Metrics for expq2 (section 3.11)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample622.0ms (10.9%)

Memory

24.2MiB live, 431.1MiB allocated; 89ms collecting garbage

Samples

420.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 283.0ms

ival-exp: 107.0ms (37.7% of total)

ival-div: 86.0ms (30.3% of total)

ival-expm1: 46.0ms (16.2% of total)

ival->: 32.0ms (11.3% of total)

exact: 6.0ms (2.1% of total)

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

adjust: 2.0ms (0.7% of total)

Bogosity

explain65.0ms (1.1%)

Memory

11.5MiB live, 104.3MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
183	-	-	`(-.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	183	0

Confusion

	Predicted +	Predicted -
+	183	0
-	0	73

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	183	0	0
-	0	0	73

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	73
1	183

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

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% of total)

ival-div: 3.0ms (26.3% of total)

ival-expm1: 3.0ms (26.3% 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)

preprocess140.0ms (2.4%)

Memory

15.6MiB live, 159.5MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	21	19
2	62	19
3	186	19
4	864	19
0	5	7
0	8	7
1	13	7
2	26	7
3	56	7
4	229	7
5	2069	7
6	6649	7
0	8741	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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.2%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify127.0ms (2.2%)

Memory

6.7MiB live, 147.9MiB allocated; 14ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
cost-diff	2	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	13	15
2	26	15
3	56	15
4	229	15
5	2069	15
6	6649	15
0	8741	11

Stop Event

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

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

localize17.0ms (0.3%)

Memory

-20.8MiB live, 25.6MiB allocated; 3ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.01953125	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
accuracy	42.15492816738952	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (34.8% of total)

ival-exp: 2.0ms (34.8% of total)

ival-expm1: 2.0ms (34.8% 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)

series2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Counts

3 → 15

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))
(exp x)

Calls

3 calls:

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

simplify242.0ms (4.2%)

Memory

32.1MiB live, 313.8MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	111
1	166	111
2	530	105
3	1942	105
4	5239	105
0	8089	87

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))
(exp x)

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

rewrite180.0ms (3.1%)

Memory

-5.0MiB live, 270.8MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	30	13
2	177	13
3	1809	13
0	9626	9

Stop Event

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

Counts

3 → 466

Calls

Call 1

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

Outputs
(.f64 (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (expm1.f64 x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (neg.f64 (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x))))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) (/.f64 (expm1.f64 x) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (expm1.f64 x) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 (expm1.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (expm1.f64 x)))
(*.f64 (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (expm1.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (expm1.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
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(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (neg.f64 (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 (neg.f64 x)))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (fabs.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (fabs.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (fabs.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (exp.f64 x))) (sqrt.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (sqrt.f64 (.f64 (exp.f64 x) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 (cosh.f64 x) (exp.f64 x)) (.f64 (sinh.f64 x) (exp.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) (exp.f64 x)) (*.f64 (sinh.f64 x) (exp.f64 x)))))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (sqrt.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x))) (exp.f64 (neg.f64 x)))))
(/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (neg.f64 x))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(fma.f64 (sinh.f64 x) #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (cosh.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (cosh.f64 x))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) (cosh.f64 x))))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) (cosh.f64 x))))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) (cosh.f64 x))))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) (cosh.f64 x))))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64)))
(+.f64 (.f64 (cosh.f64 x) #s(literal 1 binary64)) (.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (sinh.f64 x)) (.f64 #s(literal 1 binary64) (cosh.f64 x)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (sinh.f64 x))
(+.f64 (.f64 (sinh.f64 x) #s(literal 1 binary64)) (.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x)))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x)))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 x)

eval71.0ms (1.2%)

Memory: 5.7MiB live, 101.6MiB allocated; 21ms collecting garbage
Compiler: Compiled 14 895 to 1 739 computations (88.3% saved)

prune15.0ms (0.3%)

Memory

-11.2MiB live, 34.8MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	564	8	572
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	565	8	573

Accuracy

100.0%

Counts

573 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.8%	(/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
	30.9%	(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
▶	72.2%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
▶	72.2%	#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))))
▶	72.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
	72.2%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))

Compiler

Compiled 208 to 154 computations (26% saved)

simplify177.0ms (3.1%)

Memory

22.2MiB live, 258.1MiB allocated; 63ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
cost-diff	0	(exp.f64 x)
cost-diff	0	(/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
cost-diff	2	(*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
cost-diff	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))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	1	(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
cost-diff	2	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	191
0	55	191
1	97	188
2	235	187
3	899	187
4	5785	183
0	8301	183

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
#s(literal 1 binary64)
(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
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))))
(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)
x
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/720 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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
(/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(exp.f64 x)
x
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(-.f64 #s(literal 1 binary64) (exp.f64 x))

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
#s(literal 1 binary64)
(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(/.f64 (expm1.f64 x) (exp.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
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))))
(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)
x
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (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)) (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/720 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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
(/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (/.f64 (-.f64 (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(exp.f64 x)
x
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(-.f64 #s(literal 1 binary64) (exp.f64 x))

localize188.0ms (3.3%)

Memory

11.8MiB live, 244.1MiB allocated; 41ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.03125	(pow.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	20.591081184735447	(/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
accuracy	42.11108185856248	(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
accuracy	42.15492816738952	(-.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	0.00390625	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy	0.0234375	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
accuracy	0.1015625	(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy	17.806645539264867	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy	0.1015625	(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy	17.762955648598787	#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))))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	17.867096831188423	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.00390625	(expm1.f64 x)
accuracy	0.01171875	(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))

