Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze20.0ms (0.3%)

Memory

-11.4MiB live, 29.9MiB 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)

sample570.0ms (9.2%)

Memory

21.5MiB live, 678.9MiB allocated

Samples

326.0ms	8 256×	0	valid
13.0ms	322×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-mult: 69.0ms (42.1% of total)

ival-expm1: 63.0ms (38.4% of total)

ival->: 21.0ms (12.8% of total)

exact: 7.0ms (4.3% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain290.0ms (4.7%)

Memory

-61.7MiB live, 95.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
140	1	(-4.9785906134078275e-129 -1.8966500178663337e-195)	0	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
3	0	-	1	(1.8461760480192047e-299 -4.6057836469931184e+300)	`(exp.f64 (*.f64 a x))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a x)`
0	0	-	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	141	0
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	2	1

Confusion

	Predicted +	Predicted -
+	141	0
-	2	113

Precision

0.986013986013986

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	141	0	0
-	2	1	112

Precision?

0.9791666666666666

Recall?

1.0

Freqs

test

number	freq
0	113
1	143

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

251.0ms

512×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 239.0ms

ival-mult: 231.0ms (96.7% of total)

ival-exp: 4.0ms (1.7% of total)

ival-expm1: 3.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess20.0ms (0.3%)

Memory

-20.9MiB live, 24.5MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`sub-neg`
40×	`exp-sum`
24×	`exp-prod`
24×	`+-commutative`
18×	`*-commutative`

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
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))

Symmetry

(sort a x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.1%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

6×	`lower-exp.f32`
4×	`exp-prod`
4×	`lower-pow.f64`
4×	`lower-+.f64`
4×	`lower-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	20	16
0	20	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

-8.4MiB live, 29.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a x)
accuracy	0.0802227167660563	(exp.f64 (*.f64 a x))
accuracy	31.895331738588588	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-exp: 2.0ms (35.8% of total)

ival-mult: 2.0ms (35.8% of total)

ival-expm1: 2.0ms (35.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

Outputs
#s(alt (* a x) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) (taylor 0 a) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) (taylor 0 a) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor inf a) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor inf a) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor inf a) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor inf a) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor inf a) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor inf a) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor inf a) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor inf a) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf a) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf a) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf a) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf a) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor -inf a) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor -inf a) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor -inf a) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor -inf a) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 x) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* 1/2 (* (pow a 2) x)))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a x)) (taylor 0 x) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) (taylor 0 x) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) (taylor 0 x) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 x) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 x) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 x) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 x) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor inf x) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor inf x) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor inf x) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor inf x) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor inf x) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor inf x) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor inf x) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor inf x) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt (exp.f64 (.f64 a x)) (patch (exp.f64 (.f64 a x)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor -inf x) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor -inf x) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor -inf x) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor -inf x) (#s(alt (.f64 a x) (patch (.f64 a x) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify202.0ms (3.2%)

Memory

27.7MiB live, 101.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 560×	`lower-fma.f64`
8 560×	`lower-fma.f32`
3 428×	`associate-r`
2 992×	`lower-*.f64`
2 992×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	432
1	195	432
2	526	424
3	1045	424
4	1672	424
5	1873	424
6	1900	424
7	1920	424
8	1934	424
9	1937	424
10	1937	424
11	2619	420
12	3094	420
13	4061	420
14	4062	420
15	4062	420
16	4190	420
17	4190	420
18	6071	416
19	6279	416
20	6321	416
21	6335	416
22	6335	416
23	6511	416
24	6849	416
25	6849	416
26	7408	416
0	7408	360

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

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

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

rewrite81.0ms (1.3%)

Memory

-6.0MiB live, 107.5MiB allocated

Rules

806×	`lower-fma.f64`
806×	`lower-fma.f32`
650×	`lower-*.f32`
648×	`lower-*.f64`
594×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11

Stop Event

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

Counts

3 → 111

Calls

Call 1

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

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

eval20.0ms (0.3%)

Memory: -2.8MiB live, 36.2MiB allocated
Compiler: Compiled 3 258 to 323 computations (90.1% saved)

prune59.0ms (0.9%)

Memory

-29.2MiB live, 20.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	173	10	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	174	10	184

Accuracy

100.0%

Counts

184 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 (.f64 (expm1.f64 (fma.f64 x (+.f64 a a) (.f64 a (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) #s(literal 1 binary64)))
	50.1%	(-.f64 (pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
▶	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	23.0%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	21.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	99.9%	(expm1.f64 (*.f64 x a))
▶	72.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
	73.0%	#s(approx (- (exp (* a x)) 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 x a)))
	67.3%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
	72.1%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 280 to 166 computations (40.7% saved)

simplify199.0ms (3.2%)

Memory

43.7MiB live, 153.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 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 x a) #s(literal 1/2 binary64)) x)
cost-diff	0	(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #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 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
cost-diff	0	(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
cost-diff	0	(fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 x a #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(*.f64 x a)
cost-diff	0	(expm1.f64 (*.f64 x a))

Rules

20 738×	`lower-fma.f32`
20 726×	`lower-fma.f64`
6 136×	`lower-+.f64`
6 136×	`lower-+.f32`
5 760×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	221
0	51	219
1	89	219
2	163	219
3	398	219
4	1138	219
5	2687	219
6	4219	219
7	4668	219
8	4705	219
9	4705	219
10	7583	219
11	7583	219
12	7583	219
13	7859	219
14	7859	219
0	9774	219

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (1.5%)

Memory

1.6MiB live, 83.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.24605879048829823	(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
accuracy	0.289898067830768	(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x)
accuracy	0.390625	(*.f64 #s(literal 1/24 binary64) x)
accuracy	17.81473005859501	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
accuracy	0.7442341893129242	(fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
accuracy	7.058504130569374	(.f64 (.f64 a a) x)
accuracy	17.657949782653105	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
accuracy	31.895331738588588	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0	(fma.f64 x a #s(literal 1 binary64))
accuracy	17.87402170431404	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
accuracy	31.895331738588588	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	18.212555899511134	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	31.895331738588588	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0	(*.f64 x a)
accuracy	0.040825043405595035	(expm1.f64 (*.f64 x a))

Samples

78.0ms

256×

valid

Compiler

Compiled 181 to 29 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-add: 28.0ms (44.1% of total)

ival-mult: 20.0ms (31.5% of total)

const: 6.0ms (9.5% of total)

ival-exp: 5.0ms (7.9% of total)

ival-expm1: 3.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.5%)

