Metrics for invcot (example 3.9)

analyze5.0ms (0%)

Memory

12.8MiB live, 12.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample9.4s (56.7%)

Memory

96.9MiB live, 10 806.9MiB allocated

Samples

7.5s	3 817×	2	valid
1.5s	4 332×	1	valid
11.0ms	107×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.7s

ival-tan: 7.3s (83.3% of total)

const: 541.0ms (6.2% of total)

ival-div: 496.0ms (5.7% of total)

adjust: 231.0ms (2.6% of total)

ival-sub: 109.0ms (1.2% of total)

ival-<: 65.0ms (0.7% of total)

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

exact: 5.0ms (0.1% of total)

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

Bogosity

preprocess45.0ms (0.3%)

Memory

-13.5MiB live, 39.8MiB 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)

explain507.0ms (3.1%)

Memory

9.9MiB live, 643.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

338.0ms	240×	2	valid
59.0ms	266×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 373.0ms

ival-tan: 334.0ms (89.5% of total)

ival-div: 21.0ms (5.6% of total)

adjust: 11.0ms (2.9% of total)

ival-sub: 6.0ms (1.6% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify15.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB 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)

localize263.0ms (1.6%)

Memory

-9.5MiB live, 337.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	accuracy	6.5%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Samples

222.0ms	120×	2	valid
30.0ms	133×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 241.0ms

ival-tan: 195.0ms (80.9% of total)

adjust: 33.0ms (13.7% of total)

ival-div: 10.0ms (4.1% of total)

ival-sub: 3.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite195.0ms (1.2%)

Memory

-21.5MiB live, 337.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 277

Calls

Call 1

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

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

simplify448.0ms (2.7%)

Memory

25.7MiB live, 651.6MiB 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))

eval41.0ms (0.2%)

Memory: 17.4MiB live, 95.4MiB allocated
Compiler: Compiled 5 981 to 755 computations (87.4% saved)

prune39.0ms (0.2%)

Memory

-17.1MiB live, 95.4MiB 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)

simplify15.0ms (0.1%)

Memory

29.6MiB live, 29.6MiB 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)

localize63.0ms (0.4%)

Memory

-18.4MiB live, 131.6MiB allocated

Localize:

Found 8 expressions of interest:

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

Samples

38.0ms

256×

valid

Compiler

Compiled 74 to 18 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

const: 13.0ms (45.3% of total)

ival-mult: 12.0ms (41.8% of total)

ival-add: 3.0ms (10.5% of total)

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

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

series8.0ms (0%)

Memory

18.6MiB live, 18.6MiB 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 (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/45>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (* 2/945 (pow x 2))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 2))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>

Calls

27 calls:

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

rewrite415.0ms (2.5%)

Memory

-6.2MiB live, 594.9MiB 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))))
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(/.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)) #s(literal 1 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 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 8/76901173453125 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 (.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)) #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)) (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 (.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)) #s(literal 1 binary64)) (.f64 (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))) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 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)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #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 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)

simplify464.0ms (2.8%)

Memory

-13.9MiB live, 386.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 042×	`lower-fma.f64`
11 042×	`lower-fma.f32`
3 760×	`lower-*.f64`
3 760×	`lower-*.f32`
2 556×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	638
1	148	638
2	365	638
3	829	638
4	1737	638
5	4356	638
6	7780	638
0	8136	581

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval93.0ms (0.6%)

Memory: 10.0MiB live, 163.0MiB allocated
Compiler: Compiled 16 475 to 1 268 computations (92.3% saved)

prune46.0ms (0.3%)

Memory

34.7MiB live, 151.6MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	497	3	500
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	497	6	503

Accuracy

100.0%

Counts

503 → 6

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)

Compiler

Compiled 98 to 50 computations (49% saved)

simplify173.0ms (1%)

