Metrics for expq2 (section 3.11)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

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)

sample801.0ms (10.7%)

Memory

-120.0MiB live, 711.6MiB allocated

Samples

604.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 461.0ms

ival-exp: 314.0ms (68.1% of total)

ival-div: 67.0ms (14.5% of total)

ival-expm1: 48.0ms (10.4% of total)

ival->: 22.0ms (4.8% of total)

exact: 7.0ms (1.5% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain66.0ms (0.9%)

Memory

5.9MiB live, 82.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
172	-	1	(0.013316312877785645)	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	0	-	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	171	1

Confusion

	Predicted +	Predicted -
+	171	0
-	0	85

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	171	0	0
-	0	1	84

Precision?

0.9941860465116279

Recall?

1.0

Freqs

test

number	freq
0	85
1	171

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 4.0ms (34.3% of total)

ival-exp: 4.0ms (34.3% of total)

ival-expm1: 3.0ms (25.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess27.0ms (0.4%)

Memory

-13.0MiB live, 24.9MiB allocated

Algorithm

1×	egg-herbie

Rules

116×	`div-sub`
78×	`times-frac`
76×	`sub-neg`
64×	`distribute-rgt-in`
64×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	22	19
2	42	18
3	78	18
4	132	12
5	242	12
6	343	12
7	448	12
8	565	12
9	606	12
10	634	12
11	684	12
0	5	7
0	8	7
1	13	7
2	14	7
0	14	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.8%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify3.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

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

Rules

4×	`lower-+.f64`
4×	`lower-+.f32`
2×	`lower-expm1.f64`
2×	`lift-exp.f64`
2×	`lift-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	13	15
2	14	15
0	14	11

Stop Event

1×	iter limit
1×	saturated
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 (0.2%)

Memory

20.6MiB live, 20.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.015625	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
accuracy	39.21032335293082	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

11.0ms

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 (35.7% of total)

ival-exp: 2.0ms (35.7% of total)

ival-expm1: 1.0ms (17.8% of total)

ival-true: 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

Counts

3 → 36

Calls

Call 1

Inputs
#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())

Inputs

#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())

#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())

#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify254.0ms (3.4%)

Memory

-27.3MiB live, 243.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 384×	`lower-fma.f64`
10 384×	`lower-fma.f32`
4 444×	`lower-*.f64`
4 444×	`lower-*.f32`
1 914×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	202
1	122	202
2	258	202
3	571	202
4	827	202
5	976	202
6	1003	202
7	1097	196
8	1514	196
9	1932	196
10	3331	196
11	4894	196
12	5180	196
13	5566	196
14	6116	196
15	6842	196
0	10190	150

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

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

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

rewrite233.0ms (3.1%)

Memory

-5.6MiB live, 247.9MiB allocated

Rules

5 384×	`lower-/.f32`
5 382×	`lower-/.f64`
3 398×	`lower-fma.f64`
3 398×	`lower-fma.f32`
3 144×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	33	13
2	188	13
3	1808	13
0	8774	9

Stop Event

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

Counts

3 → 351

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

eval50.0ms (0.7%)

Memory: 2.9MiB live, 76.9MiB allocated
Compiler: Compiled 9 762 to 1 201 computations (87.7% saved)

prune78.0ms (1%)

Memory

-4.8MiB live, 78.4MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	407	6	413
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	408	6	414

Accuracy

100.0%

Counts

414 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶	67.8%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
▶	67.9%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
▶	67.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	67.6%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))

Compiler

Compiled 98 to 68 computations (30.6% saved)

simplify13.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

196×	`lower-+.f32`
194×	`lower-+.f64`
182×	`lower-fma.f32`
176×	`lower-fma.f64`
96×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	144
0	35	144
1	62	144
2	97	144
3	134	144
4	155	144
5	161	144
6	194	144
7	249	144
8	279	144
9	285	144
0	285	136

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize76.0ms (1%)

Memory

-6.9MiB live, 105.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
accuracy	0.0390625	(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
accuracy	0.21484375	(*.f64 x #s(literal -1/720 binary64))
accuracy	20.62722580772745	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
accuracy	0.08984375	(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
accuracy	20.551904913726332	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
accuracy	20.73491985875639	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	20.715406845855792	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy	0	(neg.f64 x)
accuracy	0	(expm1.f64 (neg.f64 x))
accuracy	0.0078125	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))