Samples

64.0ms	113×	1	valid
61.0ms	69×	2	valid
39.0ms	74×	0	valid

Compiler

Compiled 188 to 31 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-exp: 37.0ms (32.1% of total)

adjust: 19.0ms (16.5% of total)

ival-div: 15.0ms (13% of total)

ival-mult: 11.0ms (9.5% of total)

const: 7.0ms (6.1% of total)

ival-expm1: 5.0ms (4.3% of total)

ival-pow2: 5.0ms (4.3% of total)

ival-pow: 5.0ms (4.3% of total)

ival-sub: 4.0ms (3.5% of total)

ival-add: 4.0ms (3.5% of total)

ival-neg: 2.0ms (1.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series18.0ms (0.3%)

Memory

-34.7MiB live, 22.0MiB allocated; 7ms collecting garbage

Counts

19 → 60

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (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)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(exp.f64 x)
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(expm1.f64 x)
(-.f64 #s(literal 1 binary64) (exp.f64 x))
(pow.f64 (exp.f64 x) #s(literal 2 binary64))

Outputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(pow x 3)
(* -2 x)
(* x (- (* -4 x) 2))
(* x (- (* x (- (* -13/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -10/3 x) 13/3)) 4)) 2))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x (- (* -2 x) 2))
(* x (- (* x (- (* -4/3 x) 2)) 2))
(* x (- (* x (- (* x (- (* -2/3 x) 4/3)) 2)) 2))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/6 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)) 1))
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(/ 1 (* (exp (neg x)) (- (exp x) 1)))
(* (exp (neg x)) (- (exp x) 1))
(exp (neg x))
(/ (exp x) (- (exp x) 1))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (/ 1 x))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* (exp x) (- 1 (pow (exp x) 2)))
(/ (* (exp x) (- 1 (pow (exp x) 2))) (* (- 1 (exp x)) (- (exp (* 2 x)) 1)))
(exp x)
(- 1 (pow (exp x) 2))
(- (exp x) 1)
(- 1 (exp x))
(pow (exp x) 2)
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(* (exp (* -1 x)) (- (exp x) 1))
(exp (* -1 x))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) (* (exp x) (- 1 (pow (exp x) 2))) (/ (* (exp x) (- 1 (pow (exp x) 2))) (* (- (exp (* 2 x)) 1) (- 1 (exp x)))) (exp x) (- 1 (pow (exp x) 2)) (- (exp x) 1) (- 1 (exp x)) (pow (exp x) 2))
4.0ms	x	@	inf	((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) (* (exp x) (- 1 (pow (exp x) 2))) (/ (* (exp x) (- 1 (pow (exp x) 2))) (* (- (exp (* 2 x)) 1) (- 1 (exp x)))) (exp x) (- 1 (pow (exp x) 2)) (- (exp x) 1) (- 1 (exp x)) (pow (exp x) 2))
3.0ms	x	@	0	((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) (* (exp x) (- 1 (pow (exp x) 2))) (/ (* (exp x) (- 1 (pow (exp x) 2))) (* (- (exp (* 2 x)) 1) (- 1 (exp x)))) (exp x) (- 1 (pow (exp x) 2)) (- (exp x) 1) (- 1 (exp x)) (pow (exp x) 2))

Time

Variable

Point

Expression

11.0ms

-inf

((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) (* (exp x) (- 1 (pow (exp x) 2))) (/ (* (exp x) (- 1 (pow (exp x) 2))) (* (- (exp (* 2 x)) 1) (- 1 (exp x)))) (exp x) (- 1 (pow (exp x) 2)) (- (exp x) 1) (- 1 (exp x)) (pow (exp x) 2))

4.0ms

inf

((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) (* (exp x) (- 1 (pow (exp x) 2))) (/ (* (exp x) (- 1 (pow (exp x) 2))) (* (- (exp (* 2 x)) 1) (- 1 (exp x)))) (exp x) (- 1 (pow (exp x) 2)) (- (exp x) 1) (- 1 (exp x)) (pow (exp x) 2))

3.0ms

((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) (* (exp x) (- 1 (pow (exp x) 2))) (/ (* (exp x) (- 1 (pow (exp x) 2))) (* (- (exp (* 2 x)) 1) (- 1 (exp x)))) (exp x) (- 1 (pow (exp x) 2)) (- (exp x) 1) (- 1 (exp x)) (pow (exp x) 2))

simplify149.0ms (2.6%)

Memory

22.3MiB live, 211.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	534
1	554	527
2	1697	509
3	6866	507
0	8302	464