Memory

-35.0MiB live, 337.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

4 390×	`lower-*.f32`
4 372×	`lower-*.f64`
4 138×	`lower-fma.f32`
4 132×	`lower-fma.f64`
1 404×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	248
0	43	238
1	103	218
2	334	218
3	1732	206
4	6064	204
0	8351	200

Stop Event

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

Calls

Call 1

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

localize94.0ms (0.6%)

Memory

21.9MiB live, 218.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/9 binary64))
✓	accuracy	99.5%	(.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) x)
✓	accuracy	54.0%	(/.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	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))

Samples

56.0ms

256×

valid

Compiler

Compiled 268 to 28 computations (89.6% saved)

Precisions

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

ival-mult: 16.0ms (38.3% of total)

const: 15.0ms (35.9% of total)

ival-div: 5.0ms (12% of total)

ival-add: 3.0ms (7.2% of total)

ival-sub: 2.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-18.6MiB live, 20.0MiB allocated

Counts

12 → 144

Calls

Call 1

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

Outputs
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 3>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))>
#<alt (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))>
#<alt (/ 45 (pow x 2))>
#<alt (/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 45 (pow x 2))>
#<alt (/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -4/42525 (pow x 2)) 1/2025))))>
#<alt (* (pow x 2) (+ 1/9 (* (pow x 4) (- (* (pow x 2) (- (* -4/893025 (pow x 2)) 4/42525)) 1/2025))))>
#<alt (* -4/893025 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 4/42525 (* 1/2025 (/ 1 (pow x 2)))) (pow x 2))) 4/893025))>
#<alt (* (pow x 10) (- (* 1/9 (/ 1 (pow x 8))) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2)))))))>
#<alt (* -4/893025 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 4/42525 (* 1/2025 (/ 1 (pow x 2)))) (pow x 2))) 4/893025))>
#<alt (* (pow x 10) (- (* 1/9 (/ 1 (pow x 8))) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2)))))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))))>
#<alt (* x (+ 1/3 (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))))>
#<alt (* -2/945 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (/ 1/3 (pow x 4)) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (/ 1/3 (pow x 4)) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -2/945 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (/ 1/3 (pow x 4)))))>
#<alt (* -1 (* (pow x 5) (- (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (/ 1/3 (pow x 4)))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/45 x)>
#<alt (* x (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* x (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* x (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* 2/945 (pow x 3))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 3))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>

Calls

36 calls:

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

rewrite679.0ms (4.1%)

Memory

7.9MiB live, 636.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 974×	`lower-fma.f32`
11 968×	`lower-fma.f64`
5 232×	`lower-*.f32`
5 214×	`lower-*.f64`
3 284×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	153
0	43	125
1	189	98
2	1442	98
0	8600	97

Stop Event

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

Counts

12 → 649

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64))))) #s(literal -1 binary64)))
(+.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x x))))
(+.f64 (.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x x))) (.f64 x #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 #s(literal 1/45 binary64) (.f64 x (.f64 x x)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/3 binary64))))
(+.f64 (.f64 (neg.f64 x) #s(literal -1/3 binary64)) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/45 binary64))))
(+.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/45 binary64))) (.f64 (neg.f64 x) #s(literal -1/3 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 x (fma.f64 (.f64 x 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)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.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)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64)))) (.f64 x (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)) (fma.f64 x #s(literal 1/3 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -1/45 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))) (fma.f64 x #s(literal 1/3 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -1/45 binary64))))))
(fma.f64 x #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x))))
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(.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/843908625 binary64) #s(literal 1/91125 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x 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 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal -1/2025 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))))

simplify620.0ms (3.7%)

Memory

21.0MiB live, 337.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 962×	`lower-fma.f64`
11 962×	`lower-fma.f32`
4 020×	`lower-*.f64`
4 020×	`lower-*.f32`
3 082×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	1134
1	390	1134
2	1027	1128
3	2599	1128
4	5657	1128
0	8060	1070

