x) (* x (* x (* x (+ (* (* x x) 2/945) 1/45)))))
1.0ms	x	@	inf	(/ (- (* (* x x) 1/9) (* (* x x) (* (* x (* x (+ (* (* x x) 2/945) 1/45))) (* x (* x (+ (* (* x x) 2/945) 1/45)))))) (- (* 1/3 x) (* x (* x (* x (+ (* (* x x) 2/945) 1/45))))))

Compiler

Compiled 540 to 407 computations (24.6% saved)

rewrite486.0ms (2.8%)

Memory

-13.0MiB live, 860.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 994×	`lower-fma.f32`
11 988×	`lower-fma.f64`
5 260×	`lower-*.f32`
5 242×	`lower-*.f64`
3 336×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	174
0	45	137
1	192	110
2	1458	110
0	8717	109

Stop Event

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

Counts

14 → 731

Calls

Call 1

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

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

simplify375.0ms (2.2%)

Memory

38.1MiB live, 708.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 204×	`lower-fma.f64`
11 204×	`lower-fma.f32`
5 368×	`lower-*.f64`
5 368×	`lower-*.f32`
3 312×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	1329
1	746	1328
2	1848	1269
3	4609	1264
0	8177	1212

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 156

Calls

Call 1

Inputs
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 3))))
(* x (+ 1/3 (* 1/45 (pow x 3))))
(* x (+ 1/3 (* 1/45 (pow x 3))))
(* 1/45 (pow x 5))
(* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* -1/45 (pow x 6))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
3
(+ 3 (* -1/5 (pow x 4)))
(+ 3 (* (pow x 4) (- (* 1/75 (pow x 4)) 1/5)))
(+ 3 (* (pow x 4) (- (* (pow x 4) (+ 1/75 (* -1/1125 (pow x 4)))) 1/5)))
(/ 45 (pow x 4))
(/ (- 45 (* 675 (/ 1 (pow x 4)))) (pow x 4))
(/ (- (+ 45 (/ 10125 (pow x 8))) (* 675 (/ 1 (pow x 4)))) (pow x 4))
(/ (- (+ 45 (/ 10125 (pow x 8))) (+ (* 675 (/ 1 (pow x 4))) (* 151875 (/ 1 (pow x 12))))) (pow x 4))
(/ 45 (pow x 4))
(/ (- 45 (* 675 (/ 1 (pow x 4)))) (pow x 4))
(/ (- (+ 45 (/ 10125 (pow x 8))) (* 675 (/ 1 (pow x 4)))) (pow x 4))
(/ (- (+ 45 (/ 10125 (pow x 8))) (+ (* 675 (/ 1 (pow x 4))) (* 151875 (/ 1 (pow x 12))))) (pow x 4))
1/3
(+ 1/3 (* 1/45 (pow x 3)))
(+ 1/3 (* 1/45 (pow x 3)))
(+ 1/3 (* 1/45 (pow x 3)))
(* 1/45 (pow x 4))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* 1/45 (pow x 4))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 3))))
(* (pow x 2) (+ 1/9 (* (pow x 3) (- (* -4/42525 (pow x 2)) 1/2025))))
(* (pow x 2) (+ 1/9 (* (pow x 3) (- (* (pow x 2) (- (* -4/893025 (pow x 2)) 4/42525)) 1/2025))))
(* -8/843908625 (pow x 21))
(* -1 (* (pow x 21) (+ 8/843908625 (* 4/13395375 (/ 1 (pow x 3))))))
(* (pow x 21) (- (* -1 (/ (+ 4/13395375 (* 2/637875 (/ 1 (pow x 3)))) (pow x 3))) 8/843908625))
(* (pow x 21) (- (* -1 (/ (+ 2/637875 (* 1/91125 (/ 1 (pow x 3)))) (pow x 6))) (+ 8/843908625 (* 4/13395375 (/ 1 (pow x 3))))))
(* 8/843908625 (pow x 21))
(* -1 (* (pow x 21) (- (* 4/13395375 (/ 1 (pow x 3))) 8/843908625)))
(* -1 (* (pow x 21) (- (* -1 (/ (- (* 2/637875 (/ 1 (pow x 3))) 4/13395375) (pow x 3))) 8/843908625)))
