Metrics for Kahan's exp quotient

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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)

sample854.0ms (33.7%)

Memory

33.0MiB live, 626.2MiB allocated; 961ms collecting garbage

Samples

658.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 509.0ms

ival-div: 440.0ms (86.4% of total)

ival-expm1: 64.0ms (12.6% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain114.0ms (4.5%)

Memory

1.4MiB live, 99.0MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
133	-	1	(0.02320192844004132)	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	0	-	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	132	1

Confusion

	Predicted +	Predicted -
+	132	0
-	0	124

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

0.9924812030075187

Recall?

1.0

Freqs

test

number	freq
0	124
1	132

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

75.0ms

512×

valid

Compiler

Compiled 38 to 19 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-expm1: 10.0ms (55.1% of total)

ival-div: 4.0ms (22% of total)

ival-exp: 4.0ms (22% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess344.0ms (13.6%)

Memory

-8.3MiB live, 235.7MiB allocated; 56ms 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

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

series3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

5 → 16

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite229.0ms (9%)

Memory

19.4MiB live, 205.7MiB allocated; 38ms 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))

eval12.0ms (0.5%)

Memory: -24.4MiB live, 21.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 698 to 363 computations (78.6% saved)

prune75.0ms (3%)

Memory

-20.6MiB live, 39.5MiB allocated; 14ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	3	107

Accuracy

100.0%

Counts

107 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(/.f64 (/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) x)
▶	100.0%	(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x))))
▶	77.7%	(/.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)))

Status

Accuracy

Program

▶

77.7%

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

▶

100.0%

(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x))))

▶

77.7%

(/.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)))

Compiler

Compiled 43 to 33 computations (23.3% saved)

series16.0ms (0.7%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Counts

28 → 111

Calls

Call 1

Inputs
(/.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)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))
(expm1.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
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 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)
(fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(exp.f64 x)
(-.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x))))
(neg.f64 (neg.f64 (neg.f64 (expm1.f64 x))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(neg.f64 (expm1.f64 x))
(expm1.f64 x)
(neg.f64 (neg.f64 (neg.f64 x)))
(neg.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 (/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) x)
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 (+.f64 x x))))
(neg.f64 (expm1.f64 (+.f64 x x)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))