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
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(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -4/42525 (pow x 2)) 1/2025))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* (pow x 2) (- (* -4/893025 (pow x 2)) 4/42525)) 1/2025))))
(* -4/893025 (pow x 10))
(* -1 (* (pow x 10) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 4/42525 (* 1/2025 (/ 1 (pow x 2)))) (pow x 2))) 4/893025))
(* (pow x 10) (- (* 1/9 (/ 1 (pow x 8))) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2)))))))
(* -4/893025 (pow x 10))
(* -1 (* (pow x 10) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 4/42525 (* 1/2025 (/ 1 (pow x 2)))) (pow x 2))) 4/893025))
(* (pow x 10) (- (* 1/9 (/ 1 (pow x 8))) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2)))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* 1/3 x)
(* x (+ 1/3 (* -1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))))
(* x (+ 1/3 (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))))
(* -2/945 (pow x 5))
(* -1 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/3 (pow x 4)) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/3 (pow x 4)) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -2/945 (pow x 5))
(* -1 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (/ 1/3 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (/ 1/3 (pow x 4)))))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/45 x)
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/75 binary64)) #s(literal -1/5 binary64))) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/1125 binary64) #s(literal 1/75 binary64)) #s(literal -1/5 binary64)) #s(literal 3 binary64))
(/ 45 (pow x 2))
(/.f64 #s(literal 45 binary64) (*.f64 x x))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (.f64 x x))) (/.f64 #s(literal 10125 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal -675 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 10125 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 45 binary64) (/.f64 #s(literal -151875 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))) (.f64 x x))
(/ 45 (pow x 2))
(/.f64 #s(literal 45 binary64) (*.f64 x x))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (.f64 x x))) (/.f64 #s(literal 10125 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal -675 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 10125 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 45 binary64) (/.f64 #s(literal -151875 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))) (.f64 x x))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))
(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2025 binary64) #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -4/42525 (pow x 2)) 1/2025))))
(.f64 (.f64 x x) (fma.f64 (.f64 x (.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 4) (- (* (pow x 2) (- (* -4/893025 (pow x 2)) 4/42525)) 1/2025))))
(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4/893025 binary64) #s(literal -4/42525 binary64)) #s(literal -1/2025 binary64)) #s(literal 1/9 binary64)))
(* -4/893025 (pow x 10))
(*.f64 #s(literal -4/893025 binary64) (pow.f64 x #s(literal 10 binary64)))
(* -1 (* (pow x 10) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -4/893025 binary64) (/.f64 #s(literal -4/42525 binary64) (.f64 x x))))
(* (pow x 10) (- (* -1 (/ (+ 4/42525 (* 1/2025 (/ 1 (pow x 2)))) (pow x 2))) 4/893025))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -4/893025 binary64) (/.f64 (+.f64 #s(literal -4/42525 binary64) (/.f64 #s(literal -1/2025 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 10) (- (* 1/9 (/ 1 (pow x 8))) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8 binary64))) (+.f64 #s(literal -4/893025 binary64) (/.f64 (+.f64 #s(literal -4/42525 binary64) (/.f64 #s(literal -1/2025 binary64) (.f64 x x))) (*.f64 x x)))))
(* -4/893025 (pow x 10))
(*.f64 #s(literal -4/893025 binary64) (pow.f64 x #s(literal 10 binary64)))
(* -1 (* (pow x 10) (+ 4/893025 (* 4/42525 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -4/893025 binary64) (/.f64 #s(literal -4/42525 binary64) (.f64 x x))))
(* (pow x 10) (- (* -1 (/ (+ 4/42525 (* 1/2025 (/ 1 (pow x 2)))) (pow x 2))) 4/893025))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -4/893025 binary64) (/.f64 (+.f64 #s(literal -4/42525 binary64) (/.f64 #s(literal -1/2025 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 10) (- (* 1/9 (/ 1 (pow x 8))) (+ 4/893025 (+ (/ 1/2025 (pow x 4)) (* 4/42525 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8 binary64))) (+.f64 #s(literal -4/893025 binary64) (/.f64 (+.f64 #s(literal -4/42525 binary64) (/.f64 #s(literal -1/2025 binary64) (.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 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 2/945 (pow x 5))
(.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* 2/945 (pow x 5))
(.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 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 2)) 1/45))))
(.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) (- (* -2/945 (pow x 2)) 1/45))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/945 binary64)) #s(literal -1/45 binary64)) #s(literal 1/3 binary64)))
(* -2/945 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal -2/945 binary64))
(* -1 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))))
(* (pow x 5) (- (/ 1/3 (pow x 4)) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))))
(* (pow x 5) (- (/ 1/3 (pow x 4)) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))))
(* -2/945 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal -2/945 binary64))
(* -1 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (/ 1/3 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (/ 1/3 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* 2/945 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 2/945 binary64))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* 2/945 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 2/945 binary64))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))