(* -1 (* (pow x 21) (- (* -1 (/ (- (* -1 (/ (- (* 1/91125 (/ 1 (pow x 3))) 2/637875) (pow x 3))) 4/13395375) (pow x 3))) 8/843908625)))
(* 1/3 x)
(* x (+ 1/3 (* -1/675 (pow x 3))))
(* x (+ 1/3 (* (pow x 3) (- (* -4/14175 (pow x 2)) 1/675))))
(* x (+ 1/3 (* (pow x 3) (- (* (pow x 2) (- (* -4/297675 (pow x 2)) 4/14175)) 1/675))))
(/ 8/18753525 x)
(/ (+ 8/18753525 (* 5276/393824025 (/ 1 (pow x 3)))) x)
(/ (+ 8/18753525 (+ (/ 1156334/8270304525 (pow x 6)) (* 5276/393824025 (/ 1 (pow x 3))))) x)
(/ (+ 8/18753525 (+ (/ 1156334/8270304525 (pow x 6)) (+ (* 5276/393824025 (/ 1 (pow x 3))) (* 83453453/173676395025 (/ 1 (pow x 9)))))) x)
(* -8/843908625 (pow x 8))
(* -1 (* (pow x 8) (+ 8/843908625 (* 4/13395375 (/ 1 (pow x 4))))))
(* (pow x 8) (- (* -1 (/ (+ 4/13395375 (* 2/637875 (/ 1 (pow x 4)))) (pow x 4))) 8/843908625))
(* (pow x 8) (- (* -1 (/ (+ 2/637875 (* 1/91125 (/ 1 (pow x 4)))) (pow x 8))) (+ 8/843908625 (* 4/13395375 (/ 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 (* (pow x 2) (- (* -2/945 (pow x 7)) 1/45))))
(* -1/45 (pow x 10))
(* -1 (* (pow x 10) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))
(* (pow x 10) (- (/ 1/3 (pow x 9)) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))
(* (pow x 10) (- (/ 1/3 (pow x 9)) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))
(* -2/945 (pow x 15))
(* -1 (* (pow x 15) (- 2/945 (* 1/45 (/ 1 (pow x 5))))))
(* -1 (* (pow x 15) (- 2/945 (* 1/45 (/ 1 (pow x 5))))))
(* -1 (* (pow x 15) (+ 2/945 (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 9)))) (pow x 5))))))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 x)))
(* x (+ 1/3 (* 1/45 x)))
(* x (+ 1/3 (* 1/45 x)))
(* 1/45 (pow x 6))
(* (pow x 6) (+ 1/45 (* 1/3 (/ 1 (pow x 5)))))
(* (pow x 6) (+ 1/45 (* 1/3 (/ 1 (pow x 5)))))
(* (pow x 6) (+ 1/45 (* 1/3 (/ 1 (pow x 5)))))
(* -1/45 (pow x 6))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/184528125 x)
(* x (+ 1/184528125 (* 2/775018125 (pow x 5))))
(* x (+ 1/184528125 (* (pow x 5) (+ 2/775018125 (* 8/16275380625 (pow x 5))))))
(* x (+ 1/184528125 (* (pow x 5) (+ 2/775018125 (* (pow x 5) (+ 8/16275380625 (* 16/341782993125 (pow x 5))))))))
(* 16/797493650625 (pow x 26))
(* (pow x 26) (+ 16/797493650625 (* 32/37975888125 (/ 1 (pow x 4)))))
(* (pow x 26) (+ 16/797493650625 (+ (/ 8/602791875 (pow x 8)) (* 32/37975888125 (/ 1 (pow x 4))))))
(* (pow x 26) (+ 16/797493650625 (+ (/ 8/602791875 (pow x 8)) (+ (* 32/37975888125 (/ 1 (pow x 4))) (* 8/86113125 (/ 1 (pow x 12)))))))
(* 16/797493650625 (pow x 26))
(* (pow x 26) (+ 16/797493650625 (* 32/37975888125 (/ 1 (pow x 4)))))
(* (pow x 26) (+ 16/797493650625 (+ (/ 8/602791875 (pow x 8)) (* 32/37975888125 (/ 1 (pow x 4))))))
(* (pow x 26) (+ 16/797493650625 (+ (/ 8/602791875 (pow x 8)) (+ (* 32/37975888125 (/ 1 (pow x 4))) (* 8/86113125 (/ 1 (pow x 12)))))))
1/45
(+ 1/45 (* 2/945 (pow x 3)))
(+ 1/45 (* 2/945 (pow x 3)))
(+ 1/45 (* 2/945 (pow x 3)))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))

