Metrics for expq2 (section 3.11)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
50%	37.6%	37.6%	24.8%	0%	0%	0%	2
75%	56.4%	18.8%	24.8%	0%	0%	0%	3
87.5%	65.8%	9.4%	24.8%	0%	0%	0%	4
93.8%	70.5%	4.7%	24.8%	0%	0%	0%	5
96.9%	72.8%	2.3%	24.8%	0%	0%	0%	6
98.4%	74%	1.2%	24.8%	0%	0%	0%	7
99.2%	74.6%	0.6%	24.8%	0%	0%	0%	8
99.6%	74.9%	0.3%	24.8%	0%	0%	0%	9
99.8%	75%	0.1%	24.8%	0%	0%	0%	10
99.9%	75.1%	0.1%	24.8%	0%	0%	0%	11
100%	75.1%	0%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample669.0ms (11.5%)

Memory

18.4MiB live, 761.6MiB allocated

Samples

464.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-div: 69.0ms (31% of total)

ival-exp: 66.0ms (29.6% of total)

ival-expm1: 53.0ms (23.8% of total)

ival->: 24.0ms (10.8% of total)

exact: 8.0ms (3.6% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain64.0ms (1.1%)

Memory

2.8MiB live, 79.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	163	0

Confusion

	Predicted +	Predicted -
+	163	0
-	0	93

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	163	0	0
-	0	0	93

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	93
1	163

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 56 to 24 computations (57.1% saved)

Precisions

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

ival-div: 4.0ms (32.8% of total)

ival-exp: 4.0ms (32.8% of total)

ival-expm1: 3.0ms (24.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess22.0ms (0.4%)

Memory

22.2MiB live, 22.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	22	19
2	42	18
3	78	18
4	132	12
5	242	12
6	343	12
7	448	12
8	565	12
9	606	12
10	634	12
11	684	12
0	5	7
0	8	7
1	13	7
2	14	7
0	14	5

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.2%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	13	15
2	14	15
0	14	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.4%)

Memory

-20.3MiB live, 21.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.0234375	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
accuracy	36.69496285756472	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

15.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-expm1: 3.0ms (42.1% of total)

ival-div: 2.0ms (28.1% of total)

ival-exp: 2.0ms (28.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

3 → 36

Calls

Call 1

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

Inputs

#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())

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

#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())

Calls

3 calls:

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

simplify166.0ms (2.9%)

Memory

10.5MiB live, 121.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	202
1	122	202
2	258	202
3	574	202
4	829	202
5	972	202
6	994	202
7	1088	196
8	1506	196
9	1981	196
10	3369	196
11	4928	196
12	5214	196
13	5579	196
14	6128	196
15	6868	196
0	10258	150

Stop Event

1×	iter limit
1×	node limit

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)))))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(exp x)
(exp x)
(exp x)
(exp x)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(exp x)
(exp x)
(exp x)
(exp x)

Outputs
x
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(expm1.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)

rewrite160.0ms (2.7%)

Memory

8.0MiB live, 159.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	33	13
2	188	13
3	1808	13
0	8774	9

Stop Event

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

Counts

3 → 351

Calls

Call 1

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

Outputs
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eval68.0ms (1.2%)

Memory: 13.8MiB live, 95.0MiB allocated
Compiler: Compiled 9 764 to 1 223 computations (87.5% saved)

prune14.0ms (0.2%)

Memory

-6.9MiB live, 30.7MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	405	8	413
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	406	8	414

Accuracy

100.0%

Counts

414 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	98.9%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
▶	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
	64.4%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
▶	64.4%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
▶	63.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
	64.2%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 202 to 152 computations (24.8% saved)

simplify183.0ms (3.1%)

