Metrics for expm1 (example 3.7)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample379.0ms (22%)

Memory

0.8MiB live, 369.6MiB allocated; 53ms collecting garbage

Samples

212.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-expm1: 63.0ms (93.8% of total)

adjust: 2.0ms (3% of total)

ival-assert: 2.0ms (3% of total)

Bogosity

explain54.0ms (3.2%)

Memory

15.0MiB live, 61.0MiB allocated; 5ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
254	1	(0.0056822984391618585)	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
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	255	0

Confusion

	Predicted +	Predicted -
+	254	0
-	1	1

Precision

0.996078431372549

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	0	0
-	1	0	1

Precision?

0.996078431372549

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

18.0ms

512×

valid

Compiler

Compiled 24 to 16 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 4.0ms (47.6% of total)

ival-expm1: 3.0ms (35.7% 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)

preprocess230.0ms (13.4%)

Memory

-11.3MiB live, 175.7MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	18	15
2	42	15
3	149	15
4	718	15
5	7965	15
0	4	4
0	6	4
1	11	4
2	24	4
3	58	4
4	239	4
5	2498	4
0	8659	2

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Compiler

Compiled 4 to 4 computations (0% saved)

series1.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Counts

4 → 11

Calls

Call 1

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

Outputs
#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) #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) (exp x) x 1)
0.0ms	x	@	inf	((- (exp x) 1) (exp x) x 1)
0.0ms	x	@	0	((- (exp x) 1) (exp x) x 1)

rewrite193.0ms (11.2%)

Memory

-16.9MiB live, 174.6MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	117
0	40	117
1	226	117
2	2046	117
0	8915	92

Stop Event

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

Counts

15 → 63

Calls

Call 1

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

eval7.0ms (0.4%)

Memory: 10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 066 to 209 computations (80.4% saved)

prune5.0ms (0.3%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	1	64

Accuracy

100.0%

Counts

64 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.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)))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Counts

9 → 27

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

0.0ms

inf

((* (/ (- (exp x) -1) (- (exp x) -1)) (/ (- (exp x) 1) 1)) (/ (- (exp x) -1) (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (/ (- (exp x) 1) 1) (- (exp x) 1) 1)

0.0ms

-inf

((* (/ (- (exp x) -1) (- (exp x) -1)) (/ (- (exp x) 1) 1)) (/ (- (exp x) -1) (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (/ (- (exp x) 1) 1) (- (exp x) 1) 1)

0.0ms

((* (/ (- (exp x) -1) (- (exp x) -1)) (/ (- (exp x) 1) 1)) (/ (- (exp x) -1) (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (/ (- (exp x) 1) 1) (- (exp x) 1) 1)

rewrite104.0ms (6%)

Memory

-10.9MiB live, 81.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	373
0	78	303
1	337	273
0	3135	245