Memory

1.4MiB live, 39.3MiB allocated

Counts

17 → 396

Calls

Call 1

Inputs
#s(alt (expm1.f64 (.f64 x a)) (patch (expm1.f64 (.f64 x a)) #<representation binary64>) () ())
#s(alt (.f64 x a) (patch (.f64 x a) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (* a x)) #s(literal 1 binary64)) (patch #s(approx (exp (* a x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) (patch (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a))) (patch #s(approx (- (exp ( a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 a a) x) (patch (.f64 (.f64 a a) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/24 binary64) x) (patch (.f64 #s(literal 1/24 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (* a x) (taylor 0 a) (#s(alt (expm1.f64 (.f64 x a)) (patch (expm1.f64 (.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (expm1.f64 (.f64 x a)) (patch (expm1.f64 (.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (expm1.f64 (.f64 x a)) (patch (expm1.f64 (.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt (expm1.f64 (.f64 x a)) (patch (expm1.f64 (.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 x a) (patch (.f64 x a) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 x a) (patch (.f64 x a) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 x a) (patch (.f64 x a) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 x a) (patch (.f64 x a) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt #s(approx (exp (* a x)) #s(literal 1 binary64)) (patch #s(approx (exp (* a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) #s(literal 1 binary64)) (patch #s(approx (exp (* a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) #s(literal 1 binary64)) (patch #s(approx (exp (* a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) #s(literal 1 binary64)) (patch #s(approx (exp (* a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor -inf x) (#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 a) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 a) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 a) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a 2) (pow x 2))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a 2) x)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) (patch (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) (patch (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) (patch (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) (patch (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a))) (patch #s(approx (- (exp ( a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a))) (patch #s(approx (- (exp ( a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a))) (patch #s(approx (- (exp ( a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a))) (patch #s(approx (- (exp ( a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (* (pow a 4) (pow x 4))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (* (pow a 3) (pow x 3))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (* (pow a 2) (pow x 3))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (.f64 (.f64 a a) x) (patch (.f64 (.f64 a a) x) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (.f64 (.f64 a a) x) (patch (.f64 (.f64 a a) x) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (.f64 (.f64 a a) x) (patch (.f64 (.f64 a a) x) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (.f64 (.f64 a a) x) (patch (.f64 (.f64 a a) x) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/24 binary64) x) (patch (.f64 #s(literal 1/24 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/24 binary64) x) (patch (.f64 #s(literal 1/24 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/24 binary64) x) (patch (.f64 #s(literal 1/24 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/24 binary64) x) (patch (.f64 #s(literal 1/24 binary64) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* (* a a) x) (* 1/24 x))
3.0ms	a	@	-inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* (* a a) x) (* 1/24 x))
3.0ms	x	@	-inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* (* a a) x) (* 1/24 x))
3.0ms	x	@	inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* (* a a) x) (* 1/24 x))
2.0ms	a	@	inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* (* a a) x) (* 1/24 x))

simplify212.0ms (3.4%)

Memory

-5.6MiB live, 177.6MiB allocated

Algorithm

1×	egg-herbie

Rules

20 954×	`lower-fma.f64`
20 954×	`lower-fma.f32`
5 792×	`lower-*.f64`
5 792×	`lower-*.f32`
3 606×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	3586
1	1038	3548
2	3340	3462
0	8272	3054

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 394

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

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

rewrite231.0ms (3.7%)

Memory

12.9MiB live, 257.1MiB allocated

Rules

5 064×	`lower-*.f32`
5 052×	`lower-*.f64`
4 514×	`lower-/.f64`
4 514×	`lower-/.f32`
4 362×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	182
0	51	180
1	216	180
2	1479	180
0	8370	180

Stop Event

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

Counts

17 → 450

Calls

Call 1

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

Outputs
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 (expm1.f64 (.f64 a x)) #s(literal 1 binary64)))
(.f64 (neg.f64 (expm1.f64 (.f64 x (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))))
(.f64 (neg.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x))))))
(.f64 (expm1.f64 (.f64 x (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 x (+.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x (+.f64 a a))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))))
(.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))))
(.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 x (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 x (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 (exp.f64 (.f64 x (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (.f64 (/.f64 (exp.f64 (.f64 x (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 x (.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (.f64 a x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (.f64 a x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 x (.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (.f64 a x)))) (/.f64 (exp.f64 (.f64 x (.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (.f64 a x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (.f64 a x)))) (.f64 (/.f64 (exp.f64 (.f64 x (.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (.f64 x (.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x (+.f64 a a))) (.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 x (+.f64 a a))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (.f64 a x))))))
(/.f64 (.f64 (expm1.f64 (+.f64 (fma.f64 a x (.f64 a x)) (fma.f64 a x (.f64 a x)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))
(/.f64 (.f64 (expm1.f64 (.f64 (fma.f64 a x (.f64 a x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (+.f64 (fma.f64 a x (.f64 a x)) (fma.f64 a x (.f64 a x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (+.f64 a a))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))
(/.f64 (.f64 (expm1.f64 (.f64 (fma.f64 a x (.f64 a x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 x (.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (.f64 a x)))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (fma.f64 a x (.f64 a x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (.f64 a #s(literal 3 binary64)))))) (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x (.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (.f64 a x)))) (.f64 (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (.f64 a x))) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (.f64 a x))) (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x (+.f64 a a)))) (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x (+.f64 a a)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (.f64 a x)))))
(/.f64 (expm1.f64 (.f64 x (+.f64 a a))) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 x (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))))
(/.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 x (+.f64 a a))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (.f64 a x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (.f64 x (+.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))) (expm1.f64 (.f64 x (*.f64 a #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (exp.f64 (.f64 x (.f64 a #s(literal 1/2 binary64)))) (exp.f64 (.f64 x (.f64 a #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 a (.f64 #s(literal 1/2 binary64) x))) (exp.f64 (.f64 a (.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (exp.f64 (.f64 x (+.f64 a a))) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 x (.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 x (+.f64 a a))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x (+.f64 a a))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (exp.f64 (.f64 x (+.f64 a a))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(-.f64 (/.f64 (exp.f64 (.f64 x (.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (.f64 a x)))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 a x))
(.f64 (.f64 a x) #s(literal 1 binary64))
(.f64 a (.f64 x #s(literal 1 binary64)))
(*.f64 a x)
(.f64 x (.f64 a #s(literal 1 binary64)))
(*.f64 x a)
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 0 binary64))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 a (*.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(+.f64 (log.f64 (exp.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (exp.f64 (.f64 a (.f64 #s(literal 1/2 binary64) x)))) (log.f64 (exp.f64 (.f64 a (.f64 #s(literal 1/2 binary64) x)))))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(log.f64 (exp.f64 (*.f64 a x)))
(.f64 (/.f64 (+.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (fma.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(.f64 (fma.f64 (.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
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(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x)))
(.f64 (.f64 a a) x)
(.f64 (.f64 a x) a)
(.f64 a (.f64 a x))
(.f64 x (.f64 a a))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 x #s(literal 1/24 binary64))

eval188.0ms (3%)

Memory: -11.8MiB live, 137.7MiB allocated
Compiler: Compiled 25 728 to 1 782 computations (93.1% saved)

prune151.0ms (2.4%)

Memory

-1.2MiB live, 76.9MiB allocated

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	909	17	926
Fresh	2	3	5
Picked	0	5	5
Done	0	0	0
Total	911	25	936