eval336.0ms (2%)

Memory: 10.7MiB live, 196.8MiB allocated
Compiler: Compiled 53 241 to 2 381 computations (95.5% saved)

prune199.0ms (1.2%)

Memory

-7.3MiB live, 152.8MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 031	3	1 034
Fresh	0	0	0
Picked	2	1	3
Done	0	3	3
Total	1 033	7	1 040

Accuracy

100.0%

Counts

1 040 → 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 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64) #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)))))))
▶	99.9%	(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
▶	99.4%	(/.f64 x #s(literal 3 binary64))
✓	99.5%	(.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 83 to 52 computations (37.3% saved)

simplify321.0ms (1.9%)

Memory

0.8MiB live, 403.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2025 binary64) #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 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64) #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)))))))
✓	cost-diff	0	(*.f64 x #s(literal -1/5 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
✓	cost-diff	384	(/.f64 x #s(literal 3 binary64))

Rules

8 572×	`lower-fma.f32`
8 566×	`lower-fma.f64`
3 544×	`lower-*.f32`
3 526×	`lower-*.f64`
2 396×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	156
0	43	146
1	87	132
2	215	132
3	568	130
4	1015	128
5	1422	128
6	2796	128
7	6700	128
0	8127	126

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(*.f64 x #s(literal -1/5 binary64))
#s(literal -1/5 binary64)
#s(literal 3 binary64)
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64) #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 x x) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2025 binary64) #s(literal 1/9 binary64)))
(*.f64 x x)
x
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2025 binary64) #s(literal 1/9 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
#s(literal -1/2025 binary64)
#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 #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)))))
(.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)

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

localize240.0ms (1.4%)

Memory

-5.0MiB live, 149.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2025 binary64) #s(literal 1/9 binary64)))
✓	accuracy	99.5%	(.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) x)
✓	accuracy	54.0%	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64) #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)))))))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/5 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal 3 binary64))

Samples

210.0ms

256×

valid

Compiler

Compiled 169 to 29 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-mult: 169.0ms (85.9% of total)

const: 18.0ms (9.1% of total)

ival-div: 5.0ms (2.5% of total)

ival-add: 3.0ms (1.5% of total)

ival-sub: 1.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0%)