Stop Event

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

Counts

36 → 293

Calls

Call 1

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

Outputs
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (expm1.f64 x)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (expm1.f64 x) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(.f64 (.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))
(*.f64 (expm1.f64 x) #s(literal 1 binary64))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x)))
(/.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 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (neg.f64 (-.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))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (-.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))) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #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 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 (neg.f64 (expm1.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (expm1.f64 x) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (*.f64 (expm1.f64 x) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (*.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 (-.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 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (expm1.f64 x))) (.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 x)) (.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 x)) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (*.f64 (-.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 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 (expm1.f64 x))) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #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 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 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))) #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))))
(/.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (expm1.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (/.f64 (exp.f64 x) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64) #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)) #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))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(expm1.f64 (-.f64 x #s(literal 0 binary64)))
(expm1.f64 (+.f64 #s(literal 0 binary64) x))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.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 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (-.f64 (exp.f64 x) (/.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))))
(+.f64 (cosh.f64 x) (-.f64 (sinh.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 #s(literal -1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (.f64 (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 (expm1.f64 x) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (expm1.f64 x))
(/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (-.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 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (expm1.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (exp.f64 x) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64) #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)) #s(literal 1 binary64))
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(/.f64 (.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 (-.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 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (expm1.f64 x))) (.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 x)) (.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 x)) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (*.f64 (-.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 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 (expm1.f64 x))) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #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 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 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))) #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))))
(/.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (expm1.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (/.f64 (exp.f64 x) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64) #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)) #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))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(expm1.f64 (-.f64 x #s(literal 0 binary64)))
(expm1.f64 (+.f64 #s(literal 0 binary64) x))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.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 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (-.f64 (exp.f64 x) (/.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))))
(+.f64 (cosh.f64 x) (-.f64 (sinh.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 #s(literal -1 binary64) (exp.f64 x))
#s(literal 1 binary64)
#s(approx (* (/ (- (exp x) -1) (- (exp x) -1)) (/ (- (exp x) 1) 1)) x)
#s(approx (* (/ (- (exp x) -1) (- (exp x) -1)) (/ (- (exp x) 1) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (/ (- (exp x) -1) (- (exp x) -1)) (/ (- (exp x) 1) 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) (- (exp x) -1)) (/ (- (exp x) 1) 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) (- (exp x) -1)) #s(literal 1 binary64))
#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 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) (- (exp x) -1)) (/ (- (exp x) 1) 1)) x)
#s(approx (* (/ (- (exp x) -1) (- (exp x) -1)) (/ (- (exp x) 1) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (/ (- (exp x) -1) (- (exp x) -1)) (/ (- (exp x) 1) 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) (- (exp x) -1)) (/ (- (exp x) 1) 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) (- (exp x) -1)) (/ (- (exp x) 1) 1)) x)
#s(approx (* (/ (- (exp x) -1) (- (exp x) -1)) (/ (- (exp x) 1) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (/ (- (exp x) -1) (- (exp x) -1)) (/ (- (exp x) 1) 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) (- (exp x) -1)) (/ (- (exp x) 1) 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) (- (exp x) -1)) (/ (- (exp x) 1) 1)) (expm1.f64 x))
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (* (/ (- (exp x) -1) (- (exp x) -1)) (/ (- (exp x) 1) 1)) (expm1.f64 x))
#s(approx (* (/ (- (exp x) -1) (- (exp x) -1)) (/ (- (exp x) 1) 1)) (expm1.f64 x))

eval22.0ms (1.3%)

Memory: 33.7MiB live, 33.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 331 to 649 computations (85% saved)

prune625.0ms (36.2%)

Memory

8.4MiB live, 485.2MiB allocated; 118ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	234	0	234
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	234	1	235

Accuracy

100.0%

Counts

235 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.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)))

Compiler

Compiled 32 to 19 computations (40.6% saved)

regimes6.0ms (0.3%)

Memory

-40.6MiB live, 5.8MiB allocated; 2ms collecting garbage

Accuracy

Total -58.9b remaining (-∞%)

Threshold costs -58.9b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(-.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)))

Outputs
(*.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)))

Calls

3 calls:

4.0ms	x
1.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))
1.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

simplify46.0ms (2.7%)

Memory

43.2MiB live, 43.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	14	12
2	20	12
3	29	12
4	52	12
5	225	12
6	2283	12
7	5400	12

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.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)))

Outputs

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

derivations35.0ms (2%)

Memory

-42.8MiB live, 3.7MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 12 to 7 computations (41.7% saved)

preprocess14.0ms (0.8%)

Memory: 18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 36 to 26 computations (27.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample379.0ms (22%)

explain54.0ms (3.2%)

preprocess230.0ms (13.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series1.0ms (0.1%)

rewrite193.0ms (11.2%)

eval7.0ms (0.4%)

prune5.0ms (0.3%)

series2.0ms (0.1%)

rewrite104.0ms (6%)

eval22.0ms (1.3%)

prune625.0ms (36.2%)

regimes6.0ms (0.3%)

simplify46.0ms (2.7%)

derivations35.0ms (2%)

preprocess14.0ms (0.8%)

end0.0ms (0%)

Profiling