Metrics for Kahan's exp quotient

analyze1.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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)

sample473.0ms (4.6%)

Memory

16.9MiB live, 646.4MiB allocated

Samples

294.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-div: 87.0ms (55.4% of total)

ival-expm1: 61.0ms (38.9% of total)

ival-true: 6.0ms (3.8% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

preprocess60.0ms (0.6%)

Memory

-35.4MiB live, 56.5MiB 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)

explain66.0ms (0.6%)

Memory

-0.9MiB live, 114.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
118	1	(-0.003104047880745222)	-	`(-.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	119	0

Confusion

	Predicted +	Predicted -
+	118	0
-	1	137

Precision

0.9915966386554622

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	118	0	0
-	1	0	137

Precision?

0.9915966386554622

Recall?

1.0

Freqs

test

number	freq
0	137
1	119

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 46 to 24 computations (47.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 4.0ms (32.2% of total)

ival-exp: 4.0ms (32.2% of total)

ival-expm1: 4.0ms (32.2% 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
▶	56.6%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify34.0ms (0.3%)

Memory

5.0MiB live, 46.1MiB 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)

localize18.0ms (0.2%)

Memory

-8.4MiB live, 30.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
✓	accuracy	57.6%	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (34% of total)

ival-exp: 2.0ms (34% of total)

ival-expm1: 2.0ms (34% 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

3.5MiB live, 3.5MiB 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	@	-inf	(- (exp x) 1)

rewrite323.0ms (3.2%)

Memory

41.1MiB live, 429.1MiB 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))

simplify410.0ms (4%)

Memory

-9.1MiB live, 271.9MiB 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)

eval57.0ms (0.6%)

Memory: 9.4MiB live, 123.3MiB allocated
Compiler: Compiled 11 317 to 1 472 computations (87% saved)

prune64.0ms (0.6%)

Memory

-7.0MiB live, 153.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	523	8	531
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	524	8	532

Accuracy

100.0%

Counts

532 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.1%	(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))
▶	64.3%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	48.3%	(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)
	3.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
▶	100.0%	(/.f64 (expm1.f64 x) x)
▶	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
▶	48.0%	#s(literal 1 binary64)

Compiler

Compiled 118 to 82 computations (30.5% saved)

simplify161.0ms (1.6%)

Memory

3.8MiB live, 135.7MiB 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	132	60
3	210	60
4	246	60
5	277	60
6	320	60
7	410	60
8	546	60
9	894	60
10	1878	60
11	2260	60
12	2705	60
13	2990	60
14	3074	60
15	3143	60
16	3161	60
17	3161	60
0	3161	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)

localize64.0ms (0.6%)

Memory

9.2MiB live, 121.0MiB 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	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
✓	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%	(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	99.7%	(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	100.0%	(/.f64 (expm1.f64 x) x)

Samples

39.0ms

256×

valid

Compiler

Compiled 81 to 21 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 9.0ms (33.9% of total)

const: 6.0ms (22.6% of total)

ival-add: 5.0ms (18.8% of total)

ival-div: 4.0ms (15.1% of total)

ival-expm1: 2.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

-29.9MiB live, 9.9MiB 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
8.0ms	x	@	0	(+ (* x 1/6) 1/2)
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 1/6) 1/2)
0.0ms	x	@	-inf	(+ (* x (+ (* x 1/6) 1/2)) 1)

rewrite383.0ms (3.7%)

Memory

26.5MiB live, 658.8MiB 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	8554	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) (/.f64 (expm1.f64 x) (neg.f64 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)) (/.f64 (expm1.f64 x) (neg.f64 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) (exp.f64 x)) (/.f64 #s(literal -1 binary64) 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 (/.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)) (exp.f64 x)) (/.f64 #s(literal -1 binary64) 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 (/.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 (/.f64 (expm1.f64 x) (neg.f64 x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (expm1.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (neg.f64 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) (/.f64 (expm1.f64 x) (neg.f64 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)))

simplify524.0ms (5.1%)

Memory

-3.3MiB live, 387.4MiB 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)

eval98.0ms (1%)

Memory: 14.5MiB live, 172.7MiB allocated
Compiler: Compiled 16 107 to 1 518 computations (90.6% saved)

prune91.0ms (0.9%)

Memory

12.1MiB live, 213.5MiB allocated

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	818	18	836
Fresh	0	3	3
Picked	0	5	5
Done	0	0	0
Total	818	26	844

