Metrics for Kahan's exp quotient

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

2.2MiB live, 2.2MiB 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)

sample1.7s (38.3%)

Memory

-64.7MiB live, 857.4MiB allocated; 1.5s collecting garbage

Samples

871.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

ival-expm1: 199.0ms (54.5% of total)

ival-div: 158.0ms (43.3% of total)

ival-assert: 4.0ms (1.1% of total)

adjust: 3.0ms (0.8% of total)

Bogosity

explain137.0ms (3%)

Memory

10.1MiB live, 118.8MiB allocated; 49ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
122	-	-	`(-.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	122	0

Confusion

	Predicted +	Predicted -
+	122	0
-	0	134

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	122	0	0
-	0	0	134

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	134
1	122

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms

512×

valid

Compiler

Compiled 38 to 19 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 7.0ms (31.7% of total)

ival-exp: 7.0ms (31.7% of total)

ival-expm1: 6.0ms (27.2% of total)

ival-true: 1.0ms (4.5% of total)

exact: 1.0ms (4.5% of total)

adjust: 0.0ms (0% of total)

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

preprocess341.0ms (7.5%)

Memory

21.0MiB live, 243.9MiB allocated; 77ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.9%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

series5.0ms (0.1%)

Memory

-41.1MiB live, 5.4MiB allocated; 2ms 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
3.0ms	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)

rewrite275.0ms (6.1%)

Memory

27.8MiB live, 366.8MiB allocated; 41ms 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))

eval66.0ms (1.5%)

Memory: -21.0MiB live, 25.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 698 to 363 computations (78.6% saved)

prune11.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB 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)
▶	68.0%	(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
▶	100.0%	(/.f64 (expm1.f64 x) x)
	72.7%	(/.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)
▶	69.2%	#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)))
▶	65.4%	#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)))
	49.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	49.0%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 184 to 142 computations (22.8% saved)

series46.0ms (1%)

Memory

-22.1MiB live, 25.0MiB allocated; 2ms 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
33.0ms	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)
6.0ms	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)
4.0ms	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

33.0ms

-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)

6.0ms

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)

4.0ms

((/ (- (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)

rewrite189.0ms (4.2%)

Memory

9.7MiB live, 118.2MiB allocated; 27ms 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)))

eval53.0ms (1.2%)

Memory: -12.0MiB live, 33.9MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 351 to 578 computations (82.8% saved)

prune41.0ms (0.9%)

Memory

8.9MiB live, 52.7MiB allocated; 13ms collecting garbage

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	159	12	171
Fresh	1	2	3
Picked	0	5	5
Done	0	0	0
Total	160	19	179

Accuracy

100.0%

Counts

179 → 19

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)
✓	68.0%	(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	72.7%	(/.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)
▶	49.3%	#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
✓	69.2%	#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)))
	69.2%	#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)))
▶	69.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	69.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	69.0%	#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)))
✓	65.4%	#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)))
	68.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #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))) x #s(literal 1 binary64)))
▶	43.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #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))) x #s(literal 1 binary64)))
	68.5%	#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)))
	64.8%	#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)))
	53.3%	#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))))
	23.2%	#s(approx (/ (- (exp x) 1) 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))))
	19.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	49.0%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 724 to 516 computations (28.7% saved)

series30.0ms (0.7%)

Memory

-16.8MiB live, 37.9MiB allocated; 13ms collecting garbage

Counts

31 → 95

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

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

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) (- (exp x) 1) (exp x) (/ (- (exp x) 1) x) (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) (+ (* (- 1/6 (* -1/24 x)) x) 1/2) (- 1/6 (* -1/24 x)) (* -1/24 x) -1/24 (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (+ 1/24 (/ 1/2 (* x x))) (/ 1/2 (* x x)) (* x x) (/ 1/6 x))
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) (- (exp x) 1) (exp x) (/ (- (exp x) 1) x) (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) (+ (* (- 1/6 (* -1/24 x)) x) 1/2) (- 1/6 (* -1/24 x)) (* -1/24 x) -1/24 (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (+ 1/24 (/ 1/2 (* x x))) (/ 1/2 (* x x)) (* x x) (/ 1/6 x))
5.0ms	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) (- (exp x) 1) (exp x) (/ (- (exp x) 1) x) (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) (+ (* (- 1/6 (* -1/24 x)) x) 1/2) (- 1/6 (* -1/24 x)) (* -1/24 x) -1/24 (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (+ 1/24 (/ 1/2 (* x x))) (/ 1/2 (* x x)) (* x x) (/ 1/6 x))

