Metrics for Kahan's exp quotient

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample713.0ms (25.6%)

Memory

15.5MiB live, 707.5MiB allocated; 179ms collecting garbage

Samples

438.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-div: 125.0ms (63.9% of total)

ival-expm1: 67.0ms (34.3% of total)

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

adjust: 2.0ms (1% of total)

Bogosity

explain95.0ms (3.4%)

Memory

10.8MiB live, 119.4MiB allocated; 48ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
138	-	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(exp.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	138	0

Confusion

	Predicted +	Predicted -
+	138	0
-	0	118

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	138	0	0
-	0	0	118

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	118
1	138

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms

512×

valid

Compiler

Compiled 38 to 19 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-expm1: 35.0ms (79.7% of total)

ival-div: 4.0ms (9.1% of total)

ival-exp: 4.0ms (9.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess262.0ms (9.4%)

Memory

5.7MiB live, 193.7MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	32	21
2	78	21
3	247	21
4	1225	21
0	5	6
0	8	6
1	16	6
2	32	6
3	76	6
4	299	6
5	3046	6
0	8497	4

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.5%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

series3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

5 → 16

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite187.0ms (6.7%)

Memory

-4.4MiB live, 183.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	192
0	49	192
1	240	192
2	2096	192
0	8129	147

Stop Event

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

Counts

21 → 104

Calls

Call 1

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

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

eval40.0ms (1.4%)

Memory: -19.8MiB live, 24.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 698 to 363 computations (78.6% saved)

prune5.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	98	8	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	8	107

Accuracy

100.0%

Counts

107 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.1%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
▶	75.4%	(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
▶	100.0%	(/.f64 (expm1.f64 x) x)
	72.5%	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
▶	70.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	67.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	55.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	55.5%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 184 to 142 computations (22.8% saved)

series20.0ms (0.7%)

Memory

-5.2MiB live, 36.4MiB allocated; 12ms collecting garbage

Counts

22 → 69

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (- (exp (+ x x)) 1) (+ x x) (* (- (exp x) -1) x) (- (exp x) -1) (exp x) -1)
3.0ms	x	@	inf	((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (- (exp (+ x x)) 1) (+ x x) (* (- (exp x) -1) x) (- (exp x) -1) (exp x) -1)
2.0ms	x	@	0	((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (- (exp (+ x x)) 1) (+ x x) (* (- (exp x) -1) x) (- (exp x) -1) (exp x) -1)

Time

Variable

Point

Expression

13.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite70.0ms (2.5%)

Memory

33.6MiB live, 76.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	1110
0	218	1035
0	1025	1015

Stop Event

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

Counts

91 → 152

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
x
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x))) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))
(+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))
#s(literal 1/24 binary64)
(/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (neg.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
#s(literal -1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(literal 1 binary64))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (* (- (exp x) -1) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (* (- (exp x) -1) x) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (* (- (exp x) -1) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) x))
#s(approx (* (- (exp x) -1) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x)))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (* (- (exp x) -1) x) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))
#s(approx (- (exp x) -1) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))

eval34.0ms (1.2%)

Memory: -28.2MiB live, 28.0MiB allocated; 19ms collecting garbage
Compiler: Compiled 3 351 to 578 computations (82.8% saved)

prune13.0ms (0.5%)

Memory

24.2MiB live, 24.2MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	164	7	171
Fresh	1	2	3
Picked	0	5	5
Done	0	0	0
Total	165	14	179

Accuracy

100.0%

Counts

179 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.1%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	75.4%	(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	72.5%	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
▶	55.5%	#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
✓	70.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	70.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	70.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	67.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	69.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
▶	66.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
	59.7%	#s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
	15.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	55.5%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 456 to 314 computations (31.1% saved)

series15.0ms (0.5%)

Memory

-26.2MiB live, 21.3MiB allocated; 4ms collecting garbage

Counts

31 → 94

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/24 binary64) x)) #s(literal 1/36 binary64))
(.f64 (.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/24 binary64) x))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/36 binary64)
(-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))

