Metrics for expq2 (section 3.11)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample1.3s (46.1%)

Memory

-39.6MiB live, 683.7MiB allocated; 1.2s collecting garbage

Samples

437.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

ival-exp: 155.0ms (59% of total)

ival-expm1: 63.0ms (24% of total)

ival-div!: 44.0ms (16.7% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess69.0ms (2.5%)

Memory

-16.1MiB live, 27.3MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	41	25
2	167	25
3	867	23

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.5%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

series3.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms 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
1.0ms	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)

rewrite129.0ms (4.7%)

Memory

3.9MiB live, 102.7MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	209
0	68	209
1	420	209
0	4248	164

Stop Event

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

Counts

21 → 67

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

eval6.0ms (0.2%)

Memory: 10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 472 to 212 computations (55.1% saved)

prune23.0ms (0.8%)

Memory

-39.8MiB live, 6.0MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	57	6	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	6	64

Accuracy

100.0%

Counts

64 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	98.2%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
▶	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
▶	65.8%	#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))
▶	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
▶	65.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 100 to 94 computations (6% saved)

series7.0ms (0.3%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

19 → 52

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
#s(literal 1 binary64)
(expm1.f64 x)
x
(exp.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.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))
(/.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 (* (/ 1 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) 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 x #s(hole binary64 x))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (exp x) (- (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 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 (* (/ 1 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ 1 (- (exp x) 1))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp x) #s(hole binary64 (exp 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 (+ (* 1/2 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
3.0ms	x	@	inf	((* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)) 1 (- (exp x) 1) x (exp x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (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	((* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)) 1 (- (exp x) 1) x (exp x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (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	((* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)) 1 (- (exp x) 1) x (exp x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (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

3.0ms

inf

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

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

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

rewrite200.0ms (7.2%)

Memory

17.1MiB live, 203.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	773
0	162	721
1	802	697
0	7746	676

Stop Event

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

Counts

71 → 437

Calls

Call 1

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

eval44.0ms (1.6%)

Memory: -10.3MiB live, 80.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 3 249 to 1 474 computations (54.6% saved)

prune12.0ms (0.4%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	422	7	429
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	422	13	435

Accuracy

100.0%

Counts

435 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.2%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
✓	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
▶	98.8%	(*.f64 #s(approx (/ 1 (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (exp.f64 x))
✓	65.8%	#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))
	65.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
✓	65.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	34.6%	#s(approx (/ (exp x) (- (exp x) 1)) #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)))
	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
▶	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 260 to 245 computations (5.8% saved)

series7.0ms (0.2%)

Memory

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

Counts

21 → 63

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) (- (/ (- (/ 1 x) -1/2) x) -1/12) (/ (- (/ 1 x) -1/2) x) -1/12 (* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)) (- (/ 1 x) 1/2))
1.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) (- (/ (- (/ 1 x) -1/2) x) -1/12) (/ (- (/ 1 x) -1/2) x) -1/12 (* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)) (- (/ 1 x) 1/2))
1.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) (- (/ (- (/ 1 x) -1/2) x) -1/12) (/ (- (/ 1 x) -1/2) x) -1/12 (* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)) (- (/ 1 x) 1/2))

Time

Variable

Point

Expression

3.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite138.0ms (5%)

Memory

-42.0MiB live, 112.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	1077
0	183	1037
1	860	1037
0	8475	971

