Metrics for Kahan's exp quotient

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample679.0ms (14.8%)

Memory

40.5MiB live, 585.8MiB allocated; 234ms collecting garbage

Samples

437.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-expm1: 118.0ms (62% of total)

ival-div!: 71.0ms (37.3% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess89.0ms (1.9%)

Memory

-26.5MiB live, 18.6MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	36	21
2	123	21
3	477	21
4	6645	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.4%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 10 to 10 computations (0% saved)

series3.0ms (0.1%)

Memory

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

Counts

5 → 14

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite778.0ms (17%)

Memory

11.5MiB live, 530.4MiB allocated; 227ms collecting garbage

Counts

19 → 60

Calls

Call 1

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

Outputs
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(expm1.f64 x)
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.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 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(exp.f64 x)
(exp.f64 (+.f64 x #s(literal 0 binary64)))
x
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(fabs.f64 #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
#s(approx (- (exp x) 1) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
#s(approx (- (exp x) 1) (*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))

eval5.0ms (0.1%)

Memory: 11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 350 to 206 computations (41.1% saved)

prune3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	4	57

Accuracy

100.0%

Counts

57 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 x) x)
▶	61.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	48.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	48.7%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 30 to 30 computations (0% saved)

series4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Counts

12 → 19

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite843.0ms (18.4%)

Memory

37.4MiB live, 1 026.0MiB allocated; 392ms collecting garbage

Counts

31 → 224

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(fabs.f64 #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 x x)
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 2 binary64)))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 x #s(literal 0 binary64))
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(fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (.f64 #s(literal 1/6 binary64) x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (.f64 #s(literal 1/6 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 #s(literal 1/6 binary64))) x))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))
(-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) x))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/6 binary64) x)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x))) x) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 x (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (.f64 x x) (.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/6 binary64) x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/6 binary64) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/6 binary64) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 (neg.f64 #s(literal 1/6 binary64))) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (*.f64 (neg.f64 (neg.f64 #s(literal 1/6 binary64))) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (neg.f64 #s(literal 1/6 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (neg.f64 #s(literal 1/6 binary64))) x))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 #s(literal 1/6 binary64))) x))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 #s(literal 1/6 binary64))) x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(fabs.f64 #s(literal 1/6 binary64))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
(/.f64 (-.f64 (.f64 (exp.f64 x) (neg.f64 x)) (.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(expm1.f64 x)
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/6 x)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (- (exp x) 1) (fma.f64 x (*.f64 #s(literal 1/2 binary64) x) x))
#s(approx (- (exp x) 1) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (- (exp x) 1) (*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ 1 (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(approx (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
#s(approx (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)))
#s(approx (+ 1/2 (* 1/6 x)) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ 1/2 (* 1/6 x)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (- (exp x) 1) (expm1.f64 x))

eval56.0ms (1.2%)

Memory: 3.8MiB live, 87.0MiB allocated; 26ms collecting garbage
Compiler: Compiled 1 763 to 826 computations (53.1% saved)

prune47.0ms (1%)

Memory

-38.9MiB live, 16.1MiB allocated; 43ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	265	4	269
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	265	8	273

Accuracy

100.0%

Counts

273 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	61.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	48.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	48.5%	#s(approx (/ (- (exp x) 1) x) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
▶	16.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))))
▶	16.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
▶	3.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
✓	48.7%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 84 to 84 computations (0% saved)

series10.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

18 → 18

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- (exp x) 1) x) (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (* 1/6 (* x x)) 1/6 (* x x) (/ (- (exp x) 1) x) (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (* x (+ (* 1/6 x) 1/2)) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (* (/ 1 x) x) (/ 1 x) 1)
3.0ms	x	@	inf	((/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- (exp x) 1) x) (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (* 1/6 (* x x)) 1/6 (* x x) (/ (- (exp x) 1) x) (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (* x (+ (* 1/6 x) 1/2)) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (* (/ 1 x) x) (/ 1 x) 1)
2.0ms	x	@	0	((/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- (exp x) 1) x) (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (* 1/6 (* x x)) 1/6 (* x x) (/ (- (exp x) 1) x) (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (* x (+ (* 1/6 x) 1/2)) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (* (/ 1 x) x) (/ 1 x) 1)