Accuracy

100.0%

Counts

844 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.1%	(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)))
	54.7%	(fma.f64 (.f64 (fma.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 x)) #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)))
	67.0%	(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)))
	67.1%	(fma.f64 x (fma.f64 (fma.f64 x (.f64 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))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	67.1%	(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	67.1%	(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))
▶	51.0%	(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 1/36 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))
	67.1%	(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))
	67.1%	(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))
✓	64.3%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	52.1%	(fma.f64 x (/.f64 (fma.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 x)) #s(literal -1/4 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))
▶	48.3%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
	51.5%	(/.f64 (fma.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 (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)))
▶	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)
	51.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x))) (.f64 x #s(literal 1/2 binary64))))
	3.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) 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))
✓	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
▶	22.4%	(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
	22.2%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
	19.5%	(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	22.0%	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
	19.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	48.0%	#s(literal 1 binary64)

Compiler

Compiled 749 to 448 computations (40.2% saved)

simplify581.0ms (5.7%)

Memory

-11.9MiB live, 262.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))) #s(literal 1/2 binary64))
✓	cost-diff	0	(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 1/36 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))
✓	cost-diff	128	(-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))
✓	cost-diff	128	(+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 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 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)
✓	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

7 706×	`lower-fma.f32`
7 686×	`lower-fma.f64`
3 714×	`lower-*.f32`
3 700×	`lower-*.f64`
2 158×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	250
0	65	240
1	140	239
2	314	238
3	659	237
4	1240	235
5	1479	235
6	1675	235
7	2264	235
8	4588	235
9	5473	235
10	5819	235
11	6297	235
12	6445	235
13	6610	235
14	6929	235
15	7222	235
0	8263	222

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)
(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 (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)
(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 1/36 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))
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 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))) #s(literal 1/2 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 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal 1/13824 binary64)
#s(literal 1/216 binary64)
(+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))
#s(literal 1/36 binary64)
(.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))
(-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))
(*.f64 x #s(literal 1/576 binary64))
#s(literal 1/576 binary64)
#s(literal 1/144 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 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))
(.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)
(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 (.f64 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 (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)
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)
(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 1/36 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 x (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
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 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))) #s(literal 1/2 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 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 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 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal 1/13824 binary64)
#s(literal 1/216 binary64)
(+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))
(fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))
(*.f64 x #s(literal 1/576 binary64))
#s(literal 1/576 binary64)
#s(literal 1/144 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize241.0ms (2.3%)

Memory

-2.4MiB live, 204.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/576 binary64))
✓	accuracy	68.6%	(/.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 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 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 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	97.1%	(/.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)
✓	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	97.1%	(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

148.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 282 to 45 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

const: 54.0ms (46.3% of total)

ival-mult: 43.0ms (36.9% of total)

ival-add: 12.0ms (10.3% of total)

ival-div: 5.0ms (4.3% of total)

ival-sub: 1.0ms (0.9% 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)

series31.0ms (0.3%)

Memory

-21.9MiB live, 24.6MiB 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 (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 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))>
#<alt (-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))>
#<alt (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 1/36 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))>
#<alt (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 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 (/.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 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))>
#<alt (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))>
#<alt (.f64 x (.f64 x 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 (* 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 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 1/36>
#<alt (+ 1/36 (* -1/144 x))>
#<alt (+ 1/36 (* x (- (* 1/576 x) 1/144)))>
#<alt (+ 1/36 (* x (- (* 1/576 x) 1/144)))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))>
#<alt -1/144>
#<alt (- (* 1/576 x) 1/144)>
#<alt (- (* 1/576 x) 1/144)>
#<alt (- (* 1/576 x) 1/144)>
#<alt (* 1/576 x)>
#<alt (* x (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* x (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* x (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* 1/576 x)>
#<alt (* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))>
#<alt (* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))>
#<alt (* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))>
#<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 (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<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 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<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 (* -1/144 x)>
#<alt (* x (- (* 1/576 x) 1/144))>
#<alt (* x (- (* 1/576 x) 1/144))>
#<alt (* x (- (* 1/576 x) 1/144))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<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)>

Calls

60 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	(+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (* x (- (* x 1/576) 1/144))))) 1/2)
1.0ms	x	@	-inf	(/ (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) x)
0.0ms	x	@	inf	(/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (* x (- (* x 1/576) 1/144))))
0.0ms	x	@	inf	(* (* x x) (+ (* x (* x 1/576)) -1/36))
0.0ms	x	@	0	(* (* x x) (+ (* x (* x 1/576)) -1/36))

rewrite506.0ms (4.9%)

Memory

-21.8MiB live, 518.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 516×	`lower-/.f32`
4 510×	`lower-/.f64`
4 350×	`lower-*.f32`
4 336×	`lower-*.f64`
4 058×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	194
0	65	185
1	309	176
2	2506	176
0	8332	165

