Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze29.0ms (0.6%)

Memory

-19.4MiB live, 23.5MiB allocated; 12ms collecting garbage

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)

sample614.0ms (13.5%)

Memory

28.8MiB live, 553.6MiB allocated; 104ms collecting garbage

Samples

380.0ms	8 256×	0	valid
14.0ms	323×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-mult: 87.0ms (48.7% of total)

ival-expm1: 57.0ms (31.9% of total)

ival->: 21.0ms (11.7% of total)

exact: 7.0ms (3.9% of total)

adjust: 3.0ms (1.7% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain93.0ms (2.1%)

Memory

-24.5MiB live, 65.9MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
131	1	(-3.082722215926866e-306 2.6253882104633066e+303)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	0	-	-	`a`
0	0	-	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 a x)`
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	132	0

Confusion

	Predicted +	Predicted -
+	131	0
-	1	124

Precision

0.9924242424242424

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	1	0	124

Precision?

0.9924242424242424

Recall?

1.0

Freqs

test

number	freq
0	124
1	132

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

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

ival-exp: 4.0ms (33.9% of total)

ival-mult: 4.0ms (33.9% of total)

ival-expm1: 3.0ms (25.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess202.0ms (4.4%)

Memory

6.8MiB live, 192.7MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	39	36
2	76	36
3	214	36
4	966	36
0	6	6
0	9	6
1	17	6
2	35	6
3	84	6
4	297	6
5	2733	6
0	8456	4

Stop Event

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

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 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.3%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify211.0ms (4.6%)

Memory

17.6MiB live, 167.8MiB allocated; 52ms collecting garbage

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	35	16
3	84	16
4	297	16
5	2733	16
0	8456	14

Stop Event

1×	iter limit
1×	node limit
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))
(pow.f64 (exp.f64 x) a)
(*.f64 a x)
(*.f64 x a)
a
x
#s(literal 1 binary64)

localize17.0ms (0.4%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a x)
accuracy	0.006191259768442017	(exp.f64 (*.f64 a x))
accuracy	28.622914285999805	(-.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 (34.4% of total)

ival-mult: 2.0ms (34.4% of total)

ival-expm1: 2.0ms (34.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Counts

3 → 16

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))

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	x	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
0.0ms	a	@	inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
0.0ms	a	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))

simplify250.0ms (5.5%)

Memory

-5.7MiB live, 178.2MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	299
1	252	299
2	911	291
3	3272	291
4	6001	291
0	8028	250

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))

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

rewrite37.0ms (0.8%)

Memory

2.5MiB live, 48.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	31	13
0	212	11

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 29

Calls

Call 1

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

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

eval5.0ms (0.1%)

Memory: 9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 570 to 145 computations (74.6% saved)

prune16.0ms (0.3%)

Memory

-35.2MiB live, 21.6MiB allocated; 8ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	33	8	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	8	42

Accuracy

100.0%

Counts

42 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.5%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))
	24.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	25.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	22.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
▶	64.6%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
	62.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
	68.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 216 to 160 computations (25.9% saved)

simplify143.0ms (3.2%)

Memory

35.7MiB live, 122.6MiB allocated; 14ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x a)
cost-diff	0	(.f64 (.f64 x a) #s(literal 2 binary64))
cost-diff	0	(expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))
cost-diff	0	(.f64 (.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	170
0	49	168
1	102	168
2	313	168
3	1289	168
4	5403	168
0	8096	168

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

localize283.0ms (6.2%)

Memory

-30.2MiB live, 204.9MiB allocated; 25ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))
accuracy	0.01171875	(-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
accuracy	0.015625	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))
accuracy	5.2623128185406856	(pow.f64 (exp.f64 x) a)
accuracy	0.046875	(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.9593410353425513	(.f64 (.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy	1.2372396997879196	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x)
accuracy	13.123398682937394	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
accuracy	0.0	(fma.f64 x a #s(literal 1 binary64))
accuracy	13.63237544306701	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
accuracy	19.41151581261739	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	13.993657446544585	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	19.41151581261739	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x a)
accuracy	0.0078125	(expm1.f64 (*.f64 x a))

Samples

140.0ms	67×	5	exit
68.0ms	65×	1	valid
50.0ms	124×	0	valid

Compiler

Compiled 155 to 28 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

ival-pow: 97.0ms (47.8% of total)

adjust: 29.0ms (14.3% of total)

ival-add: 27.0ms (13.3% of total)

ival-mult: 18.0ms (8.9% of total)

ival-exp: 10.0ms (4.9% of total)

ival-expm1: 7.0ms (3.5% of total)

ival-div: 6.0ms (3% of total)

const: 4.0ms (2% of total)

ival-sub: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series116.0ms (2.5%)

Memory

-6.7MiB live, 91.0MiB allocated; 93ms collecting garbage

Counts

17 → 104

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

Outputs
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 1))
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 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 (- (* 2/3 (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))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 (* a x)))))
#s(approx (pow (exp x) a) #s(hole binary64 1))
#s(approx (pow (exp x) a) #s(hole binary64 (+ 1 (* a x))))
#s(approx (pow (exp x) a) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (pow (exp x) a) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 2))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* 1/6 (* a (pow x 3)))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (* 1/6 (* a x))))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))))
#s(approx (pow (exp x) a) #s(hole binary64 (exp (* a x))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 1/6 (* a x))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 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 (- (* 2/3 (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))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))))
#s(approx (pow (exp x) a) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (pow (exp x) a) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))))

Calls

6 calls:

Time	Variable		Point	Expression
77.0ms	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) (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (* (* x x) (+ (* (* x a) 1/6) 1/2)) (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (+ (* (* x a) 1/6) 1/2) (pow (exp x) a) (- (pow (exp x) a) -1))
25.0ms	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) (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (* (* x x) (+ (* (* x a) 1/6) 1/2)) (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (+ (* (* x a) 1/6) 1/2) (pow (exp x) a) (- (pow (exp x) a) -1))
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) (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (* (* x x) (+ (* (* x a) 1/6) 1/2)) (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (+ (* (* x a) 1/6) 1/2) (pow (exp x) a) (- (pow (exp x) a) -1))
3.0ms	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) (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (* (* x x) (+ (* (* x a) 1/6) 1/2)) (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (+ (* (* x a) 1/6) 1/2) (pow (exp x) a) (- (pow (exp x) a) -1))
3.0ms	x	@	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) (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (* (* x x) (+ (* (* x a) 1/6) 1/2)) (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (+ (* (* x a) 1/6) 1/2) (pow (exp x) a) (- (pow (exp x) a) -1))

simplify155.0ms (3.4%)