Accuracy

100.0%

Counts

936 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
▶	23.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))
	50.1%	(-.f64 (pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	23.0%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	23.3%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 (.f64 a a) x) x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
	22.8%	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) x) x) (.f64 a x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 a x)))))) #s(literal 1 binary64))
	23.3%	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
	4.3%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
✓	21.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
	22.3%	(.f64 (fma.f64 (.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))))
▶	22.6%	(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
✓	99.9%	(expm1.f64 (*.f64 x a))
	69.8%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64))) a x) a))
	71.8%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
▶	72.1%	#s(approx (- (exp (* x a)) 1) (*.f64 x a))
	72.2%	#s(approx (- (exp (* a x)) 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 x a)))
	72.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) x)) a #s(literal 1 binary64)) (.f64 x a)))
✓	72.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
▶	73.0%	#s(approx (- (exp (* a x)) 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 x a)))
	67.3%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
	68.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (*.f64 x a)))
	35.9%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (fma.f64 (.f64 (fma.f64 (/.f64 a (.f64 x x)) #s(literal 1/2 binary64) (.f64 (.f64 a a) (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x)))) x) (.f64 x x) #s(literal 1 binary64))) (.f64 x a)))
	20.4%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/24 binary64)) x) x) a)) (*.f64 x a)))
▶	20.7%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a)) (.f64 x a)))

Compiler

Compiled 886 to 453 computations (48.9% saved)

simplify180.0ms (2.9%)

Memory

27.1MiB live, 107.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 a x #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
cost-diff	2176	(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a)
cost-diff	0	#s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a))
cost-diff	0	(.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a)) (.f64 x a))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a)) (.f64 x a)))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))
cost-diff	0	(*.f64 x a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (*.f64 x a))
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 x a))
cost-diff	0	#s(approx (- (exp (* a x)) 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 x a)))

Rules

19 158×	`lower-fma.f32`
19 148×	`lower-fma.f64`
3 248×	`lower-*.f32`
3 226×	`lower-*.f64`
3 170×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	410
0	73	380
1	145	380
2	324	380
3	814	380
4	2066	380
5	4638	380
0	8376	368

Stop Event

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

Calls

Call 1

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

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

localize246.0ms (4%)

Memory

-1.2MiB live, 315.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))
accuracy	17.87402170431404	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy	31.915832410984635	(fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
accuracy	4.509592421625145	(.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a)
accuracy	6.663439956046963	(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)
accuracy	17.81473005859501	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a)) (.f64 x a)))
accuracy	44.79023812692223	#s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a))
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	0.35327024296914566	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))
accuracy	17.87402170431404	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy	31.895331738588588	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0	(*.f64 x a)
accuracy	17.87146077478103	#s(approx (- (exp (* x a)) 1) (*.f64 x a))
accuracy	0.05078125	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
accuracy	0.390625	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.7443298220947343	(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	17.30273739128503	#s(approx (- (exp (* a x)) 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 x a)))

Samples

125.0ms	104×	1	valid
63.0ms	73×	2	valid
23.0ms	79×	0	valid

Compiler

Compiled 277 to 45 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-mult: 72.0ms (48% of total)

ival-exp: 23.0ms (15.3% of total)

adjust: 16.0ms (10.7% of total)

ival-add: 15.0ms (10% of total)

const: 9.0ms (6% of total)

ival-div: 7.0ms (4.7% of total)

ival-expm1: 4.0ms (2.7% of total)

ival-sub: 2.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.9%)

Memory

-11.1MiB live, 106.4MiB allocated

Counts

22 → 516

Calls

Call 1

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

Outputs
#s(alt (* a x) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 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 x a))) (patch #s(approx (- (exp (* a x)) 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 x a))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 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 x a))) (patch #s(approx (- (exp (* a x)) 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 x a))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 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 x a))) (patch #s(approx (- (exp (* a x)) 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 x a))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 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 x a))) (patch #s(approx (- (exp (* a x)) 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 x a))) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.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 x a)) (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 x a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (.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 x a)) (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 x a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (.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 x a)) (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 x a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (.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 x a)) (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 x a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (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 (+ 1 (* 1/2 (* a x))) (taylor 0 a) (#s(alt (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (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 (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) (taylor 0 a) (#s(alt (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (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 (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) (taylor 0 a) (#s(alt (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (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 (* 1/2 a) (taylor 0 a) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1/2 (* 1/6 (* a x)))) (taylor 0 a) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1/2 (* 1/6 (* a x)))) (taylor 0 a) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1/2 (* 1/6 (* a x)))) (taylor 0 a) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt #s(approx (- (exp (* x a)) 1) (.f64 x a)) (patch #s(approx (- (exp ( x a)) 1) (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* x a)) 1) (.f64 x a)) (patch #s(approx (- (exp ( x a)) 1) (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* x a)) 1) (.f64 x a)) (patch #s(approx (- (exp ( x a)) 1) (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* x a)) 1) (.f64 x a)) (patch #s(approx (- (exp ( x a)) 1) (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 x a) (patch (.f64 x a) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 x a) (patch (.f64 x a) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 x a) (patch (.f64 x a) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 x a) (patch (.f64 x a) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a)) (patch #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a)) (patch #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (* (pow a 3) (pow x 3))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a) (patch (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a) (patch (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a) (patch (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a) (patch (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) (patch (.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) (patch (.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) (patch (.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) (patch (.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (pow (exp (* a x)) 2) 1) (taylor -inf x) (#s(alt (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow (exp (* a x)) 2) 1) (taylor -inf x) (#s(alt (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow (exp (* a x)) 2) 1) (taylor -inf x) (#s(alt (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow (exp (* a x)) 2) 1) (taylor -inf x) (#s(alt (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor -inf x) (#s(alt (fma.f64 a x #s(literal 1 binary64)) (patch (fma.f64 a x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 a) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 a x #s(literal 1 binary64)) (patch (fma.f64 a x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 a) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 a x #s(literal 1 binary64)) (patch (fma.f64 a x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 a) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 a x #s(literal 1 binary64)) (patch (fma.f64 a x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a x)) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (* (pow a 2) (pow x 3))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) (patch (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) (patch (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) (patch (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) (patch (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* a x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* a x))) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* x a) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (* (+ (* (exp (* a x)) (exp (* a x))) -1) (/ 1 (- (exp (* a x)) -1))) (+ (* (exp (* a x)) (exp (* a x))) -1) (+ (* a x) 1) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) (/ 1 (- (exp (* a x)) -1)) (- (exp (* a x)) -1))
8.0ms	a	@	0	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* x a) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (* (+ (* (exp (* a x)) (exp (* a x))) -1) (/ 1 (- (exp (* a x)) -1))) (+ (* (exp (* a x)) (exp (* a x))) -1) (+ (* a x) 1) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) (/ 1 (- (exp (* a x)) -1)) (- (exp (* a x)) -1))
4.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* x a) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (* (+ (* (exp (* a x)) (exp (* a x))) -1) (/ 1 (- (exp (* a x)) -1))) (+ (* (exp (* a x)) (exp (* a x))) -1) (+ (* a x) 1) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) (/ 1 (- (exp (* a x)) -1)) (- (exp (* a x)) -1))
4.0ms	x	@	0	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* x a) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (* (+ (* (exp (* a x)) (exp (* a x))) -1) (/ 1 (- (exp (* a x)) -1))) (+ (* (exp (* a x)) (exp (* a x))) -1) (+ (* a x) 1) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) (/ 1 (- (exp (* a x)) -1)) (- (exp (* a x)) -1))
4.0ms	x	@	inf	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* x a) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (* (+ (* (exp (* a x)) (exp (* a x))) -1) (/ 1 (- (exp (* a x)) -1))) (+ (* (exp (* a x)) (exp (* a x))) -1) (+ (* a x) 1) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) (/ 1 (- (exp (* a x)) -1)) (- (exp (* a x)) -1))

simplify160.0ms (2.6%)