Stop Event

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

Counts

20 → 950

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 (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 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))
(-.f64 (*.f64 x #s(literal 1/576 binary64)) #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 1/36 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 x (/.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 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 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))
(/.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 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))
(.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))
(.f64 x (.f64 x x))

Outputs
(+.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 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(+.f64 (*.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 (.f64 x (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 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
(+.f64 (fma.f64 x (.f64 x (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 x x) (.f64 (fma.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 (.f64 x (.f64 x (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 x (.f64 x (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 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) (/.f64 (.f64 (.f64 x x) (.f64 (fma.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 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
(-.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 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (-.f64 (.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 binary64) (-.f64 (*.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 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.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 (*.f64 x (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) (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 x (.f64 x (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 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 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 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (/.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) #s(literal 1 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 x (.f64 x (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 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 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)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 x #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 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 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 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 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 (.f64 x x) (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 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) (/.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) (-.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)))
(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)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (/.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)))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.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 (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))))))
(+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (*.f64 x #s(literal -1/144 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (*.f64 #s(literal -1/144 binary64) x))
(fma.f64 x (.f64 x #s(literal 1/576 binary64)) (.f64 x #s(literal -1/144 binary64)))
(fma.f64 x (.f64 x #s(literal 1/576 binary64)) (.f64 #s(literal -1/144 binary64) x))
(fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/144 binary64)))
(fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 #s(literal -1/144 binary64) x))
(fma.f64 (.f64 x x) #s(literal 1/576 binary64) (.f64 x #s(literal -1/144 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/576 binary64) (.f64 #s(literal -1/144 binary64) x))
(fma.f64 #s(literal 1/576 binary64) (.f64 x x) (.f64 x #s(literal -1/144 binary64)))
(fma.f64 #s(literal 1/576 binary64) (.f64 x x) (.f64 #s(literal -1/144 binary64) x))
(fma.f64 (.f64 x #s(literal 1/576 binary64)) x (.f64 x #s(literal -1/144 binary64)))
(fma.f64 (.f64 x #s(literal 1/576 binary64)) x (.f64 #s(literal -1/144 binary64) x))
(fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x #s(literal -1/144 binary64)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/144 binary64) x))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal -1/144 binary64)))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64)) (*.f64 #s(literal -1/144 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/144 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/144 binary64) x))
(fma.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) x (*.f64 x #s(literal -1/144 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) x (*.f64 #s(literal -1/144 binary64) x))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64) #s(literal -1/2985984 binary64))) (fma.f64 (.f64 x x) #s(literal 1/331776 binary64) (fma.f64 x #s(literal 1/82944 binary64) #s(literal 1/20736 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/331776 binary64) #s(literal -1/20736 binary64))) (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64) #s(literal -1/2985984 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/331776 binary64) (fma.f64 x #s(literal 1/82944 binary64) #s(literal 1/20736 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/331776 binary64) #s(literal -1/20736 binary64)) x) (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64)))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64) #s(literal -1/2985984 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/331776 binary64) (fma.f64 x #s(literal 1/82944 binary64) #s(literal 1/20736 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/331776 binary64) #s(literal -1/20736 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64) #s(literal -1/2985984 binary64)) x)) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/331776 binary64) (fma.f64 x #s(literal 1/82944 binary64) #s(literal 1/20736 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/331776 binary64) #s(literal -1/20736 binary64)) x)) (neg.f64 (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(*.f64 (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

simplify470.0ms (4.6%)

Memory

41.2MiB live, 390.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 446×	`lower-fma.f64`
11 446×	`lower-fma.f32`
3 546×	`lower-*.f64`
3 546×	`lower-*.f32`
1 968×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1600
1	377	1591
2	993	1568
3	2957	1516
4	6975	1516
0	8310	1306

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 239

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)))
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)))))
1/36
(+ 1/36 (* -1/144 x))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
-1/144
(- (* 1/576 x) 1/144)
(- (* 1/576 x) 1/144)
(- (* 1/576 x) 1/144)
(* 1/576 x)
(* x (- 1/576 (* 1/144 (/ 1 x))))
(* x (- 1/576 (* 1/144 (/ 1 x))))
(* x (- 1/576 (* 1/144 (/ 1 x))))
(* 1/576 x)
(* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))
(* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))
(* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))
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
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(* 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 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
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))))
(* -1/144 x)
(* x (- (* 1/576 x) 1/144))
(* x (- (* 1/576 x) 1/144))
(* x (- (* 1/576 x) 1/144))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(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)

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)))))
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(* 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)
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(- (* 1/24 x) 1/6)
(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 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(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))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))
(* x (- (* 1/576 x) 1/144))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* x (- (* 1/576 x) 1/144))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* x (- (* 1/576 x) 1/144))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval396.0ms (3.9%)

