Metrics for expq2 (section 3.11)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB 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)

sample620.0ms (41.2%)

Memory

-0.8MiB live, 685.6MiB allocated; 150ms collecting garbage

Samples

410.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-exp: 88.0ms (45% of total)

ival-expm1: 62.0ms (31.7% of total)

ival-div!: 44.0ms (22.5% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess99.0ms (6.6%)

Memory

-13.7MiB live, 44.6MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	29	26
2	98	26
3	397	26
4	5419	26

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.9%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

series3.0ms (0.2%)

Memory

3.8MiB live, 3.8MiB 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)

rewrite117.0ms (7.8%)

Memory

55.8MiB live, 137.5MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	209
0	68	209
1	373	209
0	3286	164

Stop Event

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

Counts

21 → 48

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 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (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)))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.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 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x 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 (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))

eval11.0ms (0.7%)

Memory: -40.3MiB live, 6.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 360 to 168 computations (53.3% saved)

prune4.0ms (0.3%)

Memory

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

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	37	7	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	7	45

Accuracy

100.0%

Counts

45 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	98.6%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
▶	100.0%	(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
	99.6%	(.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))))
▶	71.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	71.2%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
▶	71.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 132 to 122 computations (7.6% saved)

series11.0ms (0.7%)

Memory

12.4MiB live, 12.3MiB allocated; 0ms collecting garbage

Counts

22 → 66

Calls

Call 1

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

Outputs
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* -1/12 (pow x 2))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) 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 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (exp x) (- (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 (- (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 x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 2 x)) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (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 (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (neg (* -2 x))) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (neg (* -2 x))) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#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
4.0ms	x	@	-inf	((* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (exp x) x (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) -1 (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1))
3.0ms	x	@	inf	((* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (exp x) x (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) -1 (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1))
2.0ms	x	@	0	((* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (exp x) x (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) -1 (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1))

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite99.0ms (6.6%)

Memory

-4.7MiB live, 49.7MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	1076
0	229	1027
0	1061	964

Stop Event

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

Counts

88 → 136

Calls

Call 1

Inputs
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))
(exp.f64 x)
x
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(-.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))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(literal 1/12 binary64)
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (- (exp x) 1) x)
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* -1/12 (pow x 2))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) 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 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (exp x) (- (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 (- (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 x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 2 x)) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (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 (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (neg (* -2 x))) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (neg (* -2 x))) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#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) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 (+.f64 x x)))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x))))
(/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
x
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(expm1.f64 (+.f64 x x))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 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 x)) (+.f64 (exp.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))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
#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 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)))))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 #s(literal 1/12 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x))
(+.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
#s(literal 1/12 binary64)
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 #s(approx (- (exp x) 1) x)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (- (exp x) 1) x)
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 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 (* (/ (exp x) (- (exp (+ x x)) 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 (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 7/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1/2 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 x x)
#s(approx (- (exp (+ x x)) 1) (+.f64 x x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (+ x x) (+.f64 x x))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* 1/2 x) 1) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* 1/2 x) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/12 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/12 x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (- (exp x) 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 x)) 1)) (- (exp x) -1)) (*.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (expm1.f64 (+.f64 x x)))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x x)))
#s(approx (- (exp x) -1) (+.f64 #s(literal 1 binary64) (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) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
#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 #s(literal 1 binary64) (.f64 x x)) (/.f64 #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 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (*.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (expm1.f64 (+.f64 x x)))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x 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)))

eval11.0ms (0.8%)

Memory: 17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 967 to 504 computations (47.9% saved)

prune11.0ms (0.7%)

Memory

-36.4MiB live, 11.6MiB allocated; 5ms collecting garbage

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	111	6	117
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	113	11	124

