Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze21.0ms (0.3%)

Memory

-11.9MiB live, 25.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	0%	6.2%	0%	6
75.9%	68.7%	21.9%	0.1%	0%	9.4%	0%	7
80%	68.7%	17.2%	0.1%	0%	14%	0%	8
86%	71.8%	11.7%	0.1%	0%	16.4%	0%	9
88.9%	71.8%	9%	0.1%	0%	19.1%	0%	10
92.4%	73.4%	6%	0.1%	0%	20.5%	0%	11
94.1%	73.4%	4.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample632.0ms (10.4%)

Memory

16.7MiB live, 673.9MiB allocated

Samples

391.0ms	8 256×	0	valid
13.0ms	301×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-mult: 68.0ms (44.3% of total)

ival-expm1: 52.0ms (33.9% of total)

ival->: 23.0ms (15% of total)

exact: 7.0ms (4.6% of total)

ival-assert: 4.0ms (2.6% of total)

Bogosity

explain75.0ms (1.2%)

Memory

-0.5MiB live, 114.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
128	-	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	-	-	`a`
0	-	-	`(exp.f64 (*.f64 a x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 a x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	128	1

Confusion

	Predicted +	Predicted -
+	128	0
-	0	128

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	0
-	0	1	127

Precision?

0.9922480620155039

Recall?

1.0

Freqs

test

number	freq
0	128
1	128

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

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

ival-exp: 4.0ms (34.1% of total)

ival-mult: 4.0ms (34.1% of total)

ival-expm1: 3.0ms (25.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess16.0ms (0.3%)

Memory

26.8MiB live, 26.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	204	34
7	226	34
8	240	34
9	251	34
10	252	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4

Stop Event

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

Calls

Call 1

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

Outputs
(expm1.f64 (*.f64 x a))

Symmetry

(sort a x)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(expm1.f64 (*.f64 x a))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x a)
cost-diff	0	(expm1.f64 (*.f64 x a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	8	9
1	16	9
2	19	9
0	19	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
x
a

Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
x
a

localize21.0ms (0.3%)

Memory

-31.5MiB live, 53.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x a)
accuracy	0.00390625	(expm1.f64 (*.f64 x a))

Samples

16.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

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

ival-mult: 2.0ms (43.3% of total)

ival-expm1: 2.0ms (43.3% of total)

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

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

series4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x a) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify206.0ms (3.4%)

Memory

5.9MiB live, 82.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	288
1	185	288
2	494	284
3	981	284
4	1577	284
5	1766	284
6	1793	284
7	1813	284
8	1826	284
9	1828	284
10	1828	284
11	2543	280
12	3009	280
13	3963	280
14	4492	280
15	4492	280
16	4620	280
17	4620	280
18	4620	280
19	6583	276
20	6790	276
21	6832	276
22	6846	276
23	6846	276
24	7022	276
25	7360	276
26	7360	276
27	7905	276
0	7905	232

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

rewrite55.0ms (0.9%)

Memory

14.2MiB live, 52.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	8	7
1	29	7
2	151	7
0	1343	7

Stop Event

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

Counts

2 → 97

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval41.0ms (0.7%)

Memory: -21.0MiB live, 30.1MiB allocated
Compiler: Compiled 3 001 to 291 computations (90.3% saved)

prune5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	141	5	146

Accuracy

100.0%

Counts

146 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	68.8%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x)))
▶	69.5%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 a x)))
▶	65.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	69.0%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Compiler

Compiled 80 to 58 computations (27.5% saved)

simplify337.0ms (5.5%)

Memory

-3.2MiB live, 149.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	239
0	51	239
1	94	239
2	197	239
3	487	239
4	1431	239
5	3001	239
6	3046	239
7	3074	239
8	3102	239
9	3102	239
10	4966	239
11	4966	239
12	4979	239
13	4979	239
14	5372	239
15	5497	239
16	5497	239
0	9013	231

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (1.8%)

Memory

-10.6MiB live, 65.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.2659592473653772	(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) a)
accuracy	0.3203125	(*.f64 #s(literal 1/24 binary64) x)
accuracy	1.1863363163800937	(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
accuracy	19.985711859254298	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x)))
accuracy	0.05859375	(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
accuracy	0.3203125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.9782085868841228	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
accuracy	19.508991666702894	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 a x)))
accuracy	0.015625	(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
accuracy	0.9779228739467523	(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
accuracy	8.154248174497551	(.f64 (.f64 a a) x)
accuracy	20.36379689567719	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
accuracy	0	(*.f64 a x)
accuracy	19.848260807876205	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Samples

92.0ms

256×

valid

Compiler

Compiled 447 to 62 computations (86.1% saved)

Precisions

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

ival-mult: 27.0ms (64.3% of total)

ival-add: 7.0ms (16.7% of total)

const: 6.0ms (14.3% of total)

ival-expm1: 2.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.6%)

Memory

27.6MiB live, 27.6MiB allocated

Counts

16 → 360

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* x a)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* a x)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1) (* a x)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) (* 1/6 x) (* 1/24 x))
4.0ms	a	@	inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* x a)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* a x)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1) (* a x)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) (* 1/6 x) (* 1/24 x))
4.0ms	x	@	-inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* x a)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* a x)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1) (* a x)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) (* 1/6 x) (* 1/24 x))
4.0ms	a	@	-inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* x a)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* a x)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1) (* a x)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) (* 1/6 x) (* 1/24 x))
3.0ms	a	@	0	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* x a)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* a x)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1) (* a x)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) (* 1/6 x) (* 1/24 x))

simplify329.0ms (5.4%)

Memory

-24.7MiB live, 245.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	322	3794
1	1108	3758
2	3877	3604
0	8290	3236

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

rewrite228.0ms (3.8%)

Memory

26.7MiB live, 262.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	191
0	51	191
1	178	191
2	1203	191
0	8283	183

Stop Event

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

Counts

16 → 375

Calls

Call 1

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

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eval113.0ms (1.9%)