Stop Event

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

Counts

84 → 430

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)) #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)) (-.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)) #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) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64)) x))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64)) x)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
#s(literal -1/12 binary64)
(*.f64 #s(approx (/ 1 (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (exp.f64 x))
#s(approx (/ 1 (- (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))
#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 (/ (+ (* 1/2 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 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) 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 x) -1/2) x) -1/12) x) #s(hole binary64 (/ 1 x)))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 (/ (+ 1 (* 1/2 x)) (pow x 2))))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2))))
#s(approx (/ (- (/ 1 x) -1/2) x) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (- (/ 1 x) -1/2) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) (pow x 2))))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) 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 (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 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) 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) x) -1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 1/12))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 (+ 1/12 (* 1/2 (/ 1 x)))))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
#s(approx (/ (- (/ 1 x) -1/2) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (- (/ 1 x) -1/2) x) #s(hole binary64 (/ (+ 1/2 (/ 1 x)) x)))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ 1 (- (exp x) 1))))
#s(approx (- (/ 1 x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1 x) 1/2) #s(hole binary64 (- (/ 1 x) 1/2)))
#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 x) -1/2) x) -1/12) 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 (neg.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 (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 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 x) (exp.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 x) (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (exp.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))))
(fma.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)))
(+.f64 (.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (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 #s(literal 2 binary64) (exp.f64 x)) #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)))))
(neg.f64 (-.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 x)
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (.f64 (cosh.f64 x) #s(literal 1 binary64)) (.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (/.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.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 (expm1.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.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 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x 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))))
(/.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (expm1.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)))
(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 (+.f64 #s(literal 0 binary64) x))
(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 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #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 (* (/ 1 (- (exp x) 1)) (exp x)) #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 (* (/ 1 (- (exp x) 1)) (exp x)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64))) (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (-.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 (-.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 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(.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 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 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 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 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 (-.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 (-.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 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal -1/8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) #s(literal -1/8 binary64))))
(neg.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) 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))
(*.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(literal -1/2 binary64)
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) #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) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64)) x))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))) x)
(*.f64 (neg.f64 x) (-.f64 #s(literal -1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
(.f64 (.f64 (-.f64 #s(literal -1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x))
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#s(approx (/ 1 (- (exp x) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ 1 (- (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 (/ 1 (- (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) 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 (- (exp x) 1)) (exp x)) (/.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 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) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x))
#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 x) -1/2) x) -1/12) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) 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 x) -1/2) x) -1/12) #s(literal 1/12 binary64))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64)))
#s(approx (/ (- (/ 1 x) -1/2) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- (/ 1 x) -1/2) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (expm1.f64 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) 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 x) -1/2) x) -1/12) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64)) x))

eval49.0ms (1.8%)

Memory: 42.3MiB live, 85.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 4 776 to 2 073 computations (56.6% saved)

prune22.0ms (0.8%)

Memory

-15.8MiB live, 36.9MiB allocated; 9ms collecting garbage

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	480	5	485
Fresh	1	2	3
Picked	0	5	5
Done	1	4	5
Total	482	16	498

Accuracy

100.0%

Counts

498 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
✓	98.8%	(*.f64 #s(approx (/ 1 (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (exp.f64 x))
▶	36.2%	(*.f64 #s(approx (/ 1 (- (exp x) 1)) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))) (exp.f64 x))
✓	65.8%	#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))
▶	65.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
▶	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
✓	65.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	34.6%	#s(approx (/ (exp x) (- (exp x) 1)) #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)))
	34.5%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/12 binary64)) x)))
	34.5%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/12 binary64))) x)))
▶	50.9%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)))
▶	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(literal 1/12 binary64)) x)))
✓	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 378 to 360 computations (4.8% saved)

series8.0ms (0.3%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Counts

29 → 83

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal -1/12 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(literal 1/12 binary64)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(literal 1/12 binary64)) x))
(*.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(literal 1/12 binary64)) x)
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (/.f64 #s(literal 1 binary64) (.f64 x x))) x))
(.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(*.f64 #s(approx (/ 1 (- (exp x) 1)) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))) (exp.f64 x))
#s(approx (/ 1 (- (exp x) 1)) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64)))
#s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(exp.f64 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 (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (/ (+ 1/2 (* 1/12 x)) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 x) -1/2) x) -1/12) x) #s(hole binary64 (/ 1 x)))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 (/ (+ 1 (* 1/2 x)) (pow x 2))))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 (/ x (+ (* 1/2 x) 1))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (/ x (+ (* 1/2 x) 1))) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/4 x) 1/2))))))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))))
#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 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) 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) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 1/12))
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (+ 1/12 (* 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) x) -1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 1/12))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 (+ 1/12 (* 1/2 (/ 1 x)))))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
#s(approx (/ 1 (/ x (+ (* 1/2 x) 1))) #s(hole binary64 1/2))
#s(approx (/ 1 (/ x (+ (* 1/2 x) 1))) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 2))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 (- 2 (* 4 (/ 1 x)))))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))))
#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 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ 1 (- (exp x) 1))))
#s(approx (- (/ 1 x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1 x) 1/2) #s(hole binary64 (- (/ 1 x) 1/2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#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 x) -1/2) x) -1/12) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (- (/ 1/2 x) -1/12) (/ 1/2 x) 1/2 x -1/12 (* x x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) (- (/ (- (/ 1 x) -1/2) x) -1/12) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) (- (/ (- (/ 1 x) -1/2) x) -1/12) (/ 1 (* x x)) (/ (exp x) (- (exp x) 1)) (/ 1 (/ x (+ (* 1/2 x) 1))) (/ x (+ (* 1/2 x) 1)) (+ (* 1/2 x) 1) (* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)) (- (/ 1 x) 1/2) -1/2 (exp x))
2.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (- (/ 1/2 x) -1/12) (/ 1/2 x) 1/2 x -1/12 (* x x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) (- (/ (- (/ 1 x) -1/2) x) -1/12) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) (- (/ (- (/ 1 x) -1/2) x) -1/12) (/ 1 (* x x)) (/ (exp x) (- (exp x) 1)) (/ 1 (/ x (+ (* 1/2 x) 1))) (/ x (+ (* 1/2 x) 1)) (+ (* 1/2 x) 1) (* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)) (- (/ 1 x) 1/2) -1/2 (exp x))
2.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (- (/ 1/2 x) -1/12) (/ 1/2 x) 1/2 x -1/12 (* x x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) (- (/ (- (/ 1 x) -1/2) x) -1/12) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) (- (/ (- (/ 1 x) -1/2) x) -1/12) (/ 1 (* x x)) (/ (exp x) (- (exp x) 1)) (/ 1 (/ x (+ (* 1/2 x) 1))) (/ x (+ (* 1/2 x) 1)) (+ (* 1/2 x) 1) (* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)) (- (/ 1 x) 1/2) -1/2 (exp x))