Outputs
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(hole binary64 1))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) #s(hole binary64 1/6))
#s(approx (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(hole binary64 -1/36))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(hole binary64 (- (* 1/576 (pow x 2)) 1/36)))
#s(approx (* (* 1/24 x) (* 1/24 x)) #s(hole binary64 (* 1/576 (pow x 2))))
#s(approx (* 1/24 x) #s(hole binary64 (* 1/24 x)))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 (- (* 1/24 x) 1/6)))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) #s(hole binary64 (* 1/24 x)))
#s(approx (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(hole binary64 (* 1/576 (pow x 2))))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(hole binary64 (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 (* x (- 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (* x (+ 1 (exp x))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (* 1/6 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) (- (* (* 1/24 x) (* 1/24 x)) 1/36) (* (* 1/24 x) (* 1/24 x)) (* 1/24 x) 1/36 (- (* 1/24 x) 1/6))
4.0ms	x	@	-inf	((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (* 1/6 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) (- (* (* 1/24 x) (* 1/24 x)) 1/36) (* (* 1/24 x) (* 1/24 x)) (* 1/24 x) 1/36 (- (* 1/24 x) 1/6))
2.0ms	x	@	0	((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (* 1/6 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) (- (* (* 1/24 x) (* 1/24 x)) 1/36) (* (* 1/24 x) (* 1/24 x)) (* 1/24 x) 1/36 (- (* 1/24 x) 1/6))

Time

Variable

Point

Expression

6.0ms

inf

((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (* 1/6 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) (- (* (* 1/24 x) (* 1/24 x)) 1/36) (* (* 1/24 x) (* 1/24 x)) (* 1/24 x) 1/36 (- (* 1/24 x) 1/6))

4.0ms

-inf

((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (* 1/6 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) (- (* (* 1/24 x) (* 1/24 x)) 1/36) (* (* 1/24 x) (* 1/24 x)) (* 1/24 x) 1/36 (- (* 1/24 x) 1/6))

2.0ms

((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (* 1/6 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) (- (* (* 1/24 x) (* 1/24 x)) 1/36) (* (* 1/24 x) (* 1/24 x)) (* 1/24 x) 1/36 (- (* 1/24 x) 1/6))

rewrite91.0ms (3.3%)

Memory

22.5MiB live, 67.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	251	2128
0	282	1673
1	1134	429
0	12799	377

Stop Event

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

Counts

125 → 166

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/24 binary64) x)) #s(literal 1/36 binary64))
(.f64 (.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/24 binary64) x))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/36 binary64)
(-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(hole binary64 1))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) #s(hole binary64 1/6))
#s(approx (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(hole binary64 -1/36))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(hole binary64 (- (* 1/576 (pow x 2)) 1/36)))
#s(approx (* (* 1/24 x) (* 1/24 x)) #s(hole binary64 (* 1/576 (pow x 2))))
#s(approx (* 1/24 x) #s(hole binary64 (* 1/24 x)))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 (- (* 1/24 x) 1/6)))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) #s(hole binary64 (* 1/24 x)))
#s(approx (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(hole binary64 (* 1/576 (pow x 2))))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(hole binary64 (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 (* x (- 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (* x (+ 1 (exp x))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))))

Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (- (exp x) 1) x) #s(literal 41/24 binary64)))) x)
(/.f64 (neg.f64 #s(approx (/ (- (exp x) 1) x) #s(literal 41/24 binary64))) #s(literal -1 binary64))
(/.f64 #s(approx (/ (- (exp x) 1) x) #s(literal 41/24 binary64)) x)
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (- (exp x) 1) x) #s(literal 41/24 binary64))) x))
(neg.f64 (/.f64 #s(approx (/ (- (exp x) 1) x) #s(literal 41/24 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(literal 41/24 binary64))
#s(literal 41/24 binary64)
#s(literal 41/24 binary64)
#s(literal 17/24 binary64)
#s(literal 5/24 binary64)
#s(literal 1/24 binary64)
x
#s(literal 1 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x x))
(/.f64 (-.f64 x (pow.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) #s(literal 2 binary64))) (-.f64 x (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) (-.f64 x (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x)))))
(/.f64 (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) #s(literal 3 binary64)) x x) (+.f64 x (-.f64 (pow.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) #s(literal 3 binary64)) x x) (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) (-.f64 x (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x))))
(fma.f64 (.f64 (.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64) x)
(fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x x)
(fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x x)
(fma.f64 x (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x)
(fma.f64 x #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x)
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x #s(literal -1 binary64))) (/.f64 x (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x #s(literal -1 binary64))))
(-.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))
(-.f64 x (.f64 (neg.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64))) x))
(-.f64 x (.f64 #s(literal -1 binary64) #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) (-.f64 x (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x)))) (/.f64 x (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) (-.f64 x (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x)))))
(+.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x)
(+.f64 x (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x x))
(/.f64 (-.f64 x (pow.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(literal 2 binary64))) (-.f64 x (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) (-.f64 x (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x)))))
(/.f64 (fma.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) #s(literal 3 binary64)) x x) (+.f64 x (-.f64 (pow.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(literal 2 binary64)) (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) #s(literal 3 binary64)) x x) (fma.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) (-.f64 x (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x))))
(fma.f64 (.f64 (.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64) x)
(fma.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) x x)
(fma.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x x)
(fma.f64 x (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) x)
(fma.f64 x #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x)
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x #s(literal -1 binary64))) (/.f64 x (fma.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x #s(literal -1 binary64))))
(-.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(literal -1 binary64))
(-.f64 x (.f64 (neg.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64))) x))
(-.f64 x (.f64 #s(literal -1 binary64) #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) (-.f64 x (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x)))) (/.f64 x (fma.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) (-.f64 x (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x)))))
(+.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) x)
(+.f64 x (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(literal 41/24 binary64))
#s(literal 41/24 binary64)
#s(literal 17/24 binary64)
#s(literal 5/24 binary64)
#s(literal -5/192 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/36 binary64)
#s(literal -1/8 binary64)
#s(approx (/ (- (exp x) 1) x) x)
#s(approx (/ (- (exp x) 1) x) #s(literal 3/2 binary64))
#s(approx (/ (- (exp x) 1) x) #s(literal 5/3 binary64))
#s(approx (/ (- (exp x) 1) x) #s(literal 41/24 binary64))
#s(approx (/ (- (exp x) 1) x) x)
#s(approx (/ (- (exp x) 1) x) #s(literal 3/2 binary64))
#s(approx (/ (- (exp x) 1) x) #s(literal 5/3 binary64))
#s(approx (/ (- (exp x) 1) x) #s(literal 41/24 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) x)
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 3/2 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 5/3 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) x)
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 3/2 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 5/3 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 2/3 binary64))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 17/24 binary64))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 5/24 binary64))
#s(approx (* x x) x)
#s(approx (/ (- (exp x) 1) x) x)
#s(approx (/ (- (exp x) 1) x) #s(literal 3/2 binary64))
#s(approx (/ (- (exp x) 1) x) #s(literal 5/3 binary64))
#s(approx (/ (- (exp x) 1) x) #s(literal 41/24 binary64))
#s(approx (+ (* 1/2 x) 1) x)
#s(approx (+ (* 1/2 x) 1) #s(literal 3/2 binary64))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) x)
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 3/2 binary64))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 5/3 binary64))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 2/3 binary64))
#s(approx (* 1/6 x) #s(literal 1/6 binary64))
#s(approx (* 1/24 x) #s(literal 1/24 binary64))
#s(approx (* x x) x)
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) x)
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 3/2 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 5/3 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 2/3 binary64))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 17/24 binary64))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 5/24 binary64))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -5/192 binary64))
#s(approx (* (* 1/24 x) (* 1/24 x)) #s(literal 1/576 binary64))
#s(approx (* 1/24 x) #s(literal 1/24 binary64))
#s(approx (- (* 1/24 x) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* 1/24 x) 1/6) #s(literal -1/8 binary64))
#s(approx (/ (- (exp x) 1) x) (expm1.f64 x))
#s(approx (/ (- (exp x) 1) x) (expm1.f64 x))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 5/24 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 17/24 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 5/24 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 17/24 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 5/24 binary64))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 17/24 binary64))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 5/24 binary64))
#s(approx (/ (- (exp x) 1) x) (expm1.f64 x))
#s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64))
#s(approx (+ (* 1/2 x) 1) #s(literal 3/2 binary64))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 2/3 binary64))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 5/3 binary64))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 2/3 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 5/24 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 17/24 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 5/24 binary64))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 17/24 binary64))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 5/24 binary64))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal 1/576 binary64))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -5/192 binary64))
#s(approx (- (* 1/24 x) 1/6) #s(literal 1/24 binary64))
#s(approx (- (* 1/24 x) 1/6) #s(literal -1/8 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 17/24 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (/ (- (exp x) 1) x) (expm1.f64 x))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 17/24 binary64))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (- (* 1/24 x) 1/6) #s(literal -1/8 binary64))

