Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze21.0ms (0.7%)

Memory

4.8MiB live, 52.3MiB allocated; 1ms 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)

sample784.0ms (26.3%)

Memory

22.2MiB live, 1 053.0MiB allocated; 208ms collecting garbage

Samples

425.0ms	8 256×	0	valid
14.0ms	292×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-expm1: 95.0ms (50.7% of total)

ival-mult: 87.0ms (46.4% of total)

adjust: 3.0ms (1.6% of total)

ival-assert: 2.0ms (1.1% of total)

ival->: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

Bogosity

explain142.0ms (4.7%)

Memory

-3.7MiB live, 238.9MiB allocated; 48ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	131	0

Confusion

	Predicted +	Predicted -
+	131	0
-	0	125

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	0	0	125

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	125
1	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

63.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-exp: 7.0ms (30.8% of total)

ival-mult: 7.0ms (30.8% of total)

ival-expm1: 7.0ms (30.8% of total)

ival-true: 1.0ms (4.4% of total)

exact: 1.0ms (4.4% of total)

adjust: 0.0ms (0% of total)

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

preprocess202.0ms (6.8%)

Memory

28.6MiB live, 265.8MiB allocated; 17ms 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	6

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

Symmetry

(sort a x)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

series9.0ms (0.3%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

6 → 18

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
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)

rewrite171.0ms (5.7%)

Memory

-34.5MiB live, 148.5MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	321
0	87	321
1	479	321
0	4482	321

Stop Event

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

Counts

24 → 50

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)
#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 (-.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) #s(literal 1 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 (-.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #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))) #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 (ratio-square-sum.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (ratio-square-sum.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))
(-.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 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))
(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))) (+.f64 (.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 (+.f64 (*.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) x) a)
(.f64 (.f64 #s(literal 1 binary64) a) x)
(.f64 (.f64 x a) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x a))
(*.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 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) a))) a) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (.f64 #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) a))) a) (.f64 #s(literal -1/2 binary64) (.f64 x x))) a) x) a))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (-.f64 (*.f64 x a) #s(literal -1 binary64)))
#s(approx (exp (* a x)) (-.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64)))
#s(approx (exp (* a x)) (-.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) a))) a) x) a) #s(literal -1 binary64)))
#s(approx (* a x) (*.f64 x a))
#s(approx a a)
#s(approx (- (exp (* a x)) 1) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))
#s(approx (exp (* a x)) (pow.f64 (exp.f64 x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64))) x)) x) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (.f64 #s(literal -1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x))) x) (.f64 #s(literal -1/2 binary64) (.f64 a a))) x) a) x))
#s(approx (exp (* a x)) (-.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64)))
#s(approx (exp (* a x)) (-.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64))) x)) x) a) x) #s(literal -1 binary64)))
#s(approx x x)

eval39.0ms (1.3%)

Memory

10.2MiB live, 64.3MiB allocated; 11ms collecting garbage

Samples

25.0ms	476×	0	valid
1.0ms	36×	0	invalid

Compiler

Compiled 689 to 189 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (34.7% of total)

ival-mult: 3.0ms (34.7% of total)

ival-add: 2.0ms (23.1% of total)

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

adjust: 0.0ms (0% of total)

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

prune5.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	41	7	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	8	49

Accuracy

100.0%

Counts

49 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.8%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶	17.8%	(-.f64 #s(approx (exp (* a x)) (-.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64))) #s(literal 1 binary64))
▶	19.3%	(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 x a) #s(literal -1 binary64))) #s(literal 1 binary64))
▶	17.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
	18.6%	(+.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
	58.7%	#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) a))) a) x) a))
▶	60.8%	#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
▶	66.3%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 216 to 166 computations (23.1% saved)

series18.0ms (0.6%)

Memory

-18.9MiB live, 25.4MiB allocated; 10ms collecting garbage

Counts

21 → 52

Calls

Call 1

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

Calls

6 calls:

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

rewrite205.0ms (6.9%)

Memory

-8.5MiB live, 192.7MiB allocated; 121ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	190	1154
0	207	1130
1	1022	1129
0	8760	1129

Stop Event

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

Counts

73 → 292

Calls

Call 1

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

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

eval298.0ms (10%)

Memory

20.5MiB live, 542.8MiB allocated; 70ms collecting garbage

Samples

134.0ms	2 171×	0	valid
18.0ms	383×	0	invalid
1.0ms	6×	1	valid

Compiler

Compiled 11 166 to 1 593 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 42.0ms (48% of total)

ival-div: 27.0ms (30.9% of total)

ival-add: 15.0ms (17.2% of total)

ival-true: 2.0ms (2.3% of total)

adjust: 1.0ms (1.1% of total)

ival-assert: 1.0ms (1.1% of total)

prune37.0ms (1.2%)

Memory

-5.1MiB live, 87.6MiB allocated; 14ms collecting garbage

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	428	4	432
Fresh	1	1	2
Picked	1	4	5
Done	0	1	1
Total	430	10	440

Accuracy

100.0%

Counts

440 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.8%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	17.8%	(-.f64 #s(approx (exp (* a x)) (-.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64))) #s(literal 1 binary64))
✓	19.3%	(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 x a) #s(literal -1 binary64))) #s(literal 1 binary64))
✓	17.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	18.6%	(+.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
▶	42.1%	#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 a a)) x) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)))
▶	61.0%	#s(approx (- (exp (* a x)) 1) (.f64 (-.f64 x (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) a)) a))
▶	65.0%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal -1 binary64)) a) x))
✓	66.3%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))
▶	39.4%	#s(approx (- (exp (* a x)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (-.f64 (/.f64 a x) (.f64 #s(literal -1/2 binary64) (.f64 a a))) (.f64 x x))))

Compiler

Compiled 278 to 192 computations (30.9% saved)

series85.0ms (2.9%)