Outputs
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/45 (pow x 3))))
(.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 3))))
(.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 3))))
(.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))
(* 1/45 (pow x 5))
(.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 5) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1/45 (pow x 6))
(.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
3
#s(literal 3 binary64)
(+ 3 (* -1/5 (pow x 4)))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/5 binary64) #s(literal 3 binary64))
(+ 3 (* (pow x 4) (- (* 1/75 (pow x 4)) 1/5)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/75 binary64) #s(literal -1/5 binary64)) #s(literal 3 binary64))
(+ 3 (* (pow x 4) (- (* (pow x 4) (+ 1/75 (* -1/1125 (pow x 4)))) 1/5)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/1125 binary64) #s(literal 1/75 binary64)) #s(literal -1/5 binary64)) #s(literal 3 binary64))
(/ 45 (pow x 4))
(/.f64 #s(literal 45 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 45 (* 675 (/ 1 (pow x 4)))) (pow x 4))
(/.f64 (+.f64 #s(literal 45 binary64) (/.f64 #s(literal -675 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 45 (/ 10125 (pow x 8))) (* 675 (/ 1 (pow x 4)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 45 binary64) (/.f64 #s(literal -675 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 10125 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 45 (/ 10125 (pow x 8))) (+ (* 675 (/ 1 (pow x 4))) (* 151875 (/ 1 (pow x 12))))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 10125 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (+.f64 #s(literal 45 binary64) (/.f64 #s(literal -151875 binary64) (pow.f64 x #s(literal 12 binary64)))) (/.f64 #s(literal -675 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (*.f64 x x))))
(/ 45 (pow x 4))
(/.f64 #s(literal 45 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 45 (* 675 (/ 1 (pow x 4)))) (pow x 4))
(/.f64 (+.f64 #s(literal 45 binary64) (/.f64 #s(literal -675 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 45 (/ 10125 (pow x 8))) (* 675 (/ 1 (pow x 4)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 45 binary64) (/.f64 #s(literal -675 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 10125 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 45 (/ 10125 (pow x 8))) (+ (* 675 (/ 1 (pow x 4))) (* 151875 (/ 1 (pow x 12))))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 10125 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (+.f64 #s(literal 45 binary64) (/.f64 #s(literal -151875 binary64) (pow.f64 x #s(literal 12 binary64)))) (/.f64 #s(literal -675 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (*.f64 x x))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 3)))
(fma.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x x)) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 3)))
(fma.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x x)) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 3)))
(fma.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x x)) #s(literal 1/3 binary64))
(* 1/45 (pow x 4))
(.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x))) #s(literal 1/3 binary64))
(* 1/45 (pow x 4))
(.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/45 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x))) #s(literal 1/3 binary64))
x
x
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)
(* 1/9 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 3))))
(.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* (pow x 3) (- (* -4/42525 (pow x 2)) 1/2025))))
(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal -4/42525 binary64)) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* (pow x 3) (- (* (pow x 2) (- (* -4/893025 (pow x 2)) 4/42525)) 1/2025))))
(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4/893025 binary64)) #s(literal -4/42525 binary64))) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64)))
(* -8/843908625 (pow x 21))
(*.f64 #s(literal -8/843908625 binary64) (pow.f64 x #s(literal 21 binary64)))
(* -1 (* (pow x 21) (+ 8/843908625 (* 4/13395375 (/ 1 (pow x 3))))))
(.f64 (pow.f64 x #s(literal 21 binary64)) (+.f64 #s(literal -8/843908625 binary64) (/.f64 #s(literal -4/13395375 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 21) (- (* -1 (/ (+ 4/13395375 (* 2/637875 (/ 1 (pow x 3)))) (pow x 3))) 8/843908625))
(.f64 (pow.f64 x #s(literal 21 binary64)) (+.f64 #s(literal -8/843908625 binary64) (/.f64 (+.f64 #s(literal -4/13395375 binary64) (/.f64 #s(literal -2/637875 binary64) (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x)))))
(* (pow x 21) (- (* -1 (/ (+ 2/637875 (* 1/91125 (/ 1 (pow x 3)))) (pow x 6))) (+ 8/843908625 (* 4/13395375 (/ 1 (pow x 3))))))
(.f64 (pow.f64 x #s(literal 21 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -2/637875 binary64) (/.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -8/843908625 binary64) (/.f64 #s(literal -4/13395375 binary64) (.f64 x (.f64 x x))))))
(* 8/843908625 (pow x 21))
(*.f64 (pow.f64 x #s(literal 21 binary64)) #s(literal 8/843908625 binary64))
(* -1 (* (pow x 21) (- (* 4/13395375 (/ 1 (pow x 3))) 8/843908625)))
(.f64 (pow.f64 x #s(literal 21 binary64)) (+.f64 #s(literal 8/843908625 binary64) (/.f64 #s(literal -4/13395375 binary64) (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 21) (- (* -1 (/ (- (* 2/637875 (/ 1 (pow x 3))) 4/13395375) (pow x 3))) 8/843908625)))
(.f64 (pow.f64 x #s(literal 21 binary64)) (-.f64 #s(literal 8/843908625 binary64) (/.f64 (+.f64 #s(literal 4/13395375 binary64) (/.f64 #s(literal -2/637875 binary64) (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 21) (- (* -1 (/ (- (* -1 (/ (- (* 1/91125 (/ 1 (pow x 3))) 2/637875) (pow x 3))) 4/13395375) (pow x 3))) 8/843908625)))
(.f64 (pow.f64 x #s(literal 21 binary64)) (+.f64 #s(literal 8/843908625 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2/637875 binary64) (/.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) #s(literal -4/13395375 binary64)) (.f64 x (*.f64 x x)))))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* -1/675 (pow x 3))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal -1/675 binary64))) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 3) (- (* -4/14175 (pow x 2)) 1/675))))
(.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal -4/14175 binary64)) #s(literal -1/675 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 3) (- (* (pow x 2) (- (* -4/297675 (pow x 2)) 4/14175)) 1/675))))
(.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/297675 binary64) #s(literal -4/14175 binary64)) #s(literal -1/675 binary64)) #s(literal 1/3 binary64)))
(/ 8/18753525 x)
(/.f64 #s(literal 8/18753525 binary64) x)
(/ (+ 8/18753525 (* 5276/393824025 (/ 1 (pow x 3)))) x)
(/.f64 (+.f64 #s(literal 8/18753525 binary64) (/.f64 #s(literal 5276/393824025 binary64) (.f64 x (.f64 x x)))) x)
(/ (+ 8/18753525 (+ (/ 1156334/8270304525 (pow x 6)) (* 5276/393824025 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 8/18753525 binary64) (/.f64 #s(literal 5276/393824025 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1156334/8270304525 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))) x)