Accuracy

100.0%

Counts

124 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 (+.f64 x x)))
	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.6%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
✓	71.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	71.2%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
✓	71.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
	71.1%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) x)))
▶	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
▶	36.3%	#s(approx (/ (exp x) (- (exp x) 1)) #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))))
▶	71.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
▶	3.0%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 238 to 223 computations (6.3% saved)

series9.0ms (0.6%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Counts

27 → 79

Calls

Call 1

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

Outputs
#s(approx (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x x)) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (* (exp x) (- (exp x) -1)) #s(hole binary64 2))
#s(approx (* (exp x) (- (exp x) -1)) #s(hole binary64 (+ 2 (* 3 x))))
#s(approx (* (exp x) (- (exp x) -1)) #s(hole binary64 (+ 2 (* x (+ 3 (* 5/2 x))))))
#s(approx (* (exp x) (- (exp x) -1)) #s(hole binary64 (+ 2 (* x (+ 3 (* x (+ 5/2 (* 3/2 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 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 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) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (/ 1 x) 1/2) #s(hole binary64 (/ 1 x)))
#s(approx (+ (/ 1 x) 1/2) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) #s(hole binary64 (/ 1 x)))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) #s(hole binary64 (/ -1 x)))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) #s(hole binary64 (/ (- (* -1/2 x) 1) x)))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) #s(hole binary64 (/ (- (* x (- (* -1/12 x) 1/2)) 1) x)))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) #s(hole binary64 (/ (- (* -1/2 x) 1) (pow x 2))))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) #s(hole binary64 (/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2))))
#s(approx (neg (/ (+ (/ 1 x) 1/2) x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (neg (/ (+ (/ 1 x) 1/2) x)) #s(hole binary64 (/ (- (* -1/2 x) 1) (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 (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))))
#s(approx (* (exp x) (- (exp x) -1)) #s(hole binary64 (* (exp x) (+ 1 (exp x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (/ 1 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1 x) 1/2) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) #s(hole binary64 (* 1/12 x)))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) #s(hole binary64 (* -1/12 x)))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) #s(hole binary64 (* -1 (* x (+ 1/12 (* 1/2 (/ 1 x)))))))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) #s(hole binary64 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) #s(hole binary64 -1/12))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) #s(hole binary64 (* -1 (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) #s(hole binary64 (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
#s(approx (neg (/ (+ (/ 1 x) 1/2) x)) #s(hole binary64 (/ -1/2 x)))
#s(approx (neg (/ (+ (/ 1 x) 1/2) x)) #s(hole binary64 (* -1 (/ (+ 1/2 (/ 1 x)) x))))
#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 (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (neg (* -2 x))) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#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 (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) #s(hole binary64 (* -1 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite65.0ms (4.3%)

Memory

6.3MiB live, 52.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	1544
0	257	1502
0	1115	1409

Stop Event

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

Counts

106 → 147

Calls

Call 1

Inputs
(/.f64 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 (+.f64 x x)))
(*.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)
(expm1.f64 (+.f64 x x))
(+.f64 x x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #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) x) (+.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(approx (/ (exp x) (- (exp x) 1)) #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 (/ (+ (* (+ (* 1/12 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)))
(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))
(*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) x)
(-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
#s(approx (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x x)) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (* (exp x) (- (exp x) -1)) #s(hole binary64 2))
#s(approx (* (exp x) (- (exp x) -1)) #s(hole binary64 (+ 2 (* 3 x))))
#s(approx (* (exp x) (- (exp x) -1)) #s(hole binary64 (+ 2 (* x (+ 3 (* 5/2 x))))))
#s(approx (* (exp x) (- (exp x) -1)) #s(hole binary64 (+ 2 (* x (+ 3 (* x (+ 5/2 (* 3/2 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 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 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) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (/ 1 x) 1/2) #s(hole binary64 (/ 1 x)))
#s(approx (+ (/ 1 x) 1/2) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) #s(hole binary64 (/ 1 x)))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) #s(hole binary64 (/ -1 x)))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) #s(hole binary64 (/ (- (* -1/2 x) 1) x)))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) #s(hole binary64 (/ (- (* x (- (* -1/12 x) 1/2)) 1) x)))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) #s(hole binary64 (/ (- (* -1/2 x) 1) (pow x 2))))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) #s(hole binary64 (/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2))))
#s(approx (neg (/ (+ (/ 1 x) 1/2) x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (neg (/ (+ (/ 1 x) 1/2) x)) #s(hole binary64 (/ (- (* -1/2 x) 1) (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 (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))))
#s(approx (* (exp x) (- (exp x) -1)) #s(hole binary64 (* (exp x) (+ 1 (exp x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (/ 1 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1 x) 1/2) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) #s(hole binary64 (* 1/12 x)))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) #s(hole binary64 (* -1/12 x)))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) #s(hole binary64 (* -1 (* x (+ 1/12 (* 1/2 (/ 1 x)))))))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) #s(hole binary64 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) #s(hole binary64 -1/12))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) #s(hole binary64 (* -1 (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) #s(hole binary64 (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
#s(approx (neg (/ (+ (/ 1 x) 1/2) x)) #s(hole binary64 (/ -1/2 x)))
#s(approx (neg (/ (+ (/ 1 x) 1/2) x)) #s(hole binary64 (* -1 (/ (+ 1/2 (/ 1 x)) x))))
#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 (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (neg (* -2 x))) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#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 (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) #s(hole binary64 (* -1 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))))