Memory

18.9MiB live, 174.5MiB allocated; 21ms collecting garbage

Counts

38 → 131

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	a	@	0	((- (exp (* a x)) 1) (* (* (- (* 1/2 (* x a)) -1) a) x) (* (- (* 1/2 (* x a)) -1) a) (- (* 1/2 (* x a)) -1) (* 1/2 (* x a)) 1/2 (* x a) x a -1 (- (exp (* a x)) 1) (* (- x (* (* -1/2 (* x x)) a)) a) (- x (* (* -1/2 (* x x)) a)) (* (* -1/2 (* x x)) a) (* -1/2 (* x x)) -1/2 (* x x) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (- (/ a x) (* -1/2 (* a a))) (/ a x) (* -1/2 (* a a)) (* a a) (- (exp (* a x)) 1) (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (pow (* (* (* a a) x) 1/2) 2) (* (* (* a a) x) 1/2) (* (* a a) x) 2 (- (* (* (* a a) x) 1/2) a) (+ (cosh (* x a)) (- (sinh (* x a)) 1)) (cosh (* x a)) (- (sinh (* x a)) 1) (sinh (* x a)) 1)
17.0ms	a	@	inf	((- (exp (* a x)) 1) (* (* (- (* 1/2 (* x a)) -1) a) x) (* (- (* 1/2 (* x a)) -1) a) (- (* 1/2 (* x a)) -1) (* 1/2 (* x a)) 1/2 (* x a) x a -1 (- (exp (* a x)) 1) (* (- x (* (* -1/2 (* x x)) a)) a) (- x (* (* -1/2 (* x x)) a)) (* (* -1/2 (* x x)) a) (* -1/2 (* x x)) -1/2 (* x x) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (- (/ a x) (* -1/2 (* a a))) (/ a x) (* -1/2 (* a a)) (* a a) (- (exp (* a x)) 1) (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (pow (* (* (* a a) x) 1/2) 2) (* (* (* a a) x) 1/2) (* (* a a) x) 2 (- (* (* (* a a) x) 1/2) a) (+ (cosh (* x a)) (- (sinh (* x a)) 1)) (cosh (* x a)) (- (sinh (* x a)) 1) (sinh (* x a)) 1)
15.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (* (- (* 1/2 (* x a)) -1) a) x) (* (- (* 1/2 (* x a)) -1) a) (- (* 1/2 (* x a)) -1) (* 1/2 (* x a)) 1/2 (* x a) x a -1 (- (exp (* a x)) 1) (* (- x (* (* -1/2 (* x x)) a)) a) (- x (* (* -1/2 (* x x)) a)) (* (* -1/2 (* x x)) a) (* -1/2 (* x x)) -1/2 (* x x) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (- (/ a x) (* -1/2 (* a a))) (/ a x) (* -1/2 (* a a)) (* a a) (- (exp (* a x)) 1) (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (pow (* (* (* a a) x) 1/2) 2) (* (* (* a a) x) 1/2) (* (* a a) x) 2 (- (* (* (* a a) x) 1/2) a) (+ (cosh (* x a)) (- (sinh (* x a)) 1)) (cosh (* x a)) (- (sinh (* x a)) 1) (sinh (* x a)) 1)
14.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (* (- (* 1/2 (* x a)) -1) a) x) (* (- (* 1/2 (* x a)) -1) a) (- (* 1/2 (* x a)) -1) (* 1/2 (* x a)) 1/2 (* x a) x a -1 (- (exp (* a x)) 1) (* (- x (* (* -1/2 (* x x)) a)) a) (- x (* (* -1/2 (* x x)) a)) (* (* -1/2 (* x x)) a) (* -1/2 (* x x)) -1/2 (* x x) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (- (/ a x) (* -1/2 (* a a))) (/ a x) (* -1/2 (* a a)) (* a a) (- (exp (* a x)) 1) (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (pow (* (* (* a a) x) 1/2) 2) (* (* (* a a) x) 1/2) (* (* a a) x) 2 (- (* (* (* a a) x) 1/2) a) (+ (cosh (* x a)) (- (sinh (* x a)) 1)) (cosh (* x a)) (- (sinh (* x a)) 1) (sinh (* x a)) 1)
9.0ms	x	@	0	((- (exp (* a x)) 1) (* (* (- (* 1/2 (* x a)) -1) a) x) (* (- (* 1/2 (* x a)) -1) a) (- (* 1/2 (* x a)) -1) (* 1/2 (* x a)) 1/2 (* x a) x a -1 (- (exp (* a x)) 1) (* (- x (* (* -1/2 (* x x)) a)) a) (- x (* (* -1/2 (* x x)) a)) (* (* -1/2 (* x x)) a) (* -1/2 (* x x)) -1/2 (* x x) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (- (/ a x) (* -1/2 (* a a))) (/ a x) (* -1/2 (* a a)) (* a a) (- (exp (* a x)) 1) (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (pow (* (* (* a a) x) 1/2) 2) (* (* (* a a) x) 1/2) (* (* a a) x) 2 (- (* (* (* a a) x) 1/2) a) (+ (cosh (* x a)) (- (sinh (* x a)) 1)) (cosh (* x a)) (- (sinh (* x a)) 1) (sinh (* x a)) 1)

rewrite188.0ms (6.3%)

Memory

-0.1MiB live, 218.2MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	555	4405
0	607	3857
1	3320	3811
0	8074	3805