Memory

21.5MiB live, 112.2MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	427	2659
1	1305	2505
2	5208	2504
0	8167	2219

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 104

Calls

Call 1

Inputs
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 1))
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 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 (- (* 2/3 (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))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 (* a x)))))
#s(approx (pow (exp x) a) #s(hole binary64 1))
#s(approx (pow (exp x) a) #s(hole binary64 (+ 1 (* a x))))
#s(approx (pow (exp x) a) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (pow (exp x) a) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 2))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* 1/6 (* a (pow x 3)))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (* 1/6 (* a x))))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))))
#s(approx (pow (exp x) a) #s(hole binary64 (exp (* a x))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 1/6 (* a x))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 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 (- (* 2/3 (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))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))))
#s(approx (pow (exp x) a) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (pow (exp x) a) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))))

Outputs
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) a) x) a))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (* x a) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) a) x) a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (pow (exp x) a) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (pow (exp x) a) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (pow (exp x) a) (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)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (pow (exp x) a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) a) x) a #s(literal 1 binary64)))
#s(approx (+ (* x a) 1) #s(hole binary64 1))
#s(approx (+ (* x a) 1) #s(literal 1 binary64))
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (*.f64 a x))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) a) x) a))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) x)
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) a) x))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (*.f64 a x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x)) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 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 (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x)))) a (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x))) a (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 #s(literal 2 binary64) (.f64 a x)))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) x a) #s(literal 2 binary64)) x))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) a) (.f64 (.f64 #s(literal 2 binary64) x) x)) a (*.f64 #s(literal 2 binary64) x)) a))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) a))) a (.f64 (.f64 #s(literal 2 binary64) x) x)) a (.f64 #s(literal 2 binary64) x)) a))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#s(approx (* (* x a) 2) (.f64 #s(literal 2 binary64) (.f64 a x)))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 (* a x)))))
#s(approx (+ (* (* x a) 1/6) 1/2) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))
#s(approx (pow (exp x) a) #s(hole binary64 1))
#s(approx (pow (exp x) a) #s(literal 1 binary64))
#s(approx (pow (exp x) a) #s(hole binary64 (+ 1 (* a x))))
#s(approx (pow (exp x) a) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (pow (exp x) a) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (pow (exp x) a) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (pow (exp x) a) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (pow (exp x) a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) a) x) a #s(literal 1 binary64)))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 2))
#s(approx (- (pow (exp x) a) -1) #s(literal 2 binary64))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (pow (exp x) a) -1) (fma.f64 a x #s(literal 2 binary64)))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (pow (exp x) a) -1) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 2 binary64)))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (- (pow (exp x) a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) a) x) a #s(literal 2 binary64)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (* x a)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (* x a)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (pow (exp x) a) (pow.f64 (exp.f64 a) x))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) 1) (*.f64 a x))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (.f64 (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 a #s(literal 3 binary64))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) a) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a) a))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a)) (*.f64 a a)))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* 1/6 (* a (pow x 3)))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64)))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) (.f64 (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#s(approx (- (exp (* (* x a) 2)) 1) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x))))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (* 1/6 (* a x))))
#s(approx (+ (* (* x a) 1/6) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 a x)))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))))
#s(approx (+ (* (* x a) 1/6) 1/2) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))
#s(approx (pow (exp x) a) #s(hole binary64 (exp (* a x))))
#s(approx (pow (exp x) a) (pow.f64 (exp.f64 a) x))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (- (pow (exp x) a) -1) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (.f64 (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 a #s(literal 3 binary64))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) (neg.f64 a)))) (*.f64 a a)))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) (.f64 (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))))
#s(approx (+ (* (* x a) 1/6) 1/2) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) a) x) a))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) a) x) a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (pow (exp x) a) (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)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (pow (exp x) a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) a) x) a #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) a) x) a))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) a) x))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 1/6 (* a x))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) a)) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 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 (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) a)) (.f64 #s(literal 1/2 binary64) a))) x (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) a))) x (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) x a) #s(literal 2 binary64)) x))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 4/3 binary64))) x (*.f64 #s(literal 2 binary64) a)) x))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 2/3 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 4/3 binary64))) x (.f64 (.f64 #s(literal 2 binary64) a) a)) x (.f64 #s(literal 2 binary64) a)) x))
#s(approx (pow (exp x) a) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (pow (exp x) a) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (pow (exp x) a) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (pow (exp x) a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) a) x) a #s(literal 1 binary64)))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (pow (exp x) a) -1) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 2 binary64)))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (- (pow (exp x) a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) a) x) a #s(literal 2 binary64)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (.f64 (fma.f64 (/.f64 (.f64 a a) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a (/.f64 a x)) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (.f64 (*.f64 a a) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (/.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* x a) 1/6) 1/2) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (.f64 (fma.f64 (/.f64 (.f64 a a) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a (/.f64 a x)) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (.f64 (*.f64 a a) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (/.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))))
#s(approx (* (* x x) (+ (* (* x a) 1/6) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (* (* x a) 1/6) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (* x a) 1/6) 1/2) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))

rewrite81.0ms (1.8%)

Memory

-8.3MiB live, 41.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	145
0	49	134
1	210	134
0	1550	134

Stop Event

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

Counts

17 → 332

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

Outputs
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (expm1.f64 (.f64 a x)) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))) (expm1.f64 (.f64 a x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (.f64 x (/.f64 a #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))) (.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) a))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) a)))
(/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(neg.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))))
(fma.f64 (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
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(fma.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (pow.f64 (exp.f64 x) a)) (fabs.f64 (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (*.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)) (.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) x #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64)))
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (-.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) a)
(.f64 (.f64 #s(literal 2 binary64) a) x)
(.f64 #s(literal 2 binary64) (.f64 a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(.f64 a (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 #s(literal 2 binary64) a))
(fma.f64 (.f64 (.f64 a x) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 a x))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (.f64 a x))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 a x))
(fma.f64 a (.f64 x #s(literal 1 binary64)) (.f64 a x))
(fma.f64 a x (*.f64 a x))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 a x))
(fma.f64 x a (*.f64 a x))
(+.f64 (.f64 a x) (.f64 a x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 a x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 a x)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) (.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 a x)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 a x)) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/6 binary64) a)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x)))
(.f64 (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 1 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 (.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))
(*.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (/.f64 a #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 a) x)
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (exp.f64 x) (+.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (exp.f64 x) a)
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 a x)) (cosh.f64 (.f64 a x))) (.f64 (sinh.f64 (.f64 a x)) (sinh.f64 (.f64 a x)))) (-.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (.f64 a x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 a x)) (cosh.f64 (.f64 a x)) (-.f64 (.f64 (sinh.f64 (.f64 a x)) (sinh.f64 (.f64 a x))) (.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (.f64 a x))))))
(+.f64 (sinh.f64 (.f64 a x)) (cosh.f64 (.f64 a x)))
(+.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (.f64 a x)))
(exp.f64 (fma.f64 a x #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(exp.f64 (*.f64 a x))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x)) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal -1 binary64)) (expm1.f64 (.f64 a x))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64))) (expm1.f64 (.f64 a x))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x)) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))) (neg.f64 (expm1.f64 (*.f64 a x))))
(/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (expm1.f64 (*.f64 a x)))
(fma.f64 (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (*.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 1 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 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (expm1.f64 (.f64 a x)) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (expm1.f64 (.f64 a x)) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (expm1.f64 (.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x))))
(-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (.f64 a x)) (-.f64 (sinh.f64 (.f64 a x)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 a x)) (+.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))