Outputs
(*.f64 (exp.f64 x) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (+.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (neg.f64 (expm1.f64 (+.f64 x x))))
(/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (expm1.f64 (+.f64 x x)))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))
(*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
x
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 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 x)) (+.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(expm1.f64 (+.f64 x x))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #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) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (-.f64 #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) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
#s(literal 1 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)) (neg.f64 x)) #s(literal 1/12 binary64)) (neg.f64 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)) (neg.f64 x)) #s(literal 1/12 binary64)) (neg.f64 x)))
(.f64 (.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/12 binary64)))
(*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/12 binary64))) x)
(.f64 (.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/12 binary64)) x) #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/12 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/12 binary64)) x))
(neg.f64 (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/12 binary64)) x))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/12 binary64)) x)
(*.f64 x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x))) #s(literal 1/144 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 3 binary64)) #s(literal 1/1728 binary64)) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) (+.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/12 binary64)))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/12 binary64))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x)
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x x)) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x 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)) (- (exp (+ x 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) (- (exp x) -1)) #s(literal 2 binary64))
#s(approx (* (exp x) (- (exp x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
#s(approx (* (exp x) (- (exp x) -1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 3 binary64)) x #s(literal 2 binary64)))
#s(approx (* (exp x) (- (exp x) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 5/2 binary64)) x #s(literal 3 binary64)) x #s(literal 2 binary64)))
#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 x x)
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp (+ x x)) 1) (+.f64 x x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (+ x x) (+.f64 x x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* 1/2 x) 1) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* 1/2 x) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (/ 1 x) 1/2) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (/ 1 x) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (neg (* (- (neg (/ (+ (/ 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 (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) (/.f64 #s(literal -1 binary64) x))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (neg (/ (+ (/ 1 x) 1/2) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (neg (/ (+ (/ 1 x) 1/2) x)) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (+ (/ 1 x) 1/2) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ (+ (/ 1 x) 1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x x)) 1)) (*.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (expm1.f64 (+.f64 x x)))))
#s(approx (* (exp x) (- (exp x) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) -1) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x 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 (/ (+ (* (+ (* 1/12 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 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/12 binary64)) x))
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (/ 1 x) 1/2) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (neg (* (- (neg (/ (+ (/ 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 (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/12 binary64)) x))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) (*.f64 #s(literal -1/12 binary64) x))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/12 binary64)) x))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) #s(literal -1/12 binary64))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64))))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/12 binary64)))
#s(approx (neg (/ (+ (/ 1 x) 1/2) x)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (neg (/ (+ (/ 1 x) 1/2) x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)))
#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 (/ (* (exp x) (- (exp x) -1)) (- (exp (+ x x)) 1)) (*.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (expm1.f64 (+.f64 x x)))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x 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)) (neg.f64 x)) #s(literal 1/12 binary64)) (neg.f64 x)))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/12 binary64)) (neg.f64 x)))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) (neg.f64 (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/12 binary64)) x)))

eval13.0ms (0.9%)

Memory: 20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 371 to 664 computations (51.6% saved)

prune10.0ms (0.7%)