Stop Event

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

Counts

169 → 360

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal -1 binary64)) (.f64 x a)))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal -1 binary64)) a) x)
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal -1 binary64)) (.f64 x a))
(.f64 x (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal -1 binary64)) a))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal -1 binary64)) a)
(.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal -1 binary64)))
(-.f64 (ratio-square-sum.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 3 binary64)) (+.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal -1 binary64))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) a)
(.f64 (.f64 #s(literal 1/2 binary64) a) x)
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#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (-.f64 (.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 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) a) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) x) a))
#s(approx (* (* (- (* 1/2 (* x a)) -1) a) x) (*.f64 x a))
#s(approx (* (* (- (* 1/2 (* x a)) -1) a) x) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) x) a))
#s(approx (* (- (* 1/2 (* x a)) -1) a) a)
#s(approx (* (- (* 1/2 (* x a)) -1) a) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal 1 binary64)) a))
#s(approx (- (* 1/2 (* x a)) -1) #s(literal 1 binary64))
#s(approx (- (* 1/2 (* x a)) -1) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 1 binary64)))
#s(approx (* 1/2 (* x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a)))
#s(approx (* x a) (*.f64 x a))
#s(approx a a)
#s(approx (* (- x (* (* -1/2 (* x x)) a)) a) (*.f64 x a))
#s(approx (* (- x (* (* -1/2 (* x x)) a)) a) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) x) a))
#s(approx (- x (* (* -1/2 (* x x)) a)) x)
#s(approx (- x (* (* -1/2 (* x x)) a)) (+.f64 (.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x))
#s(approx (* (* -1/2 (* x x)) a) (.f64 (.f64 #s(literal -1/2 binary64) a) (*.f64 x x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 x a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) x) a))
#s(approx (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (*.f64 x a))
#s(approx (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) x) a))
#s(approx (- (/ a x) (* -1/2 (* a a))) (/.f64 a x))
#s(approx (- (/ a x) (* -1/2 (* a a))) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) a)) a))
#s(approx (/ a x) (/.f64 a x))
#s(approx (* -1/2 (* a a)) (.f64 (.f64 a a) #s(literal -1/2 binary64)))
#s(approx (* a a) (*.f64 a a))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) (*.f64 x a))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) x) a))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (neg.f64 (.f64 (.f64 a a) x)))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (.f64 (+.f64 (neg.f64 x) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 a a)))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (*.f64 a a)))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (.f64 (-.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 a a)))
#s(approx (pow (* (* (* a a) x) 1/2) 2) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 x x)))
#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) x) 1/2) a) (neg.f64 a))
#s(approx (- (* (* (* a a) x) 1/2) a) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal 1 binary64)) a))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) (-.f64 x (neg.f64 x))))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x))) a) (*.f64 (-.f64 x (neg.f64 x)) #s(literal 1/2 binary64))) a))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x))) (.f64 (+.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) a)) a) (*.f64 (-.f64 x (neg.f64 x)) #s(literal 1/2 binary64))) a))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x))) (.f64 (+.f64 (+.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (.f64 (-.f64 (.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/2 binary64))))) (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (.f64 (neg.f64 x) (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))) a)) a)) a) (.f64 (-.f64 x (neg.f64 x)) #s(literal 1/2 binary64))) a))
#s(approx (cosh (* x a)) #s(literal 1 binary64))
#s(approx (cosh (* x a)) (+.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cosh (* x a)) (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 a a)) #s(literal 1 binary64)))
#s(approx (cosh (* x a)) (+.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/2 binary64))))) (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) a) (-.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))))) a) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 a a)) #s(literal 1 binary64)))
#s(approx (- (sinh (* x a)) 1) #s(literal -1 binary64))
#s(approx (- (sinh (* x a)) 1) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) (-.f64 x (neg.f64 x))) #s(literal 1 binary64)))
#s(approx (- (sinh (* x a)) 1) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) (-.f64 x (neg.f64 x)))) a) #s(literal 1 binary64)))
#s(approx (- (sinh (* x a)) 1) (-.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) a) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) a) (.f64 (-.f64 x (neg.f64 x)) #s(literal 1/2 binary64))) a) #s(literal 1 binary64)))
#s(approx (sinh (* x a)) (.f64 (.f64 #s(literal 1/2 binary64) a) (-.f64 x (neg.f64 x))))
#s(approx (sinh (* x a)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) (-.f64 x (neg.f64 x)))) a))
#s(approx (sinh (* x a)) (.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) a) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) a) (.f64 (-.f64 x (neg.f64 x)) #s(literal 1/2 binary64))) a))
#s(approx (sinh (* x a)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (.f64 (neg.f64 x) (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) a) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))) a) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) a) (.f64 (-.f64 x (neg.f64 x)) #s(literal 1/2 binary64))) a))
#s(approx (- (exp (* a x)) 1) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))
#s(approx (* (* (- (* 1/2 (* x a)) -1) a) x) (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* (- (* 1/2 (* x a)) -1) a) x) (.f64 (-.f64 (/.f64 x a) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 a a)))
#s(approx (* (- (* 1/2 (* x a)) -1) a) (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))
#s(approx (* (- (* 1/2 (* x a)) -1) a) (+.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a))
#s(approx (- (* 1/2 (* x a)) -1) (.f64 #s(literal 1/2 binary64) (.f64 x a)))
#s(approx (- (* 1/2 (* x a)) -1) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 1 binary64)))
#s(approx (* (- x (* (* -1/2 (* x x)) a)) a) (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (- x (* (* -1/2 (* x x)) a)) a) (.f64 (-.f64 (/.f64 x a) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 a a)))
#s(approx (- x (* (* -1/2 (* x x)) a)) (.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))
#s(approx (- x (* (* -1/2 (* x x)) a)) (.f64 (-.f64 (/.f64 x a) (.f64 (*.f64 x x) #s(literal -1/2 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 (/.f64 x a) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 a a)))
#s(approx (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (.f64 (-.f64 (/.f64 x a) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 a a)))
#s(approx (- (/ a x) (* -1/2 (* a a))) (.f64 (.f64 a a) #s(literal 1/2 binary64)))
