Metrics for exp2 (problem 3.3.7)

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%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample2.5s (84.7%)

Memory

68.6MiB live, 847.4MiB allocated; 129ms collecting garbage

Samples

1.9s	5 739×	2	valid
267.0ms	2 379×	1	valid
7.0ms	138×	0	valid

Precisions

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

ival-exp: 1.5s (77% of total)

adjust: 297.0ms (15.2% of total)

ival-sub!: 70.0ms (3.6% of total)

ival-add!: 50.0ms (2.6% of total)

ival-neg: 33.0ms (1.7% of total)

Bogosity

preprocess47.0ms (1.6%)

Memory

-34.6MiB live, 9.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	54	24
2	202	18
3	1364	18

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Symmetry

(abs x)

Compiler

Compiled 14 to 14 computations (0% saved)

series6.0ms (0.2%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	286

Stop Event

1×	iter-limit

Counts

7 → 23

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(approx (- (exp x) 2) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x x)
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (- (exp x) 2) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))
1.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))
1.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

Time

Variable

Point

Expression

1.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

1.0ms

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

1.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

rewrite42.0ms (1.4%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	21
1	67	21
0	599	21
1	1682	21

Stop Event

1×	saturated
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

7 → 49

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

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

eval5.0ms (0.2%)

Memory: 5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 418 to 215 computations (48.6% saved)

prune4.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	5	67

Accuracy

100.0%

Counts

67 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
▶	50.5%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
▶	50.1%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
▶	99.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
▶	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))

Compiler

Compiled 108 to 106 computations (1.9% saved)

series9.0ms (0.3%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	451

Stop Event

1×	iter-limit

Counts

24 → 34

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/12 binary64)
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(expm1.f64 x)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx x x)
#s(approx (+ 1 (* 1/12 (pow x 2))) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/12 (pow x 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/12 (pow x 2)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(approx (- (exp x) 2) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) #s(literal 1 binary64)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (* 1/12 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (exp x) 2) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ 1 (* -1 x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (pow x 2) x 2 (+ 1 (* 1/12 (pow x 2))) 1 (* 1/12 (pow x 2)) 1/12 (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)) (+ 1 (* -1 x)) (* -1 x) (+ (- (- (exp x) 1) 1) (exp (neg x))) (- (- (exp x) 1) 1) (- (exp x) 1))
2.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (pow x 2) x 2 (+ 1 (* 1/12 (pow x 2))) 1 (* 1/12 (pow x 2)) 1/12 (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)) (+ 1 (* -1 x)) (* -1 x) (+ (- (- (exp x) 1) 1) (exp (neg x))) (- (- (exp x) 1) 1) (- (exp x) 1))
1.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (pow x 2) x 2 (+ 1 (* 1/12 (pow x 2))) 1 (* 1/12 (pow x 2)) 1/12 (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)) (+ 1 (* -1 x)) (* -1 x) (+ (- (- (exp x) 1) 1) (exp (neg x))) (- (- (exp x) 1) 1) (- (exp x) 1))

Time

Variable

Point

Expression

2.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (pow x 2) x 2 (+ 1 (* 1/12 (pow x 2))) 1 (* 1/12 (pow x 2)) 1/12 (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)) (+ 1 (* -1 x)) (* -1 x) (+ (- (- (exp x) 1) 1) (exp (neg x))) (- (- (exp x) 1) 1) (- (exp x) 1))

2.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (pow x 2) x 2 (+ 1 (* 1/12 (pow x 2))) 1 (* 1/12 (pow x 2)) 1/12 (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)) (+ 1 (* -1 x)) (* -1 x) (+ (- (- (exp x) 1) 1) (exp (neg x))) (- (- (exp x) 1) 1) (- (exp x) 1))

1.0ms

((+ (- (exp x) 2) (exp (neg x))) (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (pow x 2) x 2 (+ 1 (* 1/12 (pow x 2))) 1 (* 1/12 (pow x 2)) 1/12 (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)) (+ 1 (* -1 x)) (* -1 x) (+ (- (- (exp x) 1) 1) (exp (neg x))) (- (- (exp x) 1) 1) (- (exp x) 1))

rewrite88.0ms (3%)