Memory

23.7MiB live, 23.7MiB allocated

Counts

10 → 120

Calls

Call 1

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

Outputs
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2))))))))>
#<alt (/ -5 x)>
#<alt (* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) x)>
#<alt (/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) x)>
#<alt (/ -5 x)>
#<alt (* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (/ 1125 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (+ (* 16875 (/ 1 (pow x 6))) (/ 1125 (pow x 4))))) x))>
#<alt 3>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (* -1/5 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* -1/5 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 4/14175 (pow x 2))))))))>
#<alt (* 7/30 x)>
#<alt (* x (- 7/30 (* 49/20 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 7/30 (/ 399/40 (pow x 4))) (* 49/20 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 7/30 (/ 399/40 (pow x 4))) (+ (* 49/20 (/ 1 (pow x 2))) (* 39249/80 (/ 1 (pow x 6))))))>
#<alt (* 7/30 x)>
#<alt (* -1 (* x (- (* 49/20 (/ 1 (pow x 2))) 7/30)))>
#<alt (* -1 (* x (- (* 49/20 (/ 1 (pow x 2))) (+ 7/30 (/ 399/40 (pow x 4))))))>
#<alt (* -1 (* x (- (+ (* 49/20 (/ 1 (pow x 2))) (* 39249/80 (/ 1 (pow x 6)))) (+ 7/30 (/ 399/40 (pow x 4))))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))))>
#<alt (* x (+ 1/3 (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))))>
#<alt (* -2/945 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (/ 1/3 (pow x 4)) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (/ 1/3 (pow x 4)) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -2/945 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (/ 1/3 (pow x 4)))))>
#<alt (* -1 (* (pow x 5) (- (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (/ 1/3 (pow x 4)))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))>
#<alt (* -1/2025 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* -1/2025 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/45 x)>
#<alt (* x (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* x (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* x (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* 2/945 (pow x 3))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 3))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (* (* x x) (+ (* (* x (* x (* x x))) -1/2025) 1/9)) (- (* 1/3 x) (* x (* x (* x (+ (* (* x x) 2/945) 1/45))))))
1.0ms	x	@	inf	(* (* x x) (+ (* (* x (* x (* x x))) -1/2025) 1/9))
0.0ms	x	@	inf	(/ (* (* x x) (+ (* (* x (* x (* x x))) -1/2025) 1/9)) (- (* 1/3 x) (* x (* x (* x (+ (* (* x x) 2/945) 1/45))))))
0.0ms	x	@	inf	(/ x (+ (* x (* x -1/5)) 3))
0.0ms	x	@	-inf	(* x -1/5)

rewrite336.0ms (2%)

Memory

2.9MiB live, 599.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 360×	`lower-fma.f32`
5 354×	`lower-fma.f64`
5 044×	`lower-*.f32`
5 026×	`lower-*.f64`
4 082×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	95
0	43	91
1	163	83
2	1141	83
0	8402	82