Memory

-31.1MiB live, 103.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (exp.f64 x) #s(literal -1 binary64))
cost-diff	0	(fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
cost-diff	0	(/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(expm1.f64 (neg.f64 x))
cost-diff	0	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	156
0	50	156
1	77	156
2	115	156
3	156	156
4	275	156
5	424	156
6	549	156
7	706	156
8	1123	156
9	2482	156
10	3969	156
11	4894	156
12	5480	156
13	6114	156
14	7675	156
0	8029	148

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
#s(literal -1 binary64)
(expm1.f64 (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/12 binary64)
x
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(exp.f64 x)
x
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
x
#s(literal -1 binary64)
#s(literal 1 binary64)
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)

Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
#s(literal -1 binary64)
(expm1.f64 (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(literal 1/12 binary64)
x
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(exp.f64 x)
x
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
x
#s(literal -1 binary64)
#s(literal 1 binary64)
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)

localize99.0ms (1.7%)

Memory

25.6MiB live, 101.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))
accuracy	0.02734375	(*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
accuracy	0.13671875	(expm1.f64 (*.f64 #s(literal 3 binary64) x))
accuracy	0.140625	(/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
accuracy	0	(exp.f64 x)
accuracy	0.01171875	(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
accuracy	0.0234375	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
accuracy	23.480684233276957	#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy	0.13671875	(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
accuracy	22.79750657403016	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	23.111438697759986	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy	0	(neg.f64 x)
accuracy	0	(expm1.f64 (neg.f64 x))
accuracy	0.0234375	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))

Samples

46.0ms	227×	0	valid
13.0ms	10×	2	valid
8.0ms	19×	1	valid

Compiler

Compiled 301 to 57 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-expm1: 17.0ms (34.1% of total)

ival-mult: 9.0ms (18.1% of total)

ival-div: 8.0ms (16% of total)

ival-add: 5.0ms (10% of total)

const: 4.0ms (8% of total)

adjust: 2.0ms (4% of total)

ival-exp: 2.0ms (4% of total)

ival-sub: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

series33.0ms (0.6%)

Memory

-15.8MiB live, 27.7MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (+ (* (- (exp x) -1) (exp x)) 1) (- (exp x) -1) (- (exp (* 3 x)) 1))
3.0ms	x	@	inf	((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (+ (* (- (exp x) -1) (exp x)) 1) (- (exp x) -1) (- (exp (* 3 x)) 1))
3.0ms	x	@	0	((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (+ (* (- (exp x) -1) (exp x)) 1) (- (exp x) -1) (- (exp (* 3 x)) 1))

Time

Variable

Point

Expression

4.0ms

-inf

((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (+ (* (- (exp x) -1) (exp x)) 1) (- (exp x) -1) (- (exp (* 3 x)) 1))

3.0ms

inf

((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (+ (* (- (exp x) -1) (exp x)) 1) (- (exp x) -1) (- (exp (* 3 x)) 1))

3.0ms

((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (+ (* (- (exp x) -1) (exp x)) 1) (- (exp x) -1) (- (exp (* 3 x)) 1))

simplify152.0ms (2.6%)

Memory

15.5MiB live, 126.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	1413
1	398	1413
2	843	1409
3	1941	1379
4	3774	1379
5	5329	1357
0	8266	1128

