Metrics for expq2 (section 3.11)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB 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)

sample694.0ms (24.8%)

Memory

7.6MiB live, 942.5MiB allocated; 207ms collecting garbage

Samples

444.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

ival-div: 89.0ms (33.2% of total)

ival-exp: 75.0ms (28% of total)

ival-expm1: 53.0ms (19.8% of total)

ival->: 39.0ms (14.6% of total)

exact: 6.0ms (2.2% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain79.0ms (2.8%)

Memory

-8.3MiB live, 94.3MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
167	-	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	-	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(exp.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	167	0

Confusion

	Predicted +	Predicted -
+	167	0
-	0	89

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	167	0	0
-	0	0	89

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	89
1	167

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-exp: 4.0ms (35.2% of total)

ival-div: 3.0ms (26.4% of total)

ival-expm1: 3.0ms (26.4% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess293.0ms (10.5%)

Memory

16.4MiB live, 356.3MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	21	19
2	67	19
3	213	19
4	1052	19
0	5	7
0	8	7
1	13	7
2	29	7
3	67	7
4	285	7
5	3049	7
0	8303	5

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.4%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

series3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB 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)

simplify148.0ms (5.3%)

Memory

4.5MiB live, 234.3MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	194
1	182	194
2	560	188
3	2077	188
0	8726	150

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

rewrite48.0ms (1.7%)

Memory

-8.8MiB live, 82.3MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	30	15
0	212	11

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

5 → 31

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

eval6.0ms (0.2%)

Memory: 15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 760 to 176 computations (76.8% saved)

prune4.0ms (0.1%)

Memory

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

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	56	6	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	6	63

Accuracy

100.0%

Counts

63 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	98.8%	(/.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)))
▶	66.0%	#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))))
▶	66.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	66.2%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))

Compiler

Compiled 132 to 98 computations (25.8% saved)

series19.0ms (0.7%)

Memory

-25.4MiB live, 25.0MiB allocated; 12ms collecting garbage

Counts

19 → 52

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

simplify165.0ms (5.9%)

Memory

17.6MiB live, 154.4MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	802
1	469	802
2	1400	771
3	5423	771
0	8214	657

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

Calls

Call 1

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

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)) (/.f64 #s(literal 1 binary64) 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)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#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)) (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 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)) (- (exp x) -1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 #s(literal 1/2 binary64) 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)) (fma.f64 #s(literal -1/12 binary64) x (/.f64 #s(literal 1/2 binary64) 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)) (fma.f64 (-.f64 (.f64 #s(literal 7/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)) x (/.f64 #s(literal 1/2 binary64) 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) (- (exp (+ x x)) 1)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -31/30240 binary64) (-.f64 (.f64 #s(literal 7/720 binary64) (.f64 x x)) #s(literal 1/12 binary64))) x (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 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) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#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 #s(hole binary64 x))
#s(approx x x)
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 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) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 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) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 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) #s(hole binary64 (* 2 x)))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 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) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#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)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) 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)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#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)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1/2) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (- (/ 1 x) -1/2) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 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) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 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) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 2 x)) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 1/2))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (- (/ 1 x) -1/2) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#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)) (- (exp x) -1)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (neg (* -2 x))) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64))))

rewrite67.0ms (2.4%)

Memory

8.8MiB live, 58.3MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	108
0	35	108
1	129	103
0	1008	91

Stop Event

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

Counts

19 → 145

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

eval32.0ms (1.1%)

Memory: 10.3MiB live, 52.9MiB allocated; 10ms collecting garbage
Compiler: Compiled 4 936 to 746 computations (84.9% saved)

prune15.0ms (0.5%)

Memory

-12.9MiB live, 29.5MiB allocated; 10ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	270	4	274
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	271	9	280

Accuracy

100.0%

Counts

280 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.8%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
▶	81.3%	(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x 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))))
✓	66.0%	#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))))
▶	2.9%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
✓	66.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	66.2%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
▶	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 207 to 153 computations (26.1% saved)

series8.0ms (0.3%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

22 → 62

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1 2)
2.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1 2)
1.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1 2)

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify179.0ms (6.4%)

Memory

-7.8MiB live, 187.3MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	936
1	516	922
2	1518	903
3	7371	903
0	8506	766