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(pow x 3)
(* -2 x)
(* x (- (* -4 x) 2))
(* x (- (* x (- (* -13/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -10/3 x) 13/3)) 4)) 2))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x (- (* -2 x) 2))
(* x (- (* x (- (* -4/3 x) 2)) 2))
(* x (- (* x (- (* x (- (* -2/3 x) 4/3)) 2)) 2))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/6 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)) 1))
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(/ 1 (* (exp (neg x)) (- (exp x) 1)))
(* (exp (neg x)) (- (exp x) 1))
(exp (neg x))
(/ (exp x) (- (exp x) 1))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (/ 1 x))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* (exp x) (- 1 (pow (exp x) 2)))
(/ (* (exp x) (- 1 (pow (exp x) 2))) (* (- 1 (exp x)) (- (exp (* 2 x)) 1)))
(exp x)
(- 1 (pow (exp x) 2))
(- (exp x) 1)
(- 1 (exp x))
(pow (exp x) 2)
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(* (exp (* -1 x)) (- (exp x) 1))
(exp (* -1 x))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) x #s(literal -1/2 binary64)))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
(.f64 (fma.f64 (-.f64 (.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)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* -4 x) 2))
(.f64 (-.f64 (.f64 #s(literal -4 binary64) x) #s(literal 2 binary64)) x)
(* x (- (* x (- (* -13/3 x) 4)) 2))
(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -13/3 binary64) x) #s(literal 4 binary64)) x) #s(literal 2 binary64)) x)
(* x (- (* x (- (* x (- (* -10/3 x) 13/3)) 4)) 2))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -10/3 binary64) x) #s(literal 13/3 binary64)) x) #s(literal 4 binary64)) x) #s(literal 2 binary64)) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 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))
(* x (- (* -2 x) 2))
(.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) x)
(* x (- (* x (- (* -4/3 x) 2)) 2))
(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x)
(* x (- (* x (- (* x (- (* -2/3 x) 4/3)) 2)) 2))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) x) #s(literal 4/3 binary64)) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x)
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.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)
(* x (- (* -1/2 x) 1))
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(* x (- (* x (- (* -1/6 x) 1/2)) 1))
(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(* x (- (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)) 1))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(/ 1 (* (exp (neg x)) (- (exp x) 1)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(* (exp (neg x)) (- (exp x) 1))
(/.f64 (expm1.f64 x) (exp.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(* -1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (exp x) (- 1 (pow (exp x) 2)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x))
(/ (* (exp x) (- 1 (pow (exp x) 2))) (* (- 1 (exp x)) (- (exp (* 2 x)) 1)))
(.f64 (/.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(exp x)
(exp.f64 x)
(- 1 (pow (exp x) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(- (exp x) 1)
(expm1.f64 x)
(- 1 (exp x))
(-.f64 #s(literal 1 binary64) (exp.f64 x))
(pow (exp x) 2)
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(* (exp (* -1 x)) (- (exp x) 1))
(/.f64 (expm1.f64 x) (exp.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)) (neg.f64 x))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/12 binary64) (.f64 x x)) #s(literal -1 binary64) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) x) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) (.f64 x x))))

rewrite300.0ms (5.2%)

Memory

17.2MiB live, 301.7MiB allocated; 139ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	139
0	55	128
1	207	122
2	1461	122
0	8214	122

Stop Event

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

Counts

19 → 613

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (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)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(exp.f64 x)
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(expm1.f64 x)
(-.f64 #s(literal 1 binary64) (exp.f64 x))
(pow.f64 (exp.f64 x) #s(literal 2 binary64))

Outputs
(.f64 (/.f64 (neg.f64 (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
(.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
(.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (/.f64 (neg.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 (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (expm1.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (/.f64 (neg.f64 (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 (exp.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 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (exp.f64 x)))) (neg.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (exp.f64 x)))))
(.f64 (fabs.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (exp.f64 x)))) (fabs.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (exp.f64 x)))))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (exp.f64 x) (expm1.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (exp.f64 x) (expm1.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (exp.f64 x))) (*.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (exp.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(.f64 (/.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (expm1.f64 (.f64 #s(literal 2 binary64) x))))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (exp.f64 x))
(.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (exp.f64 x))
(.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 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 x) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (exp.f64 x) (pow.f64 (expm1.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))))
(pow.f64 (exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (expm1.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (expm1.f64 x) (exp.f64 (neg.f64 x)))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (expm1.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x))) (.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))) (-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)) (-.f64 (.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))) (.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))))))
(/.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (expm1.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (exp.f64 x) (expm1.f64 x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (exp.f64 x)))) (neg.f64 (neg.f64 (.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (.f64 (expm1.f64 x) (sinh.f64 x))) (.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (neg.f64 (.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 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (exp.f64 x) (expm1.f64 x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (exp.f64 x))) (neg.f64 (.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (exp.f64 x) (expm1.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (exp.f64 x)) (.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) (exp.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (expm1.f64 x)) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) (exp.f64 (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (exp.f64 (neg.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 x) (exp.f64 (neg.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(neg.f64 (.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(neg.f64 (.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 4 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 (.f64 #s(literal 2 binary64) x))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 (.f64 #s(literal 2 binary64) x))))
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(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal -1 binary64) (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
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(-.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (pow.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (exp.f64 x))))
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (exp.f64 x) (exp.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 x) (exp.f64 x)) (.f64 (cosh.f64 x) (exp.f64 x))) (.f64 (.f64 (sinh.f64 x) (exp.f64 x)) (.f64 (sinh.f64 x) (exp.f64 x)))) (-.f64 (.f64 (cosh.f64 x) (exp.f64 x)) (.f64 (sinh.f64 x) (exp.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) (-.f64 (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) (cosh.f64 x)) (.f64 (exp.f64 x) (cosh.f64 x))) (.f64 (.f64 (exp.f64 x) (sinh.f64 x)) (.f64 (exp.f64 x) (sinh.f64 x)))) (-.f64 (.f64 (exp.f64 x) (cosh.f64 x)) (.f64 (exp.f64 x) (sinh.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (-.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) (cosh.f64 (.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 x) (exp.f64 x)) (.f64 (cosh.f64 x) (exp.f64 x)) (-.f64 (.f64 (.f64 (sinh.f64 x) (exp.f64 x)) (.f64 (sinh.f64 x) (exp.f64 x))) (.f64 (.f64 (cosh.f64 x) (exp.f64 x)) (.f64 (sinh.f64 x) (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (.f64 (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) (sinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 x) (cosh.f64 x)) (.f64 (exp.f64 x) (cosh.f64 x)) (-.f64 (.f64 (.f64 (exp.f64 x) (sinh.f64 x)) (.f64 (exp.f64 x) (sinh.f64 x))) (.f64 (.f64 (exp.f64 x) (cosh.f64 x)) (.f64 (exp.f64 x) (sinh.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) (cosh.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (sinh.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (cosh.f64 x) (exp.f64 x) (*.f64 (sinh.f64 x) (exp.f64 x)))
(fma.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64) (.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) (cosh.f64 x)) (cosh.f64 (.f64 #s(literal 2 binary64) x)))
(fma.f64 (exp.f64 x) (cosh.f64 x) (*.f64 (exp.f64 x) (sinh.f64 x)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))))
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)))))
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (sinh.f64 (.f64 #s(literal 2 binary64) x)))))) (/.f64 (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (sinh.f64 (.f64 #s(literal 2 binary64) x)))))))
(+.f64 (.f64 (cosh.f64 x) (exp.f64 x)) (.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (.f64 (exp.f64 x) (cosh.f64 x)) (.f64 (exp.f64 x) (sinh.f64 x)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))))
(+.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) (cosh.f64 (.f64 #s(literal 2 binary64) x)))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (sinh.f64 (.f64 #s(literal 2 binary64) x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) x))