Memory: -13.1MiB live, 223.5MiB allocated
Compiler: Compiled 29 121 to 2 118 computations (92.7% saved)

prune39.0ms (0.6%)

Memory

21.4MiB live, 99.9MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	844	5	849
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	846	8	854

Accuracy

100.0%

Counts

854 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	68.7%	#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) a) x) (.f64 a x) (.f64 a x)))
▶	68.8%	#s(approx (- (exp (* x a)) 1) (/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)))))
▶	68.8%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
✓	69.5%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 a x)))
▶	68.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
▶	69.5%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a))
✓	69.0%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Compiler

Compiled 284 to 190 computations (33.1% saved)

simplify233.0ms (3.8%)

Memory

-11.4MiB live, 270.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)))
cost-diff	0	(*.f64 a x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)))))
cost-diff	1088	(/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) a)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) a) x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) a) x) (.f64 a x) (.f64 a x)))
cost-diff	320	(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) a) x) (.f64 a x) (.f64 a x))
cost-diff	0	(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x))
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
cost-diff	0	(.f64 (.f64 a x) a)
cost-diff	0	(fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a)
cost-diff	0	(.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	455
0	63	447
1	121	447
2	271	447
3	729	447
4	2192	447
5	4659	447
6	4965	447
7	5016	447
8	5016	447
0	8943	437

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1.8%)

Memory

9.9MiB live, 168.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2659592473653772	(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) a)
accuracy	0.3203125	(*.f64 #s(literal 1/24 binary64) x)
accuracy	1.1863363163800937	(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
accuracy	19.985711859254298	#s(approx (- (exp (* x a)) 1) (/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)))))
accuracy	0.3203125	(*.f64 #s(literal 1/24 binary64) x)
accuracy	1.1863363163800937	(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) a) x)
accuracy	2.8476562500000004	(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) a) x) (.f64 a x) (.f64 a x))
accuracy	19.985711859254298	#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) a) x) (.f64 a x) (.f64 a x)))
accuracy	0.07421875	(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x))
accuracy	0.09375	(fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64))
accuracy	0.3203125	(*.f64 #s(literal 1/24 binary64) x)
accuracy	19.985711859254298	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
accuracy	0.015625	(fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a)
accuracy	0.1171875	(.f64 (.f64 a x) a)
accuracy	0.9779228739467523	(.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)
accuracy	20.36379689567719	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
accuracy	0.3203125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.9650770829214166	(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a)
accuracy	0.9782085868841228	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
accuracy	19.508991666702894	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a))

Samples

75.0ms

256×

valid

Compiler

Compiled 861 to 74 computations (91.4% saved)

Precisions

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

ival-mult: 29.0ms (58% of total)

ival-add: 9.0ms (18% of total)

const: 7.0ms (14% of total)

ival-div: 3.0ms (6% of total)

ival-expm1: 2.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.6%)

Memory

11.6MiB live, 50.0MiB allocated

Counts

24 → 552

Calls

Call 1

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

Outputs
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a)) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	((- (exp (* x a)) 1) (* (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) x) a) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) x) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (- (exp (* x a)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* x a)) 1) (* (+ (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) (* a x)) 1) (* a x)) (+ (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) (* a x)) 1) (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) (+ (* (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) (* a x)) (* a x)) (- (exp (* x a)) 1) (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) (/ (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (- (exp (* x a)) 1) (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (* 1/6 x) (* 1/24 x) (+ (* (* 1/24 x) a) 1/6) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))
3.0ms	x	@	-inf	((- (exp (* x a)) 1) (* (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) x) a) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) x) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (- (exp (* x a)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* x a)) 1) (* (+ (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) (* a x)) 1) (* a x)) (+ (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) (* a x)) 1) (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) (+ (* (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) (* a x)) (* a x)) (- (exp (* x a)) 1) (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) (/ (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (- (exp (* x a)) 1) (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (* 1/6 x) (* 1/24 x) (+ (* (* 1/24 x) a) 1/6) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))
3.0ms	x	@	inf	((- (exp (* x a)) 1) (* (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) x) a) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) x) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (- (exp (* x a)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* x a)) 1) (* (+ (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) (* a x)) 1) (* a x)) (+ (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) (* a x)) 1) (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) (+ (* (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) (* a x)) (* a x)) (- (exp (* x a)) 1) (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) (/ (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (- (exp (* x a)) 1) (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (* 1/6 x) (* 1/24 x) (+ (* (* 1/24 x) a) 1/6) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))
2.0ms	a	@	inf	((- (exp (* x a)) 1) (* (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) x) a) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) x) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (- (exp (* x a)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* x a)) 1) (* (+ (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) (* a x)) 1) (* a x)) (+ (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) (* a x)) 1) (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) (+ (* (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) (* a x)) (* a x)) (- (exp (* x a)) 1) (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) (/ (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (- (exp (* x a)) 1) (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (* 1/6 x) (* 1/24 x) (+ (* (* 1/24 x) a) 1/6) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))
2.0ms	x	@	0	((- (exp (* x a)) 1) (* (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) x) a) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) x) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (- (exp (* x a)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* x a)) 1) (* (+ (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) (* a x)) 1) (* a x)) (+ (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) (* a x)) 1) (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) (+ (* (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) (* a x)) (* a x)) (- (exp (* x a)) 1) (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) (/ (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (- (exp (* x a)) 1) (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (* 1/6 x) (* 1/24 x) (+ (* (* 1/24 x) a) 1/6) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))

simplify402.0ms (6.6%)

Memory

-66.9MiB live, 219.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	527	6908
1	1825	6755
2	6258	6729
0	8214	6136