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 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)))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
3
(+ 3 (* 6 x))
(+ 3 (* x (+ 6 (* 7 x))))
(+ 3 (* x (+ 6 (* x (+ 7 (* 6 x))))))
3
(+ 3 (* 3 x))
(+ 3 (* x (+ 3 (* 5/2 x))))
(+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x))))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* 3 x)
(* x (+ 3 (* 9/2 x)))
(* x (+ 3 (* x (+ 9/2 (* 9/2 x)))))
(* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x)))))))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(exp x)
(exp x)
(exp x)
(exp x)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(* (exp x) (+ 1 (* (exp x) (+ 1 (exp x)))))
(* (exp x) (+ 1 (* (exp x) (+ 1 (exp x)))))
(* (exp x) (+ 1 (* (exp x) (+ 1 (exp 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 (exp x))))
(+ 1 (* (exp x) (+ 1 (exp x))))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(- (exp (* 3 x)) 1)
(- (exp (* 3 x)) 1)
(- (exp (* 3 x)) 1)
(- (exp (* 3 x)) 1)
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(exp x)
(exp x)
(exp x)
(exp x)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(* (exp x) (+ 1 (* (exp x) (+ 1 (exp x)))))
(* (exp x) (+ 1 (* (exp x) (+ 1 (exp x)))))
(* (exp x) (+ 1 (* (exp x) (+ 1 (exp 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 (exp x))))
(+ 1 (* (exp x) (+ 1 (exp x))))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(- (exp (* 3 x)) 1)
(- (exp (* 3 x)) 1)
(- (exp (* 3 x)) 1)
(- (exp (* 3 x)) 1)

Outputs
(/.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(neg.f64 x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(/.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
x
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
x
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
#s(literal 3 binary64)
(fma.f64 #s(literal 6 binary64) x #s(literal 3 binary64))
(fma.f64 (fma.f64 #s(literal 7 binary64) x #s(literal 6 binary64)) x #s(literal 3 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 7 binary64)) x #s(literal 6 binary64)) x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal 3 binary64))
(fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 3 binary64)) x #s(literal 3 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 5/2 binary64)) x #s(literal 3 binary64)) x #s(literal 3 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 27/8 binary64) x #s(literal 9/2 binary64)) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x)
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 #s(literal 1/12 binary64) x)
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(literal 1/2 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 #s(literal 1/12 binary64) x)
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(literal 1/2 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(expm1.f64 (*.f64 #s(literal 3 binary64) x))

rewrite218.0ms (3.8%)

Memory

5.0MiB live, 203.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	129
0	50	129
1	193	129
2	1410	120
0	8335	110

Stop Event

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

Counts

17 → 567

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(exp.f64 x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (*.f64 #s(literal 3 binary64) x))

Outputs
#<batchref>
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eval132.0ms (2.3%)

Memory: -7.6MiB live, 220.2MiB allocated
Compiler: Compiled 20 106 to 2 356 computations (88.3% saved)

prune26.0ms (0.5%)

Memory

20.8MiB live, 60.2MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	852	7	859
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	855	12	867

Accuracy

100.0%

Counts

867 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
	93.5%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
▶	92.2%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
	86.8%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
▶	64.4%	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	64.2%	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
	64.4%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	64.4%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
	3.0%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
✓	63.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 382 to 279 computations (27% saved)

simplify122.0ms (2.1%)

Memory

5.0MiB live, 89.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/12 binary64) x)
cost-diff	0	#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
cost-diff	0	(expm1.f64 x)
cost-diff	0	(exp.f64 x)
cost-diff	0	(/.f64 (exp.f64 x) (expm1.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	222
0	67	222
1	106	222
2	170	222
3	329	222
4	622	222
5	956	222
6	1485	222
7	2893	222
8	3971	222
9	6459	222
0	8173	208

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
x
#s(literal 1/2 binary64)
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
x
#s(literal 1/2 binary64)
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal 1 binary64)) x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))))
(-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal 1 binary64)) x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize135.0ms (2.3%)

Memory

2.2MiB live, 118.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.04296875	(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
accuracy	0.7265496743877	(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	22.746886845458373	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
accuracy	0.05078125	(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
accuracy	0.1171875	(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
accuracy	4.960894065010073	#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy	22.92552981639405	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy	0.375	(*.f64 #s(literal 1/12 binary64) x)
accuracy	22.79750657403016	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
accuracy	39.50097311760926	#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
accuracy	0	(expm1.f64 x)
accuracy	0	(exp.f64 x)
accuracy	0.0234375	(/.f64 (exp.f64 x) (expm1.f64 x))

