Metrics for Kahan's exp quotient

analyze1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample835.0ms (7.4%)

Memory

36.1MiB live, 664.6MiB allocated

Samples

642.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 294.0ms

ival-expm1: 175.0ms (59.4% of total)

ival-div: 110.0ms (37.4% of total)

ival-true: 6.0ms (2% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess60.0ms (0.5%)

Memory

-2.5MiB live, 120.8MiB allocated

Algorithm

1×	egg-herbie

Rules

240×	`lower-fma.f64`
240×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
168×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
0	5	6
0	8	6
1	16	6
2	19	6
3	25	6
4	34	6
5	46	6
6	66	6
7	110	6
8	173	6
9	321	6
10	475	6
11	569	6
12	636	6
13	844	6
14	851	6
15	852	6
0	852	4

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (expm1.f64 x) x)

explain70.0ms (0.6%)

Memory

-9.7MiB live, 148.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
122	1	(0.0003003423326668279)	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	0	-	-	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	123	1

Confusion

	Predicted +	Predicted -
+	122	0
-	1	133

Precision

0.991869918699187

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	122	0	0
-	1	1	132

Precision?

0.9838709677419355

Recall?

1.0

Freqs

test

number	freq
0	133
1	123

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 46 to 24 computations (47.8% saved)

Precisions

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

ival-div: 5.0ms (37.7% of total)

ival-exp: 4.0ms (30.1% of total)

ival-expm1: 4.0ms (30.1% of total)

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

exact: 0.0ms (0% of total)

ival-assert: 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

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.8%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify30.0ms (0.3%)

Memory

-9.5MiB live, 29.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
✓	cost-diff	192	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Rules

240×	`lower-fma.f64`
240×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
128×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	173	14
9	321	14
10	475	14
11	569	14
12	636	14
13	844	14
14	851	14
15	852	14
0	852	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (expm1.f64 x) x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(exp.f64 x)
x
#s(literal 1 binary64)

localize19.0ms (0.2%)

Memory

-6.1MiB live, 33.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.9%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
✓	accuracy	57.8%	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

13.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 3.0ms (43.4% of total)

ival-div: 2.0ms (28.9% of total)

ival-expm1: 2.0ms (28.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

3 → 36

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>

Calls

9 calls:

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

rewrite313.0ms (2.8%)

Memory

-11.5MiB live, 524.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 428×	`lower-/.f32`
5 426×	`lower-/.f64`
3 690×	`lower-*.f64`
3 690×	`lower-*.f32`
2 262×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	35	12
2	220	12
3	2299	12
0	8893	8

Stop Event

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

Counts

3 → 496

Calls

Call 1

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

Outputs
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x)))
(-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (expm1.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 x #s(literal 6 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (neg.f64 (expm1.f64 x)))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 6 binary64)))))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (.f64 x #s(literal 3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (+.f64 x x)))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (expm1.f64 (+.f64 x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x) (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x)))
(*.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (expm1.f64 (+.f64 x x))) (expm1.f64 x))
(.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) (neg.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 x x)) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 x (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(exp.f64 x)
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))

simplify409.0ms (3.6%)

Memory

20.4MiB live, 380.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 912×	`lower-fma.f64`
6 912×	`lower-fma.f32`
1 616×	`lower-*.f64`
1 616×	`lower-*.f32`
1 056×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	184
1	81	184
2	173	184
3	391	184
4	623	184
5	769	184
6	797	184
7	845	184
8	899	184
9	1593	184
10	4099	184
11	5148	184
12	5374	184
13	5508	184
14	5623	184
15	5629	184
16	5904	184
17	5904	184
18	6088	184
19	6161	184
20	6161	184
21	6369	184
22	6450	184
23	6450	184
0	6450	135

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 35

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)

Outputs
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)

eval58.0ms (0.5%)

Memory: 3.1MiB live, 159.0MiB allocated
Compiler: Compiled 11 317 to 1 472 computations (87% saved)

prune125.0ms (1.1%)

Memory

-24.8MiB live, 171.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	522	9	531
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	523	9	532

Accuracy

100.0%

Counts

532 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.5%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
▶	62.9%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	49.4%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
	68.2%	(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)
	3.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
	73.4%	(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
▶	100.0%	(/.f64 (expm1.f64 x) x)
▶	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
▶	48.3%	#s(literal 1 binary64)

Compiler

Compiled 140 to 94 computations (32.9% saved)

simplify156.0ms (1.4%)

Memory

8.2MiB live, 166.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(expm1.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
✓	cost-diff	0	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(expm1.f64 x)
✓	cost-diff	0	(/.f64 (expm1.f64 x) x)

Rules

2 808×	`lower-fma.f32`
2 798×	`lower-fma.f64`
840×	`lower-*.f32`
838×	`lower-*.f64`
528×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	62
0	29	60
1	64	60
2	133	60
3	211	60
4	247	60
5	280	60
6	323	60
7	413	60
8	549	60
9	893	60
10	1884	60
11	2270	60
12	2728	60
13	3008	60
14	3092	60
15	3161	60
16	3181	60
17	3181	60
0	3181	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
x
#s(literal 1 binary64)
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(expm1.f64 x)

Outputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
x
#s(literal 1 binary64)
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(expm1.f64 x)

localize67.0ms (0.6%)

Memory

-7.3MiB live, 121.1MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(expm1.f64 x)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(expm1.f64 x)
✓	accuracy	99.9%	(/.f64 (expm1.f64 x) x)

