Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze33.0ms (1.1%)

Memory

-6.7MiB live, 37.5MiB allocated; 11ms 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)

sample694.0ms (22.7%)

Memory

-1.3MiB live, 782.7MiB allocated; 193ms collecting garbage

Samples

461.0ms	8 256×	0	valid
13.0ms	316×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-expm1: 115.0ms (50.4% of total)

ival-mult: 108.0ms (47.4% of total)

adjust: 2.0ms (0.9% of total)

ival->: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

ival-assert: 1.0ms (0.4% of total)

Bogosity

explain82.0ms (2.7%)

Memory

26.4MiB live, 73.1MiB allocated; 3ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	130	0
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	2	1

Confusion

	Predicted +	Predicted -
+	132	0
-	0	124

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	0
-	0	1	123

Precision?

0.9924812030075187

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

31.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 5.0ms (37.3% of total)

ival-exp: 4.0ms (29.8% of total)

ival-expm1: 3.0ms (22.4% 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)

preprocess193.0ms (6.3%)

Memory

7.7MiB live, 147.0MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	42
1	45	42
2	81	42
3	219	42
4	977	42
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

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.7%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

series5.0ms (0.2%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

6 → 18

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
#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 a #s(hole binary64 a))
#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)))))))))
#s(approx x #s(hole binary64 x))

Calls

6 calls:

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

rewrite117.0ms (3.8%)

Memory

-20.6MiB live, 69.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	321
1	473	321
0	4483	278

Stop Event

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

Counts

24 → 56

Calls

Call 1

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

eval6.0ms (0.2%)

Memory: 7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 709 to 182 computations (74.3% saved)

prune5.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	47	7	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	7	55

Accuracy

99.9%

Counts

55 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	18.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	16.1%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	99.9%	(expm1.f64 (*.f64 x a))
	53.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
▶	56.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	62.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 184 to 136 computations (26.1% saved)

series10.0ms (0.3%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

17 → 48

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms	a	@	0	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms	a	@	-inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
1.0ms	x	@	inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
1.0ms	a	@	inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)

rewrite259.0ms (8.5%)

Memory

-7.6MiB live, 135.3MiB allocated; 76ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	950
1	838	949
0	7021	835

Stop Event

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

Counts

65 → 307

Calls

Call 1

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

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

eval34.0ms (1.1%)

Memory: -2.5MiB live, 42.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 372 to 1 075 computations (83.1% saved)

prune13.0ms (0.4%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	307	5	312
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	309	10	319

Accuracy

99.9%

Counts

319 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.5%	(-.f64 #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(literal 1 binary64))
✓	18.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	16.1%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 x a))
▶	61.8%	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) x) a (.f64 a x)))
▶	61.9%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
	53.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
▶	57.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
▶	61.9%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a x) (*.f64 #s(literal 1/2 binary64) a) a) x))
✓	62.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 257 to 183 computations (28.8% saved)

series20.0ms (0.7%)

Memory

-24.8MiB live, 21.7MiB allocated; 3ms collecting garbage

Counts

26 → 74

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	((- (exp (* a x)) 1) (+ (* x a) (* (pow (* a x) 2) 1/2)) x a (* (pow (* a x) 2) 1/2) (pow (* a x) 2) (* a x) 2 1/2 (- (exp (* a x)) 1) (* (+ (* (* a x) (* 1/2 a)) a) x) (+ (* (* a x) (* 1/2 a)) a) (* 1/2 a) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) 1 (- (exp (* a x)) 1) (+ (* (* (* 1/2 (* a x)) x) a) (* a x)) (* (* 1/2 (* a x)) x) (* 1/2 (* a x)))
4.0ms	a	@	0	((- (exp (* a x)) 1) (+ (* x a) (* (pow (* a x) 2) 1/2)) x a (* (pow (* a x) 2) 1/2) (pow (* a x) 2) (* a x) 2 1/2 (- (exp (* a x)) 1) (* (+ (* (* a x) (* 1/2 a)) a) x) (+ (* (* a x) (* 1/2 a)) a) (* 1/2 a) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) 1 (- (exp (* a x)) 1) (+ (* (* (* 1/2 (* a x)) x) a) (* a x)) (* (* 1/2 (* a x)) x) (* 1/2 (* a x)))
3.0ms	a	@	-inf	((- (exp (* a x)) 1) (+ (* x a) (* (pow (* a x) 2) 1/2)) x a (* (pow (* a x) 2) 1/2) (pow (* a x) 2) (* a x) 2 1/2 (- (exp (* a x)) 1) (* (+ (* (* a x) (* 1/2 a)) a) x) (+ (* (* a x) (* 1/2 a)) a) (* 1/2 a) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) 1 (- (exp (* a x)) 1) (+ (* (* (* 1/2 (* a x)) x) a) (* a x)) (* (* 1/2 (* a x)) x) (* 1/2 (* a x)))
3.0ms	x	@	-inf	((- (exp (* a x)) 1) (+ (* x a) (* (pow (* a x) 2) 1/2)) x a (* (pow (* a x) 2) 1/2) (pow (* a x) 2) (* a x) 2 1/2 (- (exp (* a x)) 1) (* (+ (* (* a x) (* 1/2 a)) a) x) (+ (* (* a x) (* 1/2 a)) a) (* 1/2 a) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) 1 (- (exp (* a x)) 1) (+ (* (* (* 1/2 (* a x)) x) a) (* a x)) (* (* 1/2 (* a x)) x) (* 1/2 (* a x)))
2.0ms	x	@	inf	((- (exp (* a x)) 1) (+ (* x a) (* (pow (* a x) 2) 1/2)) x a (* (pow (* a x) 2) 1/2) (pow (* a x) 2) (* a x) 2 1/2 (- (exp (* a x)) 1) (* (+ (* (* a x) (* 1/2 a)) a) x) (+ (* (* a x) (* 1/2 a)) a) (* 1/2 a) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) 1 (- (exp (* a x)) 1) (+ (* (* (* 1/2 (* a x)) x) a) (* a x)) (* (* 1/2 (* a x)) x) (* 1/2 (* a x)))