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
a
(* a (+ 1 (* 1/2 (* a x))))
(* a (+ 1 (* 1/2 (* a x))))
(* a (+ 1 (* 1/2 (* a x))))
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
(+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* 1/2 (* a x))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))
(* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))
(* 1/2 a)
(* a (+ 1/2 (* 1/6 (* a x))))
(* a (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))))
(* a (+ 1/2 (* a (+ (* 1/24 (* a (pow x 2))) (* 1/6 x)))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* a x)
(* a x)
(* a x)
(* a x)
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* a (- (* -1 (* a (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x))))
(+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (+ (* -1/12 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x))))
1/6
(+ 1/6 (* 1/24 (* a x)))
(+ 1/6 (* 1/24 (* a x)))
(+ 1/6 (* 1/24 (* a x)))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3))))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 2)))
(* (pow a 3) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 3) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* (pow a 3) (+ (* 1/24 (pow x 2)) (+ (* 1/6 (/ x a)) (/ 1/2 (pow a 2)))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(/ 24 (* (pow a 3) (pow x 3)))
(/ (- (* 24 (/ 1 (pow x 3))) (* 96 (/ 1 (* a (pow x 4))))) (pow a 3))
(/ (- (+ (* 24 (/ 1 (pow x 3))) (/ 96 (* (pow a 2) (pow x 5)))) (/ 96 (* a (pow x 4)))) (pow a 3))
(/ (- (+ (* 96 (/ 1 (* (pow a 2) (pow x 5)))) (+ (* 192 (/ 1 (* (pow a 3) (pow x 6)))) (* 24 (/ 1 (pow x 3))))) (/ 96 (* a (pow x 4)))) (pow a 3))
(* 1/24 (* a x))
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3)))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/24 (pow x 2)) (* 1/6 (/ x a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/6 x) (* 1/2 (/ 1 a))) a)) (* 1/24 (pow x 2))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* 1/24 (* (pow a 3) (pow x 2)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ x a)) (* -1/24 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 x) (* 1/2 (/ 1 a))) a)) (* -1/24 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 x) (* 1/2 (/ 1 a))) a)) (* -1/24 (pow x 2)))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(/ 24 (* (pow a 3) (pow x 3)))
(* -1 (/ (- (* 96 (/ 1 (* a (pow x 4)))) (* 24 (/ 1 (pow x 3)))) (pow a 3)))
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 (* a (pow x 5)))) (* 96 (/ 1 (pow x 4)))) a)) (* 24 (/ 1 (pow x 3)))) (pow a 3)))
(* -1 (/ (- (* -1 (/ (- (+ (/ 96 (* a (pow x 5))) (/ 192 (* (pow a 2) (pow x 6)))) (* 96 (/ 1 (pow x 4)))) a)) (* 24 (/ 1 (pow x 3)))) (pow a 3)))
(* 1/24 (* a x))
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
a
(+ a (* 1/2 (* (pow a 2) x)))
(+ a (* 1/2 (* (pow a 2) x)))
(+ a (* 1/2 (* (pow a 2) x)))
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* 1/2 (* a x))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(* 1/2 a)
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))
(+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))
(+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* a x)
(* a x)
(* a x)
(* a x)
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* x (- (* -1 (* x (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a))))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (+ (* -1/12 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
1/6
(+ 1/6 (* 1/24 (* a x)))
(+ 1/6 (* 1/24 (* a x)))
(+ 1/6 (* 1/24 (* a x)))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) x))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* 1/24 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 2) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(/ 24 (* (pow a 3) (pow x 3)))
(/ (- (* 24 (/ 1 (pow a 3))) (* 96 (/ 1 (* (pow a 4) x)))) (pow x 3))
(/ (- (+ (* 24 (/ 1 (pow a 3))) (/ 96 (* (pow a 5) (pow x 2)))) (/ 96 (* (pow a 4) x))) (pow x 3))
(/ (- (+ (* 96 (/ 1 (* (pow a 5) (pow x 2)))) (+ (* 192 (/ 1 (* (pow a 6) (pow x 3)))) (* 24 (/ 1 (pow a 3))))) (/ 96 (* (pow a 4) x))) (pow x 3))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 (* a x))
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) x))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3)))))
(* 1/24 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* 1/24 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(/ 24 (* (pow a 3) (pow x 3)))
(* -1 (/ (- (* 96 (/ 1 (* (pow a 4) x))) (* 24 (/ 1 (pow a 3)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 (* (pow a 5) x))) (* 96 (/ 1 (pow a 4)))) x)) (* 24 (/ 1 (pow a 3)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (+ (/ 96 (* (pow a 5) x)) (/ 192 (* (pow a 6) (pow x 2)))) (* 96 (/ 1 (pow a 4)))) x)) (* 24 (/ 1 (pow a 3)))) (pow x 3)))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 (* a x))
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3)))))

Outputs
(*.f64 a x)
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
(*.f64 a x)
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a)
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a)
x
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) x)
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x)
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(*.f64 a x)
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
(*.f64 a x)
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)
a
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) a)
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) a)
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(.f64 (neg.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (.f64 (*.f64 a a) #s(literal 1/6 binary64))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (.f64 (*.f64 a a) #s(literal 1/6 binary64))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/24 binary64)) x)
(.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) x) #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64))) x) x)
(.f64 (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64) (/.f64 (fma.f64 (/.f64 a x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 a a))) (neg.f64 x))) x) x)
(.f64 (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64) (/.f64 (fma.f64 (/.f64 a x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 a a))) (neg.f64 x))) x) x)
(.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (/.f64 (fma.f64 (/.f64 (.f64 a a) x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a (/.f64 a x)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(/.f64 (/.f64 #s(literal 24 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 96 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (/.f64 #s(literal 24 binary64) (pow.f64 a #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 96 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) x)) (/.f64 #s(literal 96 binary64) (pow.f64 a #s(literal 4 binary64)))) x) (/.f64 #s(literal 24 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 192 binary64) (pow.f64 a #s(literal 6 binary64))) x) x) (/.f64 #s(literal 96 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) x))) (/.f64 #s(literal 96 binary64) (pow.f64 a #s(literal 4 binary64)))) x) (/.f64 #s(literal 24 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(.f64 #s(literal 1/24 binary64) (.f64 a x))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/24 binary64) a (/.f64 #s(literal -1/6 binary64) x)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/24 binary64) a (/.f64 #s(literal -1/6 binary64) x)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/24 binary64) a (/.f64 #s(literal -1/6 binary64) x)))
(.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (neg.f64 (fma.f64 (/.f64 (.f64 a a) x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 a #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (.f64 (*.f64 a a) #s(literal 1/6 binary64))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (/.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))

rewrite237.0ms (3.9%)