Memory

-20.2MiB live, 26.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	135
0	46	131
1	249	128
0	2103	122
1	5972	122

Stop Event

1×	saturated
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

24 → 257

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/12 binary64)
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(expm1.f64 x)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x) x) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)))
(.f64 x (.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x (.f64 x x))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
(fma.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x)) (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x))
(fma.f64 #s(literal -1 binary64) (.f64 x (neg.f64 x)) (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 x x) (.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x))
(fma.f64 x (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 x x))
(fma.f64 x x (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 (.f64 x x)) (.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(-.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) (*.f64 x x)))
(-.f64 (.f64 x x) (neg.f64 (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x)))
(+.f64 (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) x) x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (neg.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (.f64 (.f64 x x) #s(literal -1 binary64)))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
x
#s(literal 2 binary64)
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1/12 binary64) x) x)
(.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 x x))) #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 x x))))
#s(literal 1/12 binary64)
(/.f64 (fma.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(neg.f64 (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(approx (- (exp x) 2) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) #s(approx (- (exp x) 2) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(approx (- (exp x) 2) #s(literal -1 binary64))))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64))))
(-.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(approx (- (exp x) 2) #s(literal -1 binary64))))
(+.f64 (exp.f64 (neg.f64 x)) #s(approx (- (exp x) 2) #s(literal -1 binary64)))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(sqrt.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(-.f64 (cosh.f64 x) (neg.f64 (sinh.f64 (neg.f64 x))))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(fabs.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (neg.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(neg.f64 (-.f64 (neg.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(neg.f64 (-.f64 (-.f64 #s(literal 2 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (exp.f64 x)))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (neg.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (+.f64 #s(literal -1 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (+.f64 #s(literal -2 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (-.f64 #s(literal -2 binary64) (neg.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (neg.f64 (-.f64 #s(literal 2 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (expm1.f64 x)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (exp.f64 x)) #s(literal 2 binary64))
(-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (expm1.f64 x)))
(-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (neg.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (expm1.f64 x)) #s(literal -1 binary64))
(+.f64 (+.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (exp.f64 x)) #s(literal -2 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 #s(literal 2 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (expm1.f64 x) (+.f64 #s(literal -1 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (expm1.f64 x) (-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (exp.f64 x) (-.f64 #s(literal -2 binary64) (neg.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 2 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 x)))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -2 binary64))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 #s(literal -2 binary64) (exp.f64 x))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -2 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 2 binary64)))
(+.f64 (expm1.f64 x) #s(literal -1 binary64))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(+.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(neg.f64 (+.f64 x #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) x))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 x)
(/.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(neg.f64 (-.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (expm1.f64 x)))
(neg.f64 (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))) (exp.f64 x)))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) (neg.f64 (neg.f64 (expm1.f64 (neg.f64 x)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))))
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (neg.f64 (neg.f64 (expm1.f64 (neg.f64 x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (-.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (-.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(-.f64 (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)) #s(literal 1 binary64))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(-.f64 (expm1.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))
(-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (expm1.f64 x)))
(+.f64 (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)) #s(literal -1 binary64))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -2 binary64))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))))
(+.f64 (expm1.f64 x) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (expm1.f64 x) (-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (expm1.f64 x) (neg.f64 (neg.f64 (expm1.f64 (neg.f64 x)))))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))))
(+.f64 (exp.f64 x) (-.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 x)))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -2 binary64))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 #s(literal -2 binary64) (exp.f64 x))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -2 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 2 binary64)))
(+.f64 (expm1.f64 x) #s(literal -1 binary64))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(+.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (expm1.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 x)))
(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 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.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))

eval23.0ms (0.8%)

Memory: 24.7MiB live, 24.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 832 to 815 computations (55.5% saved)

prune8.0ms (0.3%)