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite916.0ms (20%)

Memory

24.8MiB live, 490.5MiB allocated; 221ms collecting garbage

Counts

36 → 322

Calls

Call 1

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

Outputs
#s(approx (/ (+ (exp x) -1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 x #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)
(/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(*.f64 x (/.f64 #s(literal 1/2 binary64) x))
(fabs.f64 #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) x)
x
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 x x) x)
#s(approx (/ (+ (exp x) -1) x) #s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(fabs.f64 #s(literal 1/6 binary64))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal 1 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1 binary64))) (fabs.f64 (pow.f64 x #s(literal 1 binary64))))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
#s(approx (/ (+ (exp x) -1) x) #s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x)
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 x #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
(.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (neg.f64 (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x)))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) x))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (*.f64 x x)) #s(literal 1/6 binary64)))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (.f64 x x)))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 #s(literal 1/6 binary64)) (*.f64 x x)))
(/.f64 (.f64 x (.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) x)
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))) x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))
(/.f64 (.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) x))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (.f64 x x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)))))
(fma.f64 x (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/2 binary64) x))
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(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 x #s(literal 0 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 x (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (neg.f64 #s(literal -1 binary64)) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(*.f64 x (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(fabs.f64 #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 x x)
(/.f64 (.f64 x x) (.f64 x x))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 (neg.f64 x) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 x #s(literal 0 binary64))
#s(approx (/ (+ (exp x) -1) x) #s(literal 1 binary64))
#s(approx (/ (+ (exp x) -1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ (exp x) -1) x) (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (+ (exp x) -1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (* 1/6 (* x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* x (+ 1/2 (* 1/6 x))) (*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/6 x)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (exp x) -1) x) (/.f64 (expm1.f64 x) x))
#s(approx (+ 1 (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/6 x)) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ 1/2 (* 1/6 x)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))

eval37.0ms (0.8%)

Memory: -1.9MiB live, 42.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 174 to 1 110 computations (48.9% saved)

prune10.0ms (0.2%)

Memory

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

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	292	2	294
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	292	10	302

Accuracy

100.0%

Counts

302 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	61.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	48.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	26.9%	#s(approx (/ (- (exp x) 1) x) (.f64 (/.f64 x (.f64 x x)) x))
✓	48.5%	#s(approx (/ (- (exp x) 1) x) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
▶	16.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
✓	16.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))))
✓	16.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
✓	3.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
✓	48.7%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 109 to 109 computations (0% saved)

series4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

10 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite833.0ms (18.2%)

Memory

-38.8MiB live, 207.3MiB allocated; 38ms collecting garbage

Counts

22 → 133

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(fabs.f64 #s(literal 1/6 binary64))
x
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) x))
(*.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (/.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (fabs.f64 x) (fabs.f64 x)) (/.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 1 binary64))) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 x) x))
(*.f64 (/.f64 (neg.f64 x) (fabs.f64 x)) (/.f64 (neg.f64 x) (fabs.f64 x)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1 binary64)) x) (/.f64 (pow.f64 x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal 1 binary64)) (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 (pow.f64 x #s(literal 1 binary64)) (fabs.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 x (neg.f64 x)))
(*.f64 (/.f64 x (fabs.f64 x)) (/.f64 x (fabs.f64 x)))
(*.f64 (/.f64 x (pow.f64 x #s(literal 1 binary64))) (/.f64 x (pow.f64 x #s(literal 1 binary64))))
(.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 x x)))
(.f64 (neg.f64 x) (/.f64 (neg.f64 x) (.f64 x x)))
(.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1 binary64)) (.f64 x x)))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(fabs.f64 #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(/.f64 x x)
(/.f64 (.f64 x x) (.f64 x x))
(/.f64 (*.f64 #s(literal 1 binary64) x) x)
(/.f64 (*.f64 x #s(literal 1 binary64)) x)
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 x x) x) x)
(/.f64 (neg.f64 x) (neg.f64 x))
(/.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1 binary64)))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(exp.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (/.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 x) (fabs.f64 x)) (/.f64 (fabs.f64 x) (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 1 binary64))) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 x) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 x) (fabs.f64 x)) (/.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 1 binary64)) x) (/.f64 (pow.f64 x #s(literal 1 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 1 binary64)) (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 1 binary64)) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 (pow.f64 x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 x (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 x (fabs.f64 x)) (/.f64 x (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 x (pow.f64 x #s(literal 1 binary64))) (/.f64 x (pow.f64 x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 x #s(literal 0 binary64))
(*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(/.f64 x (*.f64 x x))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 x (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 x (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 x (pow.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 #s(literal -1 binary64)) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 x x)))
(neg.f64 (/.f64 x (neg.f64 (*.f64 x x))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 x #s(literal -1 binary64))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1 binary64))) (fabs.f64 (pow.f64 x #s(literal 1 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.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 (neg.f64 (pow.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal 1 binary64))))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* 1/6 (* x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx x x)
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x x)))
#s(approx (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 x x)))