#s(approx (- (/ a x) (* -1/2 (* a a))) (.f64 (+.f64 (pow.f64 (.f64 x a) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 a a)))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) (.f64 (-.f64 (/.f64 x a) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 a a)))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (.f64 (-.f64 (/.f64 (neg.f64 x) (.f64 a a)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 a #s(literal -2 binary64))) (pow.f64 a #s(literal 4 binary64))))
#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 #s(literal 1/2 binary64) x) (pow.f64 a #s(literal -1 binary64))) (*.f64 a a)))
#s(approx (- (exp (* a x)) 1) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) #s(literal 1 binary64)))
#s(approx (cosh (* x a)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 1/2 binary64)))
#s(approx (- (sinh (* x a)) 1) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (sinh (* x a)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 1/2 binary64)))
#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 (- x (* (* -1/2 (* x x)) a)) (.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 x) a) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (-.f64 (.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 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.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) a) x) (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (* (- (* 1/2 (* x a)) -1) a) (+.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a))
#s(approx x x)
#s(approx (* (- x (* (* -1/2 (* x x)) a)) a) (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (- x (* (* -1/2 (* x x)) a)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal 1 binary64)) x))
#s(approx (* -1/2 (* x x)) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (- (/ a x) (* -1/2 (* a a))) (/.f64 (+.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (.f64 (-.f64 (neg.f64 (.f64 a a)) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (*.f64 a a) x) #s(literal 2 binary64)))) x))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (-.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 x x)) (.f64 a a)))
#s(approx (- (* (* (* a a) x) 1/2) a) (-.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 a (neg.f64 a))))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (.f64 a a))) x) (*.f64 (-.f64 a (neg.f64 a)) #s(literal 1/2 binary64))) x))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (.f64 a a))) (.f64 (+.f64 (.f64 (-.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (+.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal -1/2 binary64))) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) x)) x) (*.f64 (-.f64 a (neg.f64 a)) #s(literal 1/2 binary64))) x))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (.f64 a a))) (.f64 (+.f64 (+.f64 (.f64 (-.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (+.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal -1/2 binary64))) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (.f64 (-.f64 (.f64 (+.f64 (+.f64 (.f64 (neg.f64 a) (+.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/3 binary64)) (.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal -1/2 binary64))))) (pow.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64)) (.f64 (neg.f64 a) (+.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal 1/2 binary64)))))) (+.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) (.f64 (.f64 a a) #s(literal 1/2 binary64))))))) x)) x)) x) (.f64 (-.f64 a (neg.f64 a)) #s(literal 1/2 binary64))) x))
#s(approx (cosh (* x a)) (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal -1/2 binary64))) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a a) #s(literal -1/2 binary64))) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (cosh (* x a)) (+.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (+.f64 (+.f64 (.f64 (neg.f64 a) (+.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/3 binary64)) (.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal -1/2 binary64))))) (pow.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 4 binary64)))) x) (-.f64 (.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal -1/2 binary64))) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/2 binary64))))) x) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (- (sinh (* x a)) 1) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 a (neg.f64 a))) #s(literal 1 binary64)))
#s(approx (- (sinh (* x a)) 1) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x) (-.f64 a (neg.f64 a)))) x) #s(literal 1 binary64)))
#s(approx (- (sinh (* x a)) 1) (-.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (+.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal 1/2 binary64))))) x) (-.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (.f64 a a) #s(literal 1/2 binary64))))) x) (.f64 (-.f64 a (neg.f64 a)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (sinh (* x a)) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 a (neg.f64 a))))
#s(approx (sinh (* x a)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x) (-.f64 a (neg.f64 a)))) x))
#s(approx (sinh (* x a)) (.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (+.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal 1/2 binary64))))) x) (-.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (.f64 a a) #s(literal 1/2 binary64))))) x) (.f64 (-.f64 a (neg.f64 a)) #s(literal 1/2 binary64))) x))
#s(approx (sinh (* x a)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64)) (.f64 (neg.f64 a) (+.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal 1/2 binary64)))))) (+.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) (.f64 (.f64 a a) #s(literal 1/2 binary64))))) x) (-.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (+.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal 1/2 binary64))))))) x) (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (.f64 a a) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) x) (.f64 (-.f64 a (neg.f64 a)) #s(literal 1/2 binary64))) x))
#s(approx (* (* (- (* 1/2 (* x a)) -1) a) x) (.f64 (-.f64 (/.f64 a x) (.f64 (.f64 a a) #s(literal -1/2 binary64))) (.f64 x x)))
#s(approx (* (- (* 1/2 (* x a)) -1) a) (.f64 (-.f64 (/.f64 a x) (.f64 (*.f64 a a) #s(literal -1/2 binary64))) x))
#s(approx (- (* 1/2 (* x a)) -1) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 1 binary64)))
#s(approx (* (- x (* (* -1/2 (* x x)) a)) a) (.f64 (-.f64 (/.f64 a x) (.f64 (.f64 a a) #s(literal -1/2 binary64))) (.f64 x x)))
#s(approx (- x (* (* -1/2 (* x x)) a)) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) a)) (*.f64 x x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (-.f64 (/.f64 a x) (.f64 (.f64 a a) #s(literal -1/2 binary64))) (.f64 x x)))
#s(approx (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (.f64 (-.f64 (/.f64 a x) (.f64 (.f64 a a) #s(literal -1/2 binary64))) (.f64 x x)))
#s(approx (- (/ a x) (* -1/2 (* a a))) (-.f64 (/.f64 a x) (.f64 (.f64 a a) #s(literal -1/2 binary64))))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) (.f64 (-.f64 (/.f64 a x) (.f64 (.f64 a a) #s(literal -1/2 binary64))) (.f64 x x)))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (.f64 (-.f64 (neg.f64 (ratio-of-squares.f64 a x)) (.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (.f64 (-.f64 (neg.f64 (ratio-of-squares.f64 a x)) (.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 x x)))
#s(approx (- (* (* (* a a) x) 1/2) a) (.f64 (-.f64 (/.f64 (neg.f64 a) x) (.f64 (*.f64 a a) #s(literal -1/2 binary64))) x))
#s(approx (* (- (* 1/2 (* x a)) -1) a) (.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 a) x) (.f64 (*.f64 a a) #s(literal 1/2 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)))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (ratio-of-squares.f64 a x))))
#s(approx (- (* (* (* a a) x) 1/2) a) (.f64 (neg.f64 x) (+.f64 (.f64 (*.f64 a a) #s(literal -1/2 binary64)) (/.f64 a x))))