eval114.0ms (2%)

Memory: -36.5MiB live, 104.9MiB allocated; 20ms collecting garbage
Compiler: Compiled 27 064 to 3 128 computations (88.4% saved)

prune20.0ms (0.3%)

Memory

3.7MiB live, 49.9MiB allocated; 2ms collecting garbage

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	778	8	786
Fresh	0	3	3
Picked	1	4	5
Done	0	0	0
Total	779	15	794

Accuracy

100.0%

Counts

794 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	31.8%	(/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
	30.9%	(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
	94.1%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)))
▶	92.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	86.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
▶	72.2%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
✓	72.2%	#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))))
✓	72.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	72.2%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
	20.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))))
▶	3.5%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
	72.2%	#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) x #s(literal -1/2 binary64))))

Compiler

Compiled 494 to 365 computations (26.1% saved)

simplify109.0ms (1.9%)

Memory

32.7MiB live, 130.1MiB allocated; 14ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
cost-diff	2	(.f64 (.f64 x x) x)
cost-diff	0	(fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/12 binary64) x)
cost-diff	0	#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
cost-diff	0	(expm1.f64 x)
cost-diff	0	(exp.f64 x)
cost-diff	0	(/.f64 (exp.f64 x) (expm1.f64 x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	198
0	54	198
1	83	192
2	191	190
3	598	190
4	2240	190
0	8779	190

Stop Event

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

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

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

localize87.0ms (1.5%)

Memory

-14.7MiB live, 74.9MiB allocated; 9ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
accuracy	0.06640625	(.f64 (.f64 x x) x)
accuracy	0.1015625	(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy	17.806645539264867	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
accuracy	0.02734375	(fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.02734375	(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.33203125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	4.5276201789327795	#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy	17.815229111950494	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy	0.33203125	(*.f64 #s(literal 1/12 binary64) x)
accuracy	17.762955648598787	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
accuracy	44.95441342123872	#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
accuracy	0.0	(exp.f64 x)
accuracy	0.00390625	(expm1.f64 x)
accuracy	0.01953125	(/.f64 (exp.f64 x) (expm1.f64 x))

Samples

71.0ms

256×

valid

Compiler

Compiled 159 to 29 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-sub: 16.0ms (28.5% of total)

ival-mult: 15.0ms (26.7% of total)

const: 9.0ms (16% of total)

ival-div: 5.0ms (8.9% of total)

ival-exp: 4.0ms (7.1% of total)

ival-add: 3.0ms (5.3% of total)

ival-expm1: 2.0ms (3.6% of total)

ival-neg: 1.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

19 → 49

Calls

Call 1

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

Outputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/12 x)
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/6 x) 1/2)))
(pow x 3)
(pow x 2)
(* 1/6 x)
(/ (exp x) (- (exp x) 1))
(exp x)
(- (exp x) 1)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (/ 1 x))
(/ 1 (* (exp (neg x)) (- (exp x) 1)))
(* (exp (neg x)) (- (exp x) 1))
(* 1/6 (pow x 3))
(* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/6 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/6 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(* (exp (* -1 x)) (- (exp x) 1))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)))
(* (pow x 2) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ 1 x) (/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (+ (* (- (* 1/6 x) 1/2) x) 1) (* (* x x) x) (/ (exp x) (- (exp x) 1)) (+ (* (* (* x x) x) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (* x x) (* 1/6 x) (+ (* 1/12 x) (- (/ 1 x) -1/2)))

2.0ms

inf

((/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ 1 x) (/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (+ (* (- (* 1/6 x) 1/2) x) 1) (* (* x x) x) (/ (exp x) (- (exp x) 1)) (+ (* (* (* x x) x) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (* x x) (* 1/6 x) (+ (* 1/12 x) (- (/ 1 x) -1/2)))