Memory

-34.2MiB live, 11.8MiB allocated; 3ms collecting garbage

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	1	1	2
Picked	0	5	5
Done	0	4	4
Total	131	12	143

Accuracy

100.0%

Counts

143 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 (+.f64 x x)))
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.6%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
✓	71.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	71.2%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
✓	71.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
✓	36.3%	#s(approx (/ (exp x) (- (exp x) 1)) #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))))
▶	52.7%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 (.f64 #s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))) x))))
▶	71.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 #s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)))))
✓	71.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
✓	3.0%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 181 to 171 computations (5.5% saved)

series7.0ms (0.5%)

Memory

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

Counts

24 → 67

Calls

Call 1

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite154.0ms (10.2%)

Memory

35.0MiB live, 126.2MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	1441
0	195	1393
1	767	1343
0	5902	1236

Stop Event

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

Counts

91 → 198

Calls

Call 1

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 #s(approx (* (- (neg (/ (+ (/ 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 #s(approx (* (- (neg (/ (+ (/ 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))))
(neg.f64 #s(approx (* (- (neg (/ (+ (/ 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 (* (- (neg (/ (+ (/ 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))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x) (/.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 x (/.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x) (/.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) (neg.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x) x) (*.f64 x x))
(/.f64 (neg.f64 (neg.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 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (expm1.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x)) #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) x))
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64) #s(literal -1 binary64))
(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 binary64) (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal -1 binary64))
(fma.f64 x (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))))
(-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal -1 binary64))
(.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x))
(.f64 x (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal -1/1728 binary64) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/4 binary64))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/144 binary64) (.f64 x x) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal -1/1728 binary64) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64)) x) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/4 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 x x) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/2 binary64)))
(neg.f64 (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/1728 binary64) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1/1728 binary64) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/4 binary64))))
(fma.f64 (neg.f64 x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal -1/1728 binary64) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64))
(*.f64 (neg.f64 x) #s(literal 1/12 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal -1/12 binary64) x)
(.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1/12 binary64) (neg.f64 x))
(*.f64 x #s(literal -1/12 binary64))
(neg.f64 (*.f64 #s(literal 1/12 binary64) x))
#s(literal -1/12 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (neg.f64 x) #s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (neg.f64 x) #s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(.f64 (neg.f64 #s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x)))) x)
(.f64 (neg.f64 x) #s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 #s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))) (neg.f64 x))
(.f64 x (neg.f64 #s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(neg.f64 (.f64 #s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))) x))
(.f64 #s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)
(.f64 x #s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal -1 binary64)
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.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 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(neg.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 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 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (+ (* 1/12 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 (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (neg (* (- (neg (/ (+ (/ 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 (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) (/.f64 #s(literal -1 binary64) x))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))
#s(approx (* (- (neg (/ (+ (/ 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 (/ (- (* (- (* -1/12 x) 1/2) x) 1) x) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- (* (- (* -1/12 x) 1/2) x) 1) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))
#s(approx (/ (- (* (- (* -1/12 x) 1/2) x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
#s(approx (- (* (- (* -1/12 x) 1/2) x) 1) #s(literal -1 binary64))
#s(approx (- (* (- (* -1/12 x) 1/2) x) 1) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
#s(approx (- (* (- (* -1/12 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))
#s(approx (* (- (* -1/12 x) 1/2) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (- (* -1/12 x) 1/2) x) (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x))
#s(approx (- (* -1/12 x) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* -1/12 x) 1/2) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))
#s(approx (* -1/12 x) (*.f64 #s(literal -1/12 binary64) x))
#s(approx x x)
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (- (neg (/ (+ (/ 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 (* x x) (*.f64 x 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 (- (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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) x))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) (*.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (neg (* (- (neg (/ (+ (/ 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 (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) (*.f64 #s(literal -1/12 binary64) x))
#s(approx (* (- (neg (/ (+ (/ 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 (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/12 binary64)) x))
#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 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/12 binary64)) x))
#s(approx (- (* (- (* -1/12 x) 1/2) x) 1) (.f64 (.f64 #s(literal -1/12 binary64) x) x))
#s(approx (- (* (- (* -1/12 x) 1/2) x) 1) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/12 binary64)) (.f64 x x)))
#s(approx (- (* (- (* -1/12 x) 1/2) x) 1) (.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/12 binary64)) x) x))
#s(approx (* (- (* -1/12 x) 1/2) x) (.f64 (.f64 #s(literal -1/12 binary64) x) x))
#s(approx (* (- (* -1/12 x) 1/2) x) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/12 binary64)) (.f64 x x)))
#s(approx (- (* -1/12 x) 1/2) (*.f64 #s(literal -1/12 binary64) x))
#s(approx (- (* -1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/12 binary64)) x))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) #s(literal -1/12 binary64))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/12 binary64)))
#s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/12 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/12 binary64))))
#s(approx (neg (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/12 binary64))))
#s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) (*.f64 (neg.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64))))
#s(approx (/ (- (* (- (* -1/12 x) 1/2) x) 1) x) (*.f64 (neg.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64))))