eval297.0ms (10%)

Memory

10.8MiB live, 298.6MiB allocated; 87ms collecting garbage

Samples

137.0ms	1 914×	0	valid
26.0ms	646×	0	invalid

Compiler

Compiled 16 999 to 2 232 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 28.0ms (45.9% of total)

ival-div: 18.0ms (29.5% of total)

ival-add: 11.0ms (18% of total)

ival-true: 2.0ms (3.3% of total)

adjust: 1.0ms (1.6% of total)

ival-assert: 1.0ms (1.6% of total)

prune46.0ms (1.6%)

Memory

10.5MiB live, 56.5MiB allocated; 16ms collecting garbage

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	497	2	499
Fresh	0	0	0
Picked	1	4	5
Done	0	5	5
Total	498	11	509

Accuracy

100.0%

Counts

509 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.8%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	17.8%	(-.f64 #s(approx (exp (* a x)) (-.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64))) #s(literal 1 binary64))
✓	19.3%	(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 x a) #s(literal -1 binary64))) #s(literal 1 binary64))
✓	17.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	18.6%	(+.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
▶	44.3%	#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (.f64 a a))) x) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)))
✓	61.0%	#s(approx (- (exp (* a x)) 1) (.f64 (-.f64 x (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) a)) a))
✓	65.0%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal -1 binary64)) a) x))
✓	66.3%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))
✓	39.4%	#s(approx (- (exp (* a x)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (-.f64 (/.f64 a x) (.f64 #s(literal -1/2 binary64) (.f64 a a))) (.f64 x x))))
▶	40.2%	#s(approx (- (exp (* a x)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 #s(approx (- (/ a x) ( -1/2 (* a a))) (/.f64 a x)) (*.f64 x x))))

Compiler

Compiled 208 to 147 computations (29.3% saved)

series18.0ms (0.6%)

Memory

-8.0MiB live, 38.5MiB allocated; 4ms collecting garbage

Counts

18 → 60

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 #s(approx (- (/ a x) ( -1/2 (* a a))) (/.f64 a x)) (*.f64 x x))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 #s(approx (- (/ a x) ( -1/2 (* a a))) (/.f64 a x)) (*.f64 x x)))
(.f64 #s(approx (- (/ a x) ( -1/2 (* a a))) (/.f64 a x)) (*.f64 x x))
#s(approx (- (/ a x) (* -1/2 (* a a))) (/.f64 a x))
(/.f64 a x)
a
x
(*.f64 x x)
#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (.f64 a a))) x) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)))
(/.f64 (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (.f64 a a))) x) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a))
(.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (*.f64 a a))) x)
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (*.f64 a a)))
(neg.f64 (*.f64 a a))
(*.f64 a a)
(-.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a)
(.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(.f64 (.f64 a a) x)
#s(literal 1/2 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 (* (+ (* (* (* 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 x) (* -1/2 (* a a))) (* x x)) #s(hole binary64 (* a x)))
#s(approx (* (- (/ a x) (* -1/2 (* a a))) (* x x)) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (/ a x) (* -1/2 (* a a))) #s(hole binary64 (/ a x)))
#s(approx (- (/ a x) (* -1/2 (* a a))) #s(hole binary64 (* a (+ (* 1/2 a) (/ 1 x)))))
#s(approx (/ a x) #s(hole binary64 (/ a x)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) #s(hole binary64 (* a x)))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) #s(hole binary64 (* -1 (* (pow a 2) x))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) #s(hole binary64 (* (pow a 2) (+ (* -1 x) (* 1/4 (* (pow a 2) (pow x 3)))))))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) #s(hole binary64 (* (pow a 2) (- (* 1/4 (* (pow a 2) (pow x 2))) 1))))
#s(approx (neg (* a a)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 a)))
#s(approx (- (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (- (* 1/2 (* a x)) 1))))
#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 (- (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 x) (* -1/2 (* a a))) (* x x)) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (- (/ a x) (* -1/2 (* a a))) (* x x)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (- (/ a x) (* -1/2 (* a a))) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (- (/ a x) (* -1/2 (* a a))) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (* a x))))))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) #s(hole binary64 (* 1/4 (* (pow a 4) (pow x 3)))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) #s(hole binary64 (* (pow a 4) (+ (* -1 (/ x (pow a 2))) (* 1/4 (pow x 3))))))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) #s(hole binary64 (* 1/4 (* (pow a 4) (pow x 2)))))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) #s(hole binary64 (* (pow a 4) (- (* 1/4 (pow x 2)) (/ 1 (pow a 2))))))
#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 (- (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 x) (* -1/2 (* a a))) (* x x)) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (/ a x) (* -1/2 (* a a))) #s(hole binary64 (/ (+ a (* 1/2 (* (pow a 2) x))) x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) #s(hole binary64 (* x (+ (* -1 (pow a 2)) (* 1/4 (* (pow a 4) (pow x 2)))))))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) #s(hole binary64 (- (* 1/4 (* (pow a 4) (pow x 2))) (pow a 2))))
#s(approx (- (* (* (* a a) x) 1/2) a) #s(hole binary64 (- (* 1/2 (* (pow a 2) x)) a)))
#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 x) (* -1/2 (* a a))) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (- (/ a x) (* -1/2 (* a a))) #s(hole binary64 (- (/ a x) (* -1/2 (pow a 2)))))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) #s(hole binary64 (* (pow x 3) (+ (* -1 (/ (pow a 2) (pow x 2))) (* 1/4 (pow a 4))))))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (pow a 2) (pow x 2))) (* 1/4 (pow a 4))))))
#s(approx (- (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* -1 (/ a x)) (* 1/2 (pow a 2))))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/4 (pow a 4)) (/ (pow a 2) (pow x 2)))))))
#s(approx (- (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1/2 (pow a 2)) (/ a x))))))

Calls

6 calls:

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

rewrite155.0ms (5.2%)

Memory

-37.6MiB live, 271.4MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	1591
0	236	1485
1	1061	1472
0	8698	1466