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite167.0ms (6%)

Memory

-38.3MiB live, 154.4MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	1666
0	258	1562
1	1327	1559
0	8047	1449

Stop Event

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

Counts

112 → 331

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal -1/12 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(literal 1/12 binary64)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(literal 1/12 binary64)) x))
(*.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(literal 1/12 binary64)) x)
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (/.f64 #s(literal 1 binary64) (.f64 x x))) x))
(.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(*.f64 #s(approx (/ 1 (- (exp x) 1)) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))) (exp.f64 x))
#s(approx (/ 1 (- (exp x) 1)) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64)))
#s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(exp.f64 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 (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (/ (+ 1/2 (* 1/12 x)) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 x) -1/2) x) -1/12) x) #s(hole binary64 (/ 1 x)))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 (/ (+ 1 (* 1/2 x)) (pow x 2))))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 (/ x (+ (* 1/2 x) 1))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (/ x (+ (* 1/2 x) 1))) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/4 x) 1/2))))))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))))
#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 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) 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) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 1/12))
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (+ 1/12 (* 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) x) -1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 1/12))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 (+ 1/12 (* 1/2 (/ 1 x)))))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(hole binary64 (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
#s(approx (/ 1 (/ x (+ (* 1/2 x) 1))) #s(hole binary64 1/2))
#s(approx (/ 1 (/ x (+ (* 1/2 x) 1))) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 2))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 (- 2 (* 4 (/ 1 x)))))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))))
#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 (- (exp x) 1)) (exp x)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ 1 (- (exp x) 1)) #s(hole binary64 (/ 1 (- (exp x) 1))))
#s(approx (- (/ 1 x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1 x) 1/2) #s(hole binary64 (- (/ 1 x) 1/2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#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 x) -1/2) x) -1/12) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(hole binary64 (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))))