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

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

5.0ms

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

rewrite156.0ms (3.4%)

Memory

13.1MiB live, 103.9MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	1985
0	276	1732
1	1137	436
0	13469	386

Stop Event

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

Counts

126 → 175

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

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)
(/.f64 (-.f64 (*.f64 (/.f64 #s(approx (exp x) x) x) (/.f64 #s(approx (exp x) x) x)) x) (+.f64 (/.f64 #s(approx (exp x) x) x) x))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (exp x) x) x) #s(literal 3 binary64)) x) (fma.f64 (/.f64 #s(approx (exp x) x) x) (/.f64 #s(approx (exp x) x) x) (+.f64 x (*.f64 (/.f64 #s(approx (exp x) x) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(approx (exp x) x) x))) x)
(/.f64 (-.f64 (*.f64 #s(approx (exp x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(approx (exp x) x) x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(approx (exp x) x) x) x)
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(approx (exp x) x) x)) x))
(neg.f64 (/.f64 (-.f64 #s(approx (exp x) x) x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(approx (exp x) x) x) x)
(/.f64 (neg.f64 (fma.f64 #s(approx (exp x) x) #s(approx (exp x) x) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(approx (exp x) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp x) x) #s(literal 3 binary64)) x)) (neg.f64 (fma.f64 #s(approx (exp x) x) #s(approx (exp x) x) (+.f64 x #s(approx (exp x) x)))))
(/.f64 (fma.f64 #s(approx (exp x) x) #s(approx (exp x) x) #s(literal -1 binary64)) (-.f64 #s(approx (exp x) x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) x) #s(literal 3 binary64)) x) (fma.f64 #s(approx (exp x) x) #s(approx (exp x) x) (+.f64 x #s(approx (exp x) x))))
(fma.f64 (*.f64 #s(approx (exp x) x) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(approx (exp x) x) x #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (exp x) x) #s(literal 2 binary64)) (-.f64 #s(approx (exp x) x) #s(literal -1 binary64))) (/.f64 x (-.f64 #s(approx (exp x) x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp x) x) #s(literal 3 binary64)) (fma.f64 #s(approx (exp x) x) #s(approx (exp x) x) (+.f64 x #s(approx (exp x) x)))) (/.f64 x (fma.f64 #s(approx (exp x) x) #s(approx (exp x) x) (+.f64 x #s(approx (exp x) x)))))
(-.f64 #s(approx (exp x) x) x)
(+.f64 #s(approx (exp x) x) #s(literal -1 binary64))
(.f64 (.f64 #s(approx (exp x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(approx (exp x) x) x)
#s(approx (exp x) x)
(/.f64 (*.f64 #s(approx (exp x) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(approx (exp x) 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 -1/24 binary64)
#s(literal -1/24 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x x))
(/.f64 (-.f64 x (pow.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) #s(literal 2 binary64))) (-.f64 x (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x)))
(/.f64 (+.f64 x (pow.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) #s(literal 3 binary64))) (+.f64 x (-.f64 (pow.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) #s(literal 2 binary64)) (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) (-.f64 x (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x)))))
(/.f64 (fma.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal 3 binary64)) x x) (fma.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) (-.f64 x (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x))))
(fma.f64 (.f64 (.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64) x)
(fma.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x x)
(fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x x)
(fma.f64 x (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x)
(fma.f64 x #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x)
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x #s(literal -1 binary64))) (/.f64 x (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x #s(literal -1 binary64))))
(-.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) #s(literal -1 binary64))
(-.f64 x (.f64 (neg.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64))) x))
(-.f64 x (.f64 #s(literal -1 binary64) #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) (-.f64 x (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x)))) (/.f64 x (fma.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) (-.f64 x (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x)))))
(+.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x)
(+.f64 x (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64))
#s(literal 17/24 binary64)
#s(literal 17/24 binary64)
#s(literal 13/24 binary64)
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
#s(literal 1/6 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 (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) x)
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 3/2 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 5/3 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) x)
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 3/2 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 5/3 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 2/3 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64))
#s(approx (- 1/6 (* -1/24 x)) #s(literal 1/6 binary64))
#s(approx (- 1/6 (* -1/24 x)) #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))
(.f64 (.f64 #s(approx (exp x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(approx (exp x) x) x)
#s(approx (exp x) x)
(/.f64 (*.f64 #s(approx (exp x) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(approx (exp x) x) #s(literal -1 binary64)))
#s(approx (exp x) #s(literal 2 binary64))
#s(approx (exp x) #s(literal 5/2 binary64))
#s(approx (exp x) #s(literal 8/3 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) x)
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 3/2 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 5/3 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 2/3 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64))
#s(approx (- 1/6 (* -1/24 x)) #s(literal 1/6 binary64))
#s(approx (- 1/6 (* -1/24 x)) #s(literal 5/24 binary64))
#s(approx (* -1/24 x) #s(literal -1/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 2/3 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 2/3 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64))
#s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 1/2 binary64))
#s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 13/24 binary64))
#s(approx (/ 1/2 (* x x)) #s(literal 1/2 binary64))
#s(approx (* x x) x)
#s(approx (/ 1/6 x) #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) 1) x) (expm1.f64 x))
#s(approx (/ (- (exp x) 1) x) (expm1.f64 x))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 5/24 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 17/24 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 5/24 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 17/24 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 5/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64))
#s(approx (- 1/6 (* -1/24 x)) #s(literal 1/24 binary64))
#s(approx (- 1/6 (* -1/24 x)) #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 (exp x) (exp.f64 x))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 5/24 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 17/24 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 5/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64))
#s(approx (- 1/6 (* -1/24 x)) #s(literal 1/24 binary64))
#s(approx (- 1/6 (* -1/24 x)) #s(literal 5/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 5/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 5/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64))
#s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 1/24 binary64))
#s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 13/24 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 17/24 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 41/24 binary64))
#s(approx (/ (- (exp x) 1) x) (expm1.f64 x))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 17/24 binary64))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 41/24 binary64))