eval80.0ms (1.8%)

Memory: 10.7MiB live, 55.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 8 992 to 1 386 computations (84.6% saved)

prune16.0ms (0.4%)

Memory

-12.6MiB live, 33.8MiB allocated; 4ms collecting garbage

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	364	8	372
Fresh	3	0	3
Picked	2	3	5
Done	0	0	0
Total	369	11	380

Accuracy

100.0%

Counts

380 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
▶	72.7%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) #s(approx (- (pow (exp x) a) -1) #s(literal 2 binary64)))
	24.4%	(-.f64 #s(approx (pow (exp x) a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) a) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	25.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	21.5%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
▶	21.9%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
✓	22.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	68.7%	#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (*.f64 a x))
	63.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x a) 1/6) 1/2) #s(literal 1/2 binary64))) a x) a))
▶	70.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) x) a))

Compiler

Compiled 345 to 253 computations (26.7% saved)

simplify125.0ms (2.8%)

Memory

33.7MiB live, 127.4MiB allocated; 14ms collecting garbage

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	259
0	64	259
1	116	259
2	276	259
3	978	259
4	4974	259
0	8273	254

Stop Event

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

Calls

Call 1

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

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

localize299.0ms (6.6%)

Memory

33.1MiB live, 291.3MiB allocated; 60ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f64 (.f64 x a) #s(literal 2 binary64))
accuracy	0.0078125	(expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))
accuracy	0.015625	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) #s(approx (- (pow (exp x) a) -1) #s(literal 2 binary64)))
accuracy	11.853329791722674	#s(approx (- (pow (exp x) a) -1) #s(literal 2 binary64))
accuracy	0.01953125	(.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) x) a)
accuracy	0.03515625	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x)
accuracy	0.046875	(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
accuracy	13.123398682937394	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) x) a))
accuracy	0.01171875	(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))
accuracy	0.09765625	(*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))
accuracy	13.63237544306701	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))))
accuracy	19.41151581261739	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 a x)
accuracy	13.739912716974242	#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (*.f64 a x))
accuracy	0.00390625	(.f64 (.f64 x a) #s(literal 2 binary64))
accuracy	0.0078125	(expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))
accuracy	0.01171875	(-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
accuracy	0.015625	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))

Samples

191.0ms	67×	5	exit
51.0ms	65×	1	valid
32.0ms	124×	0	valid

Compiler

Compiled 211 to 33 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 224.0ms

ival-pow: 106.0ms (47.2% of total)

adjust: 51.0ms (22.7% of total)

ival-mult: 19.0ms (8.5% of total)

ival-add: 12.0ms (5.3% of total)

ival-exp: 10.0ms (4.5% of total)

ival-div: 8.0ms (3.6% of total)

ival-sub: 7.0ms (3.1% of total)

ival-expm1: 5.0ms (2.2% of total)

const: 4.0ms (1.8% of total)

ival-neg: 2.0ms (0.9% of total)

exact: 1.0ms (0.4% of total)

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

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

series30.0ms (0.7%)

Memory

-11.4MiB live, 33.7MiB allocated; 4ms collecting garbage

Counts

19 → 117

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 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 (- (* 2/3 (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))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 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 (- (* 2/3 (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))))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 1))
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 1))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 x))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 2))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (/ -1 a)))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (/ (- (* -1 (* a x)) 1) a)))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 (* a x)))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 2))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* a x)))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (* -1 (+ x (/ 1 a)))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* 1/6 (* a x))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* 1/6 (* a (pow x 2)))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 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 (- (* 2/3 (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))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 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 (- (* 2/3 (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))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (- (* -1 x) (/ 1 a))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/6 (* a x))))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (* -1 (* x (+ 1 (/ 1 (* a x)))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (- (exp (* a x)) -1) (- (neg x) (/ 1 a)) (+ (* 1/6 (* a x)) 1/2) (* (+ (* 1/6 (* a x)) 1/2) x) (- (pow (exp x) a) -1))
8.0ms	x	@	inf	((/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (- (exp (* a x)) -1) (- (neg x) (/ 1 a)) (+ (* 1/6 (* a x)) 1/2) (* (+ (* 1/6 (* a x)) 1/2) x) (- (pow (exp x) a) -1))
5.0ms	x	@	0	((/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (- (exp (* a x)) -1) (- (neg x) (/ 1 a)) (+ (* 1/6 (* a x)) 1/2) (* (+ (* 1/6 (* a x)) 1/2) x) (- (pow (exp x) a) -1))
2.0ms	a	@	-inf	((/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (- (exp (* a x)) -1) (- (neg x) (/ 1 a)) (+ (* 1/6 (* a x)) 1/2) (* (+ (* 1/6 (* a x)) 1/2) x) (- (pow (exp x) a) -1))
2.0ms	a	@	inf	((/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (- (exp (* a x)) -1) (- (neg x) (/ 1 a)) (+ (* 1/6 (* a x)) 1/2) (* (+ (* 1/6 (* a x)) 1/2) x) (- (pow (exp x) a) -1))

simplify181.0ms (4%)

Memory

3.4MiB live, 98.2MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	458	3100
1	1355	2846
2	5234	2846
0	8127	2550