Samples

95.0ms

256×

valid

Compiler

Compiled 409 to 93 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-expm1: 26.0ms (32.9% of total)

ival-mult: 16.0ms (20.2% of total)

ival-add: 13.0ms (16.5% of total)

ival-div: 9.0ms (11.4% of total)

const: 9.0ms (11.4% of total)

ival-exp: 2.0ms (2.5% of total)

ival-sub: 2.0ms (2.5% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series38.0ms (0.6%)

Memory

-18.1MiB live, 19.7MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (expm1.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (expm1.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 1/12 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (expm1.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (expm1.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (expm1.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (exp.f64 x) (expm1.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/12 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/12 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/12 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/12 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

24.0ms

-inf

((/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (* 1/12 x) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (- (/ 1 x) -1/2) (/ 1 x) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (+ (* (+ (* -1/6 x) 1/2) x) -1) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (+ (* -1/6 x) 1/2) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x))

3.0ms

inf

((/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (* 1/12 x) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (- (/ 1 x) -1/2) (/ 1 x) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (+ (* (+ (* -1/6 x) 1/2) x) -1) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (+ (* -1/6 x) 1/2) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x))

2.0ms

((/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (* 1/12 x) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (- (/ 1 x) -1/2) (/ 1 x) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (+ (* (+ (* -1/6 x) 1/2) x) -1) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (+ (* -1/6 x) 1/2) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x))

simplify151.0ms (2.6%)

Memory

14.3MiB live, 130.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	1758
1	425	1757
2	1217	1737
3	4085	1712
0	8454	1427

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 227

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 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)))))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/12 x))
(+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))
(+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(exp x)
(exp x)
(exp x)
(exp x)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/6 x)
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(exp x)
(exp x)
(exp x)
(exp x)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/6 x)
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))

Outputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal 1 binary64))) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
x
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal 1 binary64))) x)
(neg.f64 x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(neg.f64 x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
#s(literal -1 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal 1 binary64))) x)
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
#s(literal 1/12 binary64)
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal 1 binary64))) x)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 #s(literal 1/12 binary64) x)
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
#s(literal 1/2 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(expm1.f64 x)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 #s(literal 1/12 binary64) x)
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
#s(literal 1/2 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) x))

rewrite163.0ms (2.8%)

Memory

12.0MiB live, 210.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	204
0	67	204
1	278	204
2	2152	204
0	8684	192

Stop Event

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

Counts

19 → 371

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)

Outputs
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eval84.0ms (1.4%)

Memory: -17.5MiB live, 101.0MiB allocated
Compiler: Compiled 18 765 to 1 772 computations (90.6% saved)

prune49.0ms (0.8%)

Memory

11.5MiB live, 50.8MiB allocated

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	592	6	598
Fresh	1	3	4
Picked	1	4	5
Done	0	3	3
Total	594	16	610

Accuracy

100.0%

Counts

610 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶	93.5%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
✓	92.2%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
	86.8%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
▶	31.4%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
	33.0%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
▶	64.3%	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	64.2%	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	64.2%	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	3.3%	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
	64.4%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	64.4%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
	3.0%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
✓	63.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 564 to 419 computations (25.7% saved)

simplify124.0ms (2.1%)

Memory

17.7MiB live, 89.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)
cost-diff	0	#s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
cost-diff	0	(fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	387
0	76	387
1	120	387
2	188	387
3	376	387
4	657	387
5	1348	387
6	2261	387
7	3673	387
8	5063	387
9	6503	387
0	8078	353

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x))
(.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
x
#s(literal 1/2 binary64)

Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x))
(.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
x
#s(literal 1/2 binary64)

localize170.0ms (2.9%)

Memory

-1.7MiB live, 153.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
accuracy	0.1171875	(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
accuracy	4.960894065010073	#s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x))
accuracy	39.473160014428935	#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))
accuracy	0.0234375	(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.7265496743877	(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	22.746886845458373	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	23.391802861505468	#s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64))
accuracy	0.0234375	(fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.7265496743877	(/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	22.746886845458373	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	23.584585090057235	#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64))
accuracy	22.92552981639405	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
accuracy	39.772120086791325	#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
accuracy	0.03515625	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.1328125	(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
accuracy	4.099130386230091	#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))