rewrite175.0ms (5.7%)

Memory

-3.4MiB live, 138.0MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	1679
1	1077	1677
0	8739	1517

Stop Event

1×	iter limit
1×	node limit

Counts

100 → 703

Calls

Call 1

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

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

eval60.0ms (2%)

Memory: 30.2MiB live, 74.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 12 882 to 1 850 computations (85.6% saved)

prune422.0ms (13.8%)

Memory

-63.3MiB live, 33.1MiB allocated; 844ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	542	5	547
Fresh	0	1	1
Picked	5	0	5
Done	0	4	4
Total	547	10	557

Accuracy

99.9%

Counts

557 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	18.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	4.9%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
▶	4.1%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
✓	16.1%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 x a))
▶	61.9%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 (.f64 x a) (.f64 x a)) #s(literal 1/2 binary64))))
	53.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
▶	61.9%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a))
✓	62.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 321 to 221 computations (31.2% saved)

series24.0ms (0.8%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Counts

32 → 104

Calls

Call 1

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

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 (+ (* x a) (* (* (* x a) (* x a)) 1/2)) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) (* (* (* x a) (* x a)) 1/2)) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx a #s(hole binary64 a))
#s(approx (* (* (* x a) (* x a)) 1/2) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* x a) (* x a)) #s(hole binary64 (* (pow a 2) (pow x 2))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (* (* x a) x) #s(hole binary64 (* a (pow x 2))))
#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) x) 1/2) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 a))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ a x)))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* a (+ (* 1/2 a) (/ 1 x)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ a x) #s(hole binary64 (/ a x)))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (/ x a)))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (/ (+ x (* 1/2 (* a (pow x 2)))) a)))
#s(approx (/ x a) #s(hole binary64 (/ x a)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (+ (* x a) (* (* (* x a) (* x a)) 1/2)) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* x a) (* (* (* x a) (* x a)) 1/2)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (* a x))))))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (+ (* 1/2 (pow x 2)) (/ x a))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 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 (+ (* x a) (* (* (* x a) (* x a)) 1/2)) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#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 a) x) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ (+ a (* 1/2 (* (pow a 2) x))) x)))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (* x (+ (* 1/2 x) (/ 1 a)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x a) (* (* (* x a) (* x a)) 1/2)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (+ (* 1/2 (pow a 2)) (/ a x))))
#s(approx (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* x x) 1/2) (/ x a)) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* (* x x) 1/2) (/ x a)) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (* a x))))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))

Calls

6 calls:

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

rewrite191.0ms (6.2%)

Memory

-42.6MiB live, 165.2MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	2533
1	1272	2530
0	8870	2293

Stop Event

1×	iter limit
1×	node limit

Counts

136 → 871

Calls

Call 1

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

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

eval108.0ms (3.5%)

Memory: -4.8MiB live, 128.5MiB allocated; 18ms collecting garbage
Compiler: Compiled 30 175 to 3 862 computations (87.2% saved)

prune32.0ms (1.1%)

Memory

-0.9MiB live, 54.3MiB allocated; 12ms collecting garbage

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	897	4	901
Fresh	0	1	1
Picked	2	3	5
Done	0	4	4
Total	899	12	911