(/ (+ 8/18753525 (+ (/ 1156334/8270304525 (pow x 6)) (+ (* 5276/393824025 (/ 1 (pow x 3))) (* 83453453/173676395025 (/ 1 (pow x 9)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1156334/8270304525 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (+.f64 #s(literal 8/18753525 binary64) (/.f64 #s(literal 5276/393824025 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 83453453/173676395025 binary64) (pow.f64 x #s(literal 9 binary64))))) x)
(* -8/843908625 (pow x 8))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -8/843908625 binary64))
(* -1 (* (pow x 8) (+ 8/843908625 (* 4/13395375 (/ 1 (pow x 4))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -8/843908625 binary64) (/.f64 #s(literal -4/13395375 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 8) (- (* -1 (/ (+ 4/13395375 (* 2/637875 (/ 1 (pow x 4)))) (pow x 4))) 8/843908625))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -8/843908625 binary64) (/.f64 (+.f64 #s(literal -4/13395375 binary64) (/.f64 #s(literal -2/637875 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 8) (- (* -1 (/ (+ 2/637875 (* 1/91125 (/ 1 (pow x 4)))) (pow x 8))) (+ 8/843908625 (* 4/13395375 (/ 1 (pow x 4))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -8/843908625 binary64) (+.f64 (/.f64 #s(literal -4/13395375 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal -2/637875 binary64) (/.f64 #s(literal -1/91125 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* -1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* -1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (- (* -2/945 (pow x 7)) 1/45))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal -2/945 binary64) (pow.f64 x #s(literal 7 binary64)) #s(literal -1/45 binary64)) #s(literal 1/3 binary64)))
(* -1/45 (pow x 10))
(.f64 #s(literal -1/45 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* (pow x 10) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal -2/945 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 10) (- (/ 1/3 (pow x 9)) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -2/945 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 10) (- (/ 1/3 (pow x 9)) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -2/945 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -2/945 (pow x 15))
(*.f64 #s(literal -2/945 binary64) (pow.f64 x #s(literal 15 binary64)))
(* -1 (* (pow x 15) (- 2/945 (* 1/45 (/ 1 (pow x 5))))))
(.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 #s(literal -2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 15) (- 2/945 (* 1/45 (/ 1 (pow x 5))))))
(.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 #s(literal -2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 15) (+ 2/945 (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 9)))) (pow x 5))))))
(.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 #s(literal -2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/9 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(* 1/9 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(* 1/9 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(* 1/9 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/9 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)
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/45 x)))
(*.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 x)))
(*.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 x)))
(*.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* 1/45 (pow x 6))
(.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/45 (* 1/3 (/ 1 (pow x 5)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (+ 1/45 (* 1/3 (/ 1 (pow x 5)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (+ 1/45 (* 1/3 (/ 1 (pow x 5)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(* -1/45 (pow x 6))
(.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 5))) 1/45))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
x
x
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 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 1/184528125 x)
(*.f64 x #s(literal 1/184528125 binary64))
(* x (+ 1/184528125 (* 2/775018125 (pow x 5))))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2/775018125 binary64) #s(literal 1/184528125 binary64)))
(* x (+ 1/184528125 (* (pow x 5) (+ 2/775018125 (* 8/16275380625 (pow x 5))))))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 8/16275380625 binary64) #s(literal 2/775018125 binary64)) #s(literal 1/184528125 binary64)))
(* x (+ 1/184528125 (* (pow x 5) (+ 2/775018125 (* (pow x 5) (+ 8/16275380625 (* 16/341782993125 (pow x 5))))))))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 16/341782993125 binary64) #s(literal 8/16275380625 binary64)) #s(literal 2/775018125 binary64)) #s(literal 1/184528125 binary64)))
(* 16/797493650625 (pow x 26))
(*.f64 #s(literal 16/797493650625 binary64) (pow.f64 x #s(literal 26 binary64)))
(* (pow x 26) (+ 16/797493650625 (* 32/37975888125 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 26 binary64)) (+.f64 #s(literal 16/797493650625 binary64) (/.f64 #s(literal 32/37975888125 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 26) (+ 16/797493650625 (+ (/ 8/602791875 (pow x 8)) (* 32/37975888125 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 26 binary64)) (+.f64 #s(literal 16/797493650625 binary64) (+.f64 (/.f64 #s(literal 32/37975888125 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 8/602791875 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(* (pow x 26) (+ 16/797493650625 (+ (/ 8/602791875 (pow x 8)) (+ (* 32/37975888125 (/ 1 (pow x 4))) (* 8/86113125 (/ 1 (pow x 12)))))))
(.f64 (pow.f64 x #s(literal 26 binary64)) (+.f64 #s(literal 16/797493650625 binary64) (+.f64 (/.f64 #s(literal 8/602791875 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 32/37975888125 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 8/86113125 binary64) (pow.f64 x #s(literal 12 binary64)))))))
(* 16/797493650625 (pow x 26))
(*.f64 #s(literal 16/797493650625 binary64) (pow.f64 x #s(literal 26 binary64)))
(* (pow x 26) (+ 16/797493650625 (* 32/37975888125 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 26 binary64)) (+.f64 #s(literal 16/797493650625 binary64) (/.f64 #s(literal 32/37975888125 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 26) (+ 16/797493650625 (+ (/ 8/602791875 (pow x 8)) (* 32/37975888125 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 26 binary64)) (+.f64 #s(literal 16/797493650625 binary64) (+.f64 (/.f64 #s(literal 32/37975888125 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 8/602791875 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
(* (pow x 26) (+ 16/797493650625 (+ (/ 8/602791875 (pow x 8)) (+ (* 32/37975888125 (/ 1 (pow x 4))) (* 8/86113125 (/ 1 (pow x 12)))))))
(.f64 (pow.f64 x #s(literal 26 binary64)) (+.f64 #s(literal 16/797493650625 binary64) (+.f64 (/.f64 #s(literal 8/602791875 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 32/37975888125 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 8/86113125 binary64) (pow.f64 x #s(literal 12 binary64)))))))
1/45
#s(literal 1/45 binary64)
(+ 1/45 (* 2/945 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(+ 1/45 (* 2/945 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(+ 1/45 (* 2/945 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* 2/945 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 2/945 binary64))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* 2/945 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 2/945 binary64))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 2/945 binary64) #s(literal 1/45 binary64))