Samples

142.0ms

256×

valid

Compiler

Compiled 663 to 106 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

const: 54.0ms (50.4% of total)

ival-mult: 25.0ms (23.3% of total)

ival-add: 10.0ms (9.3% of total)

ival-div: 7.0ms (6.5% of total)

ival-expm1: 3.0ms (2.8% of total)

ival-sub: 3.0ms (2.8% of total)

ival-exp: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series24.0ms (0.4%)

Memory

-23.6MiB live, 24.7MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

-inf

((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (- (/ 1 x) -1/2) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (+ (* (+ (* -1/6 x) 1/2) x) -1) (+ (* 1/24 x) -1/6) (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (+ (* (* x x) -1/720) 1/12) (+ (* -1/6 x) 1/2) (* (+ (* -1/6 x) 1/2) x))

3.0ms

inf

((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (- (/ 1 x) -1/2) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (+ (* (+ (* -1/6 x) 1/2) x) -1) (+ (* 1/24 x) -1/6) (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (+ (* (* x x) -1/720) 1/12) (+ (* -1/6 x) 1/2) (* (+ (* -1/6 x) 1/2) x))

1.0ms

((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (- (/ 1 x) -1/2) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (+ (* (+ (* -1/6 x) 1/2) x) -1) (+ (* 1/24 x) -1/6) (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (+ (* (* x x) -1/720) 1/12) (+ (* -1/6 x) 1/2) (* (+ (* -1/6 x) 1/2) x))

simplify164.0ms (2.8%)

Memory

5.5MiB live, 203.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	2560
1	470	2536
2	1478	2528
3	4860	2464
0	8587	2106

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/12 x))
(+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))
(+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/12 x))
(+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))
(+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
-1/6
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/6 x)))
(* x (+ 1/2 (* -1/6 x)))
(* x (+ 1/2 (* -1/6 x)))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(* 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 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)))))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* 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 (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))))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/6 x)
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(/ (* (exp x) (+ 1 (* (exp x) (+ 1 (exp x))))) (- (exp (* 3 x)) 1))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* 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)))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/6 x)
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))

Outputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(neg.f64 x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(neg.f64 x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
#s(literal -1 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(neg.f64 x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(neg.f64 x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
#s(literal -1 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
#s(literal -1/6 binary64)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
#s(literal 1/12 binary64)
(fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64))
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))
(.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) x))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
#s(literal 1/2 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(fma.f64 #s(literal 1/12 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(+.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64))
(.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(fma.f64 #s(literal 1/12 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(fma.f64 #s(literal 1/12 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(+.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64))
(.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(fma.f64 #s(literal 1/12 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal 1/24 binary64) x) x)
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))
(.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) x))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
#s(literal 1/2 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(fma.f64 #s(literal 1/12 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
(.f64 (fma.f64 #s(literal -1/720 binary64) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x)) (.f64 x x))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64))
(.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(fma.f64 #s(literal 1/12 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
(.f64 (fma.f64 #s(literal -1/720 binary64) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x)) (.f64 x x))
(.f64 (fma.f64 #s(literal -1/720 binary64) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x)) (.f64 x x))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(fma.f64 #s(literal 1/12 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
(.f64 (fma.f64 #s(literal -1/720 binary64) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x)) (.f64 x x))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64))
(.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(fma.f64 #s(literal 1/12 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
(.f64 (fma.f64 #s(literal -1/720 binary64) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x)) (.f64 x x))
(.f64 (fma.f64 #s(literal -1/720 binary64) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x)) (.f64 x x))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal 1/24 binary64) x) x)
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)

rewrite208.0ms (3.6%)