Stop Event

1×	iter limit
1×	node limit

Counts

117 → 117

Calls

Call 1

Inputs
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 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 (- (* 2/3 (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))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 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 (- (* 2/3 (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))))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 1))
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 1))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 x))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 2))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (/ -1 a)))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (/ (- (* -1 (* a x)) 1) a)))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 (* a x)))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 2))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* a x)))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (* -1 (+ x (/ 1 a)))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* 1/6 (* a x))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* 1/6 (* a (pow x 2)))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 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 (- (* 2/3 (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))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 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 (- (* 2/3 (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))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (- (* -1 x) (/ 1 a))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/6 (* a x))))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (* -1 (* x (+ 1 (/ 1 (* a x)))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))))

Outputs
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (*.f64 a x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)) a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 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 (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)))) a (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))) a (.f64 #s(literal 1/2 binary64) (.f64 x x))) a x) a))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (.f64 a x) #s(literal 2 binary64)))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) x a) #s(literal 2 binary64)) x))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 4/3 binary64) (.f64 (.f64 #s(literal 2 binary64) x) x)) a (*.f64 #s(literal 2 binary64) x)) a))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 2/3 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64)))) a (.f64 (.f64 #s(literal 2 binary64) x) x)) a (.f64 #s(literal 2 binary64) x)) a))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#s(approx (* (* x a) 2) (.f64 (.f64 a x) #s(literal 2 binary64)))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (* a x) (*.f64 a x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (*.f64 a x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)) a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 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 (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)))) a (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))) a (.f64 #s(literal 1/2 binary64) (.f64 x x))) a x) a))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx (* a x) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (.f64 a x) x) a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) a) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#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)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (*.f64 a x) x) a #s(literal 1 binary64)))
#s(approx (+ (* x a) 1) #s(hole binary64 1))
#s(approx (+ (* x a) 1) #s(literal 1 binary64))
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 1))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(literal 1 binary64))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (*.f64 a x))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (.f64 a x) x) a))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 x))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) x)
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (*.f64 a x) x))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 2))
#s(approx (- (exp (* a x)) -1) #s(literal 2 binary64))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* a x)) -1) (fma.f64 a x #s(literal 2 binary64)))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* a x)) -1) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 2 binary64)))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (- (exp (* a x)) -1) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (*.f64 a x) x) a #s(literal 2 binary64)))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (/ -1 a)))
#s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (/ (- (* -1 (* a x)) 1) a)))
#s(approx (- (neg x) (/ 1 a)) (/.f64 (fma.f64 (neg.f64 x) a #s(literal -1 binary64)) a))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 (* a x)))))
#s(approx (+ (* 1/6 (* a x)) 1/2) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 2))
#s(approx (- (exp (* a x)) -1) #s(literal 2 binary64))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* a x)) -1) (fma.f64 a x #s(literal 2 binary64)))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* a x)) -1) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 2 binary64)))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (- (exp (* a x)) -1) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (*.f64 a x) x) a #s(literal 2 binary64)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#s(approx (- (exp (* (* x a) 2)) 1) (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (exp (* a x)) (pow.f64 (exp.f64 x) a))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) 1) (*.f64 a x))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* a x)))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) (*.f64 a x))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (.f64 (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 a #s(literal 3 binary64))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) a) #s(literal 1/6 binary64)))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) a) a))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) (*.f64 a a)))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (- (exp (* a x)) -1) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) (/ 1 a)) (neg.f64 x))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (* -1 (+ x (/ 1 a)))))
#s(approx (- (neg x) (/ 1 a)) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x)))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* 1/6 (* a x))))
#s(approx (+ (* 1/6 (* a x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 a x)))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* 1/6 (* a (pow x 2)))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 a x)) x))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) (.f64 (fma.f64 (/.f64 x a) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)) a))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (- (exp (* a x)) -1) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x)) (neg.f64 a)))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x)) (neg.f64 a)))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (.f64 (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 a #s(literal 3 binary64))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) (*.f64 a a)))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) (.f64 (fma.f64 (/.f64 x a) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)) a))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) a)) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 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 (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) a)))) x (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) a))) x (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) x a) #s(literal 2 binary64)) x))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 4/3 binary64) (.f64 (.f64 #s(literal 2 binary64) a) a)) x (*.f64 #s(literal 2 binary64) a)) x))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 2/3 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 4/3 binary64))) x (.f64 (.f64 #s(literal 2 binary64) a) a)) x (.f64 #s(literal 2 binary64) a)) x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) a)) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 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 (- (* 2/3 (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))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* a x)) -1)) (.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) a)))) x (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5/12 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) a))) x (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) 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 (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (.f64 a x) x) a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#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)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (*.f64 a x) x) a #s(literal 1 binary64)))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (.f64 a x) x) a))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (*.f64 a x) x))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* a x)) -1) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 2 binary64)))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (- (exp (* a x)) -1) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (*.f64 a x) x) a #s(literal 2 binary64)))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (- (* -1 x) (/ 1 a))))
#s(approx (- (neg x) (/ 1 a)) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x)))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/6 (* a x))))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* a x)) -1) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 2 binary64)))
#s(approx (- (pow (exp x) a) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (- (exp (* a x)) -1) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (*.f64 a x) x) a #s(literal 2 binary64)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (.f64 (fma.f64 (/.f64 (.f64 a a) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a (/.f64 a x)) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (.f64 (*.f64 a a) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (/.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (* -1 (* x (+ 1 (/ 1 (* a x)))))))
#s(approx (- (neg x) (/ 1 a)) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x)))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (+ (* x a) 1) (*.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) (*.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (.f64 (fma.f64 (/.f64 (.f64 a a) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a (/.f64 a x)) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (.f64 (*.f64 a a) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a (/.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))

rewrite66.0ms (1.4%)

Memory

2.6MiB live, 47.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	212
0	64	212
1	242	198
0	1581	189