Samples

44.0ms

256×

valid

Compiler

Compiled 121 to 23 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 6.0ms (19.5% of total)

const: 6.0ms (19.5% of total)

ival-div: 5.0ms (16.2% of total)

ival-expm1: 5.0ms (16.2% of total)

ival-add: 4.0ms (13% of total)

ival-exp: 2.0ms (6.5% of total)

ival-neg: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (patch (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal -1/720 binary64)) (patch (.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 x) 1)) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/12 (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* -1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* -1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* -1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/720 binary64)) (patch (.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/720 binary64)) (patch (.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/720 binary64)) (patch (.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/720 binary64)) (patch (.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/720 binary64)) (patch (.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/720 binary64)) (patch (.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/720 binary64)) (patch (.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/720 binary64)) (patch (.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/720 binary64)) (patch (.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/720 binary64)) (patch (.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/720 binary64)) (patch (.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/720 binary64)) (patch (.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* x 1/12) (+ (/ 1 x) 1/2))
1.0ms	x	@	inf	(/ -1 (- (exp (neg x)) 1))
0.0ms	x	@	0	(/ -1 (- (exp (neg x)) 1))
0.0ms	x	@	-inf	(/ -1 (- (exp (neg x)) 1))
0.0ms	x	@	-inf	(+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2))

simplify181.0ms (2.4%)

Memory

0.9MiB live, 151.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 646×	`lower-fma.f64`
8 646×	`lower-fma.f32`
2 730×	`lower-*.f64`
2 730×	`lower-*.f32`
1 608×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	1037
1	252	1036
2	689	1016
3	2073	1003
4	6078	957
0	8271	797

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

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

rewrite305.0ms (4.1%)

Memory

20.5MiB live, 417.6MiB allocated

Rules

7 200×	`lower-fma.f32`
7 194×	`lower-fma.f64`
4 154×	`lower-/.f32`
4 150×	`lower-/.f64`
3 736×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	109
0	35	109
1	154	109
2	1169	109
0	8247	101

Stop Event

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

Counts

13 → 421

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (neg.f64 (expm1.f64 (neg.f64 x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)))
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(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal -1/8640 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (.f64 (*.f64 x x) #s(literal -1/8640 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)))) (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal -1/8640 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (fma.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))) (.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (.f64 (.f64 x x) #s(literal -1/8640 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (.f64 (*.f64 x x) #s(literal -1/8640 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))))
(.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x #s(literal -1/720 binary64))))))
(/.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal -1/720 binary64))
(*.f64 #s(literal -1/720 binary64) x)

eval96.0ms (1.3%)

Memory: -16.8MiB live, 135.3MiB allocated
Compiler: Compiled 20 046 to 1 394 computations (93% saved)

prune124.0ms (1.7%)

Memory

-6.7MiB live, 161.0MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	739	8	747
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	740	13	753

Accuracy

100.0%

Counts

753 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶	91.7%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
▶	88.5%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
	83.3%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
✓	67.8%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
✓	67.9%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
▶	2.8%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
▶	20.5%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
✓	67.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	67.6%	#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)))
	32.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))))
	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))

Compiler

Compiled 307 to 170 computations (44.6% saved)

simplify338.0ms (4.5%)

Memory

30.1MiB live, 333.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x)))
cost-diff	0	(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
cost-diff	832	(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))
cost-diff	0	(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
cost-diff	0	(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
cost-diff	0	#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
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 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
cost-diff	0	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))

Rules

25 634×	`lower-fma.f32`
25 616×	`lower-fma.f64`
4 704×	`lower-*.f32`
4 688×	`lower-*.f64`
4 162×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	477
0	89	465
1	177	459
2	417	447
3	1109	447
4	3132	447
5	4649	439
0	8288	415