Memory

-5.2MiB live, 150.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	370
0	76	370
1	325	370
2	2381	370
0	8519	336

Stop Event

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

Counts

23 → 382

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
#s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x))
(.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)

Outputs
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eval87.0ms (1.5%)

Memory: 21.7MiB live, 95.8MiB allocated
Compiler: Compiled 26 241 to 2 093 computations (92% saved)

prune91.0ms (1.6%)

Memory

8.8MiB live, 52.0MiB allocated

Pruning

22 alts after pruning (10 fresh and 12 done)

	Pruned	Kept	Total
New	650	8	658
Fresh	2	2	4
Picked	0	5	5
Done	0	7	7
Total	652	22	674

Accuracy

100.0%

Counts

674 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
✓	93.5%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
	93.5%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
	93.5%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (-.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
	93.5%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
✓	92.2%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
	86.8%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
	32.5%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)))
	34.1%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) x)) x)))
✓	31.4%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
	33.0%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
	26.2%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x)) x)))
✓	64.3%	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	64.2%	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	64.2%	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	3.3%	#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
	64.4%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	64.4%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
	3.0%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
✓	63.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 1 173 to 575 computations (51% saved)

regimes77.0ms (1.3%)

Memory

-16.4MiB live, 22.1MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (-.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))

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

Calls

3 calls:

60.0ms	(exp.f64 x)
9.0ms	x
7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes20.0ms (0.4%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (-.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))

Outputs

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

Calls

3 calls:

7.0ms	x
6.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
6.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
93.5%	1	`x`
93.5%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
93.5%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes21.0ms (0.4%)

Memory

-21.3MiB live, 17.2MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Outputs

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

#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))

Calls

3 calls:

9.0ms	(exp.f64 x)
6.0ms	x
5.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
93.9%	2	`x`
92.2%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
93.9%	2	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes12.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) x)) x)))

Outputs

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

#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))

Calls

2 calls:

6.0ms	x
5.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
93.9%	2	`x`
93.9%	2	`(exp.f64 x)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes13.0ms (0.2%)

Memory

-14.4MiB live, 24.1MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))

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

Calls

2 calls:

7.0ms	x
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
92.2%	1	`(exp.f64 x)`
92.2%	1	`x`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes19.0ms (0.3%)

Memory

-16.7MiB live, 24.9MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))

Outputs

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

#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))

Calls

3 calls:

10.0ms	x
4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
92.5%	2	`x`
92.5%	3	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
92.5%	2	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))

Outputs

(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x)))

#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))

Calls

2 calls:

5.0ms	x
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
92.5%	2	`x`
92.5%	2	`(exp.f64 x)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes14.0ms (0.2%)

Memory

-14.5MiB live, 23.8MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))

Calls

3 calls:

6.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	x
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
86.8%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
86.8%	1	`x`
86.8%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x)) x)))

Outputs

(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 #s(approx (+ (* -1/6 x) 1/2) #s(literal 1/2 binary64)) x)) x)))

#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
87.3%	2	`x`
87.3%	3	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
87.3%	2	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes12.0ms (0.2%)

Memory

-22.1MiB live, 15.9MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))

Calls

3 calls:

6.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms	x
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
64.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
64.4%	1	`x`
64.4%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.2%	1	`x`
64.2%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
64.2%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.9%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
63.9%	1	`(exp.f64 x)`
63.9%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory

-26.1MiB live, 12.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))

#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))

Calls

3 calls:

4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms	x
1.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
3.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.4%	1	`x`
3.4%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

Outputs
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.3%	1	`(exp.f64 x)`
3.3%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9908077135350453

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch74.0ms (1.3%)

Memory

2.6MiB live, 52.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-108452.57945633923	-0.009234796238733205

Samples

7.0ms

144×

valid

Compiler

Compiled 487 to 386 computations (20.7% saved)