2.0ms

((/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ 1 x) (/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (+ (* (- (* 1/6 x) 1/2) x) 1) (* (* x x) x) (/ (exp x) (- (exp x) 1)) (+ (* (* (* x x) x) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (* x x) (* 1/6 x) (+ (* 1/12 x) (- (/ 1 x) -1/2)))

simplify175.0ms (3.1%)

Memory

-23.6MiB live, 119.8MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	445
1	441	433
2	1497	409
3	6115	407
0	8112	368

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/12 x)
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/6 x) 1/2)))
(pow x 3)
(pow x 2)
(* 1/6 x)
(/ (exp x) (- (exp x) 1))
(exp x)
(- (exp x) 1)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (/ 1 x))
(/ 1 (* (exp (neg x)) (- (exp x) 1)))
(* (exp (neg x)) (- (exp x) 1))
(* 1/6 (pow x 3))
(* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/6 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/6 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(* (exp (* -1 x)) (- (exp x) 1))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)))
(* (pow x 2) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))

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

rewrite223.0ms (3.9%)

Memory

39.1MiB live, 186.5MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	170
0	54	164
1	171	164
2	1189	164
0	8503	164

Stop Event

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

Counts

19 → 379

Calls

Call 1

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

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

eval64.0ms (1.1%)

Memory: -29.7MiB live, 100.2MiB allocated; 17ms collecting garbage
Compiler: Compiled 17 289 to 1 913 computations (88.9% saved)

prune15.0ms (0.3%)

Memory

39.6MiB live, 39.6MiB allocated; 0ms collecting garbage

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	453	6	459
Fresh	2	4	6
Picked	1	4	5
Done	0	4	4
Total	456	18	474

Accuracy

100.0%

Counts

474 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	31.8%	(/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
	30.9%	(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
▶	39.2%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))))
▶	94.1%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)))
✓	92.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
▶	86.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
	26.0%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
▶	24.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x)))))
	72.2%	#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))))
	38.8%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))
✓	72.2%	#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))))
✓	72.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	72.2%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
✓	3.5%	#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 608 to 416 computations (31.6% saved)

simplify91.0ms (1.6%)

Memory

-3.7MiB live, 96.8MiB allocated; 15ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	2	(*.f64 #s(literal 1 binary64) x)
cost-diff	2	(.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x))
cost-diff	2	(-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)))
cost-diff	20	(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x))
cost-diff	0	#s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x)))
cost-diff	0	#s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x)))))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
cost-diff	0	#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (-.f64 (*.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))
cost-diff	0	(.f64 (fma.f64 (-.f64 (.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)
cost-diff	0	#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	500
0	77	470
1	149	462
2	520	388
3	3294	384
0	8275	359

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal 1 binary64)
#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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 (fma.f64 (-.f64 (.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)
(fma.f64 (-.f64 (*.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))
(-.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))
#s(literal -1/24 binary64)
x
#s(literal 1/6 binary64)
#s(literal 1/2 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)
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x) x))))
#s(literal 1 binary64)
#s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x))))
#s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x) x)))
#s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x)))
#s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x) x))
(.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x) x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal -1/2 binary64)
(*.f64 x x)
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x x)))
#s(literal 1 binary64)
#s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x))))
#s(approx (* (exp (neg x)) (- (exp x) 1)) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x x)
(-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))) (neg.f64 x)) x)
(.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x)) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)
(.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) x)
x
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)

localize130.0ms (2.3%)

Memory

-16.6MiB live, 124.9MiB allocated; 18ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.33203125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	4.5276201789327795	#s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x))))
accuracy	7.574218750000001	(-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)))
accuracy	35.263755551731194	(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))
accuracy	0.046875	(.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x))
accuracy	0.08984375	(fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))
accuracy	4.5276201789327795	#s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x))))
accuracy	43.700573620986546	#s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x)))
accuracy	0.0	(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
accuracy	0.02734375	(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
accuracy	8.351531464723005	#s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
accuracy	17.815229111950494	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
accuracy	45.28031640162366	#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
accuracy	0.03125	(.f64 (fma.f64 (-.f64 (.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)
accuracy	0.109375	(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))
accuracy	0.25	(*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x)
accuracy	3.766033971078812	#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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))

Samples

91.0ms

256×

valid

Compiler

Compiled 326 to 42 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-sub: 25.0ms (34% of total)

ival-mult: 23.0ms (31.3% of total)

ival-div: 6.0ms (8.2% of total)

const: 6.0ms (8.2% of total)

ival-add: 5.0ms (6.8% of total)

ival-exp: 4.0ms (5.4% of total)

ival-expm1: 2.0ms (2.7% of total)