eval24.0ms (0.9%)

Memory: -19.9MiB live, 25.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 275 to 495 computations (88.4% saved)

prune13.0ms (0.5%)

Memory

27.6MiB live, 27.6MiB allocated; 0ms collecting garbage

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	140	10	150
Fresh	0	4	4
Picked	3	2	5
Done	0	5	5
Total	143	21	164

Accuracy

100.0%

Counts

164 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.1%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	75.4%	(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	21.1%	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 1 binary64))
▶	3.1%	(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
✓	55.5%	#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
	3.7%	#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) x))
✓	70.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	55.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	70.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	67.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	15.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x x))
✓	69.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
	3.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x x))
	55.5%	#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x #s(literal -1 binary64))))
	59.7%	#s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
▶	3.7%	#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x))
	27.1%	#s(approx (/ (- (exp x) 1) x) (expm1.f64 x))
	15.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	11.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64)))
✓	55.5%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 803 to 503 computations (37.4% saved)

series69.0ms (2.5%)

Memory

-30.2MiB live, 60.2MiB allocated; 48ms collecting garbage

Counts

26 → 79

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x))
(+.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x)
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
#s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64))
(/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))

Outputs
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx (* 1/24 x) #s(hole binary64 (* 1/24 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) #s(hole binary64 (* x (+ 3/2 (* 1/6 x)))))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/6 x)))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) #s(hole binary64 1/6))
#s(approx (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(hole binary64 -1/36))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(hole binary64 (- (* 1/576 (pow x 2)) 1/36)))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 (- (* 1/24 x) 1/6)))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 3/2 (/ 1 x))))))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) #s(hole binary64 (* 1/24 x)))
#s(approx (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(hole binary64 (* 1/576 (pow x 2))))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(hole binary64 (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 (* x (- 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))))

Calls

3 calls:

Time	Variable		Point	Expression
63.0ms	x	@	-inf	((/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (* 1/24 x) 1/24 x 1/2 1 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) 1/6 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) x) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) (- (* (* 1/24 x) (* 1/24 x)) 1/36) -1/36 (- (* 1/24 x) 1/6))
2.0ms	x	@	inf	((/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (* 1/24 x) 1/24 x 1/2 1 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) 1/6 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) x) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) (- (* (* 1/24 x) (* 1/24 x)) 1/36) -1/36 (- (* 1/24 x) 1/6))
1.0ms	x	@	0	((/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (* 1/24 x) 1/24 x 1/2 1 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) 1/6 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) x) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) (- (* (* 1/24 x) (* 1/24 x)) 1/36) -1/36 (- (* 1/24 x) 1/6))

Time

Variable

Point

Expression

63.0ms

-inf

((/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (* 1/24 x) 1/24 x 1/2 1 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) 1/6 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) x) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) (- (* (* 1/24 x) (* 1/24 x)) 1/36) -1/36 (- (* 1/24 x) 1/6))