Memory

5.1MiB live, 194.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	354
0	63	346
1	242	346
2	1566	346
0	8335	336

Stop Event

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

Counts

24 → 920

Calls

Call 1

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

Outputs
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eval348.0ms (5.7%)

Memory: 38.1MiB live, 456.2MiB allocated
Compiler: Compiled 91 120 to 5 322 computations (94.2% saved)

prune64.0ms (1.1%)

Memory

-12.2MiB live, 123.7MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	2 227	3	2 230
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	2 229	9	2 238

Accuracy

100.0%

Counts

2 238 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	66.7%	#s(approx (- (exp (* x a)) 1) (/.f64 (.f64 a x) #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 (fma.f64 (.f64 (.f64 a a) #s(literal 1/12 binary64)) x (*.f64 #s(literal -1/2 binary64) a)) x #s(literal 1 binary64)))))
▶	72.7%	#s(approx (- (exp (* x a)) 1) (/.f64 (.f64 a x) #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 a x) #s(literal 1 binary64)))))
✓	68.8%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 a x) #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
✓	69.5%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 a x)))
✓	68.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
✓	69.5%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a))
▶	68.8%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 x #s(literal -1 binary64)) (/.f64 a (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))))))
✓	69.0%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Compiler

Compiled 218 to 152 computations (30.3% saved)

simplify105.0ms (1.7%)

Memory

-2.6MiB live, 72.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a x)
cost-diff	0	(/.f64 (.f64 a x) #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 (fma.f64 (.f64 (.f64 a a) #s(literal 1/12 binary64)) x (*.f64 #s(literal -1/2 binary64) a)) x #s(literal 1 binary64))))
cost-diff	0	#s(approx (- (exp (* x a)) 1) (/.f64 (.f64 a x) #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 (fma.f64 (.f64 (.f64 a a) #s(literal 1/12 binary64)) x (*.f64 #s(literal -1/2 binary64) a)) x #s(literal 1 binary64)))))
cost-diff	320	(fma.f64 (.f64 (.f64 a a) #s(literal 1/12 binary64)) x (*.f64 #s(literal -1/2 binary64) a))
cost-diff	0	#s(approx (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 a x) #s(literal 1 binary64)))
cost-diff	0	(*.f64 a x)
cost-diff	0	(/.f64 (.f64 a x) #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 a x) #s(literal 1 binary64))))
cost-diff	0	#s(approx (- (exp (* x a)) 1) (/.f64 (.f64 a x) #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 a x) #s(literal 1 binary64)))))
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 x #s(literal -1 binary64)) (/.f64 a (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))))))
cost-diff	192	(*.f64 x #s(literal -1 binary64))
cost-diff	256	(.f64 (.f64 x #s(literal -1 binary64)) (/.f64 a (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)))))
cost-diff	960	(/.f64 a (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	411
0	68	411
1	113	408
2	220	401
3	640	396
4	2097	396
5	4086	396
6	7588	396
0	8022	385

Stop Event

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

Calls

Call 1

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

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

localize127.0ms (2.1%)

Memory

-9.1MiB live, 107.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.9705757283503593	(fma.f64 (fma.f64 (.f64 (.f64 a a) #s(literal 1/12 binary64)) x (*.f64 #s(literal -1/2 binary64) a)) x #s(literal 1 binary64))
accuracy	4.700386600845225	(fma.f64 (.f64 (.f64 a a) #s(literal 1/12 binary64)) x (*.f64 #s(literal -1/2 binary64) a))
accuracy	19.80922712417754	#s(approx (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 (fma.f64 (.f64 (.f64 a a) #s(literal 1/12 binary64)) x (*.f64 #s(literal -1/2 binary64) a)) x #s(literal 1 binary64)))
accuracy	19.985711859254298	#s(approx (- (exp (* x a)) 1) (/.f64 (.f64 a x) #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 (fma.f64 (.f64 (.f64 a a) #s(literal 1/12 binary64)) x (*.f64 #s(literal -1/2 binary64) a)) x #s(literal 1 binary64)))))
accuracy	0.053066259768442016	(/.f64 (.f64 a x) #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 a x) #s(literal 1 binary64))))
accuracy	0.2087046536871988	(fma.f64 #s(literal -1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
accuracy	19.985711859254298	#s(approx (- (exp (* x a)) 1) (/.f64 (.f64 a x) #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 a x) #s(literal 1 binary64)))))
accuracy	20.14159604755338	#s(approx (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 a x) #s(literal 1 binary64)))
accuracy	0.3203125	(*.f64 #s(literal 1/24 binary64) x)
accuracy	1.1863363163800937	(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
accuracy	1.210955639595805	(.f64 (.f64 x #s(literal -1 binary64)) (/.f64 a (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)))))
accuracy	19.985711859254298	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 x #s(literal -1 binary64)) (/.f64 a (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))))))

Samples

75.0ms

256×

valid

Compiler

Compiled 741 to 86 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 22.0ms (38.1% of total)

ival-add: 17.0ms (29.4% of total)

const: 9.0ms (15.6% of total)

ival-div: 6.0ms (10.4% of total)

ival-expm1: 2.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.4%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