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 62

Calls

Call 1

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) 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)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#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)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 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) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#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 #s(hole binary64 x))
#s(approx x x)
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 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) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1/2) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (- (/ 1 x) -1/2) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) 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)) (/.f64 #s(literal 1 binary64) 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)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#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)) (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 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)) (- (exp x) -1)) (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 #s(literal 1/2 binary64) 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)) (fma.f64 #s(literal -1/12 binary64) x (/.f64 #s(literal 1/2 binary64) 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)) (fma.f64 (-.f64 (.f64 #s(literal 7/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)) x (/.f64 #s(literal 1/2 binary64) 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) (- (exp (+ x x)) 1)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -31/30240 binary64) (-.f64 (.f64 #s(literal 7/720 binary64) (.f64 x x)) #s(literal 1/12 binary64))) x (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 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) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 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) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 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) #s(hole binary64 (* 2 x)))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 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) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#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 (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (-.f64 x #s(literal -2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 1/2))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (- (/ 1 x) -1/2) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (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 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)) (- (exp x) -1)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 2 x)) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 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 x) -1/2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.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 (* (/ (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)) (- (exp x) -1)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (neg (* -2 x))) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))

rewrite78.0ms (2.8%)

Memory

-12.7MiB live, 89.0MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	152
0	47	154
1	178	144
0	1392	142

Stop Event

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

Counts

22 → 134

Calls

Call 1

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

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

eval25.0ms (0.9%)

Memory: -6.7MiB live, 86.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 4 793 to 712 computations (85.1% saved)

prune8.0ms (0.3%)

Memory

25.0MiB live, 25.0MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	218	3	221
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	219	11	230

Accuracy

100.0%

Counts

230 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.8%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
▶	65.9%	(/.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (expm1.f64 x))
▶	80.4%	(.f64 (/.f64 (exp.f64 x) #s(approx (- (exp (+ x 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))))
✓	66.0%	#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))))
✓	2.9%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
✓	66.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	66.2%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	2.9%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/12 binary64) x)))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
✓	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 166 to 122 computations (26.5% saved)

series8.0ms (0.3%)

Memory

-32.7MiB live, 14.4MiB allocated; 3ms collecting garbage

Counts

21 → 68

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

simplify166.0ms (5.9%)

Memory

28.2MiB live, 267.0MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1032
1	538	1016
2	1574	997
3	6798	997
0	8055	843

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 68

Calls

Call 1

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) 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)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#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)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (- (/ 1 x) -1/2) (* -1/12 x)) #s(hole binary64 (/ 1 x)))
#s(approx (- (- (/ 1 x) -1/2) (* -1/12 x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (- (/ 1 x) -1/2) (* -1/12 x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (- (- (/ 1 x) -1/2) (* -1/12 x)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (- (- (/ 1 x) -1/2) (* -1/12 x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (- (- (/ 1 x) -1/2) (* -1/12 x)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1/2) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (- (/ 1 x) -1/2) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (* -1/12 x) #s(hole binary64 (* -1/12 x)))
#s(approx (* -1/12 x) (*.f64 #s(literal -1/12 binary64) x))
#s(approx x #s(hole binary64 x))
#s(approx x 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)) (/.f64 #s(literal 1 binary64) 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)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#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)) (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 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)) (- (exp x) -1)) (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 #s(literal 1/2 binary64) 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)) (fma.f64 #s(literal -1/12 binary64) x (/.f64 #s(literal 1/2 binary64) 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)) (fma.f64 (-.f64 (.f64 #s(literal 7/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)) x (/.f64 #s(literal 1/2 binary64) 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) (- (exp (+ x x)) 1)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -31/30240 binary64) (-.f64 (.f64 #s(literal 7/720 binary64) (.f64 x x)) #s(literal 1/12 binary64))) x (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 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) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#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 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 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) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 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) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 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 (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 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) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#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 (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (-.f64 x #s(literal -2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 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) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 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) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (- (- (/ 1 x) -1/2) (* -1/12 x)) #s(hole binary64 (* 1/12 x)))
#s(approx (- (- (/ 1 x) -1/2) (* -1/12 x)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (- (- (/ 1 x) -1/2) (* -1/12 x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (- (- (/ 1 x) -1/2) (* -1/12 x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (- (- (/ 1 x) -1/2) (* -1/12 x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (- (- (/ 1 x) -1/2) (* -1/12 x)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 1/2))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(approx (- (/ 1 x) -1/2) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (- (/ 1 x) -1/2) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#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)) (- (exp x) -1)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 2 x)) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (- (- (/ 1 x) -1/2) (* -1/12 x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (- (- (/ 1 x) -1/2) (* -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 (* (/ (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)) (- (exp x) -1)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (neg (* -2 x))) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))

rewrite64.0ms (2.3%)