Stop Event

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

Counts

78 → 200

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 #s(approx (- (/ a x) ( -1/2 (* a a))) (/.f64 a x)) (*.f64 x x))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 #s(approx (- (/ a x) ( -1/2 (* a a))) (/.f64 a x)) (*.f64 x x)))
(.f64 #s(approx (- (/ a x) ( -1/2 (* a a))) (/.f64 a x)) (*.f64 x x))
#s(approx (- (/ a x) (* -1/2 (* a a))) (/.f64 a x))
(/.f64 a x)
a
x
(*.f64 x x)
#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (.f64 a a))) x) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)))
(/.f64 (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (.f64 a a))) x) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a))
(.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (*.f64 a a))) x)
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (*.f64 a a)))
(neg.f64 (*.f64 a a))
(*.f64 a a)
(-.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a)
(.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(.f64 (.f64 a a) x)
#s(literal 1/2 binary64)
#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 x) (* -1/2 (* a a))) (* x x)) #s(hole binary64 (* a x)))
#s(approx (* (- (/ a x) (* -1/2 (* a a))) (* x x)) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (/ a x) (* -1/2 (* a a))) #s(hole binary64 (/ a x)))
#s(approx (- (/ a x) (* -1/2 (* a a))) #s(hole binary64 (* a (+ (* 1/2 a) (/ 1 x)))))
#s(approx (/ a x) #s(hole binary64 (/ a x)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) #s(hole binary64 (* a x)))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) #s(hole binary64 (* -1 (* (pow a 2) x))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) #s(hole binary64 (* (pow a 2) (+ (* -1 x) (* 1/4 (* (pow a 2) (pow x 3)))))))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) #s(hole binary64 (* (pow a 2) (- (* 1/4 (* (pow a 2) (pow x 2))) 1))))
#s(approx (neg (* a a)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 a)))
#s(approx (- (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (- (* 1/2 (* a x)) 1))))
#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 (- (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 x) (* -1/2 (* a a))) (* x x)) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (- (/ a x) (* -1/2 (* a a))) (* x x)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (- (/ a x) (* -1/2 (* a a))) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (- (/ a x) (* -1/2 (* a a))) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (* a x))))))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) #s(hole binary64 (* 1/4 (* (pow a 4) (pow x 3)))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) #s(hole binary64 (* (pow a 4) (+ (* -1 (/ x (pow a 2))) (* 1/4 (pow x 3))))))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) #s(hole binary64 (* 1/4 (* (pow a 4) (pow x 2)))))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) #s(hole binary64 (* (pow a 4) (- (* 1/4 (pow x 2)) (/ 1 (pow a 2))))))
#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 (- (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 x) (* -1/2 (* a a))) (* x x)) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (/ a x) (* -1/2 (* a a))) #s(hole binary64 (/ (+ a (* 1/2 (* (pow a 2) x))) x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) #s(hole binary64 (* x (+ (* -1 (pow a 2)) (* 1/4 (* (pow a 4) (pow x 2)))))))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) #s(hole binary64 (- (* 1/4 (* (pow a 4) (pow x 2))) (pow a 2))))
#s(approx (- (* (* (* a a) x) 1/2) a) #s(hole binary64 (- (* 1/2 (* (pow a 2) x)) a)))
#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 x) (* -1/2 (* a a))) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (- (/ a x) (* -1/2 (* a a))) #s(hole binary64 (- (/ a x) (* -1/2 (pow a 2)))))
#s(approx (/ (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (- (* (* (* a a) x) 1/2) a)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) #s(hole binary64 (* (pow x 3) (+ (* -1 (/ (pow a 2) (pow x 2))) (* 1/4 (pow a 4))))))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (pow a 2) (pow x 2))) (* 1/4 (pow a 4))))))
#s(approx (- (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* -1 (/ a x)) (* 1/2 (pow a 2))))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/4 (pow a 4)) (/ (pow a 2) (pow x 2)))))))
#s(approx (- (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1/2 (pow a 2)) (/ a x))))))