Memory

-5.2MiB live, 188.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 846×	`lower-fma.f64`
12 846×	`lower-fma.f32`
6 820×	`lower-*.f64`
6 820×	`lower-*.f32`
2 792×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	553	5640
1	1864	5478
2	6547	5446
0	8343	4876

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

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))))))
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)
(* 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))))))))
(/ 1 (* a x))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(* 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 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 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)))))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(* (pow a 2) (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(* (pow a 2) (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(* a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (* a (- (* 1/2 (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4))))) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(* 2 (* a x))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (pow x 3)))))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (+ (* a (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4))))) (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 (* a (pow x 2)))
(* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
1/2
(+ 1/2 (* -1/4 (* a x)))
(+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))
(+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))
2
(+ 2 (* a x))
(+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (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 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)
(* 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 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* 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 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 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))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a 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)
(* 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 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* 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 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 3)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* 1/6 (* a x))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* 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 (* 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)
(* 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))))))))
(/ 1 (* a x))
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (+ (* -1/12 (pow a 2)) (* 1/24 (pow a 2)))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 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))))))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (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))))))))
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)))))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))
(* (pow x 2) (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))
(* (pow x 2) (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))
(* a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (* 1/2 (+ (* 1/3 (pow a 3)) (pow a 3))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 1/2 (+ (* 1/3 (pow a 3)) (pow a 3))) (* x (- (* 1/2 (+ (* 1/12 (pow a 4)) (+ (* 1/4 (pow a 4)) (* 1/3 (pow a 4))))) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 1/2 (+ (* 1/3 (pow a 3)) (pow a 3))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(* 2 (* a x))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 1/3 (pow a 3)) (pow a 3)))))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 1/3 (pow a 3)) (+ (* x (+ (* 1/12 (pow a 4)) (+ (* 1/4 (pow a 4)) (* 1/3 (pow a 4))))) (pow a 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(* (pow x 2) (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
(* (pow x 2) (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))
1/2
(+ 1/2 (* -1/4 (* a x)))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))
2
(+ 2 (* a x))
(+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (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 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)
(* 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 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* 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 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))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (* a x))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a 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)
(* 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 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* 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 (* (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) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x))))
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(- (pow (exp (* a x)) 2) 1)
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (* a x))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(/ 1 (+ 1 (exp (* a x))))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))

Outputs
(* a x)
(*.f64 x a)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) a)) a x) a)
(* a x)
(*.f64 x a)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ 1/2 (* 1/6 (* a x))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a)
(* a (+ 1/2 (* 1/6 (* a x))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a)
(* a (+ 1/2 (* 1/6 (* a x))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a)
(* a x)
(*.f64 x a)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) a)) a x) a)
(* a x)
(*.f64 x a)
(* a x)
(*.f64 x a)
(* a x)
(*.f64 x a)
(* a x)
(*.f64 x a)
(* a x)
(*.f64 x a)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) a)) a x) a)
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 x a))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)
(/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) a (/.f64 #s(literal 1 binary64) x)) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) #s(literal -1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) a (*.f64 #s(literal -1/12 binary64) x))) a #s(literal -1/2 binary64)) a (/.f64 #s(literal 1 binary64) x)) a)
(* a x)
(*.f64 x a)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) a)) a x) a)
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 x a #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))
(* a x)
(*.f64 x a)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) a)) a x) a)
(* a x)
(*.f64 x a)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) a)) a x) a)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) x (.f64 #s(literal 1/6 binary64) a)) x) x (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64))
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x)
(* (pow a 2) (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) x (.f64 #s(literal 1/6 binary64) a)) x) x) a)
(* (pow a 2) (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) x (.f64 #s(literal 1/6 binary64) a)) x) x) a)
(* (pow a 2) (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) x (.f64 #s(literal 1/6 binary64) a)) x) x) a)
(* a x)
(*.f64 x a)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* a (+ x (* a (- (+ (* a (- (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) x)))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (- (+ (* a (- (+ (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (* a (- (* 1/2 (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4))))) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) x)))) x) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (.f64 x x)))))) a (fma.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) x))))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
(* 2 (* a x))
(.f64 (.f64 #s(literal 2 binary64) a) x)
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(.f64 (.f64 (fma.f64 (*.f64 x x) a x) #s(literal 2 binary64)) a)
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (pow x 3)))))))
(.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 (.f64 (.f64 x x) x) a) (.f64 (.f64 #s(literal 2 binary64) x) x)) a (*.f64 #s(literal 2 binary64) x)) a)
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (+ (* a (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4))))) (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) (.f64 x x)) x (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 2/3 binary64)) a)) a (.f64 (.f64 #s(literal 2 binary64) x) x)) a (*.f64 #s(literal 2 binary64) x)) a)
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 x a #s(literal 1 binary64))
(+ 1 (* a x))
(fma.f64 x a #s(literal 1 binary64))
(+ 1 (* a x))
(fma.f64 x a #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))
(* 1/6 (* a (pow x 2)))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) a))
(* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/6 binary64) a)) x) x)
(* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/6 binary64) a)) x) x)
(* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 a a) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/6 binary64) a)) x) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* a x)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) a #s(literal 1/2 binary64))
(+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) a #s(literal 1/2 binary64))
(+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))
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(expm1.f64 (fma.f64 x a (*.f64 x a)))
(- (pow (exp (* a x)) 2) 1)
(expm1.f64 (fma.f64 x a (*.f64 x a)))
(- (pow (exp (* a x)) 2) 1)
(expm1.f64 (fma.f64 x a (*.f64 x a)))
(- (pow (exp (* a x)) 2) 1)
(expm1.f64 (fma.f64 x a (*.f64 x a)))
(* a x)
(*.f64 x a)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 x a #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 x a #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 x a #s(literal 1 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (* a x))
(.f64 #s(literal 1/6 binary64) (.f64 x a))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) a (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) a (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) a (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))
(* 1/24 (* (pow a 2) (pow x 3)))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) a) a) x) #s(literal 1/24 binary64))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(.f64 (.f64 (fma.f64 (/.f64 a x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/24 binary64))) x) (*.f64 x x))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(.f64 (.f64 (fma.f64 (/.f64 a x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/24 binary64))) x) (*.f64 x x))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(.f64 (.f64 (fma.f64 (/.f64 a x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/24 binary64))) x) (*.f64 x x))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (* a x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)))
(+ 1 (exp (* a x)))
(+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
(+ 1 (exp (* a x)))
(+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
(+ 1 (exp (* a x)))
(+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
(+ 1 (exp (* a x)))
(+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))

rewrite272.0ms (4.4%)