eval29.0ms (0.6%)

Memory: 18.0MiB live, 18.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 635 to 493 computations (86.4% saved)

prune96.0ms (2.1%)

Memory

-27.8MiB live, 19.0MiB allocated; 4ms collecting garbage

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	134	10	144
Fresh	5	4	9
Picked	2	3	5
Done	0	5	5
Total	141	22	163

Accuracy

100.0%

Counts

163 → 22

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)
✓	68.0%	(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	27.2%	(/.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))
	64.2%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)) x)) x)
▶	2.9%	(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
✓	49.3%	#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))
▶	11.0%	#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64)))
✓	69.2%	#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)))
✓	69.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	69.0%	#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)))
✓	65.4%	#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)))
	19.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x x))
▶	68.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))) x #s(literal 1 binary64)))
	68.5%	#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 (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x x))
	53.3%	#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 ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x))
	34.2%	#s(approx (/ (- (exp x) 1) x) (expm1.f64 x))
	19.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	49.0%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 800 to 556 computations (30.5% saved)

series16.0ms (0.3%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

29 → 84

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 x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x))
(+.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x)
(.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x)
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64))
#s(literal 17/24 binary64)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
#s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))) x #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x)))
(.f64 (+.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))
(+.f64 #s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 13/24 binary64)) (/.f64 #s(literal 1/6 binary64) x))
#s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 13/24 binary64))
#s(literal 13/24 binary64)
(/.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(*.f64 x x)