Outputs
#s(approx (/ (neg (- (exp (* x 3)) 1)) (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x))) #s(hole binary64 1))
#s(approx (/ (neg (- (exp (* x 3)) 1)) (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (neg (- (exp (* x 3)) 1)) (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (neg (- (exp (* x 3)) 1)) (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (neg (- (exp (* x 3)) 1)) #s(hole binary64 (* -3 x)))
#s(approx (neg (- (exp (* x 3)) 1)) #s(hole binary64 (* x (- (* -9/2 x) 3))))
#s(approx (neg (- (exp (* x 3)) 1)) #s(hole binary64 (* x (- (* x (- (* -9/2 x) 9/2)) 3))))
#s(approx (neg (- (exp (* x 3)) 1)) #s(hole binary64 (* x (- (* x (- (* x (- (* -27/8 x) 9/2)) 9/2)) 3))))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (* 3 x)))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (* x (+ 3 (* 9/2 x)))))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (* x (+ 3 (* x (+ 9/2 (* 9/2 x)))))))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x)))))))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x)) #s(hole binary64 (* -3 x)))
#s(approx (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x)) #s(hole binary64 (* x (- (* -3 x) 3))))
#s(approx (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x)) #s(hole binary64 (* x (- (* x (- (* -5/2 x) 3)) 3))))
#s(approx (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x)) #s(hole binary64 (* x (- (* x (- (* x (- (* -3/2 x) 5/2)) 3)) 3))))
#s(approx (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x) #s(hole binary64 (* 3 x)))
#s(approx (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x) #s(hole binary64 (* x (+ 3 (* 3 x)))))
#s(approx (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x) #s(hole binary64 (* x (+ 3 (* x (+ 3 (* 5/2 x)))))))
#s(approx (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x) #s(hole binary64 (* x (+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x)))))))))
#s(approx (+ (* (exp x) (exp x)) (- (exp x) -1)) #s(hole binary64 3))
#s(approx (+ (* (exp x) (exp x)) (- (exp x) -1)) #s(hole binary64 (+ 3 (* 3 x))))
#s(approx (+ (* (exp x) (exp x)) (- (exp x) -1)) #s(hole binary64 (+ 3 (* x (+ 3 (* 5/2 x))))))
#s(approx (+ (* (exp x) (exp x)) (- (exp x) -1)) #s(hole binary64 (+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 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 (- (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 (/ (neg (neg (neg (- (exp x) 1)))) (neg (neg (neg x)))) #s(hole binary64 1))
#s(approx (/ (neg (neg (neg (- (exp x) 1)))) (neg (neg (neg x)))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (neg (neg (neg (- (exp x) 1)))) (neg (neg (neg x)))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (neg (neg (neg (- (exp x) 1)))) (neg (neg (neg x)))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (neg (neg (neg (- (exp x) 1)))) #s(hole binary64 (* -1 x)))
#s(approx (neg (neg (neg (- (exp x) 1)))) #s(hole binary64 (* x (- (* -1/2 x) 1))))
#s(approx (neg (neg (neg (- (exp x) 1)))) #s(hole binary64 (* x (- (* x (- (* -1/6 x) 1/2)) 1))))
#s(approx (neg (neg (neg (- (exp x) 1)))) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)) 1))))
#s(approx (neg (neg (- (exp x) 1))) #s(hole binary64 x))
#s(approx (neg (neg (- (exp x) 1))) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (neg (neg (- (exp x) 1))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (neg (neg (- (exp x) 1))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (* x (- (* -1/2 x) 1))))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (* x (- (* x (- (* -1/6 x) 1/2)) 1))))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)) 1))))
#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 (neg (neg (neg x))) #s(hole binary64 (* -1 x)))
#s(approx (neg (neg x)) #s(hole binary64 x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) #s(hole binary64 1))
#s(approx (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) #s(hole binary64 x))
#s(approx (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (neg (neg (- (exp (+ x x)) 1))) #s(hole binary64 (* 2 x)))
#s(approx (neg (neg (- (exp (+ x x)) 1))) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (neg (neg (- (exp (+ x x)) 1))) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (neg (neg (- (exp (+ x x)) 1))) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (neg (- (exp (+ x x)) 1)) #s(hole binary64 (* -2 x)))
#s(approx (neg (- (exp (+ x x)) 1)) #s(hole binary64 (* x (- (* -2 x) 2))))
#s(approx (neg (- (exp (+ x x)) 1)) #s(hole binary64 (* x (- (* x (- (* -4/3 x) 2)) 2))))
#s(approx (neg (- (exp (+ x x)) 1)) #s(hole binary64 (* x (- (* x (- (* x (- (* -2/3 x) 4/3)) 2)) 2))))
