Metrics for expq2 (section 3.11)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
50%	37.6%	37.6%	24.8%	0%	0%	0%	2
75%	56.4%	18.8%	24.8%	0%	0%	0%	3
87.5%	65.8%	9.4%	24.8%	0%	0%	0%	4
93.8%	70.5%	4.7%	24.8%	0%	0%	0%	5
96.9%	72.8%	2.3%	24.8%	0%	0%	0%	6
98.4%	74%	1.2%	24.8%	0%	0%	0%	7
99.2%	74.6%	0.6%	24.8%	0%	0%	0%	8
99.6%	74.9%	0.3%	24.8%	0%	0%	0%	9
99.8%	75%	0.1%	24.8%	0%	0%	0%	10
99.9%	75.1%	0.1%	24.8%	0%	0%	0%	11
100%	75.1%	0%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample519.0ms (33.6%)

Memory

7.0MiB live, 570.8MiB allocated; 121ms collecting garbage

Samples

337.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-exp: 73.0ms (42.2% of total)

ival-expm1: 51.0ms (29.5% of total)

ival-div!: 48.0ms (27.7% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess32.0ms (2.1%)

Memory

40.9MiB live, 40.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	41	25
2	160	25
3	754	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.4%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

series17.0ms (1.1%)

Memory

-39.0MiB live, 6.2MiB allocated; 8ms collecting garbage

Counts

5 → 16

Calls

Call 1

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 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) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)
1.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)
1.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)

rewrite136.0ms (8.8%)

Memory

14.7MiB live, 155.8MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	209
0	68	209
1	382	209
0	3681	164

Stop Event

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

Counts

21 → 57

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 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) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))

Outputs
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (expm1.f64 x))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (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))
(/.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 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.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 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x 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))
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))

eval5.0ms (0.3%)

Memory: 11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 411 to 188 computations (54.3% saved)

prune4.0ms (0.3%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	6	54

Accuracy

100.0%

Counts

54 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	98.5%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
	61.0%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	61.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	60.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
▶	61.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 120 to 112 computations (6.7% saved)

series9.0ms (0.6%)

Memory

-29.6MiB live, 14.2MiB allocated; 4ms collecting garbage

Counts

18 → 42

Calls

Call 1

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1))
2.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1))
1.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1))

Time

Variable

Point

Expression

5.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite192.0ms (12.4%)

Memory

43.2MiB live, 135.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	617
0	137	580
1	619	560
0	5543	546

Stop Event

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

Counts

60 → 332

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(literal 1/12 binary64)
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (- (exp x) 1) x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))

Outputs
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (expm1.f64 x))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.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 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x 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 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x 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 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) x))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 x) (neg.f64 x)) (.f64 (neg.f64 x) x))
(/.f64 (+.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x) (.f64 x x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
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#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* 1/2 x) 1) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/12 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/12 x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) x))

eval67.0ms (4.3%)

Memory: -52.2MiB live, 56.9MiB allocated; 33ms collecting garbage
Compiler: Compiled 2 525 to 1 134 computations (55.1% saved)

prune9.0ms (0.6%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	318	5	323
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	318	11	329

Accuracy

100.0%

Counts

329 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.5%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
▶	61.1%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
	61.0%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	61.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	60.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
▶	61.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
✓	61.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	60.8%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
▶	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 204 to 189 computations (7.4% saved)

series5.0ms (0.3%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

20 → 36

Calls

Call 1

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ 2 (* 2 x)) #s(hole binary64 (/ 1 x)))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 1/2))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite148.0ms (9.6%)

Memory

-11.9MiB live, 130.5MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	660
0	108	619
1	462	619
0	4439	571

Stop Event

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

Counts

56 → 271

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
x
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ 2 (* 2 x)) #s(hole binary64 (/ 1 x)))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 1/2))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x)))
(/.f64 #s(literal -4 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 x x)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
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(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/24 binary64) x))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/144 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
(/.f64 (fma.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x))))
(/.f64 (fma.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) x) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(neg.f64 (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))) (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))))
(-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/12 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x))
(+.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) x)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) x)) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/24 binary64) x)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/24 binary64) x)))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) x)) (fma.f64 (.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/12 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* 2 x) (+.f64 x x))
#s(approx x x)
#s(approx (/ (+ (* 1/2 x) 1) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* 1/2 x) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (- (/ 1 x) -1/2) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) -1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* 1/12 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/12 x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(approx (- (/ 1 x) -1/2) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) (*.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) (*.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) 1) (/ 1 x)) (*.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))

eval35.0ms (2.2%)

Memory: 24.8MiB live, 62.0MiB allocated; 15ms collecting garbage
Compiler: Compiled 1 840 to 787 computations (57.2% saved)

prune24.0ms (1.5%)

Memory

-7.6MiB live, 30.7MiB allocated; 17ms collecting garbage

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	215	3	218
Fresh	0	1	1
Picked	2	3	5
Done	0	5	5
Total	217	12	229