ival-neg: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

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

Counts

23 → 69

Calls

Call 1

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

Outputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/6 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/6 x) 1/2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/6 x))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 1/36 x) 1/6)))) 1))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* -1/6 x)))
(* (pow x 4) (+ 1/4 (* x (- (* 1/36 x) 1/6))))
(* 1/6 x)
(* x (+ 1/6 (* -1/24 x)))
1/6
(+ 1/6 (* -1/24 x))
-1/2
(- (* 1/6 x) 1/2)
(/ 1 (* (exp (neg x)) (- (exp x) 1)))
(* (exp (neg x)) (- (exp x) 1))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 x)) 1/24))
(* (pow x 4) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/24 (/ 1/2 (pow x 2)))))
(* -1/24 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))
(* (pow x 3) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/24 (/ 1/2 (pow x 2)))))
(/ (exp x) (- (exp x) 1))
1/2
(+ 1/2 (/ 1 x))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(* 1/6 (pow x 3))
(* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/6 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/36 (pow x 6))
(* (pow x 6) (- 1/36 (* 1/6 (/ 1 x))))
(* (pow x 6) (- (+ 1/36 (/ 1/4 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 6) (- (+ 1/36 (/ 1/4 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 4)))))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 x)) 1/24))
(* -1/24 x)
(* x (- (* 1/6 (/ 1 x)) 1/24))
(* x (- 1/6 (* 1/2 (/ 1 x))))
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(* (exp (* -1 x)) (- (exp x) 1))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))
(* -1 (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)))
(* (pow x 6) (+ 1/36 (* -1 (/ (- 1/6 (* 1/4 (/ 1 x))) x))))
(* (pow x 6) (+ 1/36 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/4 (/ 1 (pow x 2))) x))) x))))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/6)))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (* (+ (* 1/6 x) -1/2) (* x x)) (/ (- (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* (* 1 x) (* 1 x))) (- (* (* (- (* 1/6 x) 1/2) x) x) (* 1 x))) (- (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* (* 1 x) (* 1 x))) (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* 1 x) (* (+ (* -1/24 x) 1/6) x) (+ (* -1/24 x) 1/6) (+ (* 1/6 x) -1/2) (* (exp (neg x)) (- (exp x) 1)) (* 1/6 x))

4.0ms

-inf

((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (* (+ (* 1/6 x) -1/2) (* x x)) (/ (- (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* (* 1 x) (* 1 x))) (- (* (* (- (* 1/6 x) 1/2) x) x) (* 1 x))) (- (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* (* 1 x) (* 1 x))) (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* 1 x) (* (+ (* -1/24 x) 1/6) x) (+ (* -1/24 x) 1/6) (+ (* 1/6 x) -1/2) (* (exp (neg x)) (- (exp x) 1)) (* 1/6 x))

2.0ms

((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (* (+ (* 1/6 x) -1/2) (* x x)) (/ (- (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* (* 1 x) (* 1 x))) (- (* (* (- (* 1/6 x) 1/2) x) x) (* 1 x))) (- (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* (* 1 x) (* 1 x))) (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* 1 x) (* (+ (* -1/24 x) 1/6) x) (+ (* -1/24 x) 1/6) (+ (* 1/6 x) -1/2) (* (exp (neg x)) (- (exp x) 1)) (* 1/6 x))

simplify150.0ms (2.6%)

Memory

8.8MiB live, 98.4MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	647
1	536	628
2	1522	609
3	5945	603
0	8646	568

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 68

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/6 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/6 x) 1/2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/6 x))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 1/36 x) 1/6)))) 1))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* -1/6 x)))
(* (pow x 4) (+ 1/4 (* x (- (* 1/36 x) 1/6))))
(* 1/6 x)
(* x (+ 1/6 (* -1/24 x)))
1/6
(+ 1/6 (* -1/24 x))
-1/2
(- (* 1/6 x) 1/2)
(/ 1 (* (exp (neg x)) (- (exp x) 1)))
(* (exp (neg x)) (- (exp x) 1))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 x)) 1/24))
(* (pow x 4) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/24 (/ 1/2 (pow x 2)))))
(* -1/24 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))
(* (pow x 3) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/24 (/ 1/2 (pow x 2)))))
(/ (exp x) (- (exp x) 1))
1/2
(+ 1/2 (/ 1 x))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(* 1/6 (pow x 3))
(* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/6 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/36 (pow x 6))
(* (pow x 6) (- 1/36 (* 1/6 (/ 1 x))))
(* (pow x 6) (- (+ 1/36 (/ 1/4 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 6) (- (+ 1/36 (/ 1/4 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 4)))))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 x)) 1/24))
(* -1/24 x)
(* x (- (* 1/6 (/ 1 x)) 1/24))
(* x (- 1/6 (* 1/2 (/ 1 x))))
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(* (exp (* -1 x)) (- (exp x) 1))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))
(* -1 (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)))
(* (pow x 6) (+ 1/36 (* -1 (/ (- 1/6 (* 1/4 (/ 1 x))) x))))
(* (pow x 6) (+ 1/36 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/4 (/ 1 (pow x 2))) x))) x))))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/6)))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(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)))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
(.f64 (fma.f64 (-.f64 (.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)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 1/6 x) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)))
(fma.f64 (-.f64 (*.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))
(* -1/2 (pow x 2))
(.f64 (.f64 #s(literal -1/2 binary64) x) x)
(* (pow x 2) (- (* 1/6 x) 1/2))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/6 x))) 1))
(.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 1/36 x) 1/6)))) 1))
(.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(* 1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(* (pow x 4) (+ 1/4 (* -1/6 x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/4 binary64)))
(* (pow x 4) (+ 1/4 (* x (- (* 1/36 x) 1/6))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/24 x)))
(*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/24 x))
(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 x) 1/2)
(fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))
(/ 1 (* (exp (neg x)) (- (exp x) 1)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(* (exp (neg x)) (- (exp x) 1))
(/.f64 (expm1.f64 x) (exp.f64 x))
(* -1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 x)) 1/24))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/24 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/24 binary64)))
(* (pow x 3) (- (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/24 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 x) 1/2))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (/ 1 x) 1/2))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x) x)
(* (pow x 3) (- (+ 1/6 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* 1/36 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))
(* (pow x 6) (- 1/36 (* 1/6 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/36 (/ 1/4 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/36 (/ 1/4 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 4)))))
(*.f64 (-.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* -1/24 (pow x 2))
(.f64 #s(literal -1/24 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/6 (/ 1 x)) 1/24))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x) x)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* x (- (* 1/6 (/ 1 x)) 1/24))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)
(* x (- 1/6 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(* (exp (* -1 x)) (- (exp x) 1))
(/.f64 (expm1.f64 x) (exp.f64 x))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))))
(.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))
(* -1 (* (pow x 3) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))))
(*.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 1/2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 6) (+ 1/36 (* -1 (/ (- 1/6 (* 1/4 (/ 1 x))) x))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/36 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/4 (/ 1 (pow x 2))) x))) x))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x)) x)) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* x (- 1/24 (* 1/6 (/ 1 x)))))
(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/6)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (neg.f64 x))