eval20.0ms (1.3%)

Memory: -17.4MiB live, 28.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 901 to 1 056 computations (44.5% saved)

prune10.0ms (0.7%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	0	0	0
Picked	0	3	3
Done	1	8	9
Total	178	12	190

Accuracy

100.0%

Counts

190 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 (+.f64 x x)))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.6%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
✓	71.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	71.2%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
✓	71.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
	36.3%	#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)))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
✓	52.7%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 (.f64 #s(approx (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))) x))))
✓	71.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 #s(approx (* (- (neg (/ (+ (/ 1 x) 1/2) x)) 1/12) x) (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)))))
✓	71.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
✓	3.0%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 326 to 267 computations (18.1% saved)

regimes14.0ms (0.9%)

Memory

-29.7MiB live, 16.7MiB allocated; 3ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
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)

regimes11.0ms (0.8%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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

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
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)

regimes11.0ms (0.7%)

Memory

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

Counts

14 → 1

Calls

Call 1

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

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

regimes15.0ms (1%)

Memory

-34.5MiB live, 15.1MiB allocated; 7ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	x
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
98.6%	1	`(exp.f64 x)`
98.6%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
98.6%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes7.0ms (0.4%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Counts

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

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

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
88.5%	2	`(exp.f64 x)`
88.2%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
88.5%	2	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0.3%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
88.3%	2	`x`
88.3%	2	`(exp.f64 x)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes5.0ms (0.4%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
71.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
71.4%	1	`x`
71.4%	1	`(exp.f64 x)`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0.2%)

Memory

5.3MiB live, 5.3MiB 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
3.0%	1	`(exp.f64 x)`
3.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.0%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.463717315873267e-5	0.4132783269421811

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.463717315873267e-5	0.4132783269421811

Compiler

Compiled 9 to 9 computations (0% saved)

derivations66.0ms (4.4%)

Memory

0.2MiB live, 46.9MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 91 to 61 computations (33% saved)

preprocess87.0ms (5.8%)

Memory: -27.9MiB live, 109.7MiB allocated; 54ms collecting garbage
Compiler: Compiled 103 to 72 computations (30.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample620.0ms (41.2%)

preprocess99.0ms (6.6%)

series3.0ms (0.2%)

rewrite117.0ms (7.8%)

eval11.0ms (0.7%)

prune4.0ms (0.3%)

series11.0ms (0.7%)

rewrite99.0ms (6.6%)

eval11.0ms (0.8%)

prune11.0ms (0.7%)

series9.0ms (0.6%)

rewrite65.0ms (4.3%)

eval13.0ms (0.9%)

prune10.0ms (0.7%)

series7.0ms (0.5%)

rewrite154.0ms (10.2%)

eval20.0ms (1.3%)

prune10.0ms (0.7%)

regimes14.0ms (0.9%)

regimes11.0ms (0.8%)

regimes11.0ms (0.7%)

regimes15.0ms (1%)

regimes7.0ms (0.4%)

regimes4.0ms (0.3%)

regimes5.0ms (0.4%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations66.0ms (4.4%)

preprocess87.0ms (5.8%)

end0.0ms (0%)

Profiling