2.0ms

inf

((/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (* 1/24 x) 1/24 x 1/2 1 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) 1/6 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) x) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) (- (* (* 1/24 x) (* 1/24 x)) 1/36) -1/36 (- (* 1/24 x) 1/6))

1.0ms

((/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (* 1/24 x) 1/24 x 1/2 1 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) 1/6 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) x) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) (- (* (* 1/24 x) (* 1/24 x)) 1/36) -1/36 (- (* 1/24 x) 1/6))

rewrite208.0ms (7.5%)

Memory

33.4MiB live, 217.1MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1911
0	217	1596
1	946	1574
0	7346	1339

Stop Event

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

Counts

105 → 212

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x))
(+.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x)
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
#s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64))
(/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx (* 1/24 x) #s(hole binary64 (* 1/24 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) #s(hole binary64 (* x (+ 3/2 (* 1/6 x)))))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/6 x)))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) #s(hole binary64 1/6))
#s(approx (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(hole binary64 -1/36))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(hole binary64 (- (* 1/576 (pow x 2)) 1/36)))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 (- (* 1/24 x) 1/6)))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 3/2 (/ 1 x))))))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) #s(hole binary64 (* 1/24 x)))
#s(approx (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(hole binary64 (* 1/576 (pow x 2))))
#s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(hole binary64 (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 (* x (- 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (- (* 1/24 x) 1/6) #s(hole binary64 (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))))

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

eval27.0ms (1%)

Memory: -0.7MiB live, 44.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 7 852 to 805 computations (89.7% saved)

prune19.0ms (0.7%)

Memory

-8.3MiB live, 38.0MiB allocated; 2ms collecting garbage

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	211	4	215
Fresh	3	6	9
Picked	2	3	5
Done	0	7	7
Total	216	20	236

Accuracy

100.0%

Counts

236 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.1%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	75.4%	(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	21.1%	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 1 binary64))
✓	3.1%	(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
✓	55.5%	#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
	3.7%	#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) x))
✓	70.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	55.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	70.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	67.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	69.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
	55.5%	#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x #s(literal -1 binary64))))
	59.7%	#s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
	27.1%	#s(approx (/ (- (exp x) 1) x) (expm1.f64 x))
	15.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 3/2 binary64)) x)))
	15.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
	3.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 #s(literal 3/2 binary64) x)))
✓	11.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64)))
✓	55.5%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 1 065 to 422 computations (60.4% saved)

regimes16.0ms (0.6%)

Memory

30.4MiB live, 30.4MiB allocated; 0ms collecting garbage

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x x))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 3/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x #s(literal -1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))

Outputs
(/.f64 (expm1.f64 x) x)

Calls

2 calls:

8.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes23.0ms (0.8%)

Memory

-26.2MiB live, 29.5MiB allocated; 11ms collecting garbage

Counts

27 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x x))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 3/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x #s(literal -1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (expm1.f64 x))

Outputs

#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

#s(approx (/ (- (exp x) 1) x) (expm1.f64 x))

Calls

2 calls:

16.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
79.6%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
79.6%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes16.0ms (0.6%)

Memory

-15.5MiB live, 30.5MiB allocated; 3ms collecting garbage

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x x))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 3/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x #s(literal -1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))

Outputs

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

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

Calls

2 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
7.0ms	x

Results

Accuracy	Segments	Branch
72.5%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
75.3%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes13.0ms (0.5%)

Memory

30.1MiB live, 30.1MiB allocated; 0ms collecting garbage

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x x))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 3/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x #s(literal -1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
72.5%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
72.5%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes13.0ms (0.5%)

Memory

-22.7MiB live, 24.2MiB allocated; 1ms collecting garbage

Counts

23 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x x))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 3/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x #s(literal -1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 1 binary64))

Outputs

#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

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

Calls

2 calls:

6.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
73.3%	2	`x`
73.3%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes12.0ms (0.4%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x x))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 3/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (.f64 #s(approx (+ ( (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x) #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) #s(literal 1/24 binary64)) x #s(literal -1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes58.0ms (2.1%)