Samples

42.0ms

256×

valid

Compiler

Compiled 81 to 21 computations (74.1% saved)

Precisions

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

ival-mult: 10.0ms (34.8% of total)

ival-add: 6.0ms (20.9% of total)

const: 6.0ms (20.9% of total)

ival-div: 4.0ms (13.9% of total)

ival-expm1: 2.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (/.f64 (expm1.f64 x) x)>
#<alt (expm1.f64 x)>
#<alt (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) x)>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 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)>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1)
0.0ms	x	@	inf	(+ (* x (+ (* x 1/6) 1/2)) 1)
0.0ms	x	@	-inf	(+ (* x (+ (* x 1/6) 1/2)) 1)
0.0ms	x	@	-inf	(+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1)
0.0ms	x	@	inf	(+ (* x 1/6) 1/2)

rewrite393.0ms (3.5%)

Memory

7.8MiB live, 678.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 596×	`lower-fma.f32`
11 586×	`lower-fma.f64`
5 204×	`lower-*.f32`
5 202×	`lower-*.f64`
3 338×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	47
0	29	45
1	145	45
2	1156	45
0	8560	45

Stop Event

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

Counts

9 → 663

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(/.f64 #s(literal 1 binary64) x)

Outputs
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (expm1.f64 x) x)))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 (/.f64 (expm1.f64 x) x)))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))
(-.f64 (/.f64 (.f64 (exp.f64 x) x) (.f64 x x)) (/.f64 x (*.f64 x x)))
(-.f64 (/.f64 (neg.f64 (.f64 (exp.f64 x) x)) (.f64 x (neg.f64 x))) (/.f64 (neg.f64 x) (*.f64 x (neg.f64 x))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))) (fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))))))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (/.f64 (exp.f64 x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) x))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (exp.f64 x)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (exp.f64 x) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (exp.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 (exp.f64 x) 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 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (exp.f64 x)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (/.f64 (exp.f64 x) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (exp.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (exp.f64 x) x))
(fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)))
(fma.f64 (*.f64 (exp.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (neg.f64 (/.f64 (expm1.f64 x) x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (expm1.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (expm1.f64 x) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (expm1.f64 (.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (exp.f64 x) x) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 (exp.f64 x) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 x)) (fma.f64 (exp.f64 x) (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) (expm1.f64 (.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) (neg.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (exp.f64 x) x)) (neg.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)))) (-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (+.f64 x x)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
(/.f64 (fma.f64 (exp.f64 x) (neg.f64 x) x) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(/.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(/.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (fma.f64 x (exp.f64 x) x)))
(/.f64 (-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 x (/.f64 x (exp.f64 x))) (*.f64 (/.f64 x (exp.f64 x)) x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (/.f64 x (exp.f64 x)) #s(literal -1 binary64))) (*.f64 (/.f64 x (exp.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 x)) x) (.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 x) x) x)) (.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (neg.f64 x) x)) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (+.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) x)) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (+.f64 x x)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
(/.f64 (fma.f64 (exp.f64 x) (neg.f64 x) x) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(/.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(/.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (fma.f64 x (exp.f64 x) x)))
(/.f64 (-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 x (/.f64 x (exp.f64 x))) (*.f64 (/.f64 x (exp.f64 x)) x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (/.f64 x (exp.f64 x)) #s(literal -1 binary64))) (*.f64 (/.f64 x (exp.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 x)) x) (.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 x) x) x)) (.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (neg.f64 x) x)) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (+.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) x)) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 x (exp.f64 x) x))))
(/.f64 (+.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)) (/.f64 #s(literal -1 binary64) x)))
(pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1 binary64))
(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (expm1.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (expm1.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 x) x)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (expm1.f64 x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))
(.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))
(.f64 (expm1.f64 (+.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 (.f64 (exp.f64 x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (fma.f64 (exp.f64 x) (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x))))
(.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))))
(.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))))
(.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (exp.f64 x) x))))
(.f64 (-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))))))
(.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (expm1.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 x (expm1.f64 (.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (pow.f64 (/.f64 x (expm1.f64 (+.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) (/.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (expm1.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1/2 binary64)))
(.f64 (.f64 (expm1.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))

simplify250.0ms (2.2%)

Memory

25.4MiB live, 374.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 284×	`lower-fma.f64`
9 284×	`lower-fma.f32`
2 480×	`lower-*.f64`
2 480×	`lower-*.f32`
2 198×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	646
1	216	646
2	603	630
3	1838	630
4	4744	630
5	7505	630
0	8756	498

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 107

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp 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)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) 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)

eval110.0ms (1%)

Memory: -45.1MiB live, 202.9MiB allocated
Compiler: Compiled 16 107 to 1 521 computations (90.6% saved)

prune110.0ms (1%)

Memory

34.7MiB live, 195.1MiB allocated

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	811	25	836
Fresh	1	3	4
Picked	0	5	5
Done	0	0	0
Total	812	33	845

Accuracy

100.0%

Counts

845 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.5%	(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	55.9%	(fma.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
▶	68.2%	(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	67.3%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	54.1%	(fma.f64 x (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	67.5%	(fma.f64 x (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	67.5%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	67.5%	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
▶	67.5%	(fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	67.5%	(fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	54.1%	(fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	62.9%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	67.5%	(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
	67.5%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
▶	49.4%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
	53.0%	(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
	68.2%	(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)
	3.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	67.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	53.0%	(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
	62.9%	(+.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
▶	67.3%	(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	53.0%	(.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
	29.5%	(.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (expm1.f64 x))
	68.1%	(.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
▶	21.5%	(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
	21.1%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
	16.9%	(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	20.8%	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
	17.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	48.3%	#s(literal 1 binary64)