16 → 360

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ a (/ -1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (* (* x -1) (/ a (/ -1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)))) (* x -1) (- (exp (* x a)) 1) (- (exp (* x a)) 1) (/ (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (+ (* (* (* a a) 1/12) x) (* -1/2 a)) (- (exp (* x a)) 1) (/ (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1) (* 1/24 x) (+ (* -1/2 (* a x)) 1) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (+ (* (+ (* (* (* a a) 1/12) x) (* -1/2 a)) x) 1))
2.0ms	x	@	inf	((/ a (/ -1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (* (* x -1) (/ a (/ -1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)))) (* x -1) (- (exp (* x a)) 1) (- (exp (* x a)) 1) (/ (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (+ (* (* (* a a) 1/12) x) (* -1/2 a)) (- (exp (* x a)) 1) (/ (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1) (* 1/24 x) (+ (* -1/2 (* a x)) 1) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (+ (* (+ (* (* (* a a) 1/12) x) (* -1/2 a)) x) 1))
2.0ms	x	@	0	((/ a (/ -1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (* (* x -1) (/ a (/ -1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)))) (* x -1) (- (exp (* x a)) 1) (- (exp (* x a)) 1) (/ (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (+ (* (* (* a a) 1/12) x) (* -1/2 a)) (- (exp (* x a)) 1) (/ (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1) (* 1/24 x) (+ (* -1/2 (* a x)) 1) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (+ (* (+ (* (* (* a a) 1/12) x) (* -1/2 a)) x) 1))
2.0ms	a	@	inf	((/ a (/ -1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (* (* x -1) (/ a (/ -1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)))) (* x -1) (- (exp (* x a)) 1) (- (exp (* x a)) 1) (/ (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (+ (* (* (* a a) 1/12) x) (* -1/2 a)) (- (exp (* x a)) 1) (/ (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1) (* 1/24 x) (+ (* -1/2 (* a x)) 1) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (+ (* (+ (* (* (* a a) 1/12) x) (* -1/2 a)) x) 1))
2.0ms	a	@	-inf	((/ a (/ -1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (* (* x -1) (/ a (/ -1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)))) (* x -1) (- (exp (* x a)) 1) (- (exp (* x a)) 1) (/ (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (+ (* (* (* a a) 1/12) x) (* -1/2 a)) (- (exp (* x a)) 1) (/ (* a x) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1))) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1) (* 1/24 x) (+ (* -1/2 (* a x)) 1) (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (+ (* (+ (* (* (* a a) 1/12) x) (* -1/2 a)) x) 1))

simplify182.0ms (3%)

Memory

-4.4MiB live, 147.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	484	4696
1	1617	4618
2	5519	4524
0	8254	4160