Memory: -19.9MiB live, 413.9MiB allocated
Compiler: Compiled 46 461 to 3 640 computations (92.2% saved)

prune216.0ms (2.1%)

Memory

-18.0MiB live, 432.5MiB allocated

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	1 337	15	1 352
Fresh	8	8	16
Picked	4	1	5
Done	0	5	5
Total	1 349	29	1 378

Accuracy

100.0%

Counts

1 378 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.1%	(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)))
	48.0%	(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)))
	67.0%	(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)))
▶	22.3%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
	67.1%	(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	67.1%	(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))
	47.2%	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (fma.f64 x #s(literal -1/144 binary64) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
▶	70.7%	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	64.3%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	48.3%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
▶	68.2%	(/.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)
	51.5%	(/.f64 (fma.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 (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)))
	67.0%	(/.f64 (fma.f64 x (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x)
	3.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
	28.7%	(/.f64 (.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) (-.f64 (.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 (-.f64 (.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)))
	23.5%	(/.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)
	23.5%	(/.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
	23.0%	(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
	22.4%	(.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) x)
	22.4%	(.f64 (.f64 x 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))))
▶	22.0%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
	19.7%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
	22.2%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
	19.5%	(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	22.0%	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
▶	3.9%	(*.f64 #s(literal 1/2 binary64) x)
✓	48.0%	#s(literal 1 binary64)

Compiler

Compiled 690 to 406 computations (41.2% saved)

simplify315.0ms (3.1%)

Memory

37.0MiB live, 348.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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 (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)
✓	cost-diff	1024	(/.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)
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	640	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/6 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 x #s(literal 1/24 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))
✓	cost-diff	0	(fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	704	(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64))

Rules

6 748×	`lower-fma.f32`
6 734×	`lower-fma.f64`
4 326×	`lower-*.f32`
4 312×	`lower-*.f64`
2 216×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	156
0	46	140
1	89	138
2	157	138
3	277	137
4	459	135
5	618	135
6	956	135
7	1473	132
8	3744	132
9	4223	132
10	4898	132
11	5507	132
12	5915	132
13	6293	132
14	6860	132
0	8509	128

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal 1/13824 binary64)
#s(literal 1/216 binary64)
#s(literal 1/36 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(*.f64 x x)
x
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1/24 binary64)
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 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) 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) 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 #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 x x)

Outputs
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/384 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/384 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/384 binary64)) #s(literal 1/6 binary64))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal 1/13824 binary64)
#s(literal 1/216 binary64)
#s(literal 1/36 binary64)
#s(literal 1/2 binary64)
#s(literal 1 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 x #s(literal 1/24 binary64)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 x x)
x
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1/24 binary64)
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 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) 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 (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 (*.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)
(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 #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 x x)

localize106.0ms (1%)

Memory

-2.0MiB live, 271.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(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)
✓	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	97.1%	(/.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)
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	92.4%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.9%	(fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))
✓	accuracy	99.9%	(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x x))

Samples

65.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 175 to 32 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 20.0ms (43.5% of total)

const: 14.0ms (30.5% of total)

ival-add: 8.0ms (17.4% of total)

ival-div: 4.0ms (8.7% 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)

series15.0ms (0.1%)

Memory

-20.6MiB live, 27.6MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64))>
#<alt (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))>
#<alt (*.f64 x x)>
#<alt (*.f64 x #s(literal 1/24 binary64))>
#<alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))>
#<alt (.f64 x (.f64 x x))>
#<alt (.f64 x (.f64 x #s(literal 1/6 binary64)))>
#<alt (/.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)>
#<alt (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)>
#<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 x #s(literal 1/6 binary64))>

Outputs
#<alt 1/6>
#<alt (+ 1/6 (* 1/384 (pow x 3)))>
#<alt (+ 1/6 (* 1/384 (pow x 3)))>
#<alt (+ 1/6 (* 1/384 (pow x 3)))>
#<alt (* 1/384 (pow x 3))>
#<alt (* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* 1/384 (pow x 3))>
#<alt (* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))))>
#<alt (* 1/384 (pow x 5))>
#<alt (* (pow x 5) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* (pow x 5) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))>
#<alt (* (pow x 5) (+ 1/384 (+ (/ 1/2 (pow x 4)) (+ (* 1/6 (/ 1 (pow x 3))) (/ 1 (pow x 5))))))>
#<alt (* 1/384 (pow x 5))>
#<alt (* (pow x 5) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) (pow x 3))) 1/384)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) (pow x 3))) 1/384)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))>
#<alt (* 1/384 (pow x 4))>
#<alt (* (pow x 4) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))>
#<alt (* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))>
#<alt (* 1/384 (pow x 4))>
#<alt (* (pow x 4) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))>
#<alt (* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))>
#<alt 1/216>
#<alt (+ 1/216 (* 1/13824 (pow x 3)))>
#<alt (+ 1/216 (* 1/13824 (pow x 3)))>
#<alt (+ 1/216 (* 1/13824 (pow x 3)))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<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 (* 1/24 (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 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 (* 1/6 (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 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 (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (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 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>
#<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 (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* 1/2 x)
0.0ms	x	@	-inf	(* x 1/6)
0.0ms	x	@	-inf	(* (* x x) (* x 1/24))
0.0ms	x	@	-inf	(+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) 1/36)) 1/2)) 1)
0.0ms	x	@	inf	(* (* x x) (* x 1/24))

rewrite473.0ms (4.6%)