Memory

20.9MiB live, 332.2MiB allocated

Rules

4 796×	`lower-fma.f32`
4 786×	`lower-fma.f64`
4 142×	`lower-/.f32`
4 136×	`lower-/.f64`
3 814×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	351
0	73	314
1	304	306
2	1867	306
0	8134	294

Stop Event

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

Counts

22 → 1 096

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 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)
(.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 x a) (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 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))
(.f64 x (.f64 a (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 (.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))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 a a) a))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)) (-.f64 (.f64 (.f64 (.f64 x a) x) a) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)) (.f64 x a)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 a a) a))) (fma.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (-.f64 (.f64 (.f64 (.f64 x a) x) a) (.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (.f64 x a)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x a) x) a) (.f64 x a) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x a) x) a (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a))) (.f64 (.f64 x a) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x a) x) a) (.f64 x a) (pow.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x a) x) a (-.f64 (.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))) (.f64 (.f64 x a) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64)) (.f64 x a))) (neg.f64 (fma.f64 (.f64 x a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64)) (.f64 x a))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))))
(/.f64 (neg.f64 (.f64 (.f64 x a) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (.f64 x a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x a) (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64)) (.f64 x a)) (fma.f64 (.f64 x a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64)) (.f64 x a)) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))
(/.f64 (.f64 (.f64 x a) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64))) (fma.f64 (.f64 x a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x a) (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64)) (.f64 x a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64)) (*.f64 x a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x a) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))) (.f64 (.f64 x a) (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64)))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a) (*.f64 x a))
(fma.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a))
(fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)))
(fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))
(fma.f64 #s(literal 1 binary64) (.f64 x a) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)))
(fma.f64 #s(literal 1 binary64) (.f64 x a) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))
(fma.f64 x a (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a)))
(fma.f64 x a (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))
(fma.f64 a (.f64 x #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a)))
(fma.f64 a (.f64 x #s(literal 1 binary64)) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))
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(-.f64 (/.f64 (.f64 (.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))
(exp.f64 (neg.f64 (.f64 (log1p.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal -1 binary64))))

eval242.0ms (3.9%)

Memory: 31.7MiB live, 325.8MiB allocated
Compiler: Compiled 69 696 to 3 575 computations (94.9% saved)

prune64.0ms (1%)

Memory

10.8MiB live, 137.2MiB allocated

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	1 930	13	1 943
Fresh	7	8	15
Picked	4	1	5
Done	0	5	5
Total	1 941	27	1 968

Accuracy

100.0%

Counts

1 968 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a))))
▶	76.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
	50.1%	(-.f64 (pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	23.0%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	23.3%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 (.f64 a a) x) x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
	4.3%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
✓	21.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
	22.0%	(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ 1 (- (exp (* a x)) -1)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) a) #s(literal 1/48 binary64)) x (*.f64 #s(literal -1/4 binary64) a)) x #s(literal 1/2 binary64))))
	22.2%	(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ 1 (- (exp (* a x)) -1)) #s(literal 1/2 binary64)))
✓	99.9%	(expm1.f64 (*.f64 x a))
	67.3%	#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	69.8%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64))) a x) a))
▶	71.8%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
✓	72.1%	#s(approx (- (exp (* x a)) 1) (*.f64 x a))
	72.2%	#s(approx (- (exp (* a x)) 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 x a)))
	73.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
	72.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) x)) a #s(literal 1 binary64)) (.f64 x a)))
✓	72.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
	71.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x a))) a) x #s(literal 1 binary64)) (*.f64 x a)))
▶	68.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (*.f64 x a)))
	67.6%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (* 1/6 x) a) 1/2) a) (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64))) x #s(literal 1 binary64)) (.f64 x a)))
	72.9%	#s(approx (- (exp (* a x)) 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))
	20.7%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) a))) x) a))
	20.4%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) a) #s(literal 1/24 binary64)) x) x)) (*.f64 x a)))
	21.0%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 x a) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) x)) a)) (.f64 x a)))
▶	21.5%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (*.f64 x a)))

Compiler

Compiled 842 to 472 computations (43.9% saved)

simplify76.0ms (1.2%)

Memory

-17.1MiB live, 59.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3 088×	`lower-fma.f32`
3 076×	`lower-fma.f64`
1 766×	`lower-*.f32`
1 736×	`lower-*.f64`
1 460×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	560
0	92	553
1	181	553
2	410	553
3	929	553
4	1243	553
5	1738	553
6	2172	553
7	2434	553
8	2519	553
9	3263	553
10	3316	553
11	3326	553
12	3326	553
13	3526	553
0	3526	531

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize147.0ms (2.4%)

Memory

2.3MiB live, 127.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3939417075506388	(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))
accuracy	6.663439956046963	(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)
accuracy	17.81473005859501	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (*.f64 x a)))
accuracy	44.153976785742856	#s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a))
accuracy	0.07421875	(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))
accuracy	0.2538268139119107	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64))) a x) a)
accuracy	3.851514219146729	(fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x)
accuracy	17.30273739128503	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64))) a x) a))
accuracy	7.058504130569374	(.f64 (.f64 a a) x)
accuracy	17.81473005859501	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (*.f64 x a)))
accuracy	18.6350083760412	#s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))
accuracy	44.79023812692223	#s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x)))
accuracy	0	(*.f64 x a)
accuracy	0.0390625	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a)
accuracy	0.7442341893129242	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)
accuracy	18.05897821172324	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
accuracy	0.0078125	(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a))
accuracy	0.1484375	(/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)
accuracy	0.35327024296914566	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
accuracy	14.960647131973293	#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))

Samples

114.0ms

256×

valid

Compiler

Compiled 350 to 49 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 40.0ms (62.4% of total)

ival-add: 8.0ms (12.5% of total)

ival-div: 6.0ms (9.4% of total)

const: 6.0ms (9.4% of total)

ival-expm1: 3.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series46.0ms (0.7%)