Stop Event

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

Counts

19 → 246

Calls

Call 1

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

Outputs
(.f64 (/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a)) (-.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (expm1.f64 (.f64 a x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x))))
(.f64 (/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a)) (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a))) (expm1.f64 (.f64 a x)))
(.f64 (+.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (.f64 x (/.f64 a #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))) (.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a)))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) a) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) a) #s(literal 3 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 4 binary64))) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (exp.f64 a) x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a))) (neg.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a))) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a)) (neg.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(fma.f64 (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (*.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 1 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 (neg.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (fma.f64 a x #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(+.f64 (cosh.f64 (.f64 a x)) (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (.f64 a x)) (+.f64 (sinh.f64 (.f64 a x)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(.f64 (expm1.f64 (.f64 a x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) (expm1.f64 (.f64 a x)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 4 binary64)))))
(/.f64 (expm1.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) a) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) a) #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 4 binary64))))
(fma.f64 (.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 (exp.f64 a) x) (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 (fabs.f64 (pow.f64 (exp.f64 a) x)) (fabs.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (*.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (pow.f64 (exp.f64 a) x)) (neg.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) x #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 4 binary64)) (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 4 binary64)))))
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1 binary64))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) x) a)) (-.f64 (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) x) a)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) a)
(.f64 (.f64 #s(literal 2 binary64) a) x)
(.f64 (.f64 a x) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 #s(literal 2 binary64) a))
(fma.f64 (.f64 (.f64 a x) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 a x))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (.f64 a x))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 a x))
(fma.f64 a (.f64 x #s(literal 1 binary64)) (.f64 a x))
(fma.f64 a x (*.f64 a x))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 a x))
(fma.f64 x a (*.f64 a x))
(+.f64 (.f64 a x) (.f64 a x))
(.f64 (.f64 (*.f64 a x) #s(literal -1 binary64)) #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)
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (*.f64 a x))
(.f64 (.f64 (*.f64 a x) #s(literal -1 binary64)) #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)
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (.f64 (-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64))) (neg.f64 a)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* x a) 1) (*.f64 (-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64))) (neg.f64 a)))) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a)))) (neg.f64 (neg.f64 #s(approx (- (pow (exp x) a) -1) #s(literal 2 binary64)))))
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(/.f64 (expm1.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) a) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) #s(literal -1 binary64)) #s(approx (- (pow (exp x) a) -1) #s(literal 2 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) a) #s(literal 3 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 4 binary64))) #s(approx (- (pow (exp x) a) -1) #s(literal 2 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a))) (neg.f64 #s(approx (- (pow (exp x) a) -1) #s(literal 2 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a)) #s(approx (- (pow (exp x) a) -1) #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a))) #s(approx (- (pow (exp x) a) -1) #s(literal 2 binary64))))
(neg.f64 (/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a)) (neg.f64 #s(approx (- (pow (exp x) a) -1) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)) #s(approx (- (pow (exp x) a) -1) #s(literal 2 binary64))) (pow.f64 #s(approx (- (pow (exp x) a) -1) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x))) (.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (expm1.f64 (.f64 a x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (expm1.f64 (.f64 a x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) a) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (.f64 a x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (expm1.f64 (.f64 a x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))))
(/.f64 (expm1.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) a) #s(literal 3 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 4 binary64))) (expm1.f64 (.f64 a x))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a))) (neg.f64 (expm1.f64 (*.f64 a x))))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a)) (expm1.f64 (*.f64 a x)))
(fma.f64 (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (*.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 1 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 (neg.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (expm1.f64 (.f64 a x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (expm1.f64 (.f64 a x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 a x)) (expm1.f64 (.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(+.f64 (cosh.f64 (.f64 a x)) (-.f64 (sinh.f64 (.f64 a x)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 a x)) (+.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 a #s(literal -3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64))) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 a #s(literal -3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (/.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))))
(-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 a x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 a x)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) a)) x))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 a x)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 a x)) #s(literal 1/6 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x)))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x)
(.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal -1/4 binary64)) x) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 a x)) x))
(fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 a x))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) x) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) x))
(+.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a x))))
#s(approx (- (pow (exp x) a) -1) #s(literal 2 binary64))

eval41.0ms (0.9%)

Memory: 5.2MiB live, 50.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 9 501 to 1 238 computations (87% saved)

prune24.0ms (0.5%)

Memory

-23.0MiB live, 28.6MiB allocated; 6ms collecting garbage

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	356	6	362
Fresh	3	0	3
Picked	2	3	5
Done	0	3	3
Total	361	12	373

Accuracy

100.0%

Counts

373 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
▶	25.9%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (*.f64 a x) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	25.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	19.0%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
✓	22.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	68.7%	#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (*.f64 a x))
	70.4%	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) a) x) a (*.f64 a x)))
▶	70.4%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) a) x) a)))
✓	70.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) x) a))
▶	70.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) a)) x)) x) x) a))
▶	68.9%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) x) a))

Compiler

Compiled 369 to 255 computations (30.9% saved)

simplify136.0ms (3%)

Memory

35.6MiB live, 121.7MiB allocated; 12ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	467
0	78	451
1	150	451
2	354	451
3	1190	451
4	4144	451
0	8313	442

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (2.9%)

Memory

13.6MiB live, 154.2MiB allocated; 28ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09603500976844201	(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
accuracy	0.9497554051601432	(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (*.f64 a x) x) a #s(literal 1 binary64))
accuracy	19.14909693362958	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (*.f64 a x) x) a #s(literal 1 binary64)))
accuracy	28.622914285999805	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (*.f64 a x) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.15625	(.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) a)) x)
accuracy	0.3046875	(*.f64 #s(literal 1/6 binary64) a)
accuracy	0.9544141749958557	(.f64 (fma.f64 (.f64 a x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) a)) x)) x) x) a)
accuracy	18.939571188708715	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) a)) x)) x) x) a))
accuracy	0.125	(*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)))
accuracy	19.796750532559525	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)))))
accuracy	20.79410623645915	#s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))
accuracy	28.622914285999805	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
accuracy	0.0546875	(.f64 #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x)
accuracy	0.9544141749958557	(.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) x) a)
accuracy	18.939571188708715	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) x) a))
accuracy	20.82076700405554	#s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64))
accuracy	0.11328125	(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) a) x)
accuracy	1.649012849605214	(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) a)
accuracy	2.4899614441825673	(.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) a) x) a)
accuracy	18.939571188708715	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) a) x) a)))

Samples

97.0ms

256×

valid

Compiler

Compiled 333 to 41 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 42.0ms (58% of total)

ival-neg: 9.0ms (12.4% of total)

ival-add: 8.0ms (11% of total)

ival-div: 4.0ms (5.5% of total)

const: 4.0ms (5.5% of total)

ival-exp: 2.0ms (2.8% of total)

ival-expm1: 2.0ms (2.8% of total)

ival-sub: 2.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.6%)