Memory

19.8MiB live, 819.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 006×	`lower-fma.f32`
7 992×	`lower-fma.f64`
4 348×	`lower-*.f32`
4 334×	`lower-*.f64`
3 712×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	125
0	46	111
1	191	109
2	1363	109
0	8209	109

Stop Event

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

Counts

16 → 504

Calls

Call 1

Inputs
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 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)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(*.f64 x x)
(*.f64 x #s(literal 1/24 binary64))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(.f64 x (.f64 x x))
(.f64 x (.f64 x #s(literal 1/6 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) 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) 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))
(*.f64 x #s(literal 1/6 binary64))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal -36 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/36 binary64)) (/.f64 (/.f64 #s(literal 1/46656 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/36 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1/46656 binary64) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))))
(neg.f64 (.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal -36 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal -36 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 1/36 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/36 binary64) (+.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal 1/46656 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/2641807540224 binary64)) #s(literal 1/10077696 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal 1/46656 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 binary64))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/2641807540224 binary64)) #s(literal 1/10077696 binary64)) #s(literal 36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal 36 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64)) #s(literal -1/36 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/2641807540224 binary64)) #s(literal 1/10077696 binary64)) (.f64 #s(literal 1/36 binary64) (+.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal 1/46656 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2985984 binary64)))))
(/.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/2641807540224 binary64)) #s(literal 1/10077696 binary64))) (neg.f64 (.f64 #s(literal 1/36 binary64) (+.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal 1/46656 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2985984 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64))) (neg.f64 (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/2641807540224 binary64)) #s(literal 1/10077696 binary64)) #s(literal 36 binary64)) (+.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal 1/46656 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2985984 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal 36 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))
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(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))
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(neg.f64 (/.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))))
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (.f64 x #s(literal -1/144 binary64)))))
(neg.f64 (/.f64 (neg.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 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (.f64 x #s(literal -1/144 binary64))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (.f64 x #s(literal -1/144 binary64)))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (neg.f64 (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (.f64 x #s(literal -1/144 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
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(/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (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))) (.f64 (/.f64 (.f64 (*.f64 x 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 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (/.f64 (.f64 (.f64 x 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 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x 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)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (*.f64 x #s(literal -1/144 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) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 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))))
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(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)

simplify280.0ms (2.7%)

Memory

10.4MiB live, 601.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 708×	`lower-fma.f64`
10 708×	`lower-fma.f32`
3 910×	`lower-*.f64`
3 910×	`lower-*.f32`
1 656×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	1174
1	390	1173
2	1080	1162
3	3329	1144
4	6718	1136
0	8158	1038

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 191

Calls

Call 1

Inputs
1/6
(+ 1/6 (* 1/384 (pow x 3)))
(+ 1/6 (* 1/384 (pow x 3)))
(+ 1/6 (* 1/384 (pow x 3)))
(* 1/384 (pow x 3))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* 1/384 (pow x 3))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))))
(* 1/384 (pow x 5))
(* (pow x 5) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* (pow x 5) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(* (pow x 5) (+ 1/384 (+ (/ 1/2 (pow x 4)) (+ (* 1/6 (/ 1 (pow x 3))) (/ 1 (pow x 5))))))
(* 1/384 (pow x 5))
(* (pow x 5) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) (pow x 3))) 1/384)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) (pow x 3))) 1/384)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))
(+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))
(* 1/384 (pow x 4))
(* (pow x 4) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(* 1/384 (pow x 4))
(* (pow x 4) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
1/216
(+ 1/216 (* 1/13824 (pow x 3)))
(+ 1/216 (* 1/13824 (pow x 3)))
(+ 1/216 (* 1/13824 (pow x 3)))
(* 1/13824 (pow x 3))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* 1/13824 (pow x 3))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* 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)
(* 1/24 (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 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)
(* 1/6 (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 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)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (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)))
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
(+ 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))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)