Compiler

Compiled 983 to 596 computations (39.4% saved)

simplify1.0s (9.1%)

Memory

-21.5MiB live, 524.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
✓	cost-diff	128	(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	768	(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)))
✓	cost-diff	640	(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))

Rules

30 040×	`lower-fma.f32`
30 022×	`lower-fma.f64`
3 368×	`lower-+.f32`
3 366×	`lower-+.f64`
2 656×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	214
0	62	209
1	145	207
2	320	204
3	695	200
4	1197	200
5	1837	200
6	3162	200
7	4698	200
8	5881	200
9	6402	200
10	6597	200
11	6637	200
12	6933	200
13	7086	200
14	7140	200
15	7152	200
16	7152	200
0	8424	193

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(*.f64 x #s(literal 1/576 binary64))
#s(literal 1/576 binary64)
#s(literal -1/36 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
#s(literal -1 binary64)
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
#s(literal -1/24 binary64)
#s(literal 1/6 binary64)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(*.f64 x x)
x
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
#s(literal 1/24 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
#s(literal 1/36 binary64)
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(*.f64 x x)
#s(literal 1/576 binary64)
(-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
#s(literal 1/6 binary64)
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
(*.f64 x #s(literal 1/576 binary64))
#s(literal 1/576 binary64)
#s(literal -1/36 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
#s(literal -1 binary64)
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
#s(literal -1/24 binary64)
#s(literal 1/6 binary64)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(*.f64 x x)
x
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(literal 1/24 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(*.f64 x x)
#s(literal 1/576 binary64)
(-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize182.0ms (1.6%)

Memory

33.9MiB live, 151.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/576 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	77.9%	(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.5%	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	89.8%	(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
✓	accuracy	99.7%	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)))
✓	accuracy	99.7%	(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/576 binary64))
✓	accuracy	98.1%	(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))

Samples

119.0ms

256×

valid

Compiler

Compiled 236 to 42 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 64.0ms (64.9% of total)

const: 17.0ms (17.2% of total)

ival-add: 11.0ms (11.2% of total)

ival-div: 4.0ms (4.1% of total)

ival-sub: 2.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Memory

-19.1MiB live, 16.7MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))>
#<alt (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)))>
#<alt (*.f64 x x)>
#<alt (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))>
#<alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))>
#<alt (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))>
#<alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))>
#<alt (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))>
#<alt (.f64 x (.f64 x x))>
#<alt (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))>
#<alt (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))>
#<alt (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))>
#<alt (*.f64 x #s(literal 1/576 binary64))>
#<alt (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))>
#<alt (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))>
#<alt (*.f64 x #s(literal 1/24 binary64))>
#<alt (.f64 (.f64 x x) #s(literal 1/576 binary64))>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* -1/36 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/576 (* 1/36 (/ 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 -1/36>
#<alt (- (* 1/576 (pow x 2)) 1/36)>
#<alt (- (* 1/576 (pow x 2)) 1/36)>
#<alt (- (* 1/576 (pow x 2)) 1/36)>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1/36>
#<alt (+ 1/36 (* -1/576 (pow x 2)))>
#<alt (+ 1/36 (* -1/576 (pow x 2)))>
#<alt (+ 1/36 (* -1/576 (pow x 2)))>
#<alt (* -1/576 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))>
#<alt (* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))>
#<alt (* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))>
#<alt (* -1/576 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))>
#<alt (* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))>
#<alt (* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/24 x))>
#<alt (+ 1/6 (* -1/24 x))>
#<alt (+ 1/6 (* -1/24 x))>
#<alt (* -1/24 x)>
#<alt (* x (- (* 1/6 (/ 1 x)) 1/24))>
#<alt (* x (- (* 1/6 (/ 1 x)) 1/24))>
#<alt (* x (- (* 1/6 (/ 1 x)) 1/24))>
#<alt (* -1/24 x)>
#<alt (* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt 1/6>
#<alt (+ 1/6 (* -1/24 x))>
#<alt (+ 1/6 (* -1/24 x))>
#<alt (+ 1/6 (* -1/24 x))>
#<alt (* -1/24 x)>
#<alt (* x (- (* 1/6 (/ 1 x)) 1/24))>
#<alt (* x (- (* 1/6 (/ 1 x)) 1/24))>
#<alt (* x (- (* 1/6 (/ 1 x)) 1/24))>
#<alt (* -1/24 x)>
#<alt (* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>

Calls

60 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(+ (* x (+ (* x (/ (- 1/36 (* (* x x) 1/576)) (- 1/6 (* x 1/24)))) 1/2)) 1)
1.0ms	x	@	inf	(* 1/24 (* x (* x x)))
0.0ms	x	@	inf	(* (* x x) (+ (* x (* x 1/576)) -1/36))
0.0ms	x	@	0	(* 1/24 (* x (* x x)))
0.0ms	x	@	0	(* (* x x) (+ (* x (* x 1/576)) -1/36))

rewrite691.0ms (6.1%)

Memory

3.7MiB live, 474.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 320×	`lower-/.f32`
4 316×	`lower-/.f64`
4 054×	`lower-*.f32`
4 038×	`lower-*.f64`
3 868×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	162
0	62	142
1	304	125
2	2561	125
0	8327	123