#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 (neg (neg (- (exp x) -1))) #s(hole binary64 2))
#s(approx (neg (neg (- (exp x) -1))) #s(hole binary64 (+ 2 x)))
#s(approx (neg (neg (- (exp x) -1))) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (neg (neg (- (exp x) -1))) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (neg (- (exp x) -1)) #s(hole binary64 -2))
#s(approx (neg (- (exp x) -1)) #s(hole binary64 (- (* -1 x) 2)))
#s(approx (neg (- (exp x) -1)) #s(hole binary64 (- (* x (- (* -1/2 x) 1)) 2)))
#s(approx (neg (- (exp x) -1)) #s(hole binary64 (- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 2)))
#s(approx (/ (neg (- (exp (* x 3)) 1)) (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x))) #s(hole binary64 (* -1 (/ (- 1 (exp (* 3 x))) (* x (+ 1 (+ (exp x) (pow (exp x) 2))))))))
#s(approx (neg (- (exp (* x 3)) 1)) #s(hole binary64 (- 1 (exp (* 3 x)))))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (- (exp (* 3 x)) 1)))
#s(approx (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x)) #s(hole binary64 (* -1 (* x (+ 1 (+ (exp x) (pow (exp x) 2)))))))
#s(approx (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x) #s(hole binary64 (* x (+ 1 (+ (exp x) (pow (exp x) 2))))))
#s(approx (+ (* (exp x) (exp x)) (- (exp x) -1)) #s(hole binary64 (+ 1 (+ (exp x) (pow (exp x) 2)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (/ (neg (neg (neg (- (exp x) 1)))) (neg (neg (neg x)))) #s(hole binary64 (* -1 (/ (- 1 (exp x)) x))))
#s(approx (neg (neg (neg (- (exp x) 1)))) #s(hole binary64 (- 1 (exp x))))
#s(approx (neg (neg (- (exp x) 1))) #s(hole binary64 (- (exp x) 1)))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (- 1 (exp x))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))))
#s(approx (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x)))))
#s(approx (neg (neg (- (exp (+ x x)) 1))) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (neg (- (exp (+ x x)) 1)) #s(hole binary64 (- 1 (exp (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (neg (neg (- (exp x) -1))) #s(hole binary64 (+ 1 (exp x))))
#s(approx (neg (- (exp x) -1)) #s(hole binary64 (* -1 (+ 1 (exp x)))))
#s(approx (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (* x (+ 1 (exp x))))))
#s(approx (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (+ 1 (exp x)))))
#s(approx (neg (neg (- (exp (+ x x)) 1))) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#s(approx (neg (- (exp (+ x x)) 1)) #s(hole binary64 (- 1 (exp (neg (* -2 x))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((/ (neg (- (exp (* x 3)) 1)) (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x))) (neg (- (exp (* x 3)) 1)) (- (exp (* x 3)) 1) (* x 3) x 3 (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x)) (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x) (+ (* (exp x) (exp x)) (- (exp x) -1)) (exp x) (- (exp x) -1) -1 (/ (neg (neg (neg (- (exp x) 1)))) (neg (neg (neg x)))) (neg (neg (neg (- (exp x) 1)))) (neg (neg (- (exp x) 1))) (neg (- (exp x) 1)) (- (exp x) 1) (neg (neg (neg x))) (neg (neg x)) (neg x) (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) (neg (neg (- (exp (+ x x)) 1))) (neg (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (neg (neg (- (exp x) -1))) (neg (- (exp x) -1)))
5.0ms	x	@	-inf	((/ (neg (- (exp (* x 3)) 1)) (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x))) (neg (- (exp (* x 3)) 1)) (- (exp (* x 3)) 1) (* x 3) x 3 (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x)) (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x) (+ (* (exp x) (exp x)) (- (exp x) -1)) (exp x) (- (exp x) -1) -1 (/ (neg (neg (neg (- (exp x) 1)))) (neg (neg (neg x)))) (neg (neg (neg (- (exp x) 1)))) (neg (neg (- (exp x) 1))) (neg (- (exp x) 1)) (- (exp x) 1) (neg (neg (neg x))) (neg (neg x)) (neg x) (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) (neg (neg (- (exp (+ x x)) 1))) (neg (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (neg (neg (- (exp x) -1))) (neg (- (exp x) -1)))
3.0ms	x	@	0	((/ (neg (- (exp (* x 3)) 1)) (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x))) (neg (- (exp (* x 3)) 1)) (- (exp (* x 3)) 1) (* x 3) x 3 (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x)) (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x) (+ (* (exp x) (exp x)) (- (exp x) -1)) (exp x) (- (exp x) -1) -1 (/ (neg (neg (neg (- (exp x) 1)))) (neg (neg (neg x)))) (neg (neg (neg (- (exp x) 1)))) (neg (neg (- (exp x) 1))) (neg (- (exp x) 1)) (- (exp x) 1) (neg (neg (neg x))) (neg (neg x)) (neg x) (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) (neg (neg (- (exp (+ x x)) 1))) (neg (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (neg (neg (- (exp x) -1))) (neg (- (exp x) -1)))