Outputs
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/384 (pow x 3)))
(fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/384 (pow x 3)))
(fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/384 (pow x 3)))
(fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64))
(* 1/384 (pow x 3))
(.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64))
(* 1/384 (pow x 3))
(.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64))
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 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/384 (pow x 5))
(.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(.f64 (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 5) (+ 1/384 (+ (/ 1/2 (pow x 4)) (+ (* 1/6 (/ 1 (pow x 3))) (/ 1 (pow x 5))))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
(* 1/384 (pow x 5))
(.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(.f64 (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) (pow x 3))) 1/384)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/384 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) (pow x 3))) 1/384)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/384 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 x (*.f64 x x)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))
(fma.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))
(fma.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/384 (pow x 4))
(.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))
(* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/384 (pow x 4))
(.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))
(* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
1/216
#s(literal 1/216 binary64)
(+ 1/216 (* 1/13824 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(+ 1/216 (* 1/13824 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(+ 1/216 (* 1/13824 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* 1/13824 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* 1/13824 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 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))
(* 1/6 (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 (*.f64 x x) #s(literal 1/24 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))))
(* (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 (*.f64 x x) #s(literal 1/24 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))))
(* (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)
(.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))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x 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 #s(literal 1/6 binary64) x #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 (*.f64 x x) #s(literal 1/24 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 (+ (/ 1/2 (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 (*.f64 x x) #s(literal 1/24 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 (* (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 (*.f64 x x) #s(literal 1/2 binary64) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/6 binary64) x #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)
(* 1/24 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/24 binary64)))
(* (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 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64)))
(* 1/24 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/24 binary64)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x)) x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 #s(literal 1/6 binary64) x #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 (.f64 x x) #s(literal 1/24 binary64))
(* (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 (.f64 x x) #s(literal 1/24 binary64))
(* (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))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)

eval200.0ms (1.9%)

Memory: 7.0MiB live, 240.4MiB allocated
Compiler: Compiled 23 574 to 1 904 computations (91.9% saved)

prune110.0ms (1.1%)

Memory

-4.5MiB live, 288.4MiB allocated

Pruning

38 alts after pruning (29 fresh and 9 done)

	Pruned	Kept	Total
New	750	19	769
Fresh	8	10	18
Picked	2	3	5
Done	0	6	6
Total	760	38	798

Accuracy

100.0%

Counts

798 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.1%	(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)))
	52.0%	(fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1296 binary64) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64)) (*.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
	70.7%	(fma.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 36 binary64)) (.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	48.0%	(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)))
	67.0%	(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)))
	52.1%	(fma.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	70.7%	(fma.f64 x (fma.f64 (/.f64 x #s(literal 1/36 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	51.3%	(fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)))) (/.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	70.7%	(fma.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64))) #s(literal -36 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	67.1%	(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	67.1%	(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))
	70.7%	(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	51.3%	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	47.2%	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (fma.f64 x #s(literal -1/144 binary64) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	70.7%	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	70.7%	(fma.f64 x (fma.f64 x (/.f64 (+.f64 (neg.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	70.7%	(fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	70.3%	(fma.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	64.3%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	69.6%	(fma.f64 x (.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
	69.6%	(fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))
✓	48.3%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	68.2%	(/.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)
	3.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
	28.7%	(/.f64 (.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) (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))) (neg.f64 x))) (.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))) (neg.f64 x)) x))
	6.0%	(/.f64 (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
	22.4%	(.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) x)
	22.0%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
	22.0%	(.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)
✓	22.0%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
	19.7%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
	22.2%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
	19.5%	(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	3.9%	(*.f64 #s(literal 1/2 binary64) x)
	25.6%	(.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
✓	48.0%	#s(literal 1 binary64)

Compiler

Compiled 1 553 to 569 computations (63.4% saved)

regimes36.0ms (0.3%)

Memory

-28.0MiB live, 85.3MiB allocated

Counts

61 → 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 #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 (*.f64 x #s(literal 1/24 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 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 (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 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) #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)))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)
(/.f64 (fma.f64 x (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x)
(fma.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64))) #s(literal -36 binary64) #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)
(/.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 (.f64 x 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))))
(/.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 36 binary64)) (.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 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 (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 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)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 x #s(literal 1/36 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 1/2 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)))
(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 (+.f64 (neg.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) #s(literal 1/216 binary64)) #s(literal 1/36 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 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (fma.f64 x #s(literal -1/144 binary64) #s(literal 1/36 binary64))) #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 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 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 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 1/36 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 x (/.f64 (fma.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 x)) #s(literal -1/4 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 (.f64 (fma.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 x)) #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))
(/.f64 (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(/.f64 (fma.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 (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)))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)))) (/.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.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) (-.f64 (.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 (-.f64 (.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 (.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) (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))) (neg.f64 x))) (.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))) (neg.f64 x)) x))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x))) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1296 binary64) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64)) (*.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 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))