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	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 x)) 1) (* (- (exp x) -1) x)) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) 17/24 (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (+ 1/24 (/ 1/2 (* x x))) 13/24 (/ 1/6 x) 1/6 (* x x))
5.0ms	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 x)) 1) (* (- (exp x) -1) x)) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) 17/24 (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (+ 1/24 (/ 1/2 (* x x))) 13/24 (/ 1/6 x) 1/6 (* x x))
3.0ms	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 x)) 1) (* (- (exp x) -1) x)) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) 17/24 (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (+ 1/24 (/ 1/2 (* x x))) 13/24 (/ 1/6 x) 1/6 (* x x))

Time

Variable

Point

Expression

5.0ms

-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 x)) 1) (* (- (exp x) -1) x)) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) 17/24 (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (+ 1/24 (/ 1/2 (* x x))) 13/24 (/ 1/6 x) 1/6 (* x x))

5.0ms

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 x)) 1) (* (- (exp x) -1) x)) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) 17/24 (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (+ 1/24 (/ 1/2 (* x x))) 13/24 (/ 1/6 x) 1/6 (* x x))

3.0ms

((/ (- (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 x)) 1) (* (- (exp x) -1) x)) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) 17/24 (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (+ 1/24 (/ 1/2 (* x x))) 13/24 (/ 1/6 x) 1/6 (* x x))

rewrite210.0ms (4.6%)

Memory

0.3MiB live, 136.2MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	2132
0	247	1713
1	1173	466
0	13764	408

Stop Event

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

Counts

113 → 210

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 x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x))
(+.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x)
(.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x)
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64))
#s(literal 17/24 binary64)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
#s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))) x #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x)))
(.f64 (+.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))
(+.f64 #s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 13/24 binary64)) (/.f64 #s(literal 1/6 binary64) x))
#s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 13/24 binary64))
#s(literal 13/24 binary64)
(/.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(*.f64 x x)
#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 (/ (- (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 (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(hole binary64 (* x (+ 3/2 (* 1/6 x)))))
#s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(hole binary64 (* x (+ 3/2 (* x (+ 1/6 (* 1/24 x)))))))
#s(approx (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) #s(hole binary64 (* x (+ 1/2 (* 1/6 x)))))
#s(approx (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(hole binary64 1/2))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(hole binary64 (+ 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 (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) #s(hole binary64 (/ (+ 1/2 (* 1/6 x)) (pow x 2))))
#s(approx (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) #s(hole binary64 (/ (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (pow x 2))))
#s(approx (+ 1/24 (/ 1/2 (* x x))) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (+ 1/24 (/ 1/2 (* x x))) #s(hole binary64 (/ (+ 1/2 (* 1/24 (pow x 2))) (pow x 2))))
#s(approx (/ 1/6 x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (/ (- (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 (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 3/2 (pow x 2)))))))
#s(approx (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) 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 (/ 1/2 (* x x))) (/ 1/6 x)) #s(hole binary64 1/24))
#s(approx (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) #s(hole binary64 (+ 1/24 (* 1/6 (/ 1 x)))))
#s(approx (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) #s(hole binary64 (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))
#s(approx (+ 1/24 (/ 1/2 (* x x))) #s(hole binary64 1/24))
#s(approx (+ 1/24 (/ 1/2 (* x x))) #s(hole binary64 (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))
#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 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 3/2 (/ 1 x))) x)) 1/24)))))
#s(approx (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) 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)))))