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(* -1 a)
(* a (- (* -1/2 (* a x)) 1))
(* a (- (* a (+ (* -1/2 x) (* -1/6 (* a (pow x 2))))) 1))
(* a (- (* a (+ (* -1/2 x) (* a (+ (* -1/6 (pow x 2)) (* -1/24 (* a (pow x 3))))))) 1))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* a x)
(* a x)
(* a x)
(* a x)
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* a (- (* -1 (* a (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x))))
(+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (+ (* -1/12 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x))))
(* -1/2 a)
(* a (- (* 1/12 (* a x)) 1/2))
(* a (- (* 1/12 (* a x)) 1/2))
(* a (- (* 1/12 (* a x)) 1/2))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* -1/2 (* a x)))
(+ 1 (* -1/2 (* a x)))
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* a (- (* -1 (* a (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x))))
(+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (+ (* -1/12 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x))))
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* a (+ (* -1/2 x) (* 1/12 (* a (pow x 2))))))
(+ 1 (* a (+ (* -1/2 x) (* 1/12 (* a (pow x 2))))))
(* -1/24 (* (pow a 4) (pow x 3)))
(* (pow a 4) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3))))
(* (pow a 4) (+ (* -1/2 (/ x (pow a 2))) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* (pow a 4) (- (+ (* -1/2 (/ x (pow a 2))) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))) (/ 1 (pow a 3))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* a x)
(* a x)
(* a x)
(* a x)
(/ 24 (* (pow a 3) (pow x 3)))
(/ (- (* 24 (/ 1 (pow x 3))) (* 96 (/ 1 (* a (pow x 4))))) (pow a 3))
(/ (- (+ (* 24 (/ 1 (pow x 3))) (/ 96 (* (pow a 2) (pow x 5)))) (/ 96 (* a (pow x 4)))) (pow a 3))
(/ (- (+ (* 96 (/ 1 (* (pow a 2) (pow x 5)))) (+ (* 192 (/ 1 (* (pow a 3) (pow x 6)))) (* 24 (/ 1 (pow x 3))))) (/ 96 (* a (pow x 4)))) (pow a 3))
(* 1/12 (* (pow a 2) x))
(* (pow a 2) (- (* 1/12 x) (* 1/2 (/ 1 a))))
(* (pow a 2) (- (* 1/12 x) (* 1/2 (/ 1 a))))
(* (pow a 2) (- (* 1/12 x) (* 1/2 (/ 1 a))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3))))))
(* -1/2 (* a x))
(* a (+ (* -1/2 x) (/ 1 a)))
(* a (+ (* -1/2 x) (/ 1 a)))
(* a (+ (* -1/2 x) (/ 1 a)))
(/ 24 (* (pow a 3) (pow x 3)))
(/ (- (* 24 (/ 1 (pow x 3))) (* 96 (/ 1 (* a (pow x 4))))) (pow a 3))
(/ (- (+ (* 24 (/ 1 (pow x 3))) (/ 96 (* (pow a 2) (pow x 5)))) (/ 96 (* a (pow x 4)))) (pow a 3))
(/ (- (+ (* 96 (/ 1 (* (pow a 2) (pow x 5)))) (+ (* 192 (/ 1 (* (pow a 3) (pow x 6)))) (* 24 (/ 1 (pow x 3))))) (/ 96 (* a (pow x 4)))) (pow a 3))
(* 1/12 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* -1/2 (/ x a)) (* 1/12 (pow x 2))))
(* (pow a 2) (+ (* -1/2 (/ x a)) (+ (* 1/12 (pow x 2)) (/ 1 (pow a 2)))))
(* (pow a 2) (+ (* -1/2 (/ x a)) (+ (* 1/12 (pow x 2)) (/ 1 (pow a 2)))))
(* -1/24 (* (pow a 4) (pow x 3)))
(* (pow a 4) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3))))
(* (pow a 4) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* a x)
(* a x)
(* a x)
(* a x)
(/ 24 (* (pow a 3) (pow x 3)))
(* -1 (/ (- (* 96 (/ 1 (* a (pow x 4)))) (* 24 (/ 1 (pow x 3)))) (pow a 3)))
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 (* a (pow x 5)))) (* 96 (/ 1 (pow x 4)))) a)) (* 24 (/ 1 (pow x 3)))) (pow a 3)))
(* -1 (/ (- (* -1 (/ (- (+ (/ 96 (* a (pow x 5))) (/ 192 (* (pow a 2) (pow x 6)))) (* 96 (/ 1 (pow x 4)))) a)) (* 24 (/ 1 (pow x 3)))) (pow a 3)))
(* 1/12 (* (pow a 2) x))
(* (pow a 2) (- (* 1/12 x) (* 1/2 (/ 1 a))))
(* (pow a 2) (- (* 1/12 x) (* 1/2 (/ 1 a))))
(* (pow a 2) (- (* 1/12 x) (* 1/2 (/ 1 a))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3)))))
(* -1/2 (* a x))
(* -1 (* a (- (* 1/2 x) (/ 1 a))))
(* -1 (* a (- (* 1/2 x) (/ 1 a))))
(* -1 (* a (- (* 1/2 x) (/ 1 a))))
(/ 24 (* (pow a 3) (pow x 3)))
(* -1 (/ (- (* 96 (/ 1 (* a (pow x 4)))) (* 24 (/ 1 (pow x 3)))) (pow a 3)))
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 (* a (pow x 5)))) (* 96 (/ 1 (pow x 4)))) a)) (* 24 (/ 1 (pow x 3)))) (pow a 3)))
(* -1 (/ (- (* -1 (/ (- (+ (/ 96 (* a (pow x 5))) (/ 192 (* (pow a 2) (pow x 6)))) (* 96 (/ 1 (pow x 4)))) a)) (* 24 (/ 1 (pow x 3)))) (pow a 3)))
(* 1/12 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* -1/2 (/ x a)) (* 1/12 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 x) (/ 1 a)) a)) (* 1/12 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 x) (/ 1 a)) a)) (* 1/12 (pow x 2))))
(* -1 a)
(+ (* -1 a) (* -1/2 (* (pow a 2) x)))
(+ (* -1 a) (* x (+ (* -1/2 (pow a 2)) (* -1/6 (* (pow a 3) x)))))
(+ (* -1 a) (* x (+ (* -1/2 (pow a 2)) (* x (+ (* -1/6 (pow a 3)) (* -1/24 (* (pow a 4) x)))))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* a x)
(* a x)
(* a x)
(* a x)
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* x (- (* -1 (* x (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a))))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (+ (* -1/12 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a))))
(* -1/2 a)
(+ (* -1/2 a) (* 1/12 (* (pow a 2) x)))
(+ (* -1/2 a) (* 1/12 (* (pow a 2) x)))
(+ (* -1/2 a) (* 1/12 (* (pow a 2) x)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* -1/2 (* a x)))
(+ 1 (* -1/2 (* a x)))
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* x (- (* -1 (* x (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a))))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (+ (* -1/12 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a))))
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* x (+ (* -1/2 a) (* 1/12 (* (pow a 2) x)))))
(+ 1 (* x (+ (* -1/2 a) (* 1/12 (* (pow a 2) x)))))
(* -1/24 (* (pow a 4) (pow x 3)))
(* (pow x 3) (+ (* -1/6 (/ (pow a 3) x)) (* -1/24 (pow a 4))))
(* (pow x 3) (+ (* -1/2 (/ (pow a 2) (pow x 2))) (+ (* -1/6 (/ (pow a 3) x)) (* -1/24 (pow a 4)))))
(* (pow x 3) (+ (* -1 (/ a (pow x 3))) (+ (* -1/2 (/ (pow a 2) (pow x 2))) (+ (* -1/6 (/ (pow a 3) x)) (* -1/24 (pow a 4))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* a x)
(* a x)
(* a x)
(* a x)
(/ 24 (* (pow a 3) (pow x 3)))
(/ (- (* 24 (/ 1 (pow a 3))) (* 96 (/ 1 (* (pow a 4) x)))) (pow x 3))
(/ (- (+ (* 24 (/ 1 (pow a 3))) (/ 96 (* (pow a 5) (pow x 2)))) (/ 96 (* (pow a 4) x))) (pow x 3))
(/ (- (+ (* 96 (/ 1 (* (pow a 5) (pow x 2)))) (+ (* 192 (/ 1 (* (pow a 6) (pow x 3)))) (* 24 (/ 1 (pow a 3))))) (/ 96 (* (pow a 4) x))) (pow x 3))
(* 1/12 (* (pow a 2) x))
(* x (+ (* -1/2 (/ a x)) (* 1/12 (pow a 2))))
(* x (+ (* -1/2 (/ a x)) (* 1/12 (pow a 2))))
(* x (+ (* -1/2 (/ a x)) (* 1/12 (pow a 2))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* -1/2 (* a x))
(* x (+ (* -1/2 a) (/ 1 x)))
(* x (+ (* -1/2 a) (/ 1 x)))
(* x (+ (* -1/2 a) (/ 1 x)))
(/ 24 (* (pow a 3) (pow x 3)))
(/ (- (* 24 (/ 1 (pow a 3))) (* 96 (/ 1 (* (pow a 4) x)))) (pow x 3))
(/ (- (+ (* 24 (/ 1 (pow a 3))) (/ 96 (* (pow a 5) (pow x 2)))) (/ 96 (* (pow a 4) x))) (pow x 3))
(/ (- (+ (* 96 (/ 1 (* (pow a 5) (pow x 2)))) (+ (* 192 (/ 1 (* (pow a 6) (pow x 3)))) (* 24 (/ 1 (pow a 3))))) (/ 96 (* (pow a 4) x))) (pow x 3))
(* 1/12 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* -1/2 (/ a x)) (* 1/12 (pow a 2))))
(* (pow x 2) (+ (* -1/2 (/ a x)) (+ (* 1/12 (pow a 2)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (/ a x)) (+ (* 1/12 (pow a 2)) (/ 1 (pow x 2)))))
(* -1/24 (* (pow a 4) (pow x 3)))
(* -1 (* (pow x 3) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4)))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* a x)
(* a x)
(* a x)
(* a x)
(/ 24 (* (pow a 3) (pow x 3)))
(* -1 (/ (- (* 96 (/ 1 (* (pow a 4) x))) (* 24 (/ 1 (pow a 3)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 (* (pow a 5) x))) (* 96 (/ 1 (pow a 4)))) x)) (* 24 (/ 1 (pow a 3)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (+ (/ 96 (* (pow a 5) x)) (/ 192 (* (pow a 6) (pow x 2)))) (* 96 (/ 1 (pow a 4)))) x)) (* 24 (/ 1 (pow a 3)))) (pow x 3)))
(* 1/12 (* (pow a 2) x))
(* -1 (* x (+ (* -1/12 (pow a 2)) (* 1/2 (/ a x)))))
(* -1 (* x (+ (* -1/12 (pow a 2)) (* 1/2 (/ a x)))))
(* -1 (* x (+ (* -1/12 (pow a 2)) (* 1/2 (/ a x)))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3)))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* -1/2 (* a x))
(* -1 (* x (- (* 1/2 a) (/ 1 x))))
(* -1 (* x (- (* 1/2 a) (/ 1 x))))
(* -1 (* x (- (* 1/2 a) (/ 1 x))))
(/ 24 (* (pow a 3) (pow x 3)))
(* -1 (/ (- (* 96 (/ 1 (* (pow a 4) x))) (* 24 (/ 1 (pow a 3)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 (* (pow a 5) x))) (* 96 (/ 1 (pow a 4)))) x)) (* 24 (/ 1 (pow a 3)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (+ (/ 96 (* (pow a 5) x)) (/ 192 (* (pow a 6) (pow x 2)))) (* 96 (/ 1 (pow a 4)))) x)) (* 24 (/ 1 (pow a 3)))) (pow x 3)))
(* 1/12 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* -1/2 (/ a x)) (* 1/12 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* 1/2 a) (/ 1 x)) x)) (* 1/12 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* 1/2 a) (/ 1 x)) x)) (* 1/12 (pow a 2))))