Memory

-31.9MiB live, 14.9MiB allocated; 2ms collecting garbage

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x x))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 3/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
70.2%	1	`x`
70.2%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes10.0ms (0.3%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x x))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 3/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
69.9%	1	`x`
69.9%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.3%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x x))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 3/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)

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

Calls

2 calls:

4.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
67.1%	1	`x`
67.1%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (0.3%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/6 binary64)) x x))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 3/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 #s(approx (+ ( 1/6 x) 1/2) #s(literal 1/6 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (/ (- (* (* 1/24 x) (* 1/24 x)) 1/36) (- (* 1/24 x) 1/6)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
66.7%	1	`x`
66.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes26.0ms (0.9%)

Memory

-39.8MiB live, 9.2MiB allocated; 6ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
67.1%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
67.1%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
67.1%	2	`x`
67.1%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes5.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Accuracy

Total -33.5b remaining (-117.6%)

Threshold costs -33.5b (-117.6%)

Counts

8 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
55.5%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
55.5%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

bsearch11.0ms (0.4%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.4280497630667543	1776.8525090926312

Samples

5.0ms

128×

valid

Compiler

Compiled 313 to 247 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (42.8% of total)

ival-expm1: 1.0ms (42.8% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch14.0ms (0.5%)

Memory

-27.9MiB live, 15.9MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.5126148338046457e+100	2.667266900539722e+104

Samples

4.0ms

128×

valid

Compiler

Compiled 529 to 311 computations (41.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (53.3% of total)

ival-expm1: 1.0ms (53.3% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.24813158368284	+inf

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.24813158368284	+inf

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.24813158368284	+inf

Compiler

Compiled 9 to 9 computations (0% saved)

simplify56.0ms (2%)

Memory

24.1MiB live, 66.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	373
1	121	373
2	217	373
3	595	373
4	1780	373

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 4278419646001971/1125899906842624 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) (expm1.f64 x)))
(if (<=.f64 x #s(literal 15999999999999999632792212243925386055149483518786400098079935595711895234892638580852180711704184750080 binary64)) #s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 3/2 binary64)) x))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Outputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 4278419646001971/1125899906842624 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) (expm1.f64 x)))
(if (<=.f64 x #s(literal 15999999999999999632792212243925386055149483518786400098079935595711895234892638580852180711704184750080 binary64)) #s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (- (* (* 1/24 x) (* 1/24 x)) 1/36) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 3/2 binary64)) x))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

derivations503.0ms (18.1%)

Memory

-25.5MiB live, 290.5MiB allocated; 146ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 373 to 88 computations (76.4% saved)

preprocess71.0ms (2.6%)

Memory: -6.0MiB live, 128.0MiB allocated; 17ms collecting garbage
Compiler: Compiled 802 to 210 computations (73.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample713.0ms (25.6%)

explain95.0ms (3.4%)

preprocess262.0ms (9.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series3.0ms (0.1%)

rewrite187.0ms (6.7%)

eval40.0ms (1.4%)

prune5.0ms (0.2%)

series20.0ms (0.7%)

rewrite70.0ms (2.5%)

eval34.0ms (1.2%)

prune13.0ms (0.5%)

series15.0ms (0.5%)

rewrite91.0ms (3.3%)

eval24.0ms (0.9%)

prune13.0ms (0.5%)

series69.0ms (2.5%)

rewrite208.0ms (7.5%)

eval27.0ms (1%)

prune19.0ms (0.7%)

regimes16.0ms (0.6%)

regimes23.0ms (0.8%)

regimes16.0ms (0.6%)

regimes13.0ms (0.5%)

regimes13.0ms (0.5%)

regimes12.0ms (0.4%)

regimes58.0ms (2.1%)

regimes10.0ms (0.3%)

regimes9.0ms (0.3%)

regimes8.0ms (0.3%)

regimes26.0ms (0.9%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch11.0ms (0.4%)

bsearch14.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify56.0ms (2%)

derivations503.0ms (18.1%)

preprocess71.0ms (2.6%)

end0.0ms (0%)

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