Memory

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

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	297	3	300
Fresh	0	0	0
Picked	5	0	5
Done	0	0	0
Total	302	3	305

Accuracy

100.0%

Counts

305 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(-.f64 (expm1.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))
▶	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
▶	99.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Status

Accuracy

Program

▶

52.8%

(-.f64 (expm1.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))

▶

99.7%

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))

▶

99.5%

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 29 to 28 computations (3.4% saved)

series16.0ms (0.6%)

Memory

-48.6MiB live, 5.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	401

Stop Event

1×	iter-limit

Counts

13 → 28

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(-.f64 (expm1.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))
(expm1.f64 x)
(neg.f64 (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 x)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx x x)
#s(approx (+ (* 1/12 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/12 (* x x)) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (neg (- (exp (neg x)) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
#s(approx (neg (- (exp (neg x)) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (neg (- (exp (neg x)) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (* (+ (* 1/12 (* x x)) 1) (* x x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* 1/12 (* x x)) 1) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* 1/12 (* x x)) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (neg (- (exp (neg x)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
#s(approx (neg (- (exp (neg x)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (*.f64 #s(literal -1 binary64) x)))

Calls

3 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (* x x) x (+ (- (exp x) 2) (exp (neg x))) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (* 1/12 (* x x)) 1) 1/12 1 (- (- (exp x) 1) (neg (- (exp (neg x)) 1))) (- (exp x) 1) (neg (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x))
1.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (* x x) x (+ (- (exp x) 2) (exp (neg x))) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (* 1/12 (* x x)) 1) 1/12 1 (- (- (exp x) 1) (neg (- (exp (neg x)) 1))) (- (exp x) 1) (neg (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x))
1.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (* x x) x (+ (- (exp x) 2) (exp (neg x))) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (* 1/12 (* x x)) 1) 1/12 1 (- (- (exp x) 1) (neg (- (exp (neg x)) 1))) (- (exp x) 1) (neg (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x))

Time

Variable

Point

Expression

10.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (* x x) x (+ (- (exp x) 2) (exp (neg x))) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (* 1/12 (* x x)) 1) 1/12 1 (- (- (exp x) 1) (neg (- (exp (neg x)) 1))) (- (exp x) 1) (neg (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x))

1.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (* x x) x (+ (- (exp x) 2) (exp (neg x))) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (* 1/12 (* x x)) 1) 1/12 1 (- (- (exp x) 1) (neg (- (exp (neg x)) 1))) (- (exp x) 1) (neg (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x))

1.0ms

((+ (- (exp x) 2) (exp (neg x))) (* x x) x (+ (- (exp x) 2) (exp (neg x))) (* (+ (* 1/12 (* x x)) 1) (* x x)) (+ (* 1/12 (* x x)) 1) 1/12 1 (- (- (exp x) 1) (neg (- (exp (neg x)) 1))) (- (exp x) 1) (neg (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x))

rewrite62.0ms (2.1%)

Memory

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	71
0	29	70
1	165	66
0	1464	66
1	4232	66

Stop Event

1×	saturated
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

13 → 123

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(-.f64 (expm1.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))
(expm1.f64 x)
(neg.f64 (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 x)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 x x)))
(neg.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/12 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/12 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x))))
(+.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(/.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(neg.f64 (+.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (neg.f64 x)))))
(neg.f64 (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (exp.f64 x)))
(neg.f64 (-.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (expm1.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (+.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (-.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (-.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))))
(-.f64 (+.f64 (expm1.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1 binary64))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(-.f64 (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(-.f64 (expm1.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))
(-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))
(+.f64 (+.f64 (expm1.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1 binary64))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -2 binary64))
(+.f64 (+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
(+.f64 (expm1.f64 x) (expm1.f64 (neg.f64 x)))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (-.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))))
(+.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.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 (expm1.f64 x) (exp.f64 x))
(neg.f64 (expm1.f64 (neg.f64 x)))
(-.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(neg.f64 (neg.f64 (expm1.f64 (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(expm1.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(expm1.f64 (neg.f64 x))
(-.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 (neg.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(neg.f64 x)

eval13.0ms (0.4%)