Outputs
#s(approx (- (exp (* a x)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (.f64 x x) #s(approx (- (/ a x) (* -1/2 (* a a))) (/.f64 a x)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (.f64 x x) #s(approx (- (/ a x) (* -1/2 (* a a))) (/.f64 a x))))
(.f64 (.f64 #s(approx (- (/ a x) (* -1/2 (* a a))) (/.f64 a x)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(approx (- (/ a x) (* -1/2 (* a a))) (/.f64 a x)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(approx (- (/ a x) (* -1/2 (* a a))) (/.f64 a x)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(approx (- (/ a x) (* -1/2 (* a a))) (/.f64 a x))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(approx (- (/ a x) (* -1/2 (* a a))) (/.f64 a x))))
(.f64 (.f64 x x) #s(approx (- (/ a x) (* -1/2 (* a a))) (/.f64 a x)))
(.f64 #s(approx (- (/ a x) ( -1/2 (* a a))) (/.f64 a x)) (*.f64 x x))
(.f64 x (.f64 x #s(approx (- (/ a x) (* -1/2 (* a a))) (/.f64 a x))))
#s(approx (- (/ a x) (* -1/2 (* a a))) (/.f64 a x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) a)
(*.f64 (/.f64 a x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 a x))
(*.f64 a (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) x)
(/.f64 (*.f64 a #s(literal 1 binary64)) x)
(/.f64 (*.f64 #s(literal 1 binary64) a) x)
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 a) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 a) x) #s(literal -1 binary64))
(/.f64 a x)
(neg.f64 (/.f64 (neg.f64 a) x))
a
x
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal -1 binary64) (neg.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))
(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 (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (.f64 (neg.f64 a) a)) x) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (.f64 (neg.f64 a) a)) x) (-.f64 (pow.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (.f64 a (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)) (.f64 (.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x)))
(.f64 (/.f64 (.f64 #s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (.f64 (neg.f64 a) a)) x) (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x) (.f64 a a))) (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a))
(.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (.f64 (neg.f64 a) a)) (/.f64 x (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)))
(.f64 x (/.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (.f64 (neg.f64 a) a)) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)))
(/.f64 (neg.f64 (.f64 (neg.f64 x) #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (.f64 (neg.f64 a) a)))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a))))
(/.f64 (.f64 (neg.f64 x) #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (.f64 (neg.f64 a) a))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)))
(/.f64 (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (.f64 (neg.f64 a) a)) x) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a))
(neg.f64 (/.f64 (.f64 (neg.f64 x) #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (.f64 (neg.f64 a) a))) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)))
(neg.f64 (/.f64 (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (.f64 (neg.f64 a) a)) x) (neg.f64 (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a))))
(.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (*.f64 (neg.f64 a) a)) x)
(.f64 x #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (*.f64 (neg.f64 a) a)))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (*.f64 (neg.f64 a) a))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 a)) (neg.f64 a))
(.f64 (.f64 #s(literal -1 binary64) (fabs.f64 a)) (fabs.f64 a))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a))
(*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a))
(.f64 (neg.f64 a) (.f64 (neg.f64 a) #s(literal -1 binary64)))
(*.f64 (neg.f64 a) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 a) a)
(.f64 (fabs.f64 a) (.f64 (fabs.f64 a) #s(literal -1 binary64)))
(*.f64 (fabs.f64 a) (neg.f64 (fabs.f64 a)))
(.f64 (.f64 a a) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 a a))
(*.f64 a (neg.f64 a))
(neg.f64 (*.f64 a a))
(.f64 (.f64 (neg.f64 a) #s(literal -1 binary64)) 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 (.f64 (neg.f64 a) a) #s(literal -1 binary64))
(.f64 (.f64 a a) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 a) a))
(.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))
(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)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x) (.f64 a a)) (-.f64 (.f64 a a) (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x))) (-.f64 a (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x) (.f64 a a)) (+.f64 (pow.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (-.f64 (+.f64 (.f64 a a) (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x) (.f64 a a)) (+.f64 (pow.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (.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 (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x) (.f64 a a)) (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x) (.f64 a a))) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 a (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)) (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x) (.f64 a a))) (neg.f64 (+.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (.f64 (+.f64 (.f64 a a) (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x)) (+.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (.f64 a (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)) (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x) (.f64 a a)) (+.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (.f64 a (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)) (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (.f64 a (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)) (.f64 (.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x))))
(-.f64 (ratio-square-sum.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) (ratio-square-sum.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 (ratio-square-sum.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) (/.f64 (.f64 (neg.f64 a) a) (+.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (.f64 (*.f64 a a) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.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) x) (*.f64 a a))
(.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(.f64 (.f64 a a) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(.f64 (.f64 a a) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(literal 1/2 binary64) a) (*.f64 x a))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (*.f64 a a) x) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x))
(.f64 x (.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(.f64 a (.f64 (*.f64 #s(literal 1/2 binary64) a) x))
(pow.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal -1/2 binary64)))
(neg.f64 (.f64 (.f64 (*.f64 a a) #s(literal -1/2 binary64)) x))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64))) #s(literal 1 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 x a) a)
(.f64 x (.f64 a a))
(.f64 a (.f64 x a))
#s(literal 1/2 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) a))) a) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (.f64 #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) a))) a) (.f64 #s(literal -1/2 binary64) (.f64 x x))) 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 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (*.f64 x a))
#s(approx (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (- (/ a x) (* -1/2 (* a a))) (/.f64 a x))
#s(approx (- (/ a x) (* -1/2 (* a a))) (-.f64 (/.f64 a x) (.f64 (.f64 a a) #s(literal -1/2 binary64))))
#s(approx (/ a x) (/.f64 a x))
#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 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (.f64 (.f64 (neg.f64 a) x) a))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x) (*.f64 a a)) x))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (*.f64 (neg.f64 a) a))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) a) a))
#s(approx (neg (* a a)) (*.f64 (neg.f64 a) a))
#s(approx (* a a) (*.f64 a a))
#s(approx (- (* (* (* a a) x) 1/2) a) (neg.f64 a))
#s(approx (- (* (* (* a a) x) 1/2) a) (.f64 (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) a) x) #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 (- (exp (* a x)) 1) (-.f64 (pow.f64 (exp.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 (/.f64 x a) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 a a)))
#s(approx (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (.f64 (-.f64 (/.f64 x a) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 a a)))
#s(approx (- (/ a x) (* -1/2 (* a a))) (.f64 (.f64 a a) #s(literal 1/2 binary64)))
#s(approx (- (/ a x) (* -1/2 (* a a))) (.f64 (.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) #s(literal 1/2 binary64)) a) 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 (/.f64 x a) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 a a)))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 x a) a)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (.f64 (.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 a #s(literal -2 binary64))) (pow.f64 a #s(literal 4 binary64))))
#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 #s(literal 1/2 binary64) x) (pow.f64 a #s(literal -1 binary64))) (*.f64 a a)))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (-.f64 (.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 (+.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (.f64 #s(literal -1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x))) x) (.f64 (.f64 a a) #s(literal -1/2 binary64))) x) a) x))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (- (/ a x) (* -1/2 (* a a))) (/.f64 (+.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x) (*.f64 a a)) x))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) x) (.f64 a a)))
#s(approx (- (* (* (* a a) x) 1/2) a) (-.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (.f64 x x) (-.f64 (/.f64 a x) (.f64 (.f64 a a) #s(literal -1/2 binary64)))))
#s(approx (* (- (/ a x) (* -1/2 (* a a))) (* x x)) (.f64 (.f64 x x) (-.f64 (/.f64 a x) (.f64 (.f64 a a) #s(literal -1/2 binary64)))))
#s(approx (- (/ a x) (* -1/2 (* a a))) (-.f64 (/.f64 a x) (.f64 (.f64 a a) #s(literal -1/2 binary64))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (.f64 x x) (-.f64 (/.f64 a x) (.f64 (.f64 a a) #s(literal -1/2 binary64)))))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (.f64 (-.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) (ratio-of-squares.f64 a x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) (.f64 (-.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)) (ratio-of-squares.f64 a x)) (*.f64 x x)))
#s(approx (- (* (* (* a a) x) 1/2) a) (.f64 (-.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) (/.f64 a x)) x))
#s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (ratio-of-squares.f64 a x) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
#s(approx (- (* (* (* a a) x) 1/2) a) (.f64 (-.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) (/.f64 a x)) x))

eval69.0ms (2.3%)

Memory

-3.7MiB live, 135.0MiB allocated; 13ms collecting garbage

Samples

25.0ms	638×	0	valid
5.0ms	130×	0	invalid

Compiler

Compiled 9 129 to 1 063 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 7.0ms (47.7% of total)

ival-div: 4.0ms (27.3% of total)

ival-add: 2.0ms (13.6% of total)

ival-true: 1.0ms (6.8% of total)

adjust: 0.0ms (0% of total)

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

prune15.0ms (0.5%)

Memory

38.2MiB live, 38.2MiB allocated; 0ms collecting garbage

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	220	7	227
Fresh	0	0	0
Picked	1	1	2
Done	0	9	9
Total	221	17	238