eval43.0ms (0.9%)

Memory: 22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 693 to 405 computations (41.6% saved)

prune15.0ms (0.3%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	117	11	128

Accuracy

100.0%

Counts

128 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	61.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	48.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
	38.8%	#s(approx (/ (- (exp x) 1) x) (/.f64 (/.f64 (*.f64 x x) x) x))
✓	26.9%	#s(approx (/ (- (exp x) 1) x) (.f64 (/.f64 x (.f64 x x)) x))
✓	48.5%	#s(approx (/ (- (exp x) 1) x) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
✓	16.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
✓	16.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))))
✓	16.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* (+ 1/2 (* 1/6 x)) x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
✓	3.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
✓	48.7%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 181 to 168 computations (7.2% saved)

regimes18.0ms (0.4%)

Memory

-32.7MiB live, 13.7MiB allocated; 4ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes13.0ms (0.3%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
61.4%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
61.4%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes11.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
61.4%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
61.4%	2	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes6.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
61.4%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
61.4%	2	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes4.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Accuracy

Total -29.2b remaining (-89%)

Threshold costs -29.2b (-89%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
48.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
48.7%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

bsearch15.0ms (0.3%)

Memory

-38.4MiB live, 7.9MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0009963606075127779	4516.4485976329615

Samples

8.0ms

144×

valid

Compiler

Compiled 225 to 241 computations (-7.1% saved)

Precisions

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

ival-expm1: 2.0ms (81.7% of total)

ival-div!: 1.0ms (40.8% of total)

adjust: 0.0ms (0% of total)

bsearch10.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0009963606075127779	4516.4485976329615

Samples

4.0ms

128×

valid

Compiler

Compiled 216 to 232 computations (-7.4% saved)

Precisions

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

ival-expm1: 1.0ms (47.6% of total)

ival-div!: 1.0ms (47.6% of total)

adjust: 0.0ms (0% of total)

derivations2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 41 to 33 computations (19.5% saved)

preprocess128.0ms (2.8%)

Memory: 28.3MiB live, 73.6MiB allocated; 18ms collecting garbage
Compiler: Compiled 63 to 50 computations (20.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample679.0ms (14.8%)

preprocess89.0ms (1.9%)

series3.0ms (0.1%)

rewrite778.0ms (17%)

eval5.0ms (0.1%)

prune3.0ms (0.1%)

series4.0ms (0.1%)

rewrite843.0ms (18.4%)

eval56.0ms (1.2%)

prune47.0ms (1%)

series10.0ms (0.2%)

rewrite916.0ms (20%)

eval37.0ms (0.8%)

prune10.0ms (0.2%)

series4.0ms (0.1%)

rewrite833.0ms (18.2%)

eval43.0ms (0.9%)

prune15.0ms (0.3%)

regimes18.0ms (0.4%)

regimes13.0ms (0.3%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch15.0ms (0.3%)

bsearch10.0ms (0.2%)

derivations2.0ms (0%)

preprocess128.0ms (2.8%)

end0.0ms (0%)

Profiling