rewrite237.0ms (4.1%)

Memory

-14.0MiB live, 211.9MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	379
0	75	329
1	290	297
2	2077	297
0	8773	276

Stop Event

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

Counts

23 → 708

Calls

Call 1

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

Outputs
(.f64 (neg.f64 (pow.f64 #s(approx ( (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1/2 binary64))) (neg.f64 (pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1/2 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx ( (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1/2 binary64))) (fabs.f64 (pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal -1/2 binary64))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64)))) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64)))) #s(literal -1/8 binary64))) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x #s(literal -1/12 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 x #s(literal -1/12 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 x #s(literal -1/12 binary64))))))
(+.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* (exp (neg x)) (- (exp x) 1)) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) x))
(sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)))
(fabs.f64 (*.f64 #s(literal 1/6 binary64) x))

eval141.0ms (2.5%)

Memory: 3.2MiB live, 190.0MiB allocated; 42ms collecting garbage
Compiler: Compiled 38 890 to 4 164 computations (89.3% saved)

prune32.0ms (0.6%)

Memory

23.2MiB live, 84.2MiB allocated; 11ms collecting garbage

Pruning

24 alts after pruning (13 fresh and 11 done)

	Pruned	Kept	Total
New	825	8	833
Fresh	0	5	5
Picked	1	4	5
Done	1	7	8
Total	827	24	851

Accuracy

100.0%

Counts

851 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	31.8%	(/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
	30.9%	(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
	41.5%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 #s(approx (- (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* (* 1 x) (* 1 x))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (*.f64 #s(literal 1 binary64) x)))))
	41.1%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 #s(approx (- (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* (* 1 x) (* 1 x))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))))
	86.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) x)))
	92.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (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)))
	94.1%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
✓	94.1%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)))
	93.8%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
✓	86.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
	27.1%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) x)))
	26.0%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
	18.5%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
✓	24.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x)))))
	72.2%	#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))))
	38.8%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))
✓	72.2%	#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))))
✓	72.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	72.2%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
✓	3.5%	#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 1 357 to 624 computations (54% saved)

regimes25.0ms (0.4%)

Memory

3.5MiB live, 48.5MiB allocated; 7ms collecting garbage

Counts

31 → 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(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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) x #s(literal -1/2 binary64))))
#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))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 #s(approx (- (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* (* 1 x) (* 1 x))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 #s(approx (- (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* (* 1 x) (* 1 x))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (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(approx (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
(/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))

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

Calls

3 calls:

8.0ms	x
6.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
6.0ms	(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)

regimes27.0ms (0.5%)

Memory

-32.1MiB live, 59.2MiB allocated; 10ms collecting garbage

Counts

29 → 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(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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) x #s(literal -1/2 binary64))))
#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))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 #s(approx (- (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* (* 1 x) (* 1 x))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 #s(approx (- (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* (* 1 x) (* 1 x))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (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(approx (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

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

Calls

3 calls:

8.0ms	(exp.f64 x)
7.0ms	x
6.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

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)

regimes19.0ms (0.3%)

Memory

27.9MiB live, 27.9MiB allocated; 0ms collecting garbage

Counts

27 → 2

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(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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) x #s(literal -1/2 binary64))))
#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))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 #s(approx (- (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* (* 1 x) (* 1 x))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 #s(approx (- (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* (* 1 x) (* 1 x))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (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(approx (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))

Outputs

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

#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))))

Calls

3 calls:

7.0ms	x
5.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
99.1%	2	`(exp.f64 x)`
97.8%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
99.1%	2	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes27.0ms (0.5%)

Memory

-28.4MiB live, 24.6MiB allocated; 9ms collecting garbage

Counts

23 → 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(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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) x #s(literal -1/2 binary64))))
#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))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 #s(approx (- (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* (* 1 x) (* 1 x))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 #s(approx (- (* (* (* (- (* 1/6 x) 1/2) x) x) (* (* (- (* 1/6 x) 1/2) x) x)) (* (* 1 x) (* 1 x))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))))

Outputs

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

15.0ms	(exp.f64 x)
6.0ms	x
5.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
94.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
94.1%	1	`(exp.f64 x)`
94.1%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes14.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms 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(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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) x #s(literal -1/2 binary64))))
#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))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
93.8%	1	`(exp.f64 x)`
93.8%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
93.8%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes17.0ms (0.3%)

Memory

-18.6MiB live, 26.3MiB allocated; 6ms collecting garbage

Counts

16 → 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(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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) x #s(literal -1/2 binary64))))
#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))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* (+ (* -1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))) x)))