Outputs
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x x))
(/.f64 (-.f64 x (pow.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 x (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (+.f64 x (pow.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 x (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) x)) (neg.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) x x)) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) x) (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x))))
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(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) x x) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) x) (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x)))
(fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64) x)
(fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x) x x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x x)
(fma.f64 x (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x) x)
(fma.f64 x (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) (/.f64 x (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))
(-.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(-.f64 x (.f64 (neg.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) x))
(-.f64 x (.f64 #s(literal -1 binary64) (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) x) (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x))) (/.f64 x (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) x) (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x))))
(+.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x) x)
(+.f64 x (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64)) #s(literal 3 binary64)) x #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64))) x (-.f64 #s(literal 1/4 binary64) (.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64))) x #s(literal -1/4 binary64)) (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64)) #s(literal 3 binary64)) x #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64))) x (-.f64 #s(literal 1/4 binary64) (.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))
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(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64))))
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(+.f64 (.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/24 binary64)) x))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/24 binary64)
x
#s(literal 1 binary64)
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x x))
(.f64 (-.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal -1 binary64)) x)
(/.f64 (-.f64 x (pow.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) #s(literal 2 binary64))) (-.f64 x (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x)))
(/.f64 (+.f64 x (pow.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) #s(literal 3 binary64))) (+.f64 x (-.f64 (pow.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) #s(literal 2 binary64)) (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x))))
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#s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 1/24 binary64))
#s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 13/24 binary64))
#s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 17/24 binary64))
#s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 41/24 binary64))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (expm1.f64 x))
#s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 41/24 binary64))
#s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64))
#s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 17/24 binary64))
#s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 41/24 binary64))

eval20.0ms (0.4%)

Memory: 33.5MiB live, 33.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 6 743 to 634 computations (90.6% saved)

prune40.0ms (0.9%)

Memory

-8.0MiB live, 37.9MiB allocated; 5ms collecting garbage

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	163	9	172
Fresh	3	6	9
Picked	4	1	5
Done	1	7	8
Total	171	23	194

Accuracy

100.0%

Counts

194 → 23

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)
✓	68.0%	(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	27.2%	(/.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))
✓	2.9%	(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))) x)
	9.4%	(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))) #s(literal 1 binary64))
	3.7%	#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x x))
✓	49.3%	#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
	34.2%	#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (expm1.f64 x))
	3.7%	#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) x))
✓	69.2%	#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)))
✓	65.4%	#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)))
	23.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (fma.f64 #s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 13/24 binary64)) x #s(literal 1/6 binary64))) x) x x))
	19.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x x))
	68.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (-.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) #s(literal -1/6 binary64)) (*.f64 x x))) x #s(literal 1 binary64)))
	68.5%	#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)))
	48.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)))
	53.3%	#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))))
	19.6%	#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 (.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x) x))
	3.7%	#s(approx (/ (- (exp x) 1) x) (.f64 (-.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal -1 binary64)) x))
	19.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
	10.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 5/24 binary64)))
✓	49.0%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 1 426 to 545 computations (61.8% saved)

regimes51.0ms (1.1%)

Memory

-21.9MiB live, 38.1MiB allocated; 10ms collecting garbage

Counts

40 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 5/24 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) 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 (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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 x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x x))
#s(approx (/ (- (exp x) 1) x) (.f64 (-.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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) (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 ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) 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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 (.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x) x))
(/.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 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (fma.f64 #s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 13/24 binary64)) x #s(literal 1/6 binary64))) x) x x))
#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) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (-.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) #s(literal -1/6 binary64)) (*.f64 x x))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))) 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 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (.f64 x x))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)) 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 #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))) x #s(literal 1 binary64)))
#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))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (expm1.f64 x))
#s(approx (/ (- (exp x) 1) 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))))
(/.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:

39.0ms	x
9.0ms	(/.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)

regimes51.0ms (1.1%)

Memory

-11.9MiB live, 34.2MiB allocated; 5ms collecting garbage

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 5/24 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) 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 (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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 x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x x))
#s(approx (/ (- (exp x) 1) x) (.f64 (-.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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) (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 ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) 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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 (.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x) x))
(/.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 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (fma.f64 #s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 13/24 binary64)) x #s(literal 1/6 binary64))) x) x x))
#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) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (-.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) #s(literal -1/6 binary64)) (*.f64 x x))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))) 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 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (.f64 x x))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)) 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 #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))) x #s(literal 1 binary64)))
#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))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) (expm1.f64 x))
#s(approx (/ (- (exp x) 1) 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))))

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

Calls

2 calls:

38.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
10.0ms	x

Results

Accuracy	Segments	Branch
80.2%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
80.2%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes20.0ms (0.4%)

Memory

25.0MiB live, 25.0MiB allocated; 0ms collecting garbage

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 5/24 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) 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 (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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 x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x x))
#s(approx (/ (- (exp x) 1) x) (.f64 (-.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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) (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 ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) 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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 (.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x) x))
(/.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 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (fma.f64 #s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 13/24 binary64)) x #s(literal 1/6 binary64))) x) x x))
#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) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (-.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) #s(literal -1/6 binary64)) (*.f64 x x))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))) 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 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (.f64 x x))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)) 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 #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))) x #s(literal 1 binary64)))
#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
(/.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:

10.0ms	x
8.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
72.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
72.7%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes42.0ms (0.9%)

Memory

-26.6MiB live, 19.8MiB allocated; 4ms collecting garbage

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 5/24 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) 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 (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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 x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x x))
#s(approx (/ (- (exp x) 1) x) (.f64 (-.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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) (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 ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) 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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 (.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x) x))
(/.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 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (fma.f64 #s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 13/24 binary64)) x #s(literal 1/6 binary64))) x) x x))
#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) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (-.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) #s(literal -1/6 binary64)) (*.f64 x x))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))) 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 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (.f64 x x))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)) 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 #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:

31.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
9.0ms	x

Results

Accuracy	Segments	Branch
73.1%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
73.1%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes17.0ms (0.4%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 5/24 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) 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 (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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 x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x x))
#s(approx (/ (- (exp x) 1) x) (.f64 (-.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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) (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 ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) 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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 (.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x) x))
(/.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 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (fma.f64 #s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 13/24 binary64)) x #s(literal 1/6 binary64))) x) x x))
#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) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (-.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) #s(literal -1/6 binary64)) (*.f64 x x))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 #s(approx (+ 1/24 (/ 1/2 ( x x))) #s(literal 13/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))) 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 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (.f64 x x))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #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 (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:

8.0ms	x
7.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
69.2%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
69.2%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes13.0ms (0.3%)

Memory

17.7MiB live, 17.7MiB 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 (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 5/24 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) 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 (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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 x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x x))
#s(approx (/ (- (exp x) 1) x) (.f64 (-.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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) (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 ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) 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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 (.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x) x))
(/.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 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (fma.f64 #s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 13/24 binary64)) x #s(literal 1/6 binary64))) x) x x))
#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:

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

Results

Accuracy	Segments	Branch
69.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
69.0%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes28.0ms (0.6%)

Memory

-30.5MiB live, 15.1MiB allocated; 5ms collecting garbage

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 5/24 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) 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 (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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 x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x x))
#s(approx (/ (- (exp x) 1) x) (.f64 (-.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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) (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 ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) 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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 (.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x) x))
(/.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 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) (fma.f64 #s(approx (+ 1/24 (/ 1/2 (* x x))) #s(literal 13/24 binary64)) x #s(literal 1/6 binary64))) x) x x))

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:

20.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
6.0ms	x

Results

Accuracy	Segments	Branch
68.5%	1	`x`
68.5%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes11.0ms (0.2%)

Memory

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

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 5/24 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) 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 (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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 x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x x))
#s(approx (/ (- (exp x) 1) x) (.f64 (-.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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) (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 ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) 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)))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 (.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x) x))
(/.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:

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

Results

Accuracy	Segments	Branch
65.4%	1	`x`
65.4%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes10.0ms (0.2%)

Memory

10.1MiB live, 10.1MiB 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 (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 5/24 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) 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 (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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 x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x x))
#s(approx (/ (- (exp x) 1) x) (.f64 (-.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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) (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 ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x x))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) x) 1/2) x) 1) #s(literal 1/24 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* (+ (* (- 1/6 (* -1/24 x)) 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:

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

Results

Accuracy	Segments	Branch
64.8%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
64.8%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 5/24 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) 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 (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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 x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x x))
#s(approx (/ (- (exp x) 1) x) (.f64 (-.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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))))