Stop Event

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

Counts

20 → 1 033

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
(-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/576 binary64))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(*.f64 x #s(literal 1/24 binary64))
(.f64 (.f64 x x) #s(literal 1/576 binary64))

Outputs
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))))
(+.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64)))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (-.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (/.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64)))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))))))
(-.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x #s(literal 1/2 binary64))) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x #s(literal 1/2 binary64)))) (-.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))))
(fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))) (/.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (.f64 (/.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (*.f64 (/.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))))
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(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (*.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x #s(literal 1/576 binary64)))))) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/191102976 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/46656 binary64) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (/.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/191102976 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))) (neg.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal 1/216 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal 1/216 binary64))) (fma.f64 (*.f64 x #s(literal 1/24 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/191102976 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64))))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/24 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -1/24 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x #s(literal 1/24 binary64))))
(.f64 x (.f64 #s(literal -1/24 binary64) (*.f64 x #s(literal -1/24 binary64))))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(*.f64 #s(literal 1/576 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 x #s(literal 1/576 binary64)) x)
(.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x #s(literal -1/24 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/576 binary64))))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x #s(literal -1/24 binary64)) (*.f64 x #s(literal -1/24 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 1/24 binary64)) x) #s(literal 1/24 binary64))
(.f64 (.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) x)
(.f64 (.f64 (*.f64 x #s(literal -1/24 binary64)) x) #s(literal -1/24 binary64))
(.f64 (.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1/576 binary64))

simplify383.0ms (3.4%)

Memory

-3.2MiB live, 561.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 502×	`lower-fma.f64`
10 502×	`lower-fma.f32`
3 026×	`lower-*.f64`
3 026×	`lower-*.f32`
2 004×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	1358
1	254	1354
2	643	1354
3	1670	1330
4	4658	1330
5	7512	1330
0	8479	1171

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))
(* 1/576 (pow x 4))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* 1/576 (pow x 4))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 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)
-1/36
(- (* 1/576 (pow x 2)) 1/36)
(- (* 1/576 (pow x 2)) 1/36)
(- (* 1/576 (pow x 2)) 1/36)
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1/36
(+ 1/36 (* -1/576 (pow x 2)))
(+ 1/36 (* -1/576 (pow x 2)))
(+ 1/36 (* -1/576 (pow x 2)))
(* -1/576 (pow x 2))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* -1/576 (pow x 2))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
1/6
(+ 1/6 (* -1/24 x))
(+ 1/6 (* -1/24 x))
(+ 1/6 (* -1/24 x))
(* -1/24 x)
(* x (- (* 1/6 (/ 1 x)) 1/24))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(* -1/24 x)
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
1/6
(+ 1/6 (* -1/24 x))
(+ 1/6 (* -1/24 x))
(+ 1/6 (* -1/24 x))
(* -1/24 x)
(* x (- (* 1/6 (/ 1 x)) 1/24))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(* -1/24 x)
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* 1/576 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* 1/576 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 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)
-1/36
#s(literal -1/36 binary64)
(- (* 1/576 (pow x 2)) 1/36)
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
(- (* 1/576 (pow x 2)) 1/36)
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
(- (* 1/576 (pow x 2)) 1/36)
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* -1/576 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))
(+ 1/36 (* -1/576 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))
(+ 1/36 (* -1/576 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))
(* -1/576 (pow x 2))
(.f64 x (.f64 x #s(literal -1/576 binary64)))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))
(* -1/576 (pow x 2))
(.f64 x (.f64 x #s(literal -1/576 binary64)))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/24 x))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* -1/24 x))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* -1/24 x))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/24 x))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* -1/24 x))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* -1/24 x))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* x (- (* 1/6 (/ 1 x)) 1/24))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))

eval204.0ms (1.8%)

Memory: 47.0MiB live, 470.1MiB allocated
Compiler: Compiled 46 424 to 2 904 computations (93.7% saved)

prune274.0ms (2.4%)

Memory

-60.9MiB live, 416.4MiB allocated

Pruning

42 alts after pruning (34 fresh and 8 done)

	Pruned	Kept	Total
New	1 348	19	1 367
Fresh	8	15	23
Picked	2	3	5
Done	0	5	5
Total	1 358	42	1 400

Accuracy

100.0%

Counts

1 400 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.8%	(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	54.8%	(fma.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	67.5%	(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	55.9%	(fma.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
	65.9%	(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
	49.6%	(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal -1/144 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	49.4%	(fma.f64 (.f64 (.f64 x x) #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	54.1%	(fma.f64 x (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	67.5%	(fma.f64 x (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	67.5%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	67.5%	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	66.5%	(fma.f64 x (fma.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	49.5%	(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	54.1%	(fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	62.9%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
▶	67.5%	(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
	67.5%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓	49.4%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
	53.0%	(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
▶	68.2%	(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)
	3.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
	22.2%	(/.f64 (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) x) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	62.9%	(+.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	67.3%	(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	66.5%	(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	29.5%	(.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (expm1.f64 x))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
✓	21.5%	(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
	20.8%	(.f64 (.f64 x x) (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (/.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x #s(literal 1/576 binary64)))))))
	3.7%	(.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))))
	5.0%	(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/191102976 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64)))))
	21.5%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
▶	21.5%	(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
	21.5%	(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
	20.8%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
	17.3%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
	21.1%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
	16.9%	(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	20.8%	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
▶	3.9%	(*.f64 #s(literal 1/2 binary64) x)
✓	48.3%	#s(literal 1 binary64)