Time

Variable

Point

Expression

7.0ms

inf

((/ (neg (- (exp (* x 3)) 1)) (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x))) (neg (- (exp (* x 3)) 1)) (- (exp (* x 3)) 1) (* x 3) x 3 (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x)) (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x) (+ (* (exp x) (exp x)) (- (exp x) -1)) (exp x) (- (exp x) -1) -1 (/ (neg (neg (neg (- (exp x) 1)))) (neg (neg (neg x)))) (neg (neg (neg (- (exp x) 1)))) (neg (neg (- (exp x) 1))) (neg (- (exp x) 1)) (- (exp x) 1) (neg (neg (neg x))) (neg (neg x)) (neg x) (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) (neg (neg (- (exp (+ x x)) 1))) (neg (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (neg (neg (- (exp x) -1))) (neg (- (exp x) -1)))

5.0ms

-inf

((/ (neg (- (exp (* x 3)) 1)) (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x))) (neg (- (exp (* x 3)) 1)) (- (exp (* x 3)) 1) (* x 3) x 3 (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x)) (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x) (+ (* (exp x) (exp x)) (- (exp x) -1)) (exp x) (- (exp x) -1) -1 (/ (neg (neg (neg (- (exp x) 1)))) (neg (neg (neg x)))) (neg (neg (neg (- (exp x) 1)))) (neg (neg (- (exp x) 1))) (neg (- (exp x) 1)) (- (exp x) 1) (neg (neg (neg x))) (neg (neg x)) (neg x) (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) (neg (neg (- (exp (+ x x)) 1))) (neg (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (neg (neg (- (exp x) -1))) (neg (- (exp x) -1)))

3.0ms

((/ (neg (- (exp (* x 3)) 1)) (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x))) (neg (- (exp (* x 3)) 1)) (- (exp (* x 3)) 1) (* x 3) x 3 (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x)) (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x) (+ (* (exp x) (exp x)) (- (exp x) -1)) (exp x) (- (exp x) -1) -1 (/ (neg (neg (neg (- (exp x) 1)))) (neg (neg (neg x)))) (neg (neg (neg (- (exp x) 1)))) (neg (neg (- (exp x) 1))) (neg (- (exp x) 1)) (- (exp x) 1) (neg (neg (neg x))) (neg (neg x)) (neg x) (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) (neg (neg (- (exp (+ x x)) 1))) (neg (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (neg (neg (- (exp x) -1))) (neg (- (exp x) -1)))

rewrite186.0ms (7.4%)

Memory

4.4MiB live, 235.7MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	344	1894
0	388	1686
1	1593	1616
0	8237	1535