Memory

16.7MiB live, 54.1MiB allocated

Counts

25 → 600

Calls

Call 1

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

Outputs
#s(alt (* a x) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a x)) (taylor 0 a) (#s(alt #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) (patch #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 a) (/ 1 x)) a) (taylor 0 a) (#s(alt #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) (patch #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a) (taylor 0 a) (#s(alt #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) (patch #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a) (taylor 0 a) (#s(alt #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) (patch #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a x)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 a) (/ 1 x)) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 a) (/ 1 x)) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 a) (/ 1 x)) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor 0 a) (#s(alt (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/2 (* a x))) a) (taylor 0 a) (#s(alt (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/2 (* a x))) a) (taylor 0 a) (#s(alt (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/2 (* a x))) a) (taylor 0 a) (#s(alt (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) (patch (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt #s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x)) (patch #s(approx (- (exp ( x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x)) (patch #s(approx (- (exp ( x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x)) (patch #s(approx (- (exp ( x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x)) (patch #s(approx (- (exp ( x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) x) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 a) (#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/2 (* a x)))) (taylor 0 a) (#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/2 (* a x)))) (taylor 0 a) (#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 1/2 (* a x)))) (taylor 0 a) (#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* a x))) (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* a x))) (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* a x))) (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (.f64 x a))) (patch #s(approx (- (exp ( a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (*.f64 x a))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (.f64 x a))) (patch #s(approx (- (exp ( a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (*.f64 x a))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (.f64 x a))) (patch #s(approx (- (exp ( a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (*.f64 x a))) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (.f64 x a))) (patch #s(approx (- (exp ( a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (*.f64 x a))) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor 0 a) (#s(alt (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (.f64 x a)) (patch (.f64 #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (.f64 x a)) (patch (.f64 #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (.f64 x a)) (patch (.f64 #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (.f64 x a)) (patch (.f64 #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (patch #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* a x))) (taylor 0 a) (#s(alt #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (patch #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) (taylor 0 a) (#s(alt #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (patch #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))) (taylor 0 a) (#s(alt #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (patch #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64))) (patch (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (.f64 x a))) (patch #s(approx (- (exp ( a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (.f64 x a))) (patch #s(approx (- (exp ( a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (.f64 x a))) (patch #s(approx (- (exp ( a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (.f64 x a))) (patch #s(approx (- (exp ( a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (* (pow a 4) (pow x 4))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (.f64 x a)) (patch (.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (.f64 x a)) (patch (.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (.f64 x a)) (patch (.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (.f64 x a)) (patch (.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (* (pow a 3) (pow x 3))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (* (pow a 2) (pow x 3))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) (patch #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) (patch #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) (patch #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) (patch #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor -inf x) (#s(alt (.f64 x a) (patch (.f64 x a) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor -inf x) (#s(alt (.f64 x a) (patch (.f64 x a) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor -inf x) (#s(alt (.f64 x a) (patch (.f64 x a) #<representation binary64>) () ())) ())
#s(alt (* a x) (taylor -inf x) (#s(alt (.f64 x a) (patch (.f64 x a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (.f64 (.f64 a a) x) (patch (.f64 (.f64 a a) x) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (.f64 (.f64 a a) x) (patch (.f64 (.f64 a a) x) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (.f64 (.f64 a a) x) (patch (.f64 (.f64 a a) x) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (.f64 (.f64 a a) x) (patch (.f64 (.f64 a a) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* a x)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (* (pow a 2) (pow x 3))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) (patch (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) (patch (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) (patch (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) (patch (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (* a (pow x 3))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1/24 a) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1/24 a) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1/24 a) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 x) (/ 1 a)) x) (+ (* -1/2 x) (/ 1 a)) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* x a)) 1) a) x) (* (+ (* 1/2 (* x a)) 1) a) (+ (* 1/2 (* x a)) 1) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* x a)) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* 1/6 (* x a)) 1/2)) a) x) (* (* x x) (+ (* 1/6 (* x a)) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* x a) (* (* a a) x) (+ (* 1/6 (* x a)) 1/2) (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) (* (* x x) (+ (* (* 1/24 a) x) 1/6)))
4.0ms	x	@	-inf	((/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 x) (/ 1 a)) x) (+ (* -1/2 x) (/ 1 a)) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* x a)) 1) a) x) (* (+ (* 1/2 (* x a)) 1) a) (+ (* 1/2 (* x a)) 1) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* x a)) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* 1/6 (* x a)) 1/2)) a) x) (* (* x x) (+ (* 1/6 (* x a)) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* x a) (* (* a a) x) (+ (* 1/6 (* x a)) 1/2) (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) (* (* x x) (+ (* (* 1/24 a) x) 1/6)))
3.0ms	a	@	-inf	((/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 x) (/ 1 a)) x) (+ (* -1/2 x) (/ 1 a)) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* x a)) 1) a) x) (* (+ (* 1/2 (* x a)) 1) a) (+ (* 1/2 (* x a)) 1) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* x a)) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* 1/6 (* x a)) 1/2)) a) x) (* (* x x) (+ (* 1/6 (* x a)) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* x a) (* (* a a) x) (+ (* 1/6 (* x a)) 1/2) (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) (* (* x x) (+ (* (* 1/24 a) x) 1/6)))
3.0ms	x	@	inf	((/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 x) (/ 1 a)) x) (+ (* -1/2 x) (/ 1 a)) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* x a)) 1) a) x) (* (+ (* 1/2 (* x a)) 1) a) (+ (* 1/2 (* x a)) 1) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* x a)) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* 1/6 (* x a)) 1/2)) a) x) (* (* x x) (+ (* 1/6 (* x a)) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* x a) (* (* a a) x) (+ (* 1/6 (* x a)) 1/2) (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) (* (* x x) (+ (* (* 1/24 a) x) 1/6)))
3.0ms	a	@	inf	((/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 x) (/ 1 a)) x) (+ (* -1/2 x) (/ 1 a)) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* x a)) 1) a) x) (* (+ (* 1/2 (* x a)) 1) a) (+ (* 1/2 (* x a)) 1) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* x a)) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* 1/6 (* x a)) 1/2)) a) x) (* (* x x) (+ (* 1/6 (* x a)) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* x a) (* (* a a) x) (+ (* 1/6 (* x a)) 1/2) (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) (* (* x x) (+ (* (* 1/24 a) x) 1/6)))

simplify185.0ms (3%)

Memory

8.7MiB live, 191.8MiB allocated

Algorithm

1×	egg-herbie

Rules

17 460×	`lower-fma.f64`
17 460×	`lower-fma.f32`
8 236×	`lower-*.f64`
8 236×	`lower-*.f32`
2 308×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	435	6811
1	1506	6645
2	5135	6387
0	8342	5763

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 596

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

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

rewrite210.0ms (3.4%)

Memory

-27.7MiB live, 216.4MiB allocated

Rules

5 298×	`lower-fma.f32`
5 286×	`lower-fma.f64`
4 248×	`lower-*.f32`
4 218×	`lower-*.f64`
4 070×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	494
0	92	487
1	339	487
2	2024	479
0	8194	457