Accuracy

100.0%

Counts

238 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.8%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	17.8%	(-.f64 #s(approx (exp (* a x)) (-.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64))) #s(literal 1 binary64))
✓	19.3%	(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 x a) #s(literal -1 binary64))) #s(literal 1 binary64))
✓	17.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	18.6%	(+.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
	44.5%	#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (.f64 a a))) x) #s(approx (- ( (* (* a a) x) 1/2) a) (.f64 (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) a) x) #s(literal 1 binary64)) a))))
	3.5%	#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (.f64 a a))) x) #s(approx (- ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))))
	43.2%	#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (.f64 a a))) x) #s(approx (- ( (* (* a a) x) 1/2) a) (neg.f64 a))))
	48.0%	#s(approx (- (exp (* a x)) 1) (/.f64 #s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (.f64 (.f64 (neg.f64 a) x) a)) (-.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a)))
✓	61.0%	#s(approx (- (exp (* a x)) 1) (.f64 (-.f64 x (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) a)) a))
✓	65.0%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal -1 binary64)) a) x))
	42.6%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (.f64 (neg.f64 a) a)) (/.f64 x (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a))))
	47.1%	#s(approx (- (exp (* a x)) 1) (.f64 x (/.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (.f64 (neg.f64 a) a)) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a))))
✓	66.3%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))
✓	39.4%	#s(approx (- (exp (* a x)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (-.f64 (/.f64 a x) (.f64 #s(literal -1/2 binary64) (.f64 a a))) (.f64 x x))))
✓	40.2%	#s(approx (- (exp (* a x)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 #s(approx (- (/ a x) ( -1/2 (* a a))) (/.f64 a x)) (*.f64 x x))))
	40.1%	#s(approx (- (exp (* a x)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 #s(approx (- (/ a x) ( -1/2 (* a a))) (.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (.f64 x x))))

Compiler

Compiled 1 025 to 421 computations (58.9% saved)

regimes29.0ms (1%)

Memory

1.4MiB live, 51.5MiB allocated; 6ms collecting garbage

Counts

21 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 x a) #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 #s(approx (- (/ a x) ( -1/2 (* a a))) (/.f64 a x)) (*.f64 x x))))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal -1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (-.f64 x (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) a)) a))
#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (.f64 a a))) x) #s(approx (- ( (* (* a a) x) 1/2) a) (neg.f64 a))))
(-.f64 #s(approx (exp (* a x)) (-.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (-.f64 (/.f64 a x) (.f64 #s(literal -1/2 binary64) (.f64 a a))) (.f64 x x))))
#s(approx (- (exp (* a x)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 #s(approx (- (/ a x) ( -1/2 (* a a))) (.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (.f64 x x))))
#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (.f64 a a))) x) #s(approx (- ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))))
#s(approx (- (exp (* a x)) 1) (.f64 x (/.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (.f64 (neg.f64 a) a)) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a))))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (.f64 (neg.f64 a) a)) (/.f64 x (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a))))
#s(approx (- (exp (* a x)) 1) (/.f64 #s(approx (* (- (pow (* (* (* a a) x) 1/2) 2) (* a a)) x) (.f64 (.f64 (neg.f64 a) x) a)) (-.f64 (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a)))
#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (.f64 a a))) x) #s(approx (- ( (* (* a a) x) 1/2) a) (.f64 (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) a) x) #s(literal 1 binary64)) a))))
#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 #s(approx (- (pow ( (* (* a a) x) 1/2) 2) (* a a)) (neg.f64 (.f64 a a))) x) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) a))) a) x) a))
#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 a a)) x) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a)))
(+.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))

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

Calls

5 calls:

8.0ms	x
6.0ms	a
5.0ms	(*.f64 a x)
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
99.4%	2	`(*.f64 a x)`
99.4%	2	`(exp.f64 (*.f64 a x))`
99.4%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
79.7%	2	`a`
76.3%	2	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes23.0ms (0.8%)

Memory

-2.6MiB live, 44.3MiB allocated; 1ms collecting garbage

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
66.3%	1	`x`
66.3%	1	`a`
66.3%	1	`(*.f64 a x)`
66.3%	1	`(exp.f64 (*.f64 a x))`
66.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes7.0ms (0.2%)

Memory

-31.3MiB live, 14.5MiB allocated; 3ms 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
1.0ms	x
1.0ms	(*.f64 a x)
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
17.9%	1	`x`
17.9%	1	`(*.f64 a x)`
17.9%	1	`a`
17.9%	1	`(exp.f64 (*.f64 a x))`
17.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.08240354218295931	-1.3322676295501878e-15

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify46.0ms (1.5%)

Memory

22.1MiB live, 68.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	51
1	36	51
2	60	51
3	120	51
4	362	51
5	2747	51

Stop Event

1×	node limit

Calls

Call 1

Inputs

(if (<=.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal -3602879701896397/72057594037927936 binary64)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal -1 binary64)) a) x)))

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

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

Outputs

(if (<=.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal -3602879701896397/72057594037927936 binary64)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal -1 binary64)) a) x)))

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

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

derivations53.0ms (1.8%)

Memory

-12.0MiB live, 38.8MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 51 to 24 computations (52.9% saved)

preprocess18.0ms (0.6%)

Memory: 27.7MiB live, 27.7MiB allocated; 0ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 180 to 102 computations (43.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze21.0ms (0.7%)

sample784.0ms (26.3%)

explain142.0ms (4.7%)

preprocess202.0ms (6.8%)

eval0.0ms (0%)

prune1.0ms (0%)

series9.0ms (0.3%)

rewrite171.0ms (5.7%)

eval39.0ms (1.3%)

prune5.0ms (0.2%)

series18.0ms (0.6%)

rewrite205.0ms (6.9%)

eval298.0ms (10%)

prune37.0ms (1.2%)

series85.0ms (2.9%)

rewrite188.0ms (6.3%)

eval297.0ms (10%)

prune46.0ms (1.6%)

series18.0ms (0.6%)

rewrite155.0ms (5.2%)

eval69.0ms (2.3%)

prune15.0ms (0.5%)

regimes29.0ms (1%)

regimes23.0ms (0.8%)

regimes7.0ms (0.2%)

bsearch0.0ms (0%)

simplify46.0ms (1.5%)

derivations53.0ms (1.8%)

preprocess18.0ms (0.6%)

end0.0ms (0%)

Profiling