Memory

-13.4MiB live, 31.5MiB allocated; 14ms collecting garbage

Counts

27 → 168

Calls

Call 1

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

Outputs
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
#s(approx (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) #s(hole binary64 (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 x))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 1))
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 1))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (+ 1 (* a x))))
#s(approx (- 1/2 (* (neg (* 1/6 a)) x)) #s(hole binary64 1/2))
#s(approx (- 1/2 (* (neg (* 1/6 a)) x)) #s(hole binary64 (+ 1/2 (* 1/6 (* a x)))))
#s(approx (neg (* 1/6 a)) #s(hole binary64 (* -1/6 a)))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (* (* (+ (* 1/6 (* a x)) 1/2) x) a) #s(hole binary64 (* 1/2 (* a x))))
#s(approx (* (* (+ (* 1/6 (* a x)) 1/2) x) a) #s(hole binary64 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 (* a x)))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (/ -1 a)))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (/ (- (* -1 (* a x)) 1) a)))
#s(approx (* 1/6 a) #s(hole binary64 (* 1/6 a)))
#s(approx (* (neg (* 1/6 a)) x) #s(hole binary64 (* -1/6 (* a x))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* a x)))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (- 1/2 (* (neg (* 1/6 a)) x)) #s(hole binary64 (* 1/6 (* a x))))
#s(approx (- 1/2 (* (neg (* 1/6 a)) x)) #s(hole binary64 (* a (- (* 1/2 (/ 1 a)) (* -1/6 x)))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (* (* (+ (* 1/6 (* a x)) 1/2) x) a) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* 1/6 (* a x)) 1/2) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* 1/6 (* a x))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* 1/6 (* a (pow x 2)))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (* -1 (+ x (/ 1 a)))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (- 1/2 (* (neg (* 1/6 a)) x)) #s(hole binary64 (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
#s(approx (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (* (* (+ (* 1/6 (* a x)) 1/2) x) a) #s(hole binary64 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/6 (* a x))))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (- (* -1 x) (/ 1 a))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (- 1/2 (* (neg (* 1/6 a)) x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) (* -1/6 a)))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* 1/6 (* a x)) 1/2) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (* -1 (* x (+ 1 (/ 1 (* a x)))))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (- 1/2 (* (neg (* 1/6 a)) x)) #s(hole binary64 (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	a	@	0	((+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) (- (exp (* a x)) 1) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) (- (exp (* a x)) 1) (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- 1/2 (* (neg (* 1/6 a)) x)) (neg (* 1/6 a)) (- (exp (* a x)) 1) (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) (* (* (+ (* 1/6 (* a x)) 1/2) x) a) (+ (* 1/6 (* a x)) 1/2) (* (+ (* 1/6 (* a x)) 1/2) x) (- (neg x) (/ 1 a)) (* 1/6 a) (* (neg (* 1/6 a)) x) (+ (* 1/6 (* a x)) 1/2))
4.0ms	a	@	-inf	((+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) (- (exp (* a x)) 1) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) (- (exp (* a x)) 1) (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- 1/2 (* (neg (* 1/6 a)) x)) (neg (* 1/6 a)) (- (exp (* a x)) 1) (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) (* (* (+ (* 1/6 (* a x)) 1/2) x) a) (+ (* 1/6 (* a x)) 1/2) (* (+ (* 1/6 (* a x)) 1/2) x) (- (neg x) (/ 1 a)) (* 1/6 a) (* (neg (* 1/6 a)) x) (+ (* 1/6 (* a x)) 1/2))
3.0ms	a	@	inf	((+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) (- (exp (* a x)) 1) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) (- (exp (* a x)) 1) (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- 1/2 (* (neg (* 1/6 a)) x)) (neg (* 1/6 a)) (- (exp (* a x)) 1) (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) (* (* (+ (* 1/6 (* a x)) 1/2) x) a) (+ (* 1/6 (* a x)) 1/2) (* (+ (* 1/6 (* a x)) 1/2) x) (- (neg x) (/ 1 a)) (* 1/6 a) (* (neg (* 1/6 a)) x) (+ (* 1/6 (* a x)) 1/2))
3.0ms	x	@	-inf	((+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) (- (exp (* a x)) 1) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) (- (exp (* a x)) 1) (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- 1/2 (* (neg (* 1/6 a)) x)) (neg (* 1/6 a)) (- (exp (* a x)) 1) (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) (* (* (+ (* 1/6 (* a x)) 1/2) x) a) (+ (* 1/6 (* a x)) 1/2) (* (+ (* 1/6 (* a x)) 1/2) x) (- (neg x) (/ 1 a)) (* 1/6 a) (* (neg (* 1/6 a)) x) (+ (* 1/6 (* a x)) 1/2))
3.0ms	x	@	inf	((+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) (- (exp (* a x)) 1) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) (- (exp (* a x)) 1) (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- 1/2 (* (neg (* 1/6 a)) x)) (neg (* 1/6 a)) (- (exp (* a x)) 1) (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) (* (* (+ (* 1/6 (* a x)) 1/2) x) a) (+ (* 1/6 (* a x)) 1/2) (* (+ (* 1/6 (* a x)) 1/2) x) (- (neg x) (/ 1 a)) (* 1/6 a) (* (neg (* 1/6 a)) x) (+ (* 1/6 (* a x)) 1/2))

simplify184.0ms (4%)

Memory

9.4MiB live, 151.6MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	436	4488
1	1164	4386
2	4064	4365
0	9058	3928

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
#s(approx (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) #s(hole binary64 (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 x))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 1))
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 1))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (+ 1 (* a x))))
#s(approx (- 1/2 (* (neg (* 1/6 a)) x)) #s(hole binary64 1/2))
#s(approx (- 1/2 (* (neg (* 1/6 a)) x)) #s(hole binary64 (+ 1/2 (* 1/6 (* a x)))))
#s(approx (neg (* 1/6 a)) #s(hole binary64 (* -1/6 a)))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (* (* (+ (* 1/6 (* a x)) 1/2) x) a) #s(hole binary64 (* 1/2 (* a x))))
#s(approx (* (* (+ (* 1/6 (* a x)) 1/2) x) a) #s(hole binary64 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 (* a x)))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (/ -1 a)))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (/ (- (* -1 (* a x)) 1) a)))
#s(approx (* 1/6 a) #s(hole binary64 (* 1/6 a)))
#s(approx (* (neg (* 1/6 a)) x) #s(hole binary64 (* -1/6 (* a x))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* a x)))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (- 1/2 (* (neg (* 1/6 a)) x)) #s(hole binary64 (* 1/6 (* a x))))
#s(approx (- 1/2 (* (neg (* 1/6 a)) x)) #s(hole binary64 (* a (- (* 1/2 (/ 1 a)) (* -1/6 x)))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (* (* (+ (* 1/6 (* a x)) 1/2) x) a) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* 1/6 (* a x)) 1/2) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* 1/6 (* a x))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* 1/6 (* a (pow x 2)))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (* -1 (+ x (/ 1 a)))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (- 1/2 (* (neg (* 1/6 a)) x)) #s(hole binary64 (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
#s(approx (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (* (* (+ (* 1/6 (* a x)) 1/2) x) a) #s(hole binary64 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/6 (* a x))))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (- (* -1 x) (/ 1 a))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (- 1/2 (* (neg (* 1/6 a)) x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) (* -1/6 a)))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* 1/6 (* a x)) 1/2) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* 1/6 (* a x)) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (- (neg x) (/ 1 a)) #s(hole binary64 (* -1 (* x (+ 1 (/ 1 (* a x)))))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* x a) (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (* (* (+ (* 1/6 (* a x)) 1/2) x) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) x)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (* (neg a) (- (neg x) (/ 1 a))) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (- 1/2 (* (neg (* 1/6 a)) x)) #s(hole binary64 (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (* a x) (* (- 1/2 (* (neg (* 1/6 a)) x)) x)) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) a) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* (+ (* 1/6 (* a x)) 1/2) x) (* a x)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))))