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)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#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)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
x
#s(literal 1/12 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)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
#s(literal 1 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1/8 binary64)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))
#s(literal -1/720 binary64)
#s(literal -1/12 binary64)
(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
#s(literal 1/4 binary64)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1/2 binary64)
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x)
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64))
(.f64 (.f64 x x) #s(literal 1/518400 binary64))
#s(literal 1/518400 binary64)
#s(literal -1/144 binary64)
(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))

Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#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)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
x
#s(literal 1/12 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)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/518400 binary64))) #s(literal -1/144 binary64)) (fma.f64 x #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)))) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))
(/.f64 (fma.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/518400 binary64))) #s(literal -1/144 binary64)) (fma.f64 x #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)))) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x)))
(fma.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/518400 binary64))) #s(literal -1/144 binary64)) (fma.f64 x #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
#s(literal 1 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1/8 binary64)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64))
#s(literal -1/720 binary64)
#s(literal -1/12 binary64)
(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/518400 binary64))) #s(literal -1/144 binary64)) (fma.f64 x #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
#s(literal 1/4 binary64)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1/2 binary64)
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/518400 binary64))) #s(literal -1/144 binary64)))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64))
(fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal -1/144 binary64))
(.f64 (.f64 x x) #s(literal 1/518400 binary64))
(.f64 x (.f64 x #s(literal 1/518400 binary64)))
#s(literal 1/518400 binary64)
#s(literal -1/144 binary64)
(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))

localize175.0ms (2.3%)

Memory

2.9MiB live, 231.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.6705155780096909	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
accuracy	20.62722580772745	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
accuracy	22.91694536316822	(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))
accuracy	39.944013655576704	(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))
accuracy	0.05078125	(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
accuracy	0.05078125	(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
accuracy	0.09375	(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
accuracy	7.348388407637699	#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
accuracy	0.08984375	(fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
accuracy	20.551904913726332	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
accuracy	42.001204878899095	#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
accuracy	20.73491985875639	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
accuracy	42.001204878899095	#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
accuracy	0.046875	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.05859375	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
accuracy	0.11328125	(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
accuracy	5.314774505806028	#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))

Samples

115.0ms

256×

valid

Compiler

Compiled 379 to 56 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 25.0ms (27.6% of total)

const: 22.0ms (24.3% of total)

ival-div: 20.0ms (22.1% of total)

ival-add: 16.0ms (17.7% of total)

ival-expm1: 3.0ms (3.3% of total)

ival-exp: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series56.0ms (0.7%)

Memory

-6.5MiB live, 49.8MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (patch (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) (patch #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) (patch (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x)) (patch (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))) (patch (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (patch (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 x) 1)) (taylor 0 x) (#s(alt #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (taylor 0 x) (#s(alt #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) (taylor 0 x) (#s(alt #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 x) 1)) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* x (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/24 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/6 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/6 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/6 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 (/ 1 x)) 1/6)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 (/ 1 x)) 1/6)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 (/ 1 x)) 1/6)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())

Calls

60 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (+ (* x (+ (* x -1/6) 1/2)) -1))
0.0ms	x	@	-inf	(* x (+ (* x (+ (* x -1/6) 1/2)) -1))
0.0ms	x	@	0	(/ 1 (* x (* x x)))
0.0ms	x	@	inf	(* (+ 1/4 (/ (+ (/ 1 x) -1/2) x)) (* (+ (* (* x x) (* (* x x) 1/518400)) -1/144) x))
0.0ms	x	@	-inf	(* (+ 1/4 (/ (+ (/ 1 x) -1/2) x)) (* (+ (* (* x x) (* (* x x) 1/518400)) -1/144) x))

simplify224.0ms (3%)

Memory

2.6MiB live, 270.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 000×	`lower-fma.f64`
11 000×	`lower-fma.f32`
5 750×	`lower-*.f64`
5 750×	`lower-*.f32`
2 520×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	1989
1	717	1937
2	2147	1899
3	6641	1883
0	8085	1636