Compiler

Compiled 1 287 to 817 computations (36.5% saved)

simplify300.0ms (2.7%)

Memory

34.5MiB live, 628.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/576 binary64)))
✓	cost-diff	0	(.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) x)
✓	cost-diff	640	(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64)))
✓	cost-diff	640	(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/24 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	128	(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
✓	cost-diff	1024	(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)

Rules

9 310×	`lower-fma.f32`
9 294×	`lower-fma.f64`
3 730×	`lower-*.f32`
3 712×	`lower-*.f64`
1 940×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	210
0	61	206
1	117	200
2	242	198
3	605	190
4	1390	189
5	1955	188
6	2614	188
7	4924	188
8	5776	188
9	7585	188
0	8127	184

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
x
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(*.f64 x x)
x
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) x)
(.f64 x (.f64 x #s(literal 1/576 binary64)))
x
(*.f64 x #s(literal 1/576 binary64))
#s(literal 1/576 binary64)
(.f64 (.f64 x x) #s(literal -1/36 binary64))
(*.f64 x x)
#s(literal -1/36 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
#s(literal -1 binary64)
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
#s(literal -1/24 binary64)
#s(literal 1/6 binary64)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)
x
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))))
(.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) x)
(.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64))))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
x
(*.f64 x #s(literal 1/576 binary64))
#s(literal 1/576 binary64)
(.f64 (.f64 x x) #s(literal -1/36 binary64))
(*.f64 x x)
#s(literal -1/36 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
#s(literal -1 binary64)
(fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))
#s(literal -1/24 binary64)
#s(literal 1/6 binary64)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize191.0ms (1.7%)

Memory

-0.9MiB live, 314.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/36 binary64))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/576 binary64))
✓	accuracy	98.1%	(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	accuracy	81.3%	(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64)))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.9%	(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
✓	accuracy	99.9%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	98.1%	(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)

Samples

143.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 243 to 39 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 55.0ms (45.5% of total)

const: 46.0ms (38.1% of total)

ival-add: 11.0ms (9.1% of total)

ival-div: 7.0ms (5.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.3%)

Memory

-23.1MiB live, 15.1MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)>
#<alt (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)>
#<alt (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))>
#<alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))>
#<alt (.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))>
#<alt (*.f64 x x)>
#<alt (*.f64 x #s(literal 1/24 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))>
#<alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))>
#<alt (fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))>
#<alt (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64)))>
#<alt (.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) x)>
#<alt (.f64 x (.f64 x #s(literal 1/576 binary64)))>
#<alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))>
#<alt (*.f64 x #s(literal 1/576 binary64))>
#<alt (.f64 (.f64 x x) #s(literal -1/36 binary64))>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt 2>
#<alt (+ 2 (* -2/3 x))>
#<alt (+ 2 (* x (- (* 1/18 x) 2/3)))>
#<alt (+ 2 (* x (- (* x (+ 1/18 (* 1/27 x))) 2/3)))>
#<alt (/ 24 (pow x 2))>
#<alt (/ (- 24 (* 96 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 24 (+ (* 768 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ (- 24 (* 96 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 24 (* -1 (/ (- 96 (* 96 (/ 1 x))) x))) (pow x 2))>
#<alt (/ (+ 24 (* -1 (/ (+ 96 (* -1 (/ (+ 96 (* 768 (/ 1 x))) x))) x))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* -1/36 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))>
#<alt (* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 3))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* 1/576 x)>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>

Calls

57 calls:

Time	Variable		Point	Expression
31.0ms	x	@	-inf	(+ (* (+ (* (* (* x (* x 1/576)) x) x) (* (* x x) -1/36)) (/ -1 (+ (* x -1/24) 1/6))) (+ (* x 1/2) 1))
0.0ms	x	@	inf	(+ (* (* (* x (* x 1/576)) x) x) (* (* x x) -1/36))
0.0ms	x	@	0	(+ (* (* (* x (* x 1/576)) x) x) (* (* x x) -1/36))
0.0ms	x	@	inf	(* (* x x) -1/36)
0.0ms	x	@	inf	(* 1/2 x)

rewrite481.0ms (4.3%)

Memory

14.3MiB live, 933.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 622×	`lower-*.f32`
4 604×	`lower-*.f64`
4 352×	`lower-/.f32`
4 344×	`lower-/.f64`
3 260×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	160
0	61	152
1	244	144
2	1869	144
0	8246	142