Outputs
(neg.f64 a)
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal -1 binary64)) a)
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) a (.f64 #s(literal -1/2 binary64) x)) a #s(literal -1 binary64)) a)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) a (*.f64 #s(literal -1/2 binary64) x)) a #s(literal -1 binary64)) a)
(*.f64 x a)
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
(*.f64 x a)
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
(*.f64 x a)
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
(*.f64 x a)
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
(*.f64 x a)
(*.f64 x a)
(*.f64 x a)
(*.f64 x a)
#s(literal 1 binary64)
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) a) (*.f64 #s(literal -1/2 binary64) x)) a #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (neg.f64 a))) a (*.f64 #s(literal -1/2 binary64) x)) a #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) a)
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x a) #s(literal -1/2 binary64)) a)
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x a) #s(literal -1/2 binary64)) a)
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x a) #s(literal -1/2 binary64)) a)
(*.f64 x a)
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
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(.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (/.f64 (.f64 (*.f64 a a) (fma.f64 #s(literal -1/6 binary64) a (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/6 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a (/.f64 a x)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 (*.f64 a a) (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/24 binary64) (/.f64 (.f64 a (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/24 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(.f64 (.f64 #s(literal -1/2 binary64) a) x)
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) x #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 24 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -24 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal -96 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 96 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) x)) (/.f64 #s(literal 96 binary64) (pow.f64 a #s(literal 4 binary64)))) x) (/.f64 #s(literal 24 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 192 binary64) (pow.f64 a #s(literal 6 binary64))) x) x) (/.f64 #s(literal 96 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) x))) (/.f64 #s(literal 96 binary64) (pow.f64 a #s(literal 4 binary64)))) x) (/.f64 #s(literal 24 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/12 binary64)) x)
(.f64 (.f64 (*.f64 a (fma.f64 #s(literal 1/12 binary64) a (/.f64 #s(literal -1/2 binary64) x))) x) x)
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) a) a (/.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))) x) x)
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) a) a (/.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))) x) x)

rewrite153.0ms (2.5%)

Memory

12.7MiB live, 206.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	330
0	68	330
1	229	324
2	1472	320
0	8514	314

Stop Event

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

Counts

16 → 478

Calls

Call 1

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

Outputs
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eval163.0ms (2.7%)

Memory: 4.5MiB live, 205.4MiB allocated
Compiler: Compiled 46 057 to 3 135 computations (93.2% saved)

prune43.0ms (0.7%)

Memory

-7.1MiB live, 72.6MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	961	12	973
Fresh	0	0	0
Picked	3	0	3
Done	1	5	6
Total	965	17	982

Accuracy

100.0%

Counts

982 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(expm1.f64 (*.f64 x a))
	72.7%	#s(approx (- (exp (* x a)) 1) (/.f64 (.f64 a x) #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) a #s(literal 1 binary64)))))
	70.0%	#s(approx (- (exp (* x a)) 1) (/.f64 (.f64 a x) #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 #s(approx (+ (* (* (* a a) 1/12) x) (* -1/2 a)) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x a) #s(literal -1/2 binary64)) a)) x #s(literal 1 binary64)))))
	50.1%	#s(approx (- (exp (* x a)) 1) (/.f64 (.f64 a x) #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) #s(approx (+ (* (+ (* (* (* a a) 1/12) x) (* -1/2 a)) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) a)) (neg.f64 a))) a) a)))))
	3.0%	#s(approx (- (exp (* x a)) 1) (/.f64 (.f64 a x) #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) #s(approx (+ (* (+ (* (* (* a a) 1/12) x) (* -1/2 a)) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/12 binary64)) x)))))
	6.8%	#s(approx (- (exp (* x a)) 1) (/.f64 (.f64 a x) #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) #s(approx (+ (* -1/2 (* a x)) 1) (.f64 (.f64 #s(literal -1/2 binary64) a) x)))))
	66.8%	#s(approx (- (exp (* x a)) 1) (/.f64 a (/.f64 #s(approx (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 a a)) x (*.f64 #s(literal -1/2 binary64) a)) x #s(literal 1 binary64))) x)))
	71.5%	#s(approx (- (exp (* x a)) 1) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64))) (.f64 x a))))
✓	69.5%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 a x)))
✓	68.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
	72.9%	#s(approx (- (exp (* x a)) 1) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x a) #s(literal 1 binary64)))) a))
✓	69.5%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a))
	66.7%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (neg.f64 x) a) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 a a)) x (*.f64 #s(literal -1/2 binary64) a)) x #s(literal 1 binary64))))))
	72.7%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (neg.f64 x) a) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x a) #s(literal 1 binary64))))))
	66.9%	#s(approx (- (exp (* x a)) 1) (.f64 x (/.f64 a #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 a a)) x (*.f64 #s(literal -1/2 binary64) a)) x #s(literal 1 binary64))))))
	72.9%	#s(approx (- (exp (* x a)) 1) (.f64 x (/.f64 a #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x a) #s(literal 1 binary64))))))
✓	69.0%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Compiler