Stop Event

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

Counts

139 → 283

Calls

Call 1

Inputs
(/.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)))
(neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))
(expm1.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
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 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)
(fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(exp.f64 x)
(-.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x))))
(neg.f64 (neg.f64 (neg.f64 (expm1.f64 x))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(neg.f64 (expm1.f64 x))
(expm1.f64 x)
(neg.f64 (neg.f64 (neg.f64 x)))
(neg.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 (/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) x)
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 (+.f64 x x))))
(neg.f64 (expm1.f64 (+.f64 x x)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (/ (neg (- (exp (* x 3)) 1)) (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x))) #s(hole binary64 1))
#s(approx (/ (neg (- (exp (* x 3)) 1)) (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (neg (- (exp (* x 3)) 1)) (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (neg (- (exp (* x 3)) 1)) (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (neg (- (exp (* x 3)) 1)) #s(hole binary64 (* -3 x)))
#s(approx (neg (- (exp (* x 3)) 1)) #s(hole binary64 (* x (- (* -9/2 x) 3))))
#s(approx (neg (- (exp (* x 3)) 1)) #s(hole binary64 (* x (- (* x (- (* -9/2 x) 9/2)) 3))))
#s(approx (neg (- (exp (* x 3)) 1)) #s(hole binary64 (* x (- (* x (- (* x (- (* -27/8 x) 9/2)) 9/2)) 3))))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (* 3 x)))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (* x (+ 3 (* 9/2 x)))))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (* x (+ 3 (* x (+ 9/2 (* 9/2 x)))))))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x)))))))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x)) #s(hole binary64 (* -3 x)))
#s(approx (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x)) #s(hole binary64 (* x (- (* -3 x) 3))))
#s(approx (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x)) #s(hole binary64 (* x (- (* x (- (* -5/2 x) 3)) 3))))
#s(approx (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x)) #s(hole binary64 (* x (- (* x (- (* x (- (* -3/2 x) 5/2)) 3)) 3))))
#s(approx (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x) #s(hole binary64 (* 3 x)))
#s(approx (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x) #s(hole binary64 (* x (+ 3 (* 3 x)))))
#s(approx (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x) #s(hole binary64 (* x (+ 3 (* x (+ 3 (* 5/2 x)))))))
#s(approx (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x) #s(hole binary64 (* x (+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x)))))))))
#s(approx (+ (* (exp x) (exp x)) (- (exp x) -1)) #s(hole binary64 3))
#s(approx (+ (* (exp x) (exp x)) (- (exp x) -1)) #s(hole binary64 (+ 3 (* 3 x))))
#s(approx (+ (* (exp x) (exp x)) (- (exp x) -1)) #s(hole binary64 (+ 3 (* x (+ 3 (* 5/2 x))))))
#s(approx (+ (* (exp x) (exp x)) (- (exp x) -1)) #s(hole binary64 (+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 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 (- (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 (/ (neg (neg (neg (- (exp x) 1)))) (neg (neg (neg x)))) #s(hole binary64 1))
#s(approx (/ (neg (neg (neg (- (exp x) 1)))) (neg (neg (neg x)))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (neg (neg (neg (- (exp x) 1)))) (neg (neg (neg x)))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (neg (neg (neg (- (exp x) 1)))) (neg (neg (neg x)))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (neg (neg (neg (- (exp x) 1)))) #s(hole binary64 (* -1 x)))
#s(approx (neg (neg (neg (- (exp x) 1)))) #s(hole binary64 (* x (- (* -1/2 x) 1))))
#s(approx (neg (neg (neg (- (exp x) 1)))) #s(hole binary64 (* x (- (* x (- (* -1/6 x) 1/2)) 1))))
#s(approx (neg (neg (neg (- (exp x) 1)))) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)) 1))))
#s(approx (neg (neg (- (exp x) 1))) #s(hole binary64 x))
#s(approx (neg (neg (- (exp x) 1))) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (neg (neg (- (exp x) 1))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (neg (neg (- (exp x) 1))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (* x (- (* -1/2 x) 1))))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (* x (- (* x (- (* -1/6 x) 1/2)) 1))))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)) 1))))
#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 (neg (neg (neg x))) #s(hole binary64 (* -1 x)))
#s(approx (neg (neg x)) #s(hole binary64 x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) #s(hole binary64 1))
#s(approx (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) #s(hole binary64 x))
#s(approx (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (neg (neg (- (exp (+ x x)) 1))) #s(hole binary64 (* 2 x)))
#s(approx (neg (neg (- (exp (+ x x)) 1))) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (neg (neg (- (exp (+ x x)) 1))) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (neg (neg (- (exp (+ x x)) 1))) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (neg (- (exp (+ x x)) 1)) #s(hole binary64 (* -2 x)))
#s(approx (neg (- (exp (+ x x)) 1)) #s(hole binary64 (* x (- (* -2 x) 2))))
#s(approx (neg (- (exp (+ x x)) 1)) #s(hole binary64 (* x (- (* x (- (* -4/3 x) 2)) 2))))
#s(approx (neg (- (exp (+ x x)) 1)) #s(hole binary64 (* x (- (* x (- (* x (- (* -2/3 x) 4/3)) 2)) 2))))
#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 (neg (neg (- (exp x) -1))) #s(hole binary64 2))
#s(approx (neg (neg (- (exp x) -1))) #s(hole binary64 (+ 2 x)))
#s(approx (neg (neg (- (exp x) -1))) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (neg (neg (- (exp x) -1))) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (neg (- (exp x) -1)) #s(hole binary64 -2))
#s(approx (neg (- (exp x) -1)) #s(hole binary64 (- (* -1 x) 2)))
#s(approx (neg (- (exp x) -1)) #s(hole binary64 (- (* x (- (* -1/2 x) 1)) 2)))
#s(approx (neg (- (exp x) -1)) #s(hole binary64 (- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 2)))
#s(approx (/ (neg (- (exp (* x 3)) 1)) (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x))) #s(hole binary64 (* -1 (/ (- 1 (exp (* 3 x))) (* x (+ 1 (+ (exp x) (pow (exp x) 2))))))))
#s(approx (neg (- (exp (* x 3)) 1)) #s(hole binary64 (- 1 (exp (* 3 x)))))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (- (exp (* 3 x)) 1)))
#s(approx (neg (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x)) #s(hole binary64 (* -1 (* x (+ 1 (+ (exp x) (pow (exp x) 2)))))))
#s(approx (* (+ (* (exp x) (exp x)) (- (exp x) -1)) x) #s(hole binary64 (* x (+ 1 (+ (exp x) (pow (exp x) 2))))))
#s(approx (+ (* (exp x) (exp x)) (- (exp x) -1)) #s(hole binary64 (+ 1 (+ (exp x) (pow (exp x) 2)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (/ (neg (neg (neg (- (exp x) 1)))) (neg (neg (neg x)))) #s(hole binary64 (* -1 (/ (- 1 (exp x)) x))))
#s(approx (neg (neg (neg (- (exp x) 1)))) #s(hole binary64 (- 1 (exp x))))
#s(approx (neg (neg (- (exp x) 1))) #s(hole binary64 (- (exp x) 1)))
#s(approx (neg (- (exp x) 1)) #s(hole binary64 (- 1 (exp x))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))))
#s(approx (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x)))))
#s(approx (neg (neg (- (exp (+ x x)) 1))) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (neg (- (exp (+ x x)) 1)) #s(hole binary64 (- 1 (exp (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (neg (neg (- (exp x) -1))) #s(hole binary64 (+ 1 (exp x))))
#s(approx (neg (- (exp x) -1)) #s(hole binary64 (* -1 (+ 1 (exp x)))))
#s(approx (/ (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) x) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (* x (+ 1 (exp x))))))
#s(approx (/ (neg (neg (- (exp (+ x x)) 1))) (neg (neg (- (exp x) -1)))) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (+ 1 (exp x)))))
#s(approx (neg (neg (- (exp (+ x x)) 1))) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#s(approx (neg (- (exp (+ x x)) 1)) #s(hole binary64 (- 1 (exp (neg (* -2 x))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))