Accuracy

100.0%

Counts

229 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.5%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
▶	61.1%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
▶	61.0%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	61.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	60.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
▶	61.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (+.f64 x x)))
✓	61.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	60.8%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	61.1%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 137 to 127 computations (7.3% saved)

series8.0ms (0.5%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Counts

23 → 63

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(literal 1/12 binary64)
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (+.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 x x))
#s(literal 2 binary64)
(+.f64 x x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal -1/720 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) #s(hole binary64 (/ 1 x)))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ 2 (+ x x)) #s(hole binary64 (/ 1 x)))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 1/2))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (+ (* 1/12 x) 1/2) 1/12 x 1/2 (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ 2 (+ x x)) 2 (+ x x) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) -1/2)
2.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (+ (* 1/12 x) 1/2) 1/12 x 1/2 (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ 2 (+ x x)) 2 (+ x x) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) -1/2)
2.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (+ (* 1/12 x) 1/2) 1/12 x 1/2 (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ 2 (+ x x)) 2 (+ x x) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) -1/2)

Time

Variable

Point

Expression

2.0ms

((/ (exp x) (- (exp x) 1)) (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (+ (* 1/12 x) 1/2) 1/12 x 1/2 (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ 2 (+ x x)) 2 (+ x x) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) -1/2)

2.0ms

-inf

((/ (exp x) (- (exp x) 1)) (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (+ (* 1/12 x) 1/2) 1/12 x 1/2 (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ 2 (+ x x)) 2 (+ x x) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) -1/2)

2.0ms

inf

((/ (exp x) (- (exp x) 1)) (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (+ (* 1/12 x) 1/2) 1/12 x 1/2 (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ 2 (+ x x)) 2 (+ x x) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) -1/2)

rewrite102.0ms (6.6%)

Memory

-3.7MiB live, 99.6MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	1350
0	193	1273
0	808	1233

Stop Event

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

Counts

86 → 168

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(literal 1/12 binary64)
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (+.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 x x))
#s(literal 2 binary64)
(+.f64 x x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal -1/720 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) #s(hole binary64 (/ 1 x)))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ 2 (+ x x)) #s(hole binary64 (/ 1 x)))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 1/2))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x) (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 1/12 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x))
(+.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x))
(+.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
#s(literal 1/12 binary64)
x
#s(literal 1/2 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (+.f64 x x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x x)))
(/.f64 #s(literal -2 binary64) (neg.f64 (+.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 x x))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 x x) (*.f64 x x))))
(+.f64 x x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
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#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))) #s(literal 1/720 binary64)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) #s(literal 1/720 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* x x) -1/720) 1/12) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
#s(approx (+ (* (* x x) -1/720) 1/12) (.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (*.f64 x x)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(approx (- (/ 1 x) -1/2) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal 1/12 binary64)) x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 (.f64 x x) x))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (.f64 x x))) #s(literal 1/720 binary64)) (.f64 (.f64 x x) x))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (neg.f64 (.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 (.f64 x x) x))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 (.f64 x x) x))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (.f64 x x))) #s(literal 1/720 binary64)) (.f64 (.f64 x x) x))))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal 1/12 binary64)) x)))

eval34.0ms (2.2%)

Memory: -4.6MiB live, 33.1MiB allocated; 20ms collecting garbage
Compiler: Compiled 1 345 to 627 computations (53.4% saved)

prune9.0ms (0.6%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	0	0
Picked	2	2	4
Done	0	8	8
Total	131	11	142

Accuracy

100.0%

Counts

142 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.5%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
✓	61.0%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	61.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	60.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
✓	61.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (+.f64 x x)))
✓	61.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
	61.1%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
✓	60.8%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 214 to 180 computations (15.9% saved)

regimes17.0ms (1.1%)

Memory

-32.1MiB live, 14.5MiB allocated; 6ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (+.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
(/.f64 (exp.f64 x) (expm1.f64 x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

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

Calls

3 calls:

8.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.0ms	x
3.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes10.0ms (0.7%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.5%	1	`(exp.f64 x)`
98.5%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
98.5%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes10.0ms (0.6%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.6%	1	`(exp.f64 x)`
61.6%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
61.6%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes5.0ms (0.3%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
1.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
61.3%	1	`x`
61.3%	1	`(exp.f64 x)`
61.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0.2%)

Memory

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

Accuracy

Total -0.6b remaining (-0.9%)

Threshold costs -0.6b (-0.9%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.2%	1	`x`
3.2%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.2%	1	`(exp.f64 x)`

Compiler

Compiled 9 to 8 computations (11.1% saved)

derivations86.0ms (5.6%)

Memory

-1.2MiB live, 46.3MiB allocated; 1ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 32 to 24 computations (25% saved)

preprocess61.0ms (3.9%)

Memory: 0.1MiB live, 51.3MiB allocated; 30ms collecting garbage
Compiler: Compiled 44 to 35 computations (20.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample519.0ms (33.6%)

preprocess32.0ms (2.1%)

series17.0ms (1.1%)

rewrite136.0ms (8.8%)

eval5.0ms (0.3%)

prune4.0ms (0.3%)

series9.0ms (0.6%)

rewrite192.0ms (12.4%)

eval67.0ms (4.3%)

prune9.0ms (0.6%)

series5.0ms (0.3%)

rewrite148.0ms (9.6%)

eval35.0ms (2.2%)

prune24.0ms (1.5%)

series8.0ms (0.5%)

rewrite102.0ms (6.6%)

eval34.0ms (2.2%)

prune9.0ms (0.6%)

regimes17.0ms (1.1%)

regimes10.0ms (0.7%)

regimes10.0ms (0.6%)

regimes5.0ms (0.3%)

regimes4.0ms (0.2%)

derivations86.0ms (5.6%)

preprocess61.0ms (3.9%)

end0.0ms (0%)

Profiling