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

Calls

2 calls:

17.0ms	x
13.0ms	(/.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)

regimes34.0ms (0.3%)

Memory

17.6MiB live, 98.5MiB allocated

Counts

58 → 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 #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 (*.f64 x #s(literal 1/24 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 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 (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 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) #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)))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)
(/.f64 (fma.f64 x (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x)
(fma.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64))) #s(literal -36 binary64) #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)
(/.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 (.f64 x 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))))
(/.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 36 binary64)) (.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 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 (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 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)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 x #s(literal 1/36 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 1/2 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)))
(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 (+.f64 (neg.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) #s(literal 1/216 binary64)) #s(literal 1/36 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 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (fma.f64 x #s(literal -1/144 binary64) #s(literal 1/36 binary64))) #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 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 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 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 1/36 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 x (/.f64 (fma.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 x)) #s(literal -1/4 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 (.f64 (fma.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 x)) #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))
(/.f64 (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(/.f64 (fma.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 (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)))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)))) (/.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.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) (-.f64 (.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 (-.f64 (.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 (.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) (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))) (neg.f64 x))) (.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))) (neg.f64 x)) x))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x))) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1296 binary64) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64)) (*.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))

Outputs

(fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1296 binary64) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64)) (*.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))

(*.f64 #s(literal 1/384 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))

Calls

2 calls:

16.0ms	x
15.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
72.7%	2	`x`
70.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes71.0ms (0.7%)

Memory

-1.5MiB live, 74.9MiB allocated

Counts

57 → 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 #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 (*.f64 x #s(literal 1/24 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 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 (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 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) #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)))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)
(/.f64 (fma.f64 x (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x)
(fma.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64))) #s(literal -36 binary64) #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)
(/.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 (.f64 x 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))))
(/.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 36 binary64)) (.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 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 (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 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)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 x #s(literal 1/36 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 1/2 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)))
(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 (+.f64 (neg.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) #s(literal 1/216 binary64)) #s(literal 1/36 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 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (fma.f64 x #s(literal -1/144 binary64) #s(literal 1/36 binary64))) #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 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 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 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 1/36 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 x (/.f64 (fma.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 x)) #s(literal -1/4 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 (.f64 (fma.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 x)) #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))
(/.f64 (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(/.f64 (fma.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 (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)))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)))) (/.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.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) (-.f64 (.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 (-.f64 (.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 (.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) (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))) (neg.f64 x))) (.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))) (neg.f64 x)) x))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x)))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x))) (.f64 x #s(literal 1/2 binary64))))

Outputs
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))

Calls

2 calls:

52.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
16.0ms	x

Results

Accuracy	Segments	Branch
70.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
70.7%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes39.0ms (0.4%)

Memory

-10.7MiB live, 31.1MiB allocated

Counts

23 → 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 #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 (*.f64 x #s(literal 1/24 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 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 (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 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64))

Outputs
(fma.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64))

Calls

2 calls:

32.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
70.3%	1	`x`
70.3%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-2.9MiB live, 36.2MiB allocated

Counts

22 → 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 #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 (*.f64 x #s(literal 1/24 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 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 (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 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))

Outputs

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

(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/384 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/6 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
71.3%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
71.3%	2	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-1.8MiB live, 37.3MiB allocated

Counts

21 → 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 #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 (*.f64 x #s(literal 1/24 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 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 (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 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (.f64 x (.f64 x #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 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))

Calls

2 calls:

6.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
71.3%	2	`x`
71.3%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

29.7MiB live, 29.7MiB allocated

Counts

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

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:

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

Results

Accuracy	Segments	Branch
67.1%	1	`x`
67.1%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-11.7MiB live, 27.2MiB allocated

Counts

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

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:

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

regimes11.0ms (0.1%)

Memory

-14.3MiB live, 25.9MiB 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 #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 (*.f64 x #s(literal 1/24 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) x)

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:

7.0ms	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

18.9MiB live, 18.9MiB 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 #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 (*.f64 x #s(literal 1/24 binary64))) x)
(.f64 (.f64 x (*.f64 x 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)

regimes7.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

8 → 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 #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:

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

Results

Accuracy	Segments	Branch
64.3%	1	`x`
64.3%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-26.6MiB live, 12.8MiB 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
#s(literal 1 binary64)
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))

Calls

2 calls:

4.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
63.7%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
63.7%	2	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes5.0ms (0%)

Memory

15.5MiB live, 15.5MiB 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
#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
63.7%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
63.7%	2	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes4.0ms (0%)

Memory

11.7MiB live, 11.7MiB 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
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)

regimes4.0ms (0%)