Accuracy

99.9%

Counts

911 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	17.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	18.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	7.7%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 #s(approx (+ (* (* x x) 1/2) (/ x a)) (/.f64 x a)) a) a))) #s(literal 1 binary64))
	5.0%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 #s(approx (+ (* (* x x) 1/2) (/ x a)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64))
	6.5%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) x))) #s(literal 1 binary64))
	4.2%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (.f64 (.f64 #s(literal 1/2 binary64) a) a)) x) x))) #s(literal 1 binary64))
✓	16.1%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 x a))
✓	61.9%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 (.f64 x a) (.f64 x a)) #s(literal 1/2 binary64))))
	53.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
✓	61.9%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a))
✓	62.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 729 to 300 computations (58.8% saved)

regimes28.0ms (0.9%)

Memory

32.2MiB live, 32.2MiB allocated; 0ms collecting garbage

Counts

22 → 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))
(-.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 (fma.f64 (.f64 a x) (*.f64 #s(literal 1/2 binary64) a) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (.f64 (.f64 #s(literal 1/2 binary64) a) a)) x) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 #s(approx (+ (* (* x x) 1/2) (/ x a)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 #s(approx (+ (* (* x x) 1/2) (/ x a)) (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #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(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 (.f64 x a) (.f64 x a)) #s(literal 1/2 binary64))))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) x) a (.f64 a x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))

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

Calls

5 calls:

6.0ms	x
6.0ms	a
5.0ms	(*.f64 a x)
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes25.0ms (0.8%)

Memory

-18.5MiB live, 27.7MiB allocated; 2ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

6.0ms	x
5.0ms	a
5.0ms	(*.f64 a x)
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
67.2%	2	`(*.f64 a x)`
67.2%	2	`(exp.f64 (*.f64 a x))`
67.2%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
65.5%	2	`a`
62.7%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes11.0ms (0.4%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.2%	2	`(*.f64 a x)`
67.2%	2	`(exp.f64 (*.f64 a x))`
67.2%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.3%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.1%	2	`(*.f64 a x)`
66.1%	2	`(exp.f64 (*.f64 a x))`
66.1%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes13.0ms (0.4%)

Memory

-32.7MiB live, 13.8MiB allocated; 2ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

4.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
3.0ms	a
3.0ms	(*.f64 a x)
2.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
62.7%	1	`a`
64.5%	2	`(*.f64 a x)`
64.5%	2	`(exp.f64 (*.f64 a x))`
64.5%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes7.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

8 → 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))
(-.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 (fma.f64 (.f64 a x) (*.f64 #s(literal 1/2 binary64) a) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (.f64 (.f64 #s(literal 1/2 binary64) a) a)) x) x))) #s(literal 1 binary64))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
62.7%	1	`(*.f64 a x)`
62.7%	1	`(exp.f64 (*.f64 a x))`
62.7%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
16.1%	1	`x`
16.1%	1	`a`
16.1%	1	`(*.f64 a x)`
16.1%	1	`(exp.f64 (*.f64 a x))`
16.1%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999710588	-9.470776157416427e-5

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999710588	-9.470776157416427e-5

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999710588	-9.470776157416427e-5

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999710588	-9.470776157416427e-5

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify54.0ms (1.8%)

Memory

-14.2MiB live, 32.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	282
1	102	282
2	228	282
3	621	282
4	1606	282
5	5062	282

Stop Event

1×	node limit

Calls

Call 1

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

derivations389.0ms (12.7%)

Memory

-7.1MiB live, 175.9MiB allocated; 16ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 282 to 66 computations (76.6% saved)

preprocess33.0ms (1.1%)

Memory: 44.1MiB live, 44.1MiB allocated; 0ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 592 to 160 computations (73% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze33.0ms (1.1%)

sample694.0ms (22.7%)

explain82.0ms (2.7%)

preprocess193.0ms (6.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.2%)

rewrite117.0ms (3.8%)

eval6.0ms (0.2%)

prune5.0ms (0.1%)

series10.0ms (0.3%)

rewrite259.0ms (8.5%)

eval34.0ms (1.1%)

prune13.0ms (0.4%)

series20.0ms (0.7%)

rewrite175.0ms (5.7%)

eval60.0ms (2%)

prune422.0ms (13.8%)

series24.0ms (0.8%)

rewrite191.0ms (6.2%)

eval108.0ms (3.5%)

prune32.0ms (1.1%)

regimes28.0ms (0.9%)

regimes25.0ms (0.8%)

regimes11.0ms (0.4%)

regimes8.0ms (0.3%)

regimes13.0ms (0.4%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify54.0ms (1.8%)

derivations389.0ms (12.7%)

preprocess33.0ms (1.1%)

end0.0ms (0%)

Profiling