Stop Event

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

Counts

19 → 971

Calls

Call 1

Inputs
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(*.f64 x x)
(*.f64 x #s(literal 1/24 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) x)
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/576 binary64))
(.f64 (.f64 x x) #s(literal -1/36 binary64))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x))) x) (/.f64 (/.f64 (.f64 x x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x) (neg.f64 x)))
(-.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))) (.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)))))
(neg.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)) x))
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)) (neg.f64 x))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))))) (.f64 x (fma.f64 x (-.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))))))
(/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x))) (.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))))) x))
(/.f64 (.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x))) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)) x))
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(/.f64 (-.f64 (.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))))) (-.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/576 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))))) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/36 binary64)))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/36 binary64))) (.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/36 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/36 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/46656 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/36 binary64)))))) (neg.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/36 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))))))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/576 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/46656 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/36 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/36 binary64))))) #s(literal -1 binary64))
(.f64 x (fma.f64 x #s(literal -1/36 binary64) (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))))
(.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))) (.f64 x #s(literal -1/36 binary64))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)))
(.f64 (.f64 x x) (+.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/576 binary64))))))))
(.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal -1/36 binary64)))))
(.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/576 binary64)))
(.f64 (.f64 x #s(literal 1/576 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/576 binary64))
(.f64 (.f64 x (*.f64 x #s(literal 1/576 binary64))) x)
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/24 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -1/24 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x #s(literal 1/24 binary64))))
(.f64 x (.f64 #s(literal -1/24 binary64) (*.f64 x #s(literal -1/24 binary64))))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/576 binary64)) x)
(.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x #s(literal -1/24 binary64))))
(.f64 (.f64 x #s(literal -1/24 binary64)) (*.f64 x #s(literal -1/24 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/24 binary64))
(.f64 (.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) x)
(.f64 (.f64 (*.f64 x #s(literal -1/24 binary64)) x) #s(literal -1/24 binary64))
(.f64 (.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) x)
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (*.f64 x #s(literal 1/144 binary64)))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) (neg.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (*.f64 x #s(literal 1/144 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64)))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(*.f64 x #s(literal 1/576 binary64))
(*.f64 #s(literal 1/576 binary64) x)
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(.f64 (.f64 x x) #s(literal -1/36 binary64))
(.f64 #s(literal -1/36 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/36 binary64)) x)

simplify296.0ms (2.6%)

Memory

5.4MiB live, 573.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 496×	`lower-fma.f64`
11 496×	`lower-fma.f32`
3 648×	`lower-*.f64`
3 648×	`lower-*.f32`
2 022×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	1538
1	397	1536
2	999	1522
3	2832	1458
0	8172	1309

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 227

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
2
(+ 2 (* -2/3 x))
(+ 2 (* x (- (* 1/18 x) 2/3)))
(+ 2 (* x (- (* x (+ 1/18 (* 1/27 x))) 2/3)))
(/ 24 (pow x 2))
(/ (- 24 (* 96 (/ 1 x))) (pow x 2))
(/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 2))
(/ (- (+ 24 (+ (* 768 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 2))
(/ 24 (pow x 2))
(/ (- 24 (* 96 (/ 1 x))) (pow x 2))
(/ (+ 24 (* -1 (/ (- 96 (* 96 (/ 1 x))) x))) (pow x 2))
(/ (+ 24 (* -1 (/ (+ 96 (* -1 (/ (+ 96 (* 768 (/ 1 x))) x))) x))) (pow x 2))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))
(* 1/576 (pow x 4))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* 1/576 (pow x 4))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 3))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 x)))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 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)
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2/3 x))
(fma.f64 x #s(literal -2/3 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 1/18 x) 2/3)))
(fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 1/18 (* 1/27 x))) 2/3)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/27 binary64) #s(literal 1/18 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ (- 24 (* 96 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x x))
(/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (-.f64 #s(literal -96 binary64) (/.f64 #s(literal -96 binary64) x)) x)) (*.f64 x x))
(/ (- (+ 24 (+ (* 768 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 768 binary64) (.f64 x x)) (-.f64 #s(literal -96 binary64) (/.f64 #s(literal -96 binary64) x))) #s(literal 24 binary64)) (.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ (- 24 (* 96 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x x))
(/ (+ 24 (* -1 (/ (- 96 (* 96 (/ 1 x))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (-.f64 #s(literal -96 binary64) (/.f64 #s(literal -96 binary64) x)) x)) (*.f64 x x))
(/ (+ 24 (* -1 (/ (+ 96 (* -1 (/ (+ 96 (* 768 (/ 1 x))) x))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (-.f64 #s(literal -96 binary64) (/.f64 (+.f64 #s(literal -96 binary64) (/.f64 #s(literal -768 binary64) x)) x)) x)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* (pow x 2) (- (* 1/576 (pow x 2)) 1/36))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* 1/576 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* 1/576 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* (pow x 4) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(* 1/576 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(* 1/576 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(* 1/576 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(* 1/576 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(* 1/576 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(* 1/576 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(* 1/576 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(* 1/576 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(* 1/576 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(* 1/576 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(* 1/576 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(* 1/576 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* 1/576 x)
(*.f64 x #s(literal 1/576 binary64))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))

eval307.0ms (2.7%)

Memory: 29.2MiB live, 405.7MiB allocated
Compiler: Compiled 66 602 to 3 533 computations (94.7% saved)

prune176.0ms (1.6%)

Memory

-18.1MiB live, 429.1MiB allocated

Pruning

37 alts after pruning (27 fresh and 10 done)

	Pruned	Kept	Total
New	1 329	8	1 337
Fresh	10	19	29
Picked	3	2	5
Done	0	8	8
Total	1 342	37	1 379

Accuracy

100.0%

Counts

1 379 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.5%	(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	68.2%	(fma.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))) (.f64 x #s(literal -1/36 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	67.5%	(fma.f64 x (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	67.5%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	67.5%	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	66.5%	(fma.f64 x (fma.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	62.9%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	50.7%	(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
	65.2%	(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))) #s(literal 1 binary64))
	65.2%	(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64))
	67.5%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓	49.4%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
	53.0%	(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
	3.2%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
	33.3%	(/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x))) (.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
	9.9%	(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))))
	22.2%	(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
	22.2%	(/.f64 (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) x) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
	21.5%	(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	62.9%	(+.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	67.3%	(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	66.5%	(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	29.5%	(.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (expm1.f64 x))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
✓	21.5%	(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
	3.7%	(.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))))
	5.0%	(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/191102976 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64)))))
✓	21.5%	(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
	21.5%	(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
	20.8%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
	17.3%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
	21.1%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
	16.9%	(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	20.8%	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
✓	3.9%	(*.f64 #s(literal 1/2 binary64) x)
✓	48.3%	#s(literal 1 binary64)