Outputs
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) (neg.f64 x) (.f64 #s(literal -1 binary64) x)) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) (/.f64 x #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) x)) (.f64 x (/.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) x (.f64 #s(literal 1 binary64) x)) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) x) (/.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (fma.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) x) (/.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) (neg.f64 x) (.f64 x #s(literal -1 binary64))) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) (/.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 x (/.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) x (.f64 x #s(literal 1 binary64))) (.f64 x x))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x)) (.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x)) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x)) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) #s(literal 1 binary64)) x))
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#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x 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 (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ 1/2 x) -1/12) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ 1/2 x) -1/12) (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (* x x) (*.f64 x 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 x) -1/2) x) -1/12) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) 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 x) -1/2) x) -1/12) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ 1 (/ x (+ (* 1/2 x) 1))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (/ x (+ (* 1/2 x) 1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* 1/2 x) 1)) x)
#s(approx (/ x (+ (* 1/2 x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* 1/2 x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* 1/2 x) 1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
#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 (- (exp x) 1)) (exp x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp 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 (- (exp x) 1)) (exp 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))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ 1 (- (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 (/ 1 (- (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) 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 (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#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 (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x 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 (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x))
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (.f64 (.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64))))
#s(approx (- (/ 1/2 x) -1/12) #s(literal 1/12 binary64))
#s(approx (- (/ 1/2 x) -1/12) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 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 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x))
#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 x) -1/2) x) -1/12) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x))
#s(approx (* (- (/ (- (/ 1 x) -1/2) x) -1/12) 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 x) -1/2) x) -1/12) #s(literal 1/12 binary64))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)))
#s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64)))
#s(approx (/ 1 (/ x (+ (* 1/2 x) 1))) #s(literal 1/2 binary64))
#s(approx (/ 1 (/ x (+ (* 1/2 x) 1))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ x (+ (* 1/2 x) 1)) #s(literal 2 binary64))
#s(approx (/ x (+ (* 1/2 x) 1)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)))
#s(approx (/ x (+ (* 1/2 x) 1)) (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) x)))
#s(approx (/ x (+ (* 1/2 x) 1)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 16 binary64) (.f64 (*.f64 x x) x))))
#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 (- (exp x) 1)) (exp x)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (expm1.f64 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 (exp x) (exp.f64 x))
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (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 (* (- (/ (- (/ 1 x) -1/2) x) -1/12) x) (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 (+ (* 1/2 x) 1)) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x)) #s(literal 2 binary64)))
#s(approx (/ x (+ (* 1/2 x) 1)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) x)) x)) #s(literal 4 binary64)) x)) #s(literal 2 binary64)))

eval41.0ms (1.5%)

Memory: 0.5MiB live, 45.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 3 034 to 1 438 computations (52.6% saved)

prune14.0ms (0.5%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Pruning

17 alts after pruning (4 fresh and 13 done)

	Pruned	Kept	Total
New	310	3	313
Fresh	1	1	2
Picked	1	4	5
Done	0	9	9
Total	312	17	329

Accuracy

100.0%

Counts

329 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
✓	98.8%	(*.f64 #s(approx (/ 1 (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (exp.f64 x))
✓	36.2%	(*.f64 #s(approx (/ 1 (- (exp x) 1)) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))) (exp.f64 x))
	3.2%	(*.f64 #s(approx (/ 1 (- (exp x) 1)) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))) #s(approx (exp x) #s(literal 1 binary64)))
✓	65.8%	#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))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
	87.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* 1/2 x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))
	83.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* 1/2 x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
✓	65.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	34.6%	#s(approx (/ (exp x) (- (exp x) 1)) #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)))
	34.5%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/12 binary64)) x)))
✓	50.9%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)))
✓	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(literal 1/12 binary64)) x)))
✓	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 408 to 347 computations (15% saved)

regimes17.0ms (0.6%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Counts

22 → 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)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(literal 1/12 binary64)) x)))
(*.f64 #s(approx (/ 1 (- (exp x) 1)) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))) #s(approx (exp x) #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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#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)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* 1/2 x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(*.f64 #s(approx (/ 1 (- (exp x) 1)) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))) (exp.f64 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))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) #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 (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* 1/2 x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.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 (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/12 binary64))) x)))
(*.f64 #s(approx (/ 1 (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

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

Calls

3 calls:

6.0ms	x
5.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	(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)

regimes35.0ms (1.3%)

Memory

-35.5MiB live, 10.8MiB allocated; 3ms collecting garbage

Counts

20 → 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)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(literal 1/12 binary64)) x)))
(*.f64 #s(approx (/ 1 (- (exp x) 1)) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))) #s(approx (exp x) #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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#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)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* 1/2 x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(*.f64 #s(approx (/ 1 (- (exp x) 1)) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))) (exp.f64 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))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) #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 (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* 1/2 x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.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 (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/12 binary64))) x)))
(*.f64 #s(approx (/ 1 (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))

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

Calls

3 calls:

24.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
6.0ms	x
4.0ms	(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)

regimes14.0ms (0.5%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

19 → 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)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(literal 1/12 binary64)) x)))
(*.f64 #s(approx (/ 1 (- (exp x) 1)) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))) #s(approx (exp x) #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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#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)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* 1/2 x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(*.f64 #s(approx (/ 1 (- (exp x) 1)) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))) (exp.f64 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))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) #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 (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* 1/2 x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.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 (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/12 binary64))) x)))
(*.f64 #s(approx (/ 1 (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (exp.f64 x))

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

Calls

3 calls:

5.0ms	x
4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
98.8%	1	`(exp.f64 x)`
98.8%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
98.8%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes14.0ms (0.5%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Counts

18 → 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)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(literal 1/12 binary64)) x)))
(*.f64 #s(approx (/ 1 (- (exp x) 1)) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))) #s(approx (exp x) #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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#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)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* 1/2 x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(*.f64 #s(approx (/ 1 (- (exp x) 1)) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))) (exp.f64 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))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) #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 (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* 1/2 x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.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 (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/12 binary64))) x)))

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

Calls

3 calls:

5.0ms	x
4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
98.2%	1	`(exp.f64 x)`
98.2%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
98.2%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes10.0ms (0.4%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

12 → 2

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

Outputs

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

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
97.7%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
99.1%	2	`(exp.f64 x)`
99.1%	2	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes8.0ms (0.3%)

Memory

-31.2MiB live, 14.7MiB allocated; 2ms collecting garbage

Counts

11 → 2

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

Outputs

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

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

Calls

2 calls:

4.0ms	(exp.f64 x)
4.0ms	x

Results

Accuracy	Segments	Branch
98.8%	2	`(exp.f64 x)`
98.8%	2	`x`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes9.0ms (0.3%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
83.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
83.1%	1	`(exp.f64 x)`
83.1%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes8.0ms (0.3%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

8 → 2

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
82.9%	2	`x`
82.9%	2	`(exp.f64 x)`
82.5%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes12.0ms (0.4%)

Memory

-35.2MiB live, 13.5MiB allocated; 9ms collecting garbage

Counts

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

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

Calls

3 calls:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms	x
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
65.9%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
65.9%	1	`(exp.f64 x)`
65.9%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes5.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB 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)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(approx (- (/ (- (/ 1 x) -1/2) x) -1/12) #s(literal 1/12 binary64)) x)))
(*.f64 #s(approx (/ 1 (- (exp x) 1)) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))) #s(approx (exp x) #s(literal 1 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.3%	1	`(exp.f64 x)`
3.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.3%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
3.1%	1	`(exp.f64 x)`
3.1%	1	`x`
3.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch10.0ms (0.4%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-137.5595851093888	-2.539904583010462

Samples

5.0ms

112×

valid

Compiler

Compiled 192 to 197 computations (-2.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-exp: 1.0ms (35.9% of total)

ival-expm1: 1.0ms (35.9% of total)

ival-div!: 1.0ms (35.9% of total)

adjust: 0.0ms (0% of total)

bsearch16.0ms (0.6%)

Memory

-11.4MiB live, 32.2MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-2.539904583010462	-5.286811151419849e-8

Samples

6.0ms

144×

valid

Compiler

Compiled 226 to 233 computations (-3.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (54.9% of total)

ival-expm1: 1.0ms (27.4% of total)

ival-div!: 1.0ms (27.4% of total)

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07887392534414578	0.9999999471318899

Compiler

Compiled 9 to 9 computations (0% saved)

derivations305.0ms (11%)

Memory

-18.4MiB live, 320.8MiB allocated; 33ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 103 to 74 computations (28.2% saved)

preprocess85.0ms (3.1%)

Memory: 27.9MiB live, 165.7MiB allocated; 15ms collecting garbage
Compiler: Compiled 115 to 85 computations (26.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.3s (46.1%)

preprocess69.0ms (2.5%)

series3.0ms (0.1%)

rewrite129.0ms (4.7%)

eval6.0ms (0.2%)

prune23.0ms (0.8%)

series7.0ms (0.3%)

rewrite200.0ms (7.2%)

eval44.0ms (1.6%)

prune12.0ms (0.4%)

series7.0ms (0.2%)

rewrite138.0ms (5%)

eval49.0ms (1.8%)

prune22.0ms (0.8%)

series8.0ms (0.3%)

rewrite167.0ms (6%)

eval41.0ms (1.5%)

prune14.0ms (0.5%)

regimes17.0ms (0.6%)

regimes35.0ms (1.3%)

regimes14.0ms (0.5%)

regimes14.0ms (0.5%)

regimes10.0ms (0.4%)

regimes8.0ms (0.3%)

regimes9.0ms (0.3%)

regimes8.0ms (0.3%)

regimes12.0ms (0.4%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch10.0ms (0.4%)

bsearch16.0ms (0.6%)

bsearch0.0ms (0%)

derivations305.0ms (11%)

preprocess85.0ms (3.1%)

end0.0ms (0%)

Profiling