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

eval32.0ms (1.3%)

Memory: 4.8MiB live, 50.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 6 850 to 1 279 computations (81.3% saved)

prune531.0ms (21%)

Memory

10.6MiB live, 617.8MiB allocated; 91ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	296	0	296
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	296	3	299

Accuracy

100.0%

Counts

299 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.7%	(/.f64 (/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) x)
✓	100.0%	(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x))))
✓	77.7%	(/.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)))

Status

Accuracy

Program

✓

77.7%

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

✓

100.0%

(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x))))

✓

77.7%

(/.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)))

Compiler

Compiled 92 to 64 computations (30.4% saved)

regimes3.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
(/.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 (neg.f64 (expm1.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) x)

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

Calls

2 calls:

2.0ms	x
1.0ms	(/.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)

regimes2.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.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)))

Outputs
(/.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)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
77.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
77.7%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify60.0ms (2.4%)

Memory

-6.7MiB live, 41.7MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	24
1	55	20
2	95	20
3	141	20
4	202	20
5	242	20
6	256	20
7	258	20
8	260	20
9	276	20
10	458	20
11	3323	20

Stop Event

1×	node limit

Calls

Call 1

Inputs

(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 x)))) (neg.f64 (neg.f64 (neg.f64 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)))

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

derivations55.0ms (2.2%)

Memory

15.5MiB live, 62.8MiB allocated; 1ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 20 to 12 computations (40% saved)

preprocess14.0ms (0.6%)

Memory: -22.8MiB live, 23.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 52 to 34 computations (34.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample854.0ms (33.7%)

explain114.0ms (4.5%)

preprocess344.0ms (13.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series3.0ms (0.1%)

rewrite229.0ms (9%)

eval12.0ms (0.5%)

prune75.0ms (3%)

series16.0ms (0.7%)

rewrite186.0ms (7.4%)

eval32.0ms (1.3%)

prune531.0ms (21%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

simplify60.0ms (2.4%)

derivations55.0ms (2.2%)

preprocess14.0ms (0.6%)

end0.0ms (0%)

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