Metrics for expq2 (section 3.11)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB 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)

sample752.0ms (43.2%)

Memory

24.0MiB live, 832.1MiB allocated; 211ms collecting garbage

Samples

581.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 437.0ms

ival-exp: 267.0ms (61.2% of total)

ival-div!: 106.0ms (24.3% of total)

ival-expm1: 62.0ms (14.2% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess41.0ms (2.3%)

Memory

-32.6MiB live, 57.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	43	25
2	176	25
3	894	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.4%	(/.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

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Counts

5 → 15

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 (+ 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)

rewrite197.0ms (11.3%)

Memory

42.9MiB live, 221.0MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	203
0	67	203
1	423	203
2	3720	203
0	8729	160
1	26278	160

Stop Event

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

Counts

20 → 74

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 (+ 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 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 x)))) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (expm1.f64 x))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (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 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(fabs.f64 (-.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 x))))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (+.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (+.f64 x #s(literal 0 binary64))))
(exp.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (cosh.f64 (+.f64 x #s(literal 0 binary64))) (sinh.f64 (+.f64 x #s(literal 0 binary64))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(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 (+.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)))
(expm1.f64 (+.f64 #s(literal 0 binary64) (+.f64 x #s(literal 0 binary64))))
(expm1.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(expm1.f64 (+.f64 #s(literal 0 binary64) x))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
#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) (*.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))

eval28.0ms (1.6%)

Memory: -38.8MiB live, 15.4MiB allocated; 27ms collecting garbage
Compiler: Compiled 487 to 244 computations (49.9% saved)

prune2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	4	71

Accuracy

100.0%

Counts

71 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	63.9%	#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))
▶	64.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
▶	64.5%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 37 to 34 computations (8.1% saved)

series6.0ms (0.3%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

16 → 29

Calls

Call 1

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

rewrite186.0ms (10.7%)

Memory

25.0MiB live, 160.6MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	464
0	120	430
1	658	417
2	5439	417
0	8269	404
1	26300	404

Stop Event

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

Counts

45 → 227

Calls

Call 1

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

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

eval44.0ms (2.5%)

Memory: -15.9MiB live, 36.9MiB allocated; 49ms collecting garbage
Compiler: Compiled 1 200 to 668 computations (44.3% saved)

prune7.0ms (0.4%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	205	4	209
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	206	7	213

Accuracy

100.0%

Counts

213 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	63.9%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
▶	63.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x))
✓	64.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
✓	64.5%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	64.1%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 79 to 73 computations (7.6% saved)

series5.0ms (0.3%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

19 → 22

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite137.0ms (7.9%)

Memory

-33.9MiB live, 104.9MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	470
0	104	453
1	544	409
0	4272	375
1	13695	375

Stop Event

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

Counts

41 → 370

Calls

Call 1

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

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

eval38.0ms (2.2%)

Memory: 9.0MiB live, 55.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 1 817 to 969 computations (46.7% saved)

prune8.0ms (0.4%)

Memory

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

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	293	1	294
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	294	7	301

Accuracy

100.0%

Counts

301 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	63.9%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	63.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x))
✓	64.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
✓	64.5%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	64.1%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 79 to 73 computations (7.6% saved)

series2.0ms (0.1%)

Memory

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

Counts

8 → 12

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) x 1/12 (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2)
1.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) x 1/12 (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2)
0.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (- (/ 1 x) -1/2)) x 1/12 (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2)

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

0.0ms

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

rewrite113.0ms (6.5%)

Memory

2.9MiB live, 93.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	220
0	65	210
1	411	210
0	3428	190
1	10753	190

Stop Event

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

Counts

20 → 55

Calls

Call 1

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

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

eval4.0ms (0.3%)

Memory: 8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 258 to 170 computations (34.1% saved)

prune4.0ms (0.3%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	45	7	52

Accuracy

100.0%

Counts

52 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	63.9%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	63.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x))
✓	64.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
✓	64.5%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	64.1%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 143 to 116 computations (18.9% saved)

regimes9.0ms (0.5%)

Memory

-32.0MiB live, 13.5MiB allocated; 4ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

5.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
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)

regimes7.0ms (0.4%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (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
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
64.5%	1	`(exp.f64 x)`
64.5%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
64.5%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB 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 (/ (+ (* (+ (* 1/12 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
3.1%	1	`x`
3.1%	1	`(exp.f64 x)`
3.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

derivations118.0ms (6.8%)

Memory

2.5MiB live, 97.0MiB allocated; 15ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 27 to 22 computations (18.5% saved)

preprocess25.0ms (1.4%)

Memory: -1.6MiB live, 43.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 39 to 33 computations (15.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample752.0ms (43.2%)

preprocess41.0ms (2.3%)

series3.0ms (0.2%)

rewrite197.0ms (11.3%)

eval28.0ms (1.6%)

prune2.0ms (0.1%)

series6.0ms (0.3%)

rewrite186.0ms (10.7%)

eval44.0ms (2.5%)

prune7.0ms (0.4%)

series5.0ms (0.3%)

rewrite137.0ms (7.9%)

eval38.0ms (2.2%)

prune8.0ms (0.4%)

series2.0ms (0.1%)

rewrite113.0ms (6.5%)

eval4.0ms (0.3%)

prune4.0ms (0.3%)

regimes9.0ms (0.5%)

regimes7.0ms (0.4%)

regimes3.0ms (0.2%)

derivations118.0ms (6.8%)

preprocess25.0ms (1.4%)

end0.0ms (0%)

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