Compiler

Compiled 1 519 to 544 computations (64.2% saved)

regimes38.0ms (0.3%)

Memory

-4.0MiB live, 68.9MiB allocated

Counts

62 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x)
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) x) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))) (.f64 x #s(literal -1/36 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))))
(fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/191102976 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64)))))
(/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x))) (.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal -1/144 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(.f64 (.f64 x x) (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (/.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x #s(literal 1/576 binary64)))))))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (expm1.f64 x))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))

Outputs
(/.f64 (expm1.f64 x) x)

Calls

2 calls:

19.0ms	x
16.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes40.0ms (0.4%)

Memory

-10.4MiB live, 65.3MiB allocated

Counts

57 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x)
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) x) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))) (.f64 x #s(literal -1/36 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))))
(fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/191102976 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64)))))
(/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x))) (.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal -1/144 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(.f64 (.f64 x x) (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (/.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x #s(literal 1/576 binary64))))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x #s(literal 1/576 binary64)))))))

Outputs

(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))

(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))) (*.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))

(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x)

Calls

2 calls:

20.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
15.0ms	x

Results

Accuracy	Segments	Branch
73.1%	3	`x`
68.2%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory

33.8MiB live, 33.8MiB allocated

Counts

53 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x)
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) x) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))) (.f64 x #s(literal -1/36 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))))
(fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/191102976 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64)))))

Outputs

(*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))

(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
71.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes37.0ms (0.3%)

Memory

-9.3MiB live, 27.2MiB allocated

Counts

51 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x)
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) x) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))) (.f64 x #s(literal -1/36 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))))
(fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))

Outputs

(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))

(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))

Calls

1 calls:

34.0ms

Results

Accuracy	Segments	Branch
71.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes45.0ms (0.4%)

Memory

14.4MiB live, 50.8MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x)
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) x) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))) (.f64 x #s(literal -1/36 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))))
(fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) x) x (.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/331776 binary64))) (.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))))

Outputs

(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))

Calls

2 calls:

31.0ms	x
12.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
68.2%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
68.2%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes38.0ms (0.3%)

Memory

-7.5MiB live, 46.3MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x)
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))) x) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (.f64 x (.f64 x #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))

Outputs
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)

Calls

2 calls:

24.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
11.0ms	x

Results

Accuracy	Segments	Branch
68.2%	1	`x`
68.2%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes23.0ms (0.2%)

Memory

-19.4MiB live, 48.9MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x)
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))) #s(literal 1 binary64))

Outputs

(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))

(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x)

Calls

2 calls:

13.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
69.3%	2	`x`
69.3%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-6.4MiB live, 32.3MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Outputs
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))

Calls

2 calls:

6.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
67.5%	1	`x`
67.5%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))

Outputs

(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))

(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
67.6%	2	`x`
67.6%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory

-20.7MiB live, 21.2MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))

Outputs
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))

Calls

2 calls:

12.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
67.6%	2	`x`
67.6%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))

Outputs
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
67.6%	2	`x`
67.6%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-18.8MiB live, 20.2MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)

Outputs
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
62.9%	1	`x`
62.9%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes5.0ms (0%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))

Outputs
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
61.9%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
61.9%	2	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes5.0ms (0%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))

Outputs
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
61.9%	2	`x`
61.9%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes4.0ms (0%)

Memory

-27.9MiB live, 11.5MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.4%	1	`x`
49.4%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes3.0ms (0%)

Memory

9.9MiB live, 10.0MiB allocated

Accuracy

Total -28.8b remaining (-87.2%)

Threshold costs -28.8b (-87.2%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
48.3%	1	`x`
48.3%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch20.0ms (0.2%)

Memory

11.2MiB live, 50.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	7.548159770943028e+61	8.170943261712694e+65
10.0ms	0.4655180461949266	28.459194717765982

Samples

9.0ms

240×

valid

Compiler

Compiled 872 to 343 computations (60.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (46.5% of total)

ival-expm1: 2.0ms (46.5% of total)

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

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

bsearch16.0ms (0.1%)

Memory

-7.8MiB live, 32.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.2017610489007456e+94	3.202377116132502e+113

Samples

9.0ms

176×

valid

Compiler

Compiled 494 to 238 computations (51.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 4.0ms (72.9% of total)

ival-expm1: 1.0ms (18.2% of total)

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

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

bsearch2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2017610489007456e+94	3.202377116132502e+113

Compiler

Compiled 472 to 216 computations (54.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2735040978292862	80435657876.13626

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2735040978292862	80435657876.13626

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2735040978292862	80435657876.13626

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2735040978292862	80435657876.13626

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch9.0ms (0.1%)

Memory

-20.6MiB live, 18.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.4655180461949266	28.459194717765982

Samples

5.0ms

96×

valid

Compiler

Compiled 108 to 84 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (56.8% of total)

ival-expm1: 1.0ms (56.8% of total)

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

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2735040978292862	80435657876.13626