eval153.0ms (0.9%)

Memory: 19.6MiB live, 320.8MiB allocated
Compiler: Compiled 56 731 to 2 899 computations (94.9% saved)

prune164.0ms (1%)

Memory

-36.0MiB live, 259.2MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 096	2	1 098
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	1 098	7	1 105

Accuracy

100.0%

Counts

1 105 → 7

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))
▶	54.1%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x #s(literal 1/45 binary64)))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))))
▶	99.4%	(/.f64 x #s(literal 3 binary64))
✓	99.5%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	99.4%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	98.9%	(*.f64 #s(literal 1/3 binary64) x)
✓	3.8%	(neg.f64 x)

Compiler

Compiled 89 to 49 computations (44.9% saved)

simplify170.0ms (1%)

Memory

20.4MiB live, 252.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/9 binary64))
✓	cost-diff	448	(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))))
✓	cost-diff	640	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x #s(literal 1/45 binary64)))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))))
✓	cost-diff	768	(-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x #s(literal 1/45 binary64))))))
✓	cost-diff	0	(/.f64 x #s(literal 3 binary64))

Rules

5 286×	`lower-*.f32`
5 266×	`lower-*.f64`
4 772×	`lower-fma.f32`
4 770×	`lower-fma.f64`
1 420×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	186
0	37	178
1	83	174
2	270	162
3	1480	152
4	6395	152
0	8144	148

Stop Event

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

Calls

Call 1

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

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

localize70.0ms (0.4%)

Memory

15.1MiB live, 93.6MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	5.1%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x #s(literal 1/45 binary64)))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))))
✓	accuracy	4.3%	(-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x #s(literal 1/45 binary64))))))
✓	accuracy	3.7%	(.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x #s(literal 1/45 binary64))))
✓	accuracy	3.5%	(.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x #s(literal 1/45 binary64)))))
✓	accuracy	5.4%	(/.f64 x #s(literal 3 binary64))

Samples

47.0ms

256×

valid

Compiler

Compiled 385 to 45 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 15.0ms (43.7% of total)

const: 11.0ms (32.1% of total)

ival-div: 5.0ms (14.6% of total)

ival-sub: 2.0ms (5.8% of total)

ival-add: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.1%)

Memory

-7.2MiB live, 30.7MiB allocated

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (/.f64 x #s(literal 3 binary64))>
#<alt (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x #s(literal 1/45 binary64))))))>
#<alt (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x #s(literal 1/45 binary64)))))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))))>
#<alt (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))))>
#<alt (.f64 (.f64 x x) #s(literal 1/9 binary64))>
#<alt (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x #s(literal 1/45 binary64)))))>
#<alt (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (.f64 x (.f64 x #s(literal 1/45 binary64))))>

Outputs
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/42525 (pow x 2)) 1/2025))))>
#<alt (* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/42525 (pow x 2)) 1/2025))))>
#<alt (* -2/42525 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 2/42525 (* 1/2025 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 14) (+ 2/42525 (* 1/2025 (/ 1 (pow x 3))))))>
#<alt (* (pow x 14) (- (/ 1/9 (pow x 11)) (+ 2/42525 (* 1/2025 (/ 1 (pow x 3))))))>
#<alt (* -2/42525 (pow x 14))>
#<alt (* (pow x 14) (- (* 1/2025 (/ 1 (pow x 3))) 2/42525))>
#<alt (* (pow x 14) (- (* 1/2025 (/ 1 (pow x 3))) 2/42525))>
#<alt (* (pow x 14) (- (* -1 (/ (- (* 1/9 (/ 1 (pow x 8))) 1/2025) (pow x 3))) 2/42525))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/675 (pow x 4))))>
#<alt (* x (+ 1/3 (* (pow x 4) (- (* -2/14175 (pow x 2)) 1/675))))>
#<alt (* x (+ 1/3 (* (pow x 4) (- (* -2/14175 (pow x 2)) 1/675))))>
#<alt (/ 2/945 (pow x 8))>
#<alt (/ (+ 2/945 (* 437/19845 (/ 1 (pow x 3)))) (pow x 8))>
#<alt (/ (- (+ 2/945 (* 437/19845 (/ 1 (pow x 3)))) (/ 874/416745 (pow x 6))) (pow x 8))>
#<alt (/ (- (+ 2/945 (+ (* 437/19845 (/ 1 (pow x 3))) (* 1748/8751645 (/ 1 (pow x 9))))) (/ 874/416745 (pow x 6))) (pow x 8))>
#<alt (/ 1/45 (pow x 5))>
#<alt (/ 1/45 (pow x 5))>
#<alt (* -1 (/ (- (* 105/2 (/ 1 (pow x 12))) 1/45) (pow x 5)))>
#<alt (* -1 (/ (- (* 105/2 (/ 1 (pow x 12))) (+ 1/45 (/ 2205/4 (pow x 16)))) (pow x 5)))>
#<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 (* (pow x 2) (- (* -2/945 (pow x 7)) 1/45))))>
#<alt (* -1/45 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))>
#<alt (* (pow x 10) (- (/ 1/3 (pow x 9)) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))>
#<alt (* (pow x 10) (- (/ 1/3 (pow x 9)) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))>
#<alt (* -2/945 (pow x 15))>
#<alt (* -1 (* (pow x 15) (- 2/945 (* 1/45 (/ 1 (pow x 5))))))>
#<alt (* -1 (* (pow x 15) (- 2/945 (* 1/45 (/ 1 (pow x 5))))))>
#<alt (* -1 (* (pow x 15) (+ 2/945 (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 9)))) (pow x 5))))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (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 (* 1/2025 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))>
#<alt (* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))>
#<alt (* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))>
#<alt (* 2/42525 (pow x 13))>
#<alt (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))>
#<alt (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))>
#<alt (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))>
#<alt (* -2/42525 (pow x 13))>
#<alt (* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))>
#<alt (* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))>
#<alt (* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))>
#<alt (* 2/42525 (pow x 13))>
#<alt (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))>
#<alt (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))>
#<alt (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))>
#<alt (* -2/42525 (pow x 13))>
#<alt (* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))>