Memory

-28.8MiB live, 10.2MiB allocated

Accuracy

Total -28.7b remaining (-86.3%)

Threshold costs -28.7b (-86.3%)

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:

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

Results

Accuracy	Segments	Branch
48.0%	1	`x`
48.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch3.0ms (0%)

Memory

8.0MiB live, 8.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.0997361697249082e+56	1.488813937540831e+64

Samples

1.0ms

32×

valid

Compiler

Compiled 126 to 73 computations (42.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

ival-expm1: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0314631074528793	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0314631074528793	+inf

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	1.0314631074528793	+inf

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	1.0314631074528793	+inf

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	1.0314631074528793	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch13.0ms (0.1%)

Memory

-11.2MiB live, 25.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.06163996023747973	723.2787749111754

Samples

5.0ms

128×

valid

Compiler

Compiled 98 to 79 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-expm1: 2.0ms (73.8% of total)

ival-div: 1.0ms (36.9% of total)

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

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

bsearch6.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.06163996023747973	723.2787749111754

Samples

3.0ms

80×

valid

Compiler

Compiled 90 to 71 computations (21.1% saved)

Precisions

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

ival-div: 1.0ms (66.1% of total)

ival-expm1: 1.0ms (66.1% of total)

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

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

simplify13.0ms (0.1%)

Memory

-27.9MiB live, 26.6MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`+-commutative_binary64`
2×	`mul-1-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	260
1	94	260
2	97	260
3	101	260

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 1999999999999999898774270594148037733927290022026820146167808 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1296 binary64) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64)) (.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x))) #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)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (*.f64 x x)) #s(literal 1/6 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 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x (*.f64 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 3039929748475085/2251799813685248 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 5/2 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 1999999999999999898774270594148037733927290022026820146167808 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1296 binary64) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64)) (.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(if (<=.f64 x #s(literal 1999999999999999898774270594148037733927290022026820146167808 binary64)) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 #s(literal 1296 binary64) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64)) (.f64 x #s(literal 36 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/384 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)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (*.f64 x x)) #s(literal 1/6 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)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/384 binary64) (.f64 x (*.f64 x x)) #s(literal 1/6 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 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x (*.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 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x (*.f64 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 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 (.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))))
(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 (*.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))
(if (<=.f64 x #s(literal 3039929748475085/2251799813685248 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness3.0s (29.2%)

Memory

14.6MiB live, 1 239.8MiB allocated

Rules

11 596×	`lower-fma.f32`
11 586×	`lower-fma.f64`
11 446×	`lower-fma.f64`
11 446×	`lower-fma.f32`
10 708×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	1174
1	390	1173
2	1080	1162
3	3329	1144
4	6718	1136
0	8158	1038
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	119	1600
1	377	1591
2	993	1568
3	2957	1516
4	6975	1516
0	8310	1306
0	14	47
0	29	45
1	145	45
2	1156	45
0	8554	45
0	5	12
0	8	12
1	35	12
2	220	12
3	2299	12
0	8893	8
0	24	125
0	46	111
1	191	109
2	1363	109
0	8209	109

Stop Event

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

Compiler

Compiled 616 to 330 computations (46.4% saved)

preprocess169.0ms (1.7%)

Memory: 1.5MiB live, 284.1MiB allocated
Compiler: Compiled 582 to 178 computations (69.4% 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%)

sample473.0ms (4.6%)

preprocess60.0ms (0.6%)

explain66.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.3%)

localize18.0ms (0.2%)

series2.0ms (0%)

rewrite323.0ms (3.2%)

simplify410.0ms (4%)

eval57.0ms (0.6%)

prune64.0ms (0.6%)

simplify161.0ms (1.6%)

localize64.0ms (0.6%)

series12.0ms (0.1%)

rewrite383.0ms (3.7%)

simplify524.0ms (5.1%)

eval98.0ms (1%)

prune91.0ms (0.9%)

simplify581.0ms (5.7%)

localize241.0ms (2.3%)

series31.0ms (0.3%)

rewrite506.0ms (4.9%)

simplify470.0ms (4.6%)

eval396.0ms (3.9%)

prune216.0ms (2.1%)

simplify315.0ms (3.1%)

localize106.0ms (1%)

series15.0ms (0.1%)

rewrite473.0ms (4.6%)

simplify280.0ms (2.7%)

eval200.0ms (1.9%)

prune110.0ms (1.1%)

regimes36.0ms (0.3%)

regimes34.0ms (0.3%)

regimes71.0ms (0.7%)

regimes39.0ms (0.4%)

regimes14.0ms (0.1%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.1%)

bsearch6.0ms (0.1%)

simplify13.0ms (0.1%)

soundness3.0s (29.2%)

preprocess169.0ms (1.7%)

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