Stop Event

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

Counts

25 → 529

Calls

Call 1

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

Outputs
(.f64 (pow.f64 #s(approx (/ 1 (- (exp ( a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (- (exp ( a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp ( a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp ( a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))) #s(literal -1 binary64))
(pow.f64 (.f64 #s(approx (/ 1 (- (exp ( a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))) #s(literal -1 binary64))
(pow.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))))
(exp.f64 (.f64 (log.f64 #s(approx (/ 1 (- (exp ( a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))) #s(literal -1 binary64)))
(.f64 (neg.f64 #s(approx (/ 1 (- (exp ( a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))) #s(literal -1 binary64))
(.f64 #s(approx (/ 1 (- (exp ( a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp ( a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))) #s(literal -1 binary64))
(pow.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) #s(literal 1 binary64))
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))))
(/.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ 1 (- (exp ( a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal -1/2 binary64) x)) a)) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal -1/2 binary64) x)) a))))
(.f64 (pow.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) a))))
(.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal -1/2 binary64) x)) a))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a))) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) a))))
(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal -1/2 binary64) x)) a))))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)))) (/.f64 #s(literal 1 binary64) x))
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(.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))) #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))))) #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))))) (.f64 (.f64 a a) a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))) a) #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))))) a (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))) a))))))
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(.f64 (fma.f64 (.f64 (.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))) #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))))) #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))))) (.f64 (.f64 a a) a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))) a) #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))))) a) (.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))) a)))))
(.f64 (fma.f64 (.f64 (.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))) #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))))) #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))))) (.f64 (.f64 a a) a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))) a) #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))))) a (-.f64 #s(literal 1 binary64) (.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))) a)))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))) a #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))) a #s(literal 1 binary64))) #s(literal -1 binary64))
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(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x a)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x a)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal -1/2 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x a)))
(.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) a) (.f64 x x))
(.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) x) x) a)
(.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) (.f64 (.f64 x x) a))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) a))
(.f64 (.f64 x a) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) x))
(.f64 x (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) a) x))
(.f64 a (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) x) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) a) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) a) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) a) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) a) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) a) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) a)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) a) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a))) #s(literal 3 binary64)) (pow.f64 (.f64 a (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 a (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a))) (.f64 a (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a))) (-.f64 (.f64 (.f64 a (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 a (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (.f64 (.f64 a (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a))) (.f64 a (.f64 (.f64 x x) #s(literal 1/6 binary64)))))))
(/.f64 (.f64 a (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) x) x) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) a (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) a))
(fma.f64 a (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 a (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) a) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) a))
(+.f64 (.f64 a (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a))) (.f64 a (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal -1/6 binary64))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) x) #s(literal 1/6 binary64))))))
(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal -1/6 binary64))))
(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) x) #s(literal 1/6 binary64))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))
(.f64 x (.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) x))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x a))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (*.f64 #s(literal 1/24 binary64) a) x) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (*.f64 #s(literal 1/24 binary64) a) x) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal -1/6 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (*.f64 #s(literal 1/24 binary64) a) x) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (*.f64 #s(literal 1/24 binary64) a) x) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/216 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal -1/6 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) x) #s(literal 1/6 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 a a)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) x) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 a a) a)) (.f64 (*.f64 x x) x) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)) #s(literal 1/216 binary64)))))
(fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) a)) x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x)) a (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 x x) a) (.f64 #s(literal 1/24 binary64) x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) x) x) x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x a)))
(fma.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/24 binary64) a) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) x) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/24 binary64) a) x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x a)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x a)))
(fma.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 a (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x a) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 x (.f64 (.f64 #s(literal 1/24 binary64) a) x)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x a)))
(fma.f64 a (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x a)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

eval150.0ms (2.4%)

Memory: 24.4MiB live, 211.9MiB allocated
Compiler: Compiled 29 841 to 2 255 computations (92.4% saved)

prune65.0ms (1%)

Memory

-8.5MiB live, 118.2MiB allocated

Pruning

36 alts after pruning (27 fresh and 9 done)

	Pruned	Kept	Total
New	1 210	14	1 224
Fresh	3	13	16
Picked	2	3	5
Done	0	6	6
Total	1 215	36	1 251

Accuracy

100.0%

Counts

1 251 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) a))) x)))
	76.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)))) x)))
	48.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a))) (.f64 x (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) a))))))
	53.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) a)))) x)))
	74.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 #s(approx (+ (* -1/2 x) (/ 1 a)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) x #s(literal 1 binary64)) a)) x)))
	76.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)))))
	7.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
	50.1%	(-.f64 (pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	23.0%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	4.3%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
✓	21.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
	22.0%	(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ 1 (- (exp (* a x)) -1)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) a) #s(literal 1/48 binary64)) x (*.f64 #s(literal -1/4 binary64) a)) x #s(literal 1/2 binary64))))
	22.2%	(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ 1 (- (exp (* a x)) -1)) #s(literal 1/2 binary64)))
✓	99.9%	(expm1.f64 (*.f64 x a))
	67.3%	#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
✓	69.8%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64))) a x) a))
	69.0%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(approx (+ ( 1/6 (* x a)) 1/2) #s(literal 1/2 binary64))) a x) a))
	73.0%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 x a) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x) a))
✓	71.8%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
	20.8%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 #s(approx (+ (* 1/2 (* x a)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x a))) a) x))
	20.6%	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx ( (+ (* 1/2 (* x a)) 1) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
✓	72.1%	#s(approx (- (exp (* x a)) 1) (*.f64 x a))
	72.2%	#s(approx (- (exp (* a x)) 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 x a)))
	73.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
	72.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) x)) a #s(literal 1 binary64)) (.f64 x a)))
✓	72.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
	71.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x a))) a) x #s(literal 1 binary64)) (*.f64 x a)))
	70.9%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 x a) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) x))) a #s(literal 1 binary64)) (*.f64 x a)))
	67.6%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (* 1/6 x) a) 1/2) a) (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64))) x #s(literal 1 binary64)) (.f64 x a)))
	68.4%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))) a #s(literal 1 binary64)) x) a))
	20.7%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) a))) x) a))
	20.4%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) a) #s(literal 1/24 binary64)) x) x)) (*.f64 x a)))
	21.0%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 x a) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) x)) a)) (.f64 x a)))
	21.8%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 x a) a) #s(literal 1/6 binary64)) x))) (*.f64 x a)))
✓	21.5%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (*.f64 x a)))

Compiler

Compiled 1 527 to 564 computations (63.1% saved)

regimes71.0ms (1.1%)

Memory

7.2MiB live, 83.0MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx ( (+ (* 1/2 (* x a)) 1) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 #s(approx (+ (* 1/2 (* x a)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x a))) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(approx (+ ( 1/6 (* x a)) 1/2) #s(literal 1/2 binary64))) a x) a))
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ 1 (- (exp (* a x)) -1)) #s(literal 1/2 binary64)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a))))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 x a) a) #s(literal 1/6 binary64)) x))) (*.f64 x a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)))))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (* 1/6 x) a) 1/2) a) (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64))) x #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x a))) a) x #s(literal 1 binary64)) (*.f64 x a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (- (exp (* a x)) 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 (* a x)) 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 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 x a) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64))) a x) a))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 (.f64 a a) x) x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/24 binary64)) x) x) a)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) a) #s(literal 1/24 binary64)) x) x)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 x a) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) x)) a)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) a))) x) a))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))) a #s(literal 1 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 x a) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) x))) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 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 x a)))
(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 #s(approx (+ (* -1/2 x) (/ 1 a)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) x #s(literal 1 binary64)) a)) x)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) x)) a #s(literal 1 binary64)) (.f64 x a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ 1 (- (exp (* a x)) -1)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) a) #s(literal 1/48 binary64)) x (*.f64 #s(literal -1/4 binary64) a)) x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)))) x)))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) x) x) (.f64 a x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 a x)))))) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a))) (.f64 x (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) a))))))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (fma.f64 (.f64 (fma.f64 (/.f64 a (.f64 x x)) #s(literal 1/2 binary64) (.f64 (.f64 a a) (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x)))) x) (.f64 x x) #s(literal 1 binary64))) (.f64 x a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) a))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) a)))) x)))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (expm1.f64 (fma.f64 x (+.f64 a a) (.f64 a (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) #s(literal 1 binary64)))