Memory

11.8MiB live, 57.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	152
0	46	150
1	179	138
0	1341	130

Stop Event

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

Counts

21 → 134

Calls

Call 1

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

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

eval58.0ms (2.1%)

Memory: -43.7MiB live, 48.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 867 to 785 computations (86.6% saved)

prune10.0ms (0.4%)

Memory

30.0MiB live, 30.0MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	226	4	230
Fresh	0	0	0
Picked	2	1	3
Done	0	8	8
Total	228	13	241

Accuracy

100.0%

Counts

241 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.8%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
	74.1%	(/.f64 #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) 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)))
	71.1%	(/.f64 #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) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	18.2%	(.f64 (/.f64 (exp.f64 x) #s(approx (- (exp (+ x x)) 1) (.f64 #s(literal 2 binary64) x))) #s(approx (- (exp x) -1) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
	18.3%	(.f64 (/.f64 (exp.f64 x) #s(approx (- (exp (+ x x)) 1) (.f64 #s(literal 2 binary64) x))) #s(approx (- (exp x) -1) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
✓	66.0%	#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))))
✓	2.9%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
✓	66.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	66.2%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	2.9%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/12 binary64) x)))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
✓	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 576 to 267 computations (53.6% saved)

regimes99.0ms (3.5%)

Memory

-31.5MiB live, 80.9MiB allocated; 103ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

89.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.0ms	x
4.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.5%)

Memory

30.3MiB live, 30.3MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	(/.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 10 to 8 computations (20% saved)

regimes17.0ms (0.6%)

Memory

-17.7MiB live, 28.5MiB allocated; 3ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	x
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.3%)

Memory

21.4MiB live, 21.4MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

Outputs

(/.f64 #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) 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)))

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
74.1%	1	`(exp.f64 x)`
74.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
74.1%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.4%)

Memory

-26.5MiB live, 19.6MiB allocated; 4ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

Outputs

(/.f64 #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) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) 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
71.1%	1	`(exp.f64 x)`
71.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
71.1%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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
66.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
66.4%	1	`(exp.f64 x)`
66.4%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.4%)

Memory

-35.1MiB live, 13.9MiB allocated; 7ms collecting garbage

Accuracy

Total -0.6b remaining (-0.9%)

Threshold costs -0.6b (-0.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(exp.f64 x)
2.0ms	x
1.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify56.0ms (2%)

Memory

23.2MiB live, 66.8MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	105
1	47	105
2	66	105
3	111	105
4	341	105
5	2994	105
6	7390	105

Stop Event

1×	node limit

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

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

derivations340.0ms (12.1%)

Memory

-6.5MiB live, 224.0MiB allocated; 39ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 105 to 41 computations (61% saved)

preprocess58.0ms (2.1%)

Memory: 4.8MiB live, 49.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 236 to 104 computations (55.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample694.0ms (24.8%)

explain79.0ms (2.8%)

preprocess293.0ms (10.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series3.0ms (0.1%)

simplify148.0ms (5.3%)

rewrite48.0ms (1.7%)

eval6.0ms (0.2%)

prune4.0ms (0.1%)

series19.0ms (0.7%)

simplify165.0ms (5.9%)

rewrite67.0ms (2.4%)

eval32.0ms (1.1%)

prune15.0ms (0.5%)

series8.0ms (0.3%)

simplify179.0ms (6.4%)

rewrite78.0ms (2.8%)

eval25.0ms (0.9%)

prune8.0ms (0.3%)

series8.0ms (0.3%)

simplify166.0ms (5.9%)

rewrite64.0ms (2.3%)

eval58.0ms (2.1%)

prune10.0ms (0.4%)

regimes99.0ms (3.5%)

regimes13.0ms (0.5%)

regimes17.0ms (0.6%)

regimes8.0ms (0.3%)

regimes10.0ms (0.4%)

regimes7.0ms (0.2%)

regimes10.0ms (0.4%)

simplify56.0ms (2%)

derivations340.0ms (12.1%)

preprocess58.0ms (2.1%)

end0.0ms (0%)

Profiling