Stop Event

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

Counts

10 → 408

Calls

Call 1

Inputs
(/.f64 x #s(literal 3 binary64))
(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(*.f64 x #s(literal -1/5 binary64))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64) #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 #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) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2025 binary64) #s(literal 1/9 binary64)))
(*.f64 x x)
(*.f64 #s(literal 1/3 binary64) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #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) (neg.f64 (neg.f64 (/.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) x)))
(pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) #s(literal -1/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) x))))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64))) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64))))
(neg.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64)))))
(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
(/.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)) x)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/15625 binary64) (.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -3/5 binary64))) (.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -3/5 binary64))) (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -3/5 binary64))))))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/625 binary64) (-.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -3/5 binary64))) (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -3/5 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal -3/5 binary64))))))))
(/.f64 (.f64 x (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/625 binary64)) (.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -3/5 binary64))) (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -3/5 binary64)))))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -3/5 binary64))))))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal -27 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal -3/5 binary64))))))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)) x) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))))
(.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)) x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))) x)
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal 9 binary64)) (.f64 (*.f64 x x) #s(literal 3/5 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal 9 binary64)) (.f64 (*.f64 x x) #s(literal 3/5 binary64))))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64))) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -3 binary64)))
(.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -3 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)) x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/5 binary64))) #s(literal 3 binary64))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 (*.f64 x #s(literal -1/5 binary64)) x #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))
(fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64)))))
(neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64)))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x x) #s(literal 3/5 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) (.f64 (.f64 x x) #s(literal 3/5 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) (.f64 (.f64 x x) #s(literal 3/5 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64)) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x x) #s(literal 3/5 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) (.f64 (.f64 x x) #s(literal 3/5 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64))) (neg.f64 (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)))) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64))) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) (.f64 (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64)) #s(literal 9 binary64))) (.f64 (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/15625 binary64)) #s(literal 19683 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/15625 binary64) (-.f64 #s(literal 729 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -27/125 binary64)))) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x x) #s(literal 3/5 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/15625 binary64) #s(literal -729 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/125 binary64)) #s(literal -27 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)) #s(literal 9 binary64)) (.f64 (*.f64 x x) #s(literal 3/5 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/15625 binary64) #s(literal -729 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/625 binary64) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/25 binary64)))) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -3 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64) (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) #s(literal 2/42525 binary64)))) (.f64 x (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) (/.f64 (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64)) (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 4/893025 binary64)) #s(literal -1/2025 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64) (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) #s(literal 2/42525 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)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 4/893025 binary64)) #s(literal -1/2025 binary64)) x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/893025 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 2/945 binary64)) (*.f64 x #s(literal 1/45 binary64))))))
(/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)) (.f64 #s(literal -1/45 binary64) x))) (fma.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)) (*.f64 #s(literal -1/45 binary64) x)))
(/.f64 (.f64 x (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) (-.f64 #s(literal 1/2025 binary64) (.f64 (*.f64 x x) #s(literal 2/42525 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #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 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64)) #s(literal 1/91125 binary64)) x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64) (-.f64 #s(literal 1/2025 binary64) (.f64 (*.f64 x x) #s(literal 2/42525 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal -1/2025 binary64)) x) (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)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/893025 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 2/945 binary64)) (*.f64 x #s(literal 1/45 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)) (.f64 #s(literal -1/45 binary64) x)))) (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)) (*.f64 #s(literal -1/45 binary64) x))))
(/.f64 (neg.f64 (.f64 x (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 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64) (-.f64 #s(literal 1/2025 binary64) (.f64 (*.f64 x x) #s(literal 2/42525 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal -1/2025 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64))))
(/.f64 (neg.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)) x)) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64) (-.f64 #s(literal 1/2025 binary64) (.f64 (*.f64 x x) #s(literal 2/42525 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal -1/2025 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/2025 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/893025 binary64)))) (.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 2/945 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/893025 binary64))))) (-.f64 (.f64 x #s(literal 1/45 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 2/945 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) x)
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/91125 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/893025 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/2025 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 2/945 binary64)) (.f64 x #s(literal 1/45 binary64)))))))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)) (.f64 #s(literal -1/45 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 2/945 binary64)) (.f64 #s(literal -1/45 binary64) x))))
(.f64 (.f64 x (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 (.f64 x (.f64 x x))) #s(literal 4/893025 binary64) (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) #s(literal 2/42525 binary64))))))
(.f64 (.f64 x (fma.f64 (.f64 x 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 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/843908625 binary64)) #s(literal 1/91125 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/893025 binary64) (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) #s(literal 2/42525 binary64))))))
(.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/893025 binary64)) #s(literal -1/2025 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal -1/45 binary64))))

simplify614.0ms (3.7%)

Memory

-35.7MiB live, 590.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 362×	`lower-fma.f64`
9 362×	`lower-fma.f32`
3 222×	`lower-*.f64`
3 222×	`lower-*.f32`
1 966×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	864
1	431	864
2	1176	857
3	2992	844
4	6193	844
0	8109	800