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (- (* (* x x) 1/9) (* (* x x) (* (* x (* x (+ (* (* x x) 2/945) 1/45))) (* x (* x 1/45))))) (- (* 1/3 x) (* x (* x (* x (+ (* (* x x) 2/945) 1/45))))))
3.0ms	x	@	-inf	(/ (- (* (* x x) 1/9) (* (* x x) (* (* x (* x (+ (* (* x x) 2/945) 1/45))) (* x (* x 1/45))))) (- (* 1/3 x) (* x (* x (* x (+ (* (* x x) 2/945) 1/45))))))
1.0ms	x	@	inf	(* (* x x) (* (* x (* x (+ (* (* x x) 2/945) 1/45))) (* x (* x 1/45))))
1.0ms	x	@	-inf	(* (* x x) (* (* x (* x (+ (* (* x x) 2/945) 1/45))) (* x (* x 1/45))))
1.0ms	x	@	-inf	(* (* x (* x (+ (* (* x x) 2/945) 1/45))) (* x (* x 1/45)))

Compiler

Compiled 377 to 269 computations (28.6% saved)

rewrite443.0ms (2.6%)

Memory

25.7MiB live, 573.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 348×	`lower-fma.f32`
9 346×	`lower-fma.f64`
5 794×	`lower-*.f32`
5 774×	`lower-*.f64`
3 860×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	129
0	37	121
1	137	117
2	1071	101
0	8464	101

Stop Event

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

Counts

7 → 635

Calls

Call 1

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

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

simplify352.0ms (2.1%)

Memory

-25.4MiB live, 442.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 178×	`lower-fma.f64`
11 178×	`lower-fma.f32`
4 674×	`lower-*.f64`
4 674×	`lower-*.f32`
2 212×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	716
1	373	715
2	940	710
3	2193	700
4	4814	700
0	8097	680

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 80

Calls

Call 1

Inputs
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/42525 (pow x 2)) 1/2025))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/42525 (pow x 2)) 1/2025))))
(* -2/42525 (pow x 14))
(* -1 (* (pow x 14) (+ 2/42525 (* 1/2025 (/ 1 (pow x 3))))))
(* -1 (* (pow x 14) (+ 2/42525 (* 1/2025 (/ 1 (pow x 3))))))
(* (pow x 14) (- (/ 1/9 (pow x 11)) (+ 2/42525 (* 1/2025 (/ 1 (pow x 3))))))
(* -2/42525 (pow x 14))
(* (pow x 14) (- (* 1/2025 (/ 1 (pow x 3))) 2/42525))
(* (pow x 14) (- (* 1/2025 (/ 1 (pow x 3))) 2/42525))
(* (pow x 14) (- (* -1 (/ (- (* 1/9 (/ 1 (pow x 8))) 1/2025) (pow x 3))) 2/42525))
(* 1/3 x)
(* x (+ 1/3 (* -1/675 (pow x 4))))
(* x (+ 1/3 (* (pow x 4) (- (* -2/14175 (pow x 2)) 1/675))))
(* x (+ 1/3 (* (pow x 4) (- (* -2/14175 (pow x 2)) 1/675))))
(/ 2/945 (pow x 8))
(/ (+ 2/945 (* 437/19845 (/ 1 (pow x 3)))) (pow x 8))
(/ (- (+ 2/945 (* 437/19845 (/ 1 (pow x 3)))) (/ 874/416745 (pow x 6))) (pow x 8))
(/ (- (+ 2/945 (+ (* 437/19845 (/ 1 (pow x 3))) (* 1748/8751645 (/ 1 (pow x 9))))) (/ 874/416745 (pow x 6))) (pow x 8))
(/ 1/45 (pow x 5))
(/ 1/45 (pow x 5))
(* -1 (/ (- (* 105/2 (/ 1 (pow x 12))) 1/45) (pow x 5)))
(* -1 (/ (- (* 105/2 (/ 1 (pow x 12))) (+ 1/45 (/ 2205/4 (pow x 16)))) (pow x 5)))
(* 1/3 x)
(* x (+ 1/3 (* -1/45 (pow x 2))))
(* x (+ 1/3 (* -1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (- (* -2/945 (pow x 7)) 1/45))))
(* -1/45 (pow x 10))
(* -1 (* (pow x 10) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))
(* (pow x 10) (- (/ 1/3 (pow x 9)) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))
(* (pow x 10) (- (/ 1/3 (pow x 9)) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))
(* -2/945 (pow x 15))
(* -1 (* (pow x 15) (- 2/945 (* 1/45 (/ 1 (pow x 5))))))
(* -1 (* (pow x 15) (- 2/945 (* 1/45 (/ 1 (pow x 5))))))
(* -1 (* (pow x 15) (+ 2/945 (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 9)))) (pow x 5))))))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (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)
(* 1/2025 (pow x 2))
(* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))
(* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))
(* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))
(* 2/42525 (pow x 13))
(* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))
(* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))
(* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))
(* -2/42525 (pow x 13))
(* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))
(* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))
(* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))
(* 1/2025 (pow x 2))
(* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))
(* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))
(* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))
(* 2/42525 (pow x 13))
(* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))
(* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))
(* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))
(* -2/42525 (pow x 13))
(* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))
(* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))
(* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))

