Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze54.0ms (1.4%)

Memory

-40.6MiB live, 55.6MiB allocated; 32ms 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)

sample1.1s (27.2%)

Memory

57.3MiB live, 982.6MiB allocated; 290ms collecting garbage

Samples

649.0ms	8 256×	0	valid
25.0ms	343×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 299.0ms

ival-mult: 174.0ms (58.3% of total)

ival-expm1: 116.0ms (38.9% of total)

adjust: 4.0ms (1.3% of total)

ival->: 3.0ms (1% of total)

ival-assert: 2.0ms (0.7% of total)

exact: 1.0ms (0.3% of total)

Bogosity

explain116.0ms (2.9%)

Memory

-7.9MiB live, 83.5MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
124	1	(7.3171460807998024e-301 -5.0669268539517815e-24)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
1	0	-	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`a`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 a x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	125	0
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	125	0
-	1	130

Precision

0.9920634920634921

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	125	0	0
-	1	0	130

Precision?

0.9920634920634921

Recall?

1.0

Freqs

test

number	freq
0	130
1	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 11.0ms (45.2% of total)

ival-exp: 6.0ms (24.6% of total)

ival-expm1: 5.0ms (20.5% of total)

ival-true: 1.0ms (4.1% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess377.0ms (9.6%)

Memory

13.9MiB live, 200.3MiB allocated; 84ms 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)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.0%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

series9.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB 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
2.0ms	a	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
2.0ms	a	@	0	((- (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	@	-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)

rewrite256.0ms (6.5%)

Memory

-18.9MiB live, 122.9MiB allocated; 23ms 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)

eval12.0ms (0.3%)

Memory: 10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 709 to 182 computations (74.3% saved)

prune6.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	49	5	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	5	55

Accuracy

99.9%

Counts

55 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	15.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	99.9%	(expm1.f64 (*.f64 x a))
▶	54.5%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	59.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 100 to 78 computations (22% saved)

series20.0ms (0.5%)

Memory

15.1MiB live, 15.1MiB 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
3.0ms	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)
3.0ms	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)
3.0ms	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)
3.0ms	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)
3.0ms	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)

rewrite328.0ms (8.3%)

Memory

-28.9MiB live, 155.6MiB allocated; 29ms 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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))))
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(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))))

eval68.0ms (1.7%)

Memory: 11.1MiB live, 55.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 6 372 to 1 075 computations (83.1% saved)

prune19.0ms (0.5%)

Memory

23.7MiB live, 23.7MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	309	3	312
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	310	7	317

Accuracy

99.9%

Counts

317 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	17.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	15.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 x a))
▶	55.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
▶	59.0%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
▶	14.5%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) x))
✓	59.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 93 to 70 computations (24.7% saved)

series658.0ms (16.7%)

Memory

-70.2MiB live, 21.0MiB allocated; 1.1s collecting garbage

Counts

20 → 62

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
630.0ms	x	@	0	((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* (* a a) x) 1/2) (* (* a a) x) (* a a) a x 1/2 (- (exp (* a x)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (* a x) 1 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x))
6.0ms	a	@	0	((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* (* a a) x) 1/2) (* (* a a) x) (* a a) a x 1/2 (- (exp (* a x)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (* a x) 1 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x))
6.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* (* a a) x) 1/2) (* (* a a) x) (* a a) a x 1/2 (- (exp (* a x)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (* a x) 1 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x))
5.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* (* a a) x) 1/2) (* (* a a) x) (* a a) a x 1/2 (- (exp (* a x)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (* a x) 1 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x))
5.0ms	a	@	inf	((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* (* a a) x) 1/2) (* (* a a) x) (* a a) a x 1/2 (- (exp (* a x)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (* a x) 1 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x))

rewrite349.0ms (8.9%)

Memory

26.1MiB live, 180.9MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	1298
1	814	1298
0	6645	1176

Stop Event

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

Counts

82 → 412

Calls

Call 1

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

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

eval89.0ms (2.3%)

Memory: -31.3MiB live, 63.4MiB allocated; 26ms collecting garbage
Compiler: Compiled 8 848 to 1 423 computations (83.9% saved)

prune19.0ms (0.5%)

Memory

24.7MiB live, 24.7MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	347	1	348
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	348	7	355

Accuracy

99.9%

Counts

355 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	17.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	15.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 x a))
▶	59.0%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
✓	59.0%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
✓	14.5%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) x))
✓	59.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 93 to 71 computations (23.7% saved)

series10.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

9 → 31

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite240.0ms (6.1%)

Memory

-24.1MiB live, 110.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	606
1	662	606
0	5636	538

Stop Event

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

Counts

40 → 173

Calls

Call 1

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

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

eval36.0ms (0.9%)

Memory: 30.9MiB live, 30.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 231 to 715 computations (83.1% saved)

prune24.0ms (0.6%)

Memory

-34.4MiB live, 18.1MiB allocated; 8ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	170	7	177

Accuracy

99.9%

Counts

177 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	17.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	15.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 x a))
✓	59.0%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
✓	59.0%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
✓	14.5%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) x))
✓	59.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 226 to 117 computations (48.2% saved)

regimes28.0ms (0.7%)

Memory

23.3MiB live, 23.3MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

5 calls:

6.0ms	a
6.0ms	x
6.0ms	(*.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)

regimes27.0ms (0.7%)

Memory

-26.1MiB live, 19.9MiB allocated; 3ms 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 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) x))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))

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

Calls

5 calls:

5.0ms	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
59.7%	1	`(*.f64 a x)`
59.7%	1	`(exp.f64 (*.f64 a x))`
59.7%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
59.7%	1	`a`
59.7%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes10.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB 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:

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

Results

Accuracy	Segments	Branch
15.3%	1	`a`
15.3%	1	`(exp.f64 (*.f64 a x))`
15.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
15.3%	1	`(*.f64 a x)`
15.3%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify71.0ms (1.8%)

Memory

-2.7MiB live, 42.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	21	22
2	43	22
3	100	22
4	329	22
5	2668	22

Stop Event

1×	done
1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 22 to 12 computations (45.5% saved)

preprocess42.0ms (1.1%)

Memory: 35.3MiB live, 35.3MiB allocated; 0ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 96 to 76 computations (20.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze54.0ms (1.4%)

sample1.1s (27.2%)

explain116.0ms (2.9%)

preprocess377.0ms (9.6%)

eval0.0ms (0%)

prune1.0ms (0%)

series9.0ms (0.2%)

rewrite256.0ms (6.5%)

eval12.0ms (0.3%)

prune6.0ms (0.2%)

series20.0ms (0.5%)

rewrite328.0ms (8.3%)

eval68.0ms (1.7%)

prune19.0ms (0.5%)

series658.0ms (16.7%)

rewrite349.0ms (8.9%)

eval89.0ms (2.3%)

prune19.0ms (0.5%)

series10.0ms (0.2%)

rewrite240.0ms (6.1%)

eval36.0ms (0.9%)

prune24.0ms (0.6%)

regimes28.0ms (0.7%)

regimes27.0ms (0.7%)

regimes10.0ms (0.2%)

simplify71.0ms (1.8%)

preprocess42.0ms (1.1%)

end0.0ms (0%)

Profiling