Compiled 1 537 to 597 computations (61.2% saved)

regimes38.0ms (0.6%)

Memory

0.5MiB live, 38.9MiB allocated

Counts

26 → 1

Calls

Call 1

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

Outputs
(expm1.f64 (*.f64 x a))

Calls

5 calls:

8.0ms	(exp.f64 (*.f64 a x))
8.0ms	a
8.0ms	x
7.0ms	(*.f64 a x)
6.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes35.0ms (0.6%)

Memory

-2.1MiB live, 36.2MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
72.9%	1	`a`
72.9%	1	`x`
72.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
72.9%	1	`(exp.f64 (*.f64 a x))`
72.9%	1	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes10.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
69.0%	1	`x`
72.7%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
72.7%	2	`(exp.f64 (*.f64 a x))`
69.0%	1	`a`
72.7%	2	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes12.0ms (0.2%)

Memory

-30.7MiB live, 13.1MiB allocated

Accuracy

Total -2.7b remaining (-13.4%)

Threshold costs -2.7b (-13.4%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (exp (* x a)) 1) (*.f64 a x))

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

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

Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
69.0%	1	`a`
69.0%	1	`x`
69.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
69.0%	1	`(exp.f64 (*.f64 a x))`
69.0%	1	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-12.831901403185473	-0.2259545878432271

Compiler

Compiled 9 to 9 computations (0% saved)

simplify23.0ms (0.4%)

Memory

-2.7MiB live, 36.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	122
1	54	122

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (.f64 x (/.f64 a #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x a) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 a x) #s(literal -10 binary64)) #s(approx (- (exp ( x a)) 1) (/.f64 (.f64 a x) #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) #s(approx (+ (* -1/2 (* a x)) 1) (.f64 (.f64 #s(literal -1/2 binary64) a) x))))) #s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Outputs
(expm1.f64 (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (.f64 (/.f64 a #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 a x) #s(literal 1 binary64)))) x))
(if (<=.f64 (.f64 a x) #s(literal -10 binary64)) #s(approx (- (exp ( x a)) 1) (/.f64 (.f64 a x) #s(approx (/ 1 (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) a) x) 1)) #s(approx (+ (* -1/2 (* a x)) 1) (.f64 (.f64 #s(literal -1/2 binary64) a) x))))) #s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))

soundness1.4s (23%)

Memory

44.9MiB live, 471.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	288
1	185	288
2	494	284
3	981	284
4	1577	284
5	1766	284
6	1793	284
7	1813	284
8	1826	284
9	1828	284
10	1828	284
11	2543	280
12	3009	280
13	3963	280
14	4492	280
15	4492	280
16	4620	280
17	4620	280
18	4620	280
19	6583	276
20	6790	276
21	6832	276
22	6846	276
23	6846	276
24	7022	276
25	7360	276
26	7360	276
27	7905	276
0	7905	232
0	45	330
0	68	330
1	229	324
2	1472	320
0	8514	314
0	484	4696
1	1617	4618
2	5519	4524
0	8254	4160
0	527	6908
1	1825	6755
2	6258	6729
0	8214	6136
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4
0	29	191
0	51	191
1	178	191
2	1203	191
0	8283	183

Stop Event

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

Compiler

Compiled 305 to 176 computations (42.3% saved)

preprocess63.0ms (1%)

Memory: -15.0MiB live, 61.4MiB allocated
Remove: (sort a x)
Compiler: Compiled 288 to 136 computations (52.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	204	34
7	226	34
8	240	34
9	251	34
10	252	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	204	34
7	226	34
8	240	34
9	251	34
10	252	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4

start0.0ms (0%)

analyze21.0ms (0.3%)

sample632.0ms (10.4%)

explain75.0ms (1.2%)

preprocess16.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize21.0ms (0.3%)

series4.0ms (0.1%)

simplify206.0ms (3.4%)

rewrite55.0ms (0.9%)

eval41.0ms (0.7%)

prune5.0ms (0.1%)

simplify337.0ms (5.5%)

localize111.0ms (1.8%)

series34.0ms (0.6%)

simplify329.0ms (5.4%)

rewrite228.0ms (3.8%)

eval113.0ms (1.9%)

prune39.0ms (0.6%)

simplify233.0ms (3.8%)

localize109.0ms (1.8%)

series34.0ms (0.6%)

simplify402.0ms (6.6%)

rewrite237.0ms (3.9%)

eval348.0ms (5.7%)

prune64.0ms (1.1%)

simplify105.0ms (1.7%)

localize127.0ms (2.1%)

series23.0ms (0.4%)

simplify182.0ms (3%)

rewrite153.0ms (2.5%)

eval163.0ms (2.7%)

prune43.0ms (0.7%)

regimes38.0ms (0.6%)

regimes35.0ms (0.6%)

regimes10.0ms (0.2%)

regimes12.0ms (0.2%)

bsearch0.0ms (0%)

simplify23.0ms (0.4%)

soundness1.4s (23%)

preprocess63.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	204	34
7	226	34
8	240	34
9	251	34
10	252	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4