Compiler

Compiled 10 to 9 computations (10% saved)

simplify9.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	356
1	96	356
2	101	356
3	107	356

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 9/2 binary64)) (fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 85000000000000003547768810134070949512482657908363106317238272 binary64)) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x))) (.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)))) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x))) x)))
(if (<=.f64 x #s(literal 16500000000000000429467228042451347871869058117332340264386178628767932801736995987887994004311675764736 binary64)) (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))
(if (<=.f64 x #s(literal 16500000000000000429467228042451347871869058117332340264386178628767932801736995987887994004311675764736 binary64)) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 5/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 9/2 binary64)) (fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 85000000000000003547768810134070949512482657908363106317238272 binary64)) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x))) (.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)))) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x))) x)))
(if (<=.f64 x #s(literal 16500000000000000429467228042451347871869058117332340264386178628767932801736995987887994004311675764736 binary64)) (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))
(if (<=.f64 x #s(literal 16500000000000000429467228042451347871869058117332340264386178628767932801736995987887994004311675764736 binary64)) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) x)
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x))
(if (<=.f64 (/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 x)) x) #s(literal 2 binary64)) (fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/18 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 x)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(if (<=.f64 (/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 x)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(if (<=.f64 (/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 x)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 5/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(if (<=.f64 (/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 x)) x) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness3.2s (28.5%)

Memory

-49.9MiB live, 1 175.7MiB allocated

Rules

11 596×	`lower-fma.f32`
11 586×	`lower-fma.f64`
11 496×	`lower-fma.f64`
11 496×	`lower-fma.f32`
9 284×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	160
0	61	152
1	244	144
2	1869	144
0	8246	142
0	65	646
1	216	646
2	603	630
3	1838	630
4	4744	630
5	7505	630
0	8756	498
0	26	184
1	81	184
2	173	184
3	391	184
4	623	184
5	769	184
6	797	184
7	845	184
8	899	184
9	1593	184
10	4099	184
11	5148	184
12	5374	184
13	5508	184
14	5623	184
15	5629	184
16	5904	184
17	5904	184
18	6088	184
19	6161	184
20	6161	184
21	6369	184
22	6450	184
23	6450	184
0	6450	135
0	5	12
0	8	12
1	35	12
2	220	12
3	2299	12
0	8893	8
0	133	1538
1	397	1536
2	999	1522
3	2832	1458
0	8172	1309
0	14	47
0	29	45
1	145	45
2	1156	45
0	8560	45

Stop Event

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

Compiler

Compiled 733 to 334 computations (54.4% saved)

preprocess96.0ms (0.9%)

Memory: 28.2MiB live, 224.5MiB allocated
Compiler: Compiled 774 to 186 computations (76% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
0	5	6
0	8	6
1	16	6
2	19	6
3	25	6
4	34	6
5	46	6
6	66	6
7	110	6
8	173	6
9	321	6
10	475	6
11	569	6
12	636	6
13	844	6
14	851	6
15	852	6
0	852	4

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	173	14
9	321	14
10	475	14
11	569	14
12	636	14
13	844	14
14	851	14
15	852	14
0	852	10

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
0	5	6
0	8	6
1	16	6
2	19	6
3	25	6
4	34	6
5	46	6
6	66	6
7	110	6
8	173	6
9	321	6
10	475	6
11	569	6
12	636	6
13	844	6
14	851	6
15	852	6
0	852	4

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	173	14
9	321	14
10	475	14
11	569	14
12	636	14
13	844	14
14	851	14
15	852	14
0	852	10

analyze1.0ms (0%)

sample835.0ms (7.4%)

preprocess60.0ms (0.5%)

explain70.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify30.0ms (0.3%)

localize19.0ms (0.2%)

series2.0ms (0%)

rewrite313.0ms (2.8%)

simplify409.0ms (3.6%)

eval58.0ms (0.5%)

prune125.0ms (1.1%)

simplify156.0ms (1.4%)

localize67.0ms (0.6%)

series5.0ms (0%)

rewrite393.0ms (3.5%)

simplify250.0ms (2.2%)

eval110.0ms (1%)

prune110.0ms (1%)

simplify1.0s (9.1%)

localize182.0ms (1.6%)

series19.0ms (0.2%)

rewrite691.0ms (6.1%)

simplify383.0ms (3.4%)

eval204.0ms (1.8%)

prune274.0ms (2.4%)

simplify300.0ms (2.7%)

localize191.0ms (1.7%)

series39.0ms (0.3%)

rewrite481.0ms (4.3%)

simplify296.0ms (2.6%)

eval307.0ms (2.7%)

prune176.0ms (1.6%)

regimes38.0ms (0.3%)

regimes40.0ms (0.4%)

regimes16.0ms (0.1%)

regimes37.0ms (0.3%)

regimes45.0ms (0.4%)

regimes38.0ms (0.3%)

regimes23.0ms (0.2%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes16.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch20.0ms (0.2%)

bsearch16.0ms (0.1%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch9.0ms (0.1%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness3.2s (28.5%)

preprocess96.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
0	5	6
0	8	6
1	16	6
2	19	6
3	25	6
4	34	6
5	46	6
6	66	6
7	110	6
8	173	6
9	321	6
10	475	6
11	569	6
12	636	6
13	844	6
14	851	6
15	852	6
0	852	4

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	173	14
9	321	14
10	475	14
11	569	14
12	636	14
13	844	14
14	851	14
15	852	14
0	852	10