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2))))))))
(/ -5 x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) x)
(/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) x)
(/ -5 x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (/ 1125 (pow x 4)))) x))
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (+ (* 16875 (/ 1 (pow x 6))) (/ 1125 (pow x 4))))) x))
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* -1/5 (pow x 2)))
(* -1/5 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* -1/5 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 4/14175 (pow x 2))))))))
(* 7/30 x)
(* x (- 7/30 (* 49/20 (/ 1 (pow x 2)))))
(* x (- (+ 7/30 (/ 399/40 (pow x 4))) (* 49/20 (/ 1 (pow x 2)))))
(* x (- (+ 7/30 (/ 399/40 (pow x 4))) (+ (* 49/20 (/ 1 (pow x 2))) (* 39249/80 (/ 1 (pow x 6))))))
(* 7/30 x)
(* -1 (* x (- (* 49/20 (/ 1 (pow x 2))) 7/30)))
(* -1 (* x (- (* 49/20 (/ 1 (pow x 2))) (+ 7/30 (/ 399/40 (pow x 4))))))
(* -1 (* x (- (+ (* 49/20 (/ 1 (pow x 2))) (* 39249/80 (/ 1 (pow x 6)))) (+ 7/30 (/ 399/40 (pow x 4))))))
(* 1/3 x)
(* x (+ 1/3 (* -1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))))
(* x (+ 1/3 (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))))
(* -2/945 (pow x 5))
(* -1 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/3 (pow x 4)) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/3 (pow x 4)) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -2/945 (pow x 5))
(* -1 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (/ 1/3 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (/ 1/3 (pow x 4)))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))
(* -1/2025 (pow x 6))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* -1/2025 (pow x 6))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/45 x)
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/675 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/10125 binary64) #s(literal 1/675 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(/ -5 x)
(/.f64 #s(literal -5 binary64) x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -75 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) x)
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -75 binary64) (/.f64 #s(literal -1125 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1125 binary64) (/.f64 #s(literal 16875 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 75 binary64)) #s(literal -5 binary64)) x)
(/ -5 x)
(/.f64 #s(literal -5 binary64) x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -75 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (/ 1125 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -75 binary64) (/.f64 #s(literal -1125 binary64) (.f64 x x))) (.f64 x x))) x)
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (+ (* 16875 (/ 1 (pow x 6))) (/ 1125 (pow x 4))))) x))
(/.f64 (+.f64 (+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -75 binary64) (/.f64 #s(literal -1125 binary64) (.f64 x x))) (.f64 x x))) (/.f64 #s(literal -16875 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x)))))) x)
3
#s(literal 3 binary64)
(+ 3 (* -1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(+ 3 (* -1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(+ 3 (* -1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(* -1/5 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5 binary64)))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(* -1/5 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5 binary64)))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 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 (* 4/14175 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 4/14175 binary64)) #s(literal 2/945 binary64))) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 7/30 x)
(*.f64 x #s(literal 7/30 binary64))
(* x (- 7/30 (* 49/20 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 7/30 binary64) (/.f64 #s(literal -49/20 binary64) x))
(* x (- (+ 7/30 (/ 399/40 (pow x 4))) (* 49/20 (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 7/30 binary64) (/.f64 #s(literal 399/40 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal -49/20 binary64) x))
(* x (- (+ 7/30 (/ 399/40 (pow x 4))) (+ (* 49/20 (/ 1 (pow x 2))) (* 39249/80 (/ 1 (pow x 6))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 399/40 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 7/30 binary64) (/.f64 #s(literal -39249/80 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (/.f64 #s(literal -49/20 binary64) x))
(* 7/30 x)
(*.f64 x #s(literal 7/30 binary64))
(* -1 (* x (- (* 49/20 (/ 1 (pow x 2))) 7/30)))
(fma.f64 x #s(literal 7/30 binary64) (/.f64 #s(literal -49/20 binary64) x))
(* -1 (* x (- (* 49/20 (/ 1 (pow x 2))) (+ 7/30 (/ 399/40 (pow x 4))))))
(fma.f64 x (+.f64 #s(literal 7/30 binary64) (/.f64 #s(literal 399/40 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal -49/20 binary64) x))
(* -1 (* x (- (+ (* 49/20 (/ 1 (pow x 2))) (* 39249/80 (/ 1 (pow x 6)))) (+ 7/30 (/ 399/40 (pow x 4))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 399/40 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 7/30 binary64) (/.f64 #s(literal -39249/80 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (/.f64 #s(literal -49/20 binary64) 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 (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45))))
(.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) (- (* -2/945 (pow x 2)) 1/45))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/945 binary64)) #s(literal -1/45 binary64)) #s(literal 1/3 binary64)))
(* -2/945 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal -2/945 binary64)))
(* -1 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))))
(* (pow x 5) (- (/ 1/3 (pow x 4)) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 #s(literal -2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))))
(* (pow x 5) (- (/ 1/3 (pow x 4)) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 #s(literal -2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))))
(* -2/945 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal -2/945 binary64)))
(* -1 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (/ 1/3 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 #s(literal -2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (/ 1/3 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (+.f64 #s(literal -2/945 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/45 binary64) (*.f64 x x)))))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal -1/2025 binary64))) #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal -1/2025 binary64))) #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* -1/2025 (pow x 4))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal -1/2025 binary64))) #s(literal 1/9 binary64)))
(* -1/2025 (pow x 6))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal -1/2025 binary64))))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1/2025 (pow x 6))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal -1/2025 binary64))))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/2025))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* 2/945 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 2/945 binary64)))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* 2/945 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 2/945 binary64)))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))