Precisions

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

ival-exp: 2.0ms (47% of total)

ival-div: 1.0ms (23.5% of total)

ival-expm1: 1.0ms (23.5% of total)

ival-true: 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	0.0	0.9908077135350453

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9908077135350453

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9908077135350453

Compiler

Compiled 9 to 9 computations (0% saved)

simplify28.0ms (0.5%)

Memory

-22.9MiB live, 55.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	403
1	131	403
2	133	403
3	134	403

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -8219069319951155/2251799813685248 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -8219069319951155/2251799813685248 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (* (+ (* (- (exp x) -1) (exp x)) 1) (exp x)) (- (exp (* 3 x)) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

soundness1.7s (30%)

Memory

58.6MiB live, 990.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	33	13
2	188	13
3	1808	13
0	8774	9
0	151	1758
1	425	1757
2	1217	1737
3	4085	1712
0	8454	1427
0	136	1413
1	398	1413
2	843	1409
3	1941	1379
4	3774	1379
5	5329	1357
0	8266	1128
0	44	202
1	122	202
2	258	202
3	574	202
4	829	202
5	972	202
6	994	202
7	1088	196
8	1506	196
9	1981	196
10	3369	196
11	4928	196
12	5214	196
13	5579	196
14	6128	196
15	6868	196
0	10258	150
0	169	2560
1	470	2536
2	1478	2528
3	4860	2464
0	8587	2106

Stop Event

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

Compiler

Compiled 669 to 329 computations (50.8% saved)

preprocess90.0ms (1.5%)

Memory: -5.8MiB live, 151.7MiB allocated
Compiler: Compiled 832 to 254 computations (69.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
1	22	19
2	42	18
3	78	18
4	132	12
5	242	12
6	343	12
7	448	12
8	565	12
9	606	12
10	634	12
11	684	12
0	5	7
0	8	7
1	13	7
2	14	7
0	14	5

Iter	Nodes	Cost
0	7	19
1	22	19
2	42	18
3	78	18
4	132	12
5	242	12
6	343	12
7	448	12
8	565	12
9	606	12
10	634	12
11	684	12
0	5	7
0	8	7
1	13	7
2	14	7
0	14	5

start0.0ms (0%)

analyze1.0ms (0%)

sample669.0ms (11.5%)

explain64.0ms (1.1%)

preprocess22.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize20.0ms (0.4%)

series3.0ms (0%)

simplify166.0ms (2.9%)

rewrite160.0ms (2.7%)

eval68.0ms (1.2%)

prune14.0ms (0.2%)

simplify183.0ms (3.1%)

localize99.0ms (1.7%)

series33.0ms (0.6%)

simplify152.0ms (2.6%)

rewrite218.0ms (3.8%)

eval132.0ms (2.3%)

prune26.0ms (0.5%)

simplify122.0ms (2.1%)

localize135.0ms (2.3%)

series38.0ms (0.6%)

simplify151.0ms (2.6%)

rewrite163.0ms (2.8%)

eval84.0ms (1.4%)

prune49.0ms (0.8%)

simplify124.0ms (2.1%)

localize170.0ms (2.9%)

series24.0ms (0.4%)

simplify164.0ms (2.8%)

rewrite208.0ms (3.6%)

eval87.0ms (1.5%)

prune91.0ms (1.6%)

regimes77.0ms (1.3%)

regimes20.0ms (0.4%)

regimes21.0ms (0.4%)

regimes12.0ms (0.2%)

regimes13.0ms (0.2%)

regimes19.0ms (0.3%)

regimes10.0ms (0.2%)

regimes14.0ms (0.2%)

regimes10.0ms (0.2%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch74.0ms (1.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify28.0ms (0.5%)

soundness1.7s (30%)

preprocess90.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
1	22	19
2	42	18
3	78	18
4	132	12
5	242	12
6	343	12
7	448	12
8	565	12
9	606	12
10	634	12
11	684	12
0	5	7
0	8	7
1	13	7
2	14	7
0	14	5