Memory: 13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 020 to 488 computations (52.2% saved)

prune5.0ms (0.2%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	151	4	155

Accuracy

100.0%

Counts

155 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(-.f64 (expm1.f64 x) (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))))
▶	52.8%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
✓	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
✓	99.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 39 to 38 computations (2.6% saved)

series5.0ms (0.2%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	299

Stop Event

1×	iter-limit

Counts

10 → 22

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp (neg x)) 1) (- (exp x) 1)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (- (exp (neg x)) 1) (- (exp x) 1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (- (exp (neg x)) 1) (- (exp x) 1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (- (exp (neg x)) 1) (- (exp x) 1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
#s(approx x x)
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (neg (- (exp (neg x)) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
#s(approx (neg (- (exp (neg x)) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (neg (- (exp (neg x)) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (+ (- (exp (neg x)) 1) (- (exp x) 1)) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (neg (- (exp (neg x)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
#s(approx (+ (- (exp (neg x)) 1) (- (exp x) 1)) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (neg (- (exp (neg x)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (neg x) x (- (exp x) 1) (- (- (exp x) 1) (neg (- (exp (neg x)) 1))) (neg (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* -1 x) -1)
1.0ms	x	@	-inf	((+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (neg x) x (- (exp x) 1) (- (- (exp x) 1) (neg (- (exp (neg x)) 1))) (neg (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* -1 x) -1)
1.0ms	x	@	0	((+ (- (exp (neg x)) 1) (- (exp x) 1)) (- (exp (neg x)) 1) (neg x) x (- (exp x) 1) (- (- (exp x) 1) (neg (- (exp (neg x)) 1))) (neg (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* -1 x) -1)

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

rewrite59.0ms (2%)

Memory

-29.4MiB live, 17.3MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
0	23	39
1	116	39
0	1041	39
1	3010	39

Stop Event

1×	saturated
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

10 → 84

Calls

Call 1

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

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

eval9.0ms (0.3%)

Memory: 9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 736 to 294 computations (60.1% saved)

prune5.0ms (0.2%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	109	4	113

Accuracy

100.0%

Counts

113 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.8%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
	51.0%	(+.f64 (expm1.f64 x) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))
✓	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
✓	99.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 111 to 83 computations (25.2% saved)

regimes6.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(+.f64 (expm1.f64 x) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))
(-.f64 (expm1.f64 x) (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
(-.f64 (expm1.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))

Calls

2 calls:

3.0ms	x
2.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.7%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.7%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Accuracy

Total -31.7b remaining (-10556.3%)

Threshold costs -31.7b (-10556.3%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(+.f64 (expm1.f64 x) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))
(-.f64 (expm1.f64 x) (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Calls

2 calls:

2.0ms	x
1.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.5%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.5%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

derivations11.0ms (0.4%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 21 to 14 computations (33.3% saved)

preprocess23.0ms (0.8%)

Memory: -27.5MiB live, 19.1MiB allocated; 3ms collecting garbage
Remove: (abs x)
Compiler: Compiled 84 to 72 computations (14.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.5s (84.7%)

preprocess47.0ms (1.6%)

series6.0ms (0.2%)

rewrite42.0ms (1.4%)

eval5.0ms (0.2%)

prune4.0ms (0.1%)

series9.0ms (0.3%)

rewrite88.0ms (3%)

eval23.0ms (0.8%)

prune8.0ms (0.3%)

series16.0ms (0.6%)

rewrite62.0ms (2.1%)

eval13.0ms (0.4%)

prune5.0ms (0.2%)

series5.0ms (0.2%)

rewrite59.0ms (2%)

eval9.0ms (0.3%)

prune5.0ms (0.2%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

derivations11.0ms (0.4%)

preprocess23.0ms (0.8%)

end0.0ms (0%)

Profiling