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:

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

Results

Accuracy	Segments	Branch
65.2%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
65.2%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes68.0ms (1.5%)

Memory

-44.1MiB live, 8.0MiB allocated; 22ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 5/24 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) 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 (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 1/24 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 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 x)) 1) (* (- (exp x) -1) x)) (fma.f64 #s(approx (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x x))
#s(approx (/ (- (exp x) 1) x) (.f64 (-.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (- (exp x) 1) x) (+.f64 (.f64 #s(approx ( (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) #s(literal 17/24 binary64)) x) x))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.3%	1	`x`
49.3%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Accuracy

Total -29.4b remaining (-90%)

Threshold costs -29.4b (-90%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (* (+ (+ 1/24 (/ 1/2 (* x x))) (/ 1/6 x)) (* x x)) x) x) #s(literal 5/24 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (* (- (exp x) -1) x)) #s(approx (+ (* 1/2 x) 1) x))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.0%	1	`x`
49.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

bsearch15.0ms (0.3%)

Memory

20.6MiB live, 20.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.1115680971775561e-7	4023.158025847345

Samples

6.0ms

160×

valid

Compiler

Compiled 239 to 207 computations (13.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-expm1: 2.0ms (65.6% of total)

ival-div: 1.0ms (32.8% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch9.0ms (0.2%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.1115680971775561e-7	4023.158025847345

Samples

3.0ms

80×

valid

Compiler

Compiled 339 to 277 computations (18.3% saved)

Precisions

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

ival-div: 1.0ms (66% of total)

ival-expm1: 1.0ms (66% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000001056172372	+inf

Compiler

Compiled 9 to 9 computations (0% saved)

simplify130.0ms (2.9%)

Memory

-12.1MiB live, 80.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	240
1	82	240
2	136	240
3	319	240
4	967	240
5	5813	240

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 6417629469002957/1125899906842624 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) (expm1.f64 x)))
(/.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 x #s(literal 2308094809027379/562949953421312 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 #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) 1) (.f64 (.f64 x x) #s(literal 1/6 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) #s(literal 1 binary64))

Outputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 6417629469002957/1125899906842624 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) (expm1.f64 x)))
(/.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 x #s(literal 2308094809027379/562949953421312 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 #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 x #s(literal 2308094809027379/562949953421312 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) (*.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) 1) (.f64 (.f64 x x) #s(literal 1/6 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) #s(literal 1 binary64))

derivations428.0ms (9.4%)

Memory

-7.3MiB live, 371.0MiB allocated; 43ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 240 to 65 computations (72.9% saved)

preprocess134.0ms (3%)

Memory: 12.5MiB live, 152.4MiB allocated; 42ms collecting garbage
Compiler: Compiled 536 to 164 computations (69.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.7s (38.3%)

explain137.0ms (3%)

preprocess341.0ms (7.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.1%)

rewrite275.0ms (6.1%)

eval66.0ms (1.5%)

prune11.0ms (0.2%)

series46.0ms (1%)

rewrite189.0ms (4.2%)

eval53.0ms (1.2%)

prune41.0ms (0.9%)

series30.0ms (0.7%)

rewrite156.0ms (3.4%)

eval29.0ms (0.6%)

prune96.0ms (2.1%)

series16.0ms (0.3%)

rewrite210.0ms (4.6%)

eval20.0ms (0.4%)

prune40.0ms (0.9%)

regimes51.0ms (1.1%)

regimes51.0ms (1.1%)

regimes20.0ms (0.4%)

regimes42.0ms (0.9%)

regimes17.0ms (0.4%)

regimes13.0ms (0.3%)

regimes28.0ms (0.6%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes8.0ms (0.2%)

regimes68.0ms (1.5%)

regimes4.0ms (0.1%)

bsearch15.0ms (0.3%)

bsearch9.0ms (0.2%)

bsearch1.0ms (0%)

simplify130.0ms (2.9%)

derivations428.0ms (9.4%)

preprocess134.0ms (3%)

end0.0ms (0%)

Profiling