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

8.0ms	(exp.f64 x)
5.0ms	x
4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
92.9%	1	`x`
92.9%	1	`(exp.f64 x)`
92.9%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Counts

11 → 2

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
93.0%	3	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
93.0%	2	`(exp.f64 x)`
93.0%	2	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

10 → 2

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

Outputs

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

Calls

2 calls:

3.0ms	x
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
93.0%	2	`(exp.f64 x)`
93.0%	2	`x`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes11.0ms (0.2%)

Memory

-27.4MiB live, 17.4MiB allocated; 6ms 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(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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) x)))

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

Calls

3 calls:

6.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
86.9%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
86.9%	1	`(exp.f64 x)`
86.9%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms 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(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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
86.9%	1	`(exp.f64 x)`
86.9%	1	`x`
86.9%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Counts

7 → 2

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

Outputs

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

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
87.2%	2	`(exp.f64 x)`
87.2%	2	`x`
87.2%	3	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

6 → 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(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)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))

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
72.2%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
72.2%	1	`(exp.f64 x)`
72.2%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory

-37.2MiB live, 9.4MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

3 calls:

3.0ms	(exp.f64 x)
2.0ms	x
1.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
72.2%	1	`x`
72.2%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
72.2%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

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(literal 1 binary64) x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
72.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
72.1%	1	`(exp.f64 x)`
72.1%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

3 → 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))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.5%	1	`(exp.f64 x)`
3.5%	1	`x`
3.5%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory

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

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch11.0ms (0.2%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-21.20506571132284	-0.4461248880503423

Samples

5.0ms

112×

valid

Compiler

Compiled 234 to 183 computations (21.8% saved)

Precisions

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

ival-div: 1.0ms (33% of total)

ival-exp: 1.0ms (33% of total)

ival-expm1: 1.0ms (33% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-21.20506571132284	-0.4461248880503423

Samples

1.0ms

16×

valid

Compiler

Compiled 339 to 267 computations (21.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

adjust: 0.0ms (0% of total)

ival-expm1: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

-49.1MiB live, 4.9MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	-21.20506571132284	-0.4461248880503423

Samples

5.0ms

48×

valid

Compiler

Compiled 318 to 253 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-exp: 1.0ms (72.7% of total)

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

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

adjust: 0.0ms (0% of total)

ival-expm1: 0.0ms (0% of total)

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

bsearch4.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	-21.20506571132284	-0.4461248880503423

Samples

1.0ms

32×

valid

Compiler

Compiled 276 to 225 computations (18.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

adjust: 0.0ms (0% of total)

ival-expm1: 0.0ms (0% of total)

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

simplify56.0ms (1%)

Memory

3.3MiB live, 48.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	108	374
1	142	374
2	210	366
3	405	366
4	1617	350

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 binary64)) (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (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)))
(if (<=.f64 x #s(literal -7/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 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)))))
(if (<=.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) 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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -9/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) 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)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 binary64)) (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (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)))
(if (<=.f64 x #s(literal -7/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 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)))))
(if (<=.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) 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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -9/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) 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)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

derivations1.4s (24%)

Memory

20.6MiB live, 674.9MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	534
1	554	527
2	1697	509
3	6866	507
0	8302	464
0	5	13
0	8	13
1	30	13
2	177	13
3	1809	13
0	9626	9
0	44	111
1	166	111
2	530	105
3	1942	105
4	5239	105
0	8089	87
0	180	647
1	536	628
2	1522	609
3	5945	603
0	8646	568
0	49	379
0	75	329
1	290	297
2	2077	297
0	8773	276
0	137	445
1	441	433
2	1497	409
3	6115	407
0	8112	368

Stop Event

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

Compiler

Compiled 374 to 114 computations (69.5% saved)

preprocess151.0ms (2.6%)

Memory: -3.9MiB live, 89.0MiB allocated; 18ms collecting garbage
Compiler: Compiled 774 to 250 computations (67.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample622.0ms (10.9%)

explain65.0ms (1.1%)

preprocess140.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify127.0ms (2.2%)

localize17.0ms (0.3%)

series2.0ms (0%)

simplify242.0ms (4.2%)

rewrite180.0ms (3.1%)

eval71.0ms (1.2%)

prune15.0ms (0.3%)

simplify177.0ms (3.1%)

localize188.0ms (3.3%)

series18.0ms (0.3%)

simplify149.0ms (2.6%)

rewrite300.0ms (5.2%)

eval114.0ms (2%)

prune20.0ms (0.3%)

simplify109.0ms (1.9%)

localize87.0ms (1.5%)

series7.0ms (0.1%)

simplify175.0ms (3.1%)

rewrite223.0ms (3.9%)

eval64.0ms (1.1%)

prune15.0ms (0.3%)

simplify91.0ms (1.6%)

localize130.0ms (2.3%)

series13.0ms (0.2%)

simplify150.0ms (2.6%)

rewrite237.0ms (4.1%)

eval141.0ms (2.5%)

prune32.0ms (0.6%)

regimes25.0ms (0.4%)

regimes27.0ms (0.5%)

regimes19.0ms (0.3%)

regimes27.0ms (0.5%)

regimes14.0ms (0.2%)

regimes17.0ms (0.3%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch11.0ms (0.2%)

bsearch3.0ms (0%)

bsearch8.0ms (0.1%)

bsearch4.0ms (0.1%)

simplify56.0ms (1%)

derivations1.4s (24%)

preprocess151.0ms (2.6%)

end0.0ms (0%)

Profiling