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

Calls

5 calls:

16.0ms	a
14.0ms	x
14.0ms	(*.f64 a x)
13.0ms	(exp.f64 (*.f64 a x))
11.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`x`
99.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.9%	1	`(exp.f64 (*.f64 a x))`
99.9%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes98.0ms (1.6%)

Memory

-11.5MiB live, 67.0MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx ( (+ (* 1/2 (* x a)) 1) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 #s(approx (+ (* 1/2 (* x a)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x a))) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(approx (+ ( 1/6 (* x a)) 1/2) #s(literal 1/2 binary64))) a x) a))
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ 1 (- (exp (* a x)) -1)) #s(literal 1/2 binary64)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a))))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x))) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) #s(approx (* (* (* (* x x) (+ (* (* 1/24 a) x) 1/6)) a) a) (.f64 (.f64 (.f64 (.f64 x a) a) #s(literal 1/6 binary64)) x))) (*.f64 x a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)))))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (* 1/6 x) a) 1/2) a) (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64))) x #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x a))) a) x #s(literal 1 binary64)) (*.f64 x a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (- (exp (* a x)) 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 (* a x)) 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 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 x a) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64))) a x) a))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 (.f64 a a) x) x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/24 binary64)) x) x) a)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) x) a) #s(literal 1/24 binary64)) x) x)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 x a) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) x)) a)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 #s(approx (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) a))) x) a))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)))) a #s(literal 1 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 x a) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) x))) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 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 x a)))
(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 #s(approx (+ (* -1/2 x) (/ 1 a)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) x #s(literal 1 binary64)) a)) x)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) x)) a #s(literal 1 binary64)) (.f64 x a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ 1 (- (exp (* a x)) -1)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) x) a) #s(literal 1/48 binary64)) x (*.f64 #s(literal -1/4 binary64) a)) x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)))) x)))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) x) x) (.f64 a x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) x) x (-.f64 #s(literal 1 binary64) (.f64 a x)))))) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a))) (.f64 x (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) a))))))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (fma.f64 (.f64 (fma.f64 (/.f64 a (.f64 x x)) #s(literal 1/2 binary64) (.f64 (.f64 a a) (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x)))) x) (.f64 x x) #s(literal 1 binary64))) (.f64 x a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) a))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) a)))) x)))

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

Calls

5 calls:

43.0ms	(exp.f64 (*.f64 a x))
16.0ms	a
13.0ms	x
13.0ms	(*.f64 a x)
11.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
76.2%	1	`a`
76.2%	1	`x`
76.2%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
76.2%	1	`(exp.f64 (*.f64 a x))`
76.2%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes28.0ms (0.5%)

Memory

7.2MiB live, 43.7MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

5.0ms	a
5.0ms	x
5.0ms	(*.f64 a x)
4.0ms	(exp.f64 (*.f64 a x))
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
72.1%	1	`a`
72.1%	1	`x`
76.7%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
76.7%	2	`(exp.f64 (*.f64 a x))`
76.7%	2	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes8.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(*.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
75.9%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
75.9%	2	`(exp.f64 (*.f64 a x))`
75.9%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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
72.1%	1	`x`
72.1%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
72.1%	1	`(exp.f64 (*.f64 a x))`
72.1%	1	`(*.f64 a x)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0.1%)

Memory

-23.5MiB live, 13.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	x
1.0ms	a
1.0ms	(*.f64 a x)
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
21.0%	1	`a`
21.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
21.0%	1	`(exp.f64 (*.f64 a x))`
21.0%	1	`(*.f64 a x)`
21.0%	1	`x`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-85.03087451437236	-9.836362954672293e-7

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-85.03087451437236	-9.836362954672293e-7

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify6.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`unsub-neg_binary64`
10×	`*-commutative_binary64`
10×	`neg-mul-1_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	133
1	48	133
2	55	133
3	61	133
4	69	133
5	80	133

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)))))
(if (<=.f64 (.f64 a x) #s(literal -50 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp ( a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64)))) #s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)))
(if (<=.f64 (.f64 a x) #s(literal -50 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp ( a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(expm1.f64 (*.f64 x a))
(expm1.f64 (*.f64 a x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1/2 binary64)))))
(if (<=.f64 (.f64 a x) #s(literal -50 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp ( a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64)))) #s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)))
(if (<=.f64 (.f64 a x) #s(literal -50 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp ( a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64)))) #s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)))
(if (<=.f64 (.f64 a x) #s(literal -50 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp ( a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))
(if (<=.f64 (.f64 a x) #s(literal -50 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp ( a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

soundness1.4s (22%)

Memory

-0.0MiB live, 630.2MiB allocated

Rules

20 954×	`lower-fma.f64`
20 954×	`lower-fma.f32`
17 460×	`lower-fma.f64`
17 460×	`lower-fma.f32`
12 846×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	432
1	195	432
2	526	424
3	1045	424
4	1672	424
5	1873	424
6	1900	424
7	1920	424
8	1934	424
9	1937	424
10	1937	424
11	2619	420
12	3094	420
13	4061	420
14	4062	420
15	4062	420
16	4190	420
17	4190	420
18	6071	416
19	6279	416
20	6321	416
21	6335	416
22	6335	416
23	6511	416
24	6849	416
25	6849	416
26	7408	416
0	7408	360
0	317	3586
1	1038	3548
2	3340	3462
0	8272	3054
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11
0	553	5640
1	1864	5478
2	6547	5446
0	8343	4876
0	29	182
0	51	180
1	216	180
2	1479	180
0	8370	180
0	435	6811
1	1506	6645
2	5135	6387
0	8342	5763

Stop Event

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

Compiler

Compiled 245 to 121 computations (50.6% saved)

preprocess117.0ms (1.9%)

Memory: 24.0MiB live, 142.5MiB allocated
Remove: (sort a x)
Compiler: Compiled 200 to 90 computations (55% 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%)

analyze20.0ms (0.3%)

sample570.0ms (9.2%)

explain290.0ms (4.7%)

preprocess20.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize21.0ms (0.3%)

series5.0ms (0.1%)

simplify202.0ms (3.2%)

rewrite81.0ms (1.3%)

eval20.0ms (0.3%)

prune59.0ms (0.9%)

simplify199.0ms (3.2%)

localize96.0ms (1.5%)

series31.0ms (0.5%)

simplify212.0ms (3.4%)

rewrite231.0ms (3.7%)

eval188.0ms (3%)

prune151.0ms (2.4%)

simplify180.0ms (2.9%)

localize246.0ms (4%)

series56.0ms (0.9%)

simplify160.0ms (2.6%)

rewrite272.0ms (4.4%)

eval242.0ms (3.9%)

prune64.0ms (1%)

simplify76.0ms (1.2%)

localize147.0ms (2.4%)

series46.0ms (0.7%)

simplify185.0ms (3%)

rewrite210.0ms (3.4%)

eval150.0ms (2.4%)

prune65.0ms (1%)

regimes71.0ms (1.1%)

regimes98.0ms (1.6%)

regimes28.0ms (0.5%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness1.4s (22%)

preprocess117.0ms (1.9%)

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