eval77.0ms (0.5%)

Memory: -9.5MiB live, 184.6MiB allocated
Compiler: Compiled 23 983 to 1 619 computations (93.2% saved)

prune58.0ms (0.4%)

Memory

6.7MiB live, 172.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	571	1	572
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	572	7	579

Accuracy

100.0%

Counts

579 → 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 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2025 binary64) #s(literal 1/9 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))))
✓	99.9%	(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
✓	99.4%	(/.f64 x #s(literal 3 binary64))
✓	99.5%	(.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 251 to 102 computations (59.4% saved)

regimes7.0ms (0%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

11 → 1

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0%)

Memory

-27.1MiB live, 11.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

10.9MiB live, 10.9MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.9%	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)

simplify7.0ms (0%)

Memory

-20.7MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	16	24

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness651.0ms (3.9%)

Memory

41.5MiB live, 508.7MiB allocated

Rules

18 970×	`lower-fma.f64`
18 970×	`lower-fma.f32`
11 962×	`lower-fma.f64`
11 962×	`lower-fma.f32`
8 508×	`lower-fma.f32`

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
0	67	324
1	179	324
2	458	318
3	1321	318
4	2085	318
5	3083	318
6	3670	318
7	3941	318
8	5080	318
9	7268	318
0	8431	300
0	143	1134
1	390	1134
2	1027	1128
3	2599	1128
4	5657	1128
0	8060	1070

Stop Event

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

Compiler

Compiled 102 to 66 computations (35.3% saved)

preprocess77.0ms (0.5%)

Memory: -38.1MiB live, 168.8MiB allocated
Remove: (negabs x)
Compiler: Compiled 172 to 108 computations (37.2% 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%)

sample9.4s (56.7%)

preprocess45.0ms (0.3%)

explain507.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.1%)

localize263.0ms (1.6%)

series4.0ms (0%)

rewrite195.0ms (1.2%)

simplify448.0ms (2.7%)

eval41.0ms (0.2%)

prune39.0ms (0.2%)

simplify15.0ms (0.1%)

localize63.0ms (0.4%)

series8.0ms (0%)

rewrite415.0ms (2.5%)

simplify464.0ms (2.8%)

eval93.0ms (0.6%)

prune46.0ms (0.3%)

simplify173.0ms (1%)

localize94.0ms (0.6%)

series9.0ms (0.1%)

rewrite679.0ms (4.1%)

simplify620.0ms (3.7%)

eval336.0ms (2%)

prune199.0ms (1.2%)

simplify321.0ms (1.9%)

localize240.0ms (1.4%)

series8.0ms (0%)

rewrite336.0ms (2%)

simplify614.0ms (3.7%)

eval77.0ms (0.5%)

prune58.0ms (0.4%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify7.0ms (0%)

soundness651.0ms (3.9%)

preprocess77.0ms (0.5%)

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