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

rewrite228.0ms (5%)

Memory

-15.9MiB live, 174.5MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	387
0	78	375
1	299	373
2	1989	373
0	9164	364

Stop Event

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

Counts

27 → 620

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 a x) #s(literal 4 binary64)))) a) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x x) a) a) (/.f64 (.f64 a (-.f64 x (.f64 (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x))) (-.f64 x (.f64 (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 a x))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x x) a) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x x) a)
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x x) a))
(.f64 a (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x x) #s(literal 1 binary64)))
(.f64 a (fma.f64 (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x x))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a x)) (pow.f64 (.f64 a x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 6 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a x)) (pow.f64 (.f64 a x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a x)) (pow.f64 (.f64 a x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a x)) (pow.f64 (.f64 a x) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 6 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a x)) (pow.f64 (.f64 a x) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 6 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a x)) (pow.f64 (.f64 a x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a x)) (pow.f64 (.f64 a x) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 6 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a x)) (pow.f64 (.f64 a x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a))) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a))) a) (.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a))) a)) (.f64 (.f64 a x) (.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a))) a)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 a x) #s(literal 4 binary64)))) #s(literal 1 binary64))) (neg.f64 (.f64 a (-.f64 x (.f64 (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 6 binary64)) (pow.f64 (.f64 a x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a x)) (pow.f64 (.f64 a x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x) #s(literal 2 binary64)) (.f64 x x)) a)) (neg.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x) x)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x) #s(literal 3 binary64))) a)) (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x) #s(literal 2 binary64)))))
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(fma.f64 a x (.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a))) a))
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(+.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a x))
(+.f64 (.f64 a x) (.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a))) a))
(+.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x x) a))
(.f64 (.f64 (.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) a) x)
(.f64 (.f64 a (.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a)) x)
(.f64 (.f64 a (.f64 a x)) (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x))
(.f64 (.f64 a (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (*.f64 x x) a))
(.f64 (.f64 a a) (.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x) a)
(.f64 (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) (*.f64 a x))
(.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 a (*.f64 a x)))
(.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 (*.f64 a x) a))
(.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(.f64 (.f64 a x) (.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a))
(.f64 a (.f64 (.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x))
(.f64 x (.f64 (.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) a))
(.f64 (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) a)
(.f64 (.f64 (.f64 x x) a) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a) x)
(.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 a x))
(.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 x x) a))
(.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x))
(.f64 a (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x))
(.f64 x (.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)))) (.f64 (.f64 x x) a))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))
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(/.f64 (.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) a)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) (*.f64 a x) x) a))
(.f64 (fma.f64 (.f64 #s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) (*.f64 a x) x) a)
(.f64 a (fma.f64 (.f64 #s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) (*.f64 a x) x))
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(+.f64 (.f64 (.f64 a x) (.f64 (.f64 #s(literal 1/6 binary64) a) x)) (.f64 (.f64 a x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 a x) #s(literal 1/2 binary64)) (.f64 (.f64 a x) (.f64 (.f64 #s(literal 1/6 binary64) a) x)))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x)
(.f64 x #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)))
#s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal -1/6 binary64) (neg.f64 a))
(*.f64 #s(literal 1/6 binary64) (neg.f64 (neg.f64 a)))
(*.f64 #s(literal 1/6 binary64) a)
(*.f64 a #s(literal 1/6 binary64))
(neg.f64 (*.f64 #s(literal -1/6 binary64) a))
(.f64 (.f64 x #s(literal -1/6 binary64)) a)
(.f64 (.f64 x #s(literal 1/6 binary64)) (neg.f64 a))
(.f64 (neg.f64 (.f64 a x)) #s(literal 1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 a x))
(.f64 (.f64 #s(literal -1/6 binary64) a) x)
(.f64 (.f64 #s(literal 1/6 binary64) a) (neg.f64 x))
(.f64 (.f64 a x) #s(literal -1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 (neg.f64 a) x))
(.f64 #s(literal 1/6 binary64) (neg.f64 (.f64 a x)))
(.f64 x (.f64 #s(literal -1/6 binary64) a))
(neg.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) (-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))))) (.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) a)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) a)) (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) a))) (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) a))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 a x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)) (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 a x)) (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 a x)) (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))))) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 a x)) (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 a x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))) #s(literal 1/8 binary64))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 a x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (*.f64 a x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 a x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 a x)) (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 a x)) (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 a x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) (.f64 #s(literal -1/6 binary64) (.f64 a x))) (fma.f64 #s(literal -1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) a) x))

eval89.0ms (2%)

Memory: 10.2MiB live, 98.9MiB allocated; 11ms collecting garbage
Compiler: Compiled 30 145 to 2 907 computations (90.4% saved)

prune29.0ms (0.6%)

Memory

-8.3MiB live, 44.5MiB allocated; 6ms collecting garbage

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	650	5	655
Fresh	1	0	1
Picked	2	3	5
Done	0	6	6
Total	653	14	667

Accuracy

100.0%

Counts

667 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
✓	25.9%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (*.f64 a x) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	25.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	19.0%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
✓	22.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	68.7%	#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (*.f64 a x))
	68.8%	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) a) x) a (*.f64 a x)))
	68.9%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 (.f64 (.f64 #s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) a) x) a)))
	70.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 a x)))
✓	70.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) x) a))
	70.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a #s(literal -1/6 binary64)) x)) x) x) a))
✓	68.9%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) x) a))
	68.9%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64)) x) a))

Compiler

Compiled 820 to 344 computations (58% saved)

regimes35.0ms (0.8%)