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)
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 1/9 (pow x 2))
(.f64 #s(literal 1/9 binary64) (.f64 x x))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2025 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/42525 (pow x 2)) 1/2025))))
(.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -2/42525 binary64) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/42525 (pow x 2)) 1/2025))))
(.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -2/42525 binary64) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64)))
(* -2/42525 (pow x 14))
(*.f64 #s(literal -2/42525 binary64) (pow.f64 x #s(literal 14 binary64)))
(* -1 (* (pow x 14) (+ 2/42525 (* 1/2025 (/ 1 (pow x 3))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -2/42525 binary64) (/.f64 #s(literal -1/2025 binary64) (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 14) (+ 2/42525 (* 1/2025 (/ 1 (pow x 3))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -2/42525 binary64) (/.f64 #s(literal -1/2025 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 14) (- (/ 1/9 (pow x 11)) (+ 2/42525 (* 1/2025 (/ 1 (pow x 3))))))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (+.f64 #s(literal -2/42525 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 11 binary64)))) (/.f64 #s(literal -1/2025 binary64) (.f64 x (*.f64 x x)))))
(* -2/42525 (pow x 14))
(*.f64 #s(literal -2/42525 binary64) (pow.f64 x #s(literal 14 binary64)))
(* (pow x 14) (- (* 1/2025 (/ 1 (pow x 3))) 2/42525))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -2/42525 binary64) (/.f64 #s(literal 1/2025 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 14) (- (* 1/2025 (/ 1 (pow x 3))) 2/42525))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -2/42525 binary64) (/.f64 #s(literal 1/2025 binary64) (.f64 x (*.f64 x x)))))
(* (pow x 14) (- (* -1 (/ (- (* 1/9 (/ 1 (pow x 8))) 1/2025) (pow x 3))) 2/42525))
(.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -2/42525 binary64) (/.f64 (+.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) x))) (.f64 x (.f64 x x)))))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* -1/675 (pow x 4))))
(.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/675 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 4) (- (* -2/14175 (pow x 2)) 1/675))))
(.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -2/14175 binary64) #s(literal -1/675 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 4) (- (* -2/14175 (pow x 2)) 1/675))))
(.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -2/14175 binary64) #s(literal -1/675 binary64)) #s(literal 1/3 binary64)))
(/ 2/945 (pow x 8))
(/.f64 #s(literal 2/945 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))) x))
(/ (+ 2/945 (* 437/19845 (/ 1 (pow x 3)))) (pow x 8))
(/.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 437/19845 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))) x))
(/ (- (+ 2/945 (* 437/19845 (/ 1 (pow x 3)))) (/ 874/416745 (pow x 6))) (pow x 8))
(/.f64 (+.f64 #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 437/19845 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -874/416745 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) x))
(/ (- (+ 2/945 (+ (* 437/19845 (/ 1 (pow x 3))) (* 1748/8751645 (/ 1 (pow x 9))))) (/ 874/416745 (pow x 6))) (pow x 8))
(/.f64 (-.f64 (/.f64 #s(literal 437/19845 binary64) (.f64 x (.f64 x x))) (-.f64 (+.f64 (/.f64 #s(literal 874/416745 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -2/945 binary64)) (/.f64 #s(literal 1748/8751645 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) x))
(/ 1/45 (pow x 5))
(/.f64 #s(literal 1/45 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x x))))
(/ 1/45 (pow x 5))
(/.f64 #s(literal 1/45 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x x))))
(* -1 (/ (- (* 105/2 (/ 1 (pow x 12))) 1/45) (pow x 5)))
(/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -105/2 binary64) (pow.f64 x #s(literal 12 binary64)))) (.f64 x (.f64 (.f64 x x) (.f64 x x))))
(* -1 (/ (- (* 105/2 (/ 1 (pow x 12))) (+ 1/45 (/ 2205/4 (pow x 16)))) (pow x 5)))
(/.f64 (+.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 2205/4 binary64) (pow.f64 x #s(literal 16 binary64)))) (/.f64 #s(literal -105/2 binary64) (pow.f64 x #s(literal 12 binary64)))) (.f64 x (.f64 (.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 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* -1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (- (* -2/945 (pow x 7)) 1/45))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal -2/945 binary64) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/45 binary64)) #s(literal 1/3 binary64)))
(* -1/45 (pow x 10))
(*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 10 binary64)))
(* -1 (* (pow x 10) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal -2/945 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 10) (- (/ 1/3 (pow x 9)) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 10) (- (/ 1/3 (pow x 9)) (+ 1/45 (* 2/945 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* -2/945 (pow x 15))
(*.f64 #s(literal -2/945 binary64) (pow.f64 x #s(literal 15 binary64)))
(* -1 (* (pow x 15) (- 2/945 (* 1/45 (/ 1 (pow x 5))))))
(.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 #s(literal -2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 (* (pow x 15) (- 2/945 (* 1/45 (/ 1 (pow x 5))))))
(.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 #s(literal -2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 (* (pow x 15) (+ 2/945 (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 9)))) (pow x 5))))))
(.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 #s(literal -2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (.f64 x (.f64 (.f64 x x) (*.f64 x x))))))
(* 1/9 (pow x 2))
(.f64 #s(literal 1/9 binary64) (.f64 x x))
(* 1/9 (pow x 2))
(.f64 #s(literal 1/9 binary64) (.f64 x x))
(* 1/9 (pow x 2))
(.f64 #s(literal 1/9 binary64) (.f64 x x))
(* 1/9 (pow x 2))
(.f64 #s(literal 1/9 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))
(.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x #s(literal 2/42525 binary64)) #s(literal 1/2025 binary64)))
(* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))
(.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x #s(literal 2/42525 binary64)) #s(literal 1/2025 binary64)))
(* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))
(.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x #s(literal 2/42525 binary64)) #s(literal 1/2025 binary64)))
(* 2/42525 (pow x 13))
(*.f64 #s(literal 2/42525 binary64) (pow.f64 x #s(literal 13 binary64)))
(* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal 2/42525 binary64) (/.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal 2/42525 binary64) (/.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal 2/42525 binary64) (/.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* -2/42525 (pow x 13))
(*.f64 #s(literal -2/42525 binary64) (pow.f64 x #s(literal 13 binary64)))
(* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -2/42525 binary64) (/.f64 #s(literal -1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -2/42525 binary64) (/.f64 #s(literal -1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -2/42525 binary64) (/.f64 #s(literal -1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))
(.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x #s(literal 2/42525 binary64)) #s(literal 1/2025 binary64)))
(* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))
(.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x #s(literal 2/42525 binary64)) #s(literal 1/2025 binary64)))
(* (pow x 2) (+ 1/2025 (* 2/42525 (pow x 5))))
(.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x #s(literal 2/42525 binary64)) #s(literal 1/2025 binary64)))
(* 2/42525 (pow x 13))
(*.f64 #s(literal 2/42525 binary64) (pow.f64 x #s(literal 13 binary64)))
(* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal 2/42525 binary64) (/.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal 2/42525 binary64) (/.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal 2/42525 binary64) (/.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* -2/42525 (pow x 13))
(*.f64 #s(literal -2/42525 binary64) (pow.f64 x #s(literal 13 binary64)))
(* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -2/42525 binary64) (/.f64 #s(literal -1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -2/42525 binary64) (/.f64 #s(literal -1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* -1 (* (pow x 13) (+ 2/42525 (* 1/2025 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -2/42525 binary64) (/.f64 #s(literal -1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))))