Memory

-1.9MiB live, 44.1MiB allocated; 3ms collecting garbage

Counts

28 → 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) 2)) 1) (- (pow (exp x) a) -1)) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x a) 1/6) 1/2) #s(literal 1/2 binary64))) a x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 (.f64 (.f64 #s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) a) x) a)))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) a) x) a (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 a x)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a #s(literal -1/6 binary64)) x)) x) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) a)) x)) x) x) a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (*.f64 a x) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (pow (exp x) a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) a) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) a) x) a)))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) a) x) a (*.f64 a x)))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) #s(approx (- (pow (exp x) a) -1) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))

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

Calls

5 calls:

7.0ms	x
7.0ms	a
7.0ms	(exp.f64 (*.f64 a x))
7.0ms	(*.f64 a x)
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes29.0ms (0.6%)

Memory

31.8MiB live, 31.8MiB allocated; 0ms collecting garbage

Counts

23 → 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) 2)) 1) (- (pow (exp x) a) -1)) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x a) 1/6) 1/2) #s(literal 1/2 binary64))) a x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 (.f64 (.f64 #s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) a) x) a)))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) a) x) a (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 a x)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a #s(literal -1/6 binary64)) x)) x) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) a)) x)) x) x) a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (*.f64 a x) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (pow (exp x) a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) a) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) a) x) a)))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) a) x) a (*.f64 a x)))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
70.4%	1	`(*.f64 a x)`
70.4%	1	`(exp.f64 (*.f64 a x))`
70.4%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
70.4%	1	`a`
70.4%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes57.0ms (1.3%)

Memory

-15.5MiB live, 30.3MiB allocated; 4ms collecting garbage

Counts

21 → 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) 2)) 1) (- (pow (exp x) a) -1)) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x a) 1/6) 1/2) #s(literal 1/2 binary64))) a x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 (.f64 (.f64 #s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) a) x) a)))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) a) x) a (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 a x)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a #s(literal -1/6 binary64)) x)) x) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) a)) x)) x) x) a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) x) (*.f64 a x) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (pow (exp x) a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) a) x) a #s(literal 1 binary64))) #s(literal 1 binary64))

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

Calls

5 calls:

36.0ms	(*.f64 a x)
6.0ms	x
6.0ms	a
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
70.4%	1	`a`
70.4%	1	`(exp.f64 (*.f64 a x))`
70.4%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
70.4%	1	`x`
70.4%	1	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes42.0ms (0.9%)

Memory

-25.3MiB live, 21.2MiB allocated; 2ms collecting garbage

Counts

13 → 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) 2)) 1) (- (pow (exp x) a) -1)) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x a) 1/6) 1/2) #s(literal 1/2 binary64))) a x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 (.f64 (.f64 #s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) a) x) a)))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) a) x) a (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))

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

Calls

5 calls:

27.0ms	(exp.f64 (*.f64 a x))
4.0ms	x
4.0ms	a
4.0ms	(*.f64 a x)
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
68.9%	1	`(exp.f64 (*.f64 a x))`
68.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
68.9%	1	`a`
68.9%	1	`x`
68.9%	1	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes14.0ms (0.3%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Counts

9 → 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) 2)) 1) (- (pow (exp x) a) -1)) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x a) 1/6) 1/2) #s(literal 1/2 binary64))) a x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))

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

Calls

5 calls:

3.0ms	x
3.0ms	a
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
68.9%	1	`(*.f64 a x)`
68.9%	1	`a`
68.9%	1	`(exp.f64 (*.f64 a x))`
68.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
68.9%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes10.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Counts

5 → 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) 2)) 1) (- (pow (exp x) a) -1)) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64)) x) a))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
68.9%	1	`(*.f64 a x)`
68.9%	1	`a`
68.9%	1	`(exp.f64 (*.f64 a x))`
68.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
68.9%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes8.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

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) 2)) 1) (- (pow (exp x) a) -1)) (*.f64 a x))
(-.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

5 calls:

2.0ms	a
2.0ms	x
2.0ms	(*.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
68.7%	1	`(*.f64 a x)`
68.7%	1	`a`
68.7%	1	`x`
68.7%	1	`(exp.f64 (*.f64 a x))`
68.7%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes8.0ms (0.2%)

Memory

-38.7MiB live, 9.7MiB allocated; 5ms collecting garbage

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:

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

Results

Accuracy	Segments	Branch
22.0%	1	`x`
22.0%	1	`(*.f64 a x)`
22.0%	1	`(exp.f64 (*.f64 a x))`
22.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
22.0%	1	`a`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify43.0ms (0.9%)

Memory

7.3MiB live, 50.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	145
1	54	145
2	91	145
3	177	145
4	464	145
5	2622	145

Stop Event

1×	node limit

Calls

Call 1

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

derivations311.0ms (6.8%)

Memory

-2.5MiB live, 139.6MiB allocated; 14ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 145 to 43 computations (70.3% saved)

preprocess45.0ms (1%)

Memory: 1.2MiB live, 46.0MiB allocated; 7ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 318 to 114 computations (64.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze29.0ms (0.6%)

sample614.0ms (13.5%)

explain93.0ms (2.1%)

preprocess202.0ms (4.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify211.0ms (4.6%)

localize17.0ms (0.4%)

series4.0ms (0.1%)

simplify250.0ms (5.5%)

rewrite37.0ms (0.8%)

eval5.0ms (0.1%)

prune16.0ms (0.3%)

simplify143.0ms (3.2%)

localize283.0ms (6.2%)

series116.0ms (2.5%)

simplify155.0ms (3.4%)

rewrite81.0ms (1.8%)

eval80.0ms (1.8%)

prune16.0ms (0.4%)

simplify125.0ms (2.8%)

localize299.0ms (6.6%)

series30.0ms (0.7%)

simplify181.0ms (4%)

rewrite66.0ms (1.4%)

eval41.0ms (0.9%)

prune24.0ms (0.5%)

simplify136.0ms (3%)

localize131.0ms (2.9%)

series29.0ms (0.6%)

simplify184.0ms (4%)

rewrite228.0ms (5%)

eval89.0ms (2%)

prune29.0ms (0.6%)

regimes35.0ms (0.8%)

regimes29.0ms (0.6%)

regimes57.0ms (1.3%)

regimes42.0ms (0.9%)

regimes14.0ms (0.3%)

regimes10.0ms (0.2%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

simplify43.0ms (0.9%)

derivations311.0ms (6.8%)

preprocess45.0ms (1%)

end0.0ms (0%)

Profiling