eval100.0ms (0.6%)

Memory: 40.6MiB live, 191.6MiB allocated
Compiler: Compiled 52 062 to 2 113 computations (95.9% saved)

prune85.0ms (0.5%)

Memory

-12.0MiB live, 186.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	714	1	715
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	715	7	722

Accuracy

100.0%

Counts

722 → 7

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))
	54.1%	(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9 binary64))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))))
✓	99.4%	(/.f64 x #s(literal 3 binary64))
✓	99.5%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	99.4%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	98.9%	(*.f64 #s(literal 1/3 binary64) x)
✓	3.8%	(neg.f64 x)

Compiler

Compiled 257 to 94 computations (63.4% saved)

regimes7.0ms (0%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

11 → 1

Calls

Call 1

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

Calls

2 calls:

4.0ms	x
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0%)

Memory

-27.6MiB live, 9.7MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.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 (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)))

Outputs
(.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)))

Calls

2 calls:

5.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	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

9.3MiB live, 9.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.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))

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 x)

Outputs
(neg.f64 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
3.8%	1	`x`
3.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (0%)

Memory

-25.2MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	41
1	29	41
2	31	41
3	32	41

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness988.0ms (5.8%)

Memory

-23.9MiB live, 564.8MiB allocated

Rules

18 970×	`lower-fma.f64`
18 970×	`lower-fma.f32`
11 204×	`lower-fma.f64`
11 204×	`lower-fma.f32`
8 508×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	680
1	231	678
2	479	630
3	883	630
4	1858	616
5	4702	602
0	8014	561
0	280	1329
1	746	1328
2	1848	1269
3	4609	1264
0	8177	1212
0	13	56
0	25	56
1	97	56
2	653	56
3	6329	56
0	8158	56
0	67	324
1	179	324
2	458	318
3	1321	318
4	2085	318
5	3083	318
6	3670	318
7	3941	318
8	5080	318
9	7268	318
0	8431	300

Stop Event

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

Compiler

Compiled 131 to 80 computations (38.9% saved)

preprocess55.0ms (0.3%)

Memory: 31.5MiB live, 107.0MiB allocated
Remove: (negabs x)
Compiler: Compiled 218 to 132 computations (39.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

analyze5.0ms (0%)

sample10.2s (59.6%)

preprocess64.0ms (0.4%)

explain488.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize244.0ms (1.4%)

series6.0ms (0%)

rewrite195.0ms (1.1%)

simplify684.0ms (4%)

eval79.0ms (0.5%)

prune113.0ms (0.7%)

simplify11.0ms (0.1%)

localize67.0ms (0.4%)

series13.0ms (0.1%)

rewrite419.0ms (2.4%)

simplify442.0ms (2.6%)

eval61.0ms (0.4%)

prune50.0ms (0.3%)

simplify179.0ms (1%)

localize114.0ms (0.7%)

series174.0ms (1%)

rewrite486.0ms (2.8%)

simplify375.0ms (2.2%)

eval153.0ms (0.9%)

prune164.0ms (1%)

simplify170.0ms (1%)

localize70.0ms (0.4%)

series18.0ms (0.1%)

rewrite443.0ms (2.6%)

simplify352.0ms (2.1%)

eval100.0ms (0.6%)

prune85.0ms (0.5%)

regimes7.0ms (0%)

regimes7.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify8.0ms (0%)

soundness988.0ms (5.8%)

preprocess55.0ms (0.3%)

end0.0ms (0%)

Profiling

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

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