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(/ 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)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 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)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ 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 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(/ -1/144 x)
(/ (- (* 1/288 x) 1/144) x)
(/ (- (* x (+ 1/288 (* -1/576 x))) 1/144) x)
(/ (- (* x (+ 1/288 (* x (- (* 1/518400 (pow x 2)) 1/576)))) 1/144) x)
(* 1/2073600 (pow x 5))
(* (pow x 5) (- 1/2073600 (* 1/1036800 (/ 1 x))))
(* (pow x 5) (- (+ 1/2073600 (/ 1/518400 (pow x 2))) (* 1/1036800 (/ 1 x))))
(* (pow x 5) (- (+ 1/2073600 (/ 1/518400 (pow x 2))) (+ (* 1/1036800 (/ 1 x)) (* 1/576 (/ 1 (pow x 4))))))
(* 1/2073600 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/1036800 (/ 1 x)) 1/2073600)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/518400 (/ 1 x)) 1/1036800) x)) 1/2073600)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/576 (/ 1 (pow x 2))) 1/518400) x)) 1/1036800) x)) 1/2073600)))
(/ 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)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ 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)
(* -1/720 (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))
(* -1/720 (pow x 3))
(* -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))))))
(/ -1/12 (pow x 3))
(/ (- (* -1/120 (pow x 2)) 1/12) (pow x 3))
(/ (- (* (pow x 2) (- (* -1/144 x) 1/120)) 1/12) (pow x 3))
(/ (- (* (pow x 2) (- (* x (- (* -1/576 x) 1/144)) 1/120)) 1/12) (pow x 3))
(* 1/2073600 (pow x 5))
(* (pow x 5) (- 1/2073600 (* 1/1036800 (/ 1 x))))
(* (pow x 5) (- (+ 1/2073600 (/ 1/518400 (pow x 2))) (* 1/1036800 (/ 1 x))))
(* (pow x 5) (- (+ 1/2073600 (/ 1/518400 (pow x 2))) (+ (* 1/1036800 (/ 1 x)) (* 1/5760 (/ 1 (pow x 3))))))
(* 1/2073600 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/1036800 (/ 1 x)) 1/2073600)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/518400 (/ 1 x)) 1/1036800) x)) 1/2073600)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/5760 (/ 1 x)) 1/518400) x)) 1/1036800) x)) 1/2073600)))
-1/6
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(* -1/6 x)
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* -1/6 x)
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))

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

rewrite422.0ms (5.6%)

Memory

12.8MiB live, 408.9MiB allocated

Rules

4 984×	`lower-*.f32`
4 968×	`lower-*.f64`
3 714×	`lower-fma.f32`
3 696×	`lower-fma.f64`
3 412×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	358
0	89	350
1	401	330
2	3256	330
0	8487	312

Stop Event

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

Counts

20 → 460

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))

Outputs
(exp.f64 (.f64 (log.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64))
(pow.f64 (.f64 #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64))
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (neg.f64 x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
(+.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (neg.f64 x))
(-.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) x)
(-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 0 binary64)) x)
(fma.f64 #s(literal -1 binary64) x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
(fma.f64 x #s(literal -1 binary64) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x))
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))
(fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) x (neg.f64 x))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))) (neg.f64 (.f64 x (.f64 x x)))) (fma.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (neg.f64 x)))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)))))
(/.f64 (.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)))))
(/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(+.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x x))) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
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(+.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal -1/6 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (.f64 x (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))
(.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/12 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/12 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/12 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (*.f64 x x)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 3 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))

eval113.0ms (1.5%)

Memory: 23.7MiB live, 208.9MiB allocated
Compiler: Compiled 42 013 to 2 040 computations (95.1% saved)

prune116.0ms (1.5%)

Memory

-24.4MiB live, 218.7MiB allocated

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	694	19	713
Fresh	1	2	3
Picked	3	2	5
Done	0	5	5
Total	698	28	726

Accuracy

100.0%

Counts

726 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶	91.7%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
	34.3%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (neg.f64 x)))))
	74.3%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	76.1%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	91.7%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
▶	75.7%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
	91.7%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
	91.7%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
	75.7%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (/.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
	83.3%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
▶	87.6%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
	27.1%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x #s(approx (+ ( x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
	29.0%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x #s(approx (+ ( x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))))
	26.1%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x #s(approx (+ ( x (+ (* x -1/6) 1/2)) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))))))
	27.1%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))))
	24.5%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
	26.1%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))))
✓	67.8%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
✓	67.9%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
✓	2.8%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
	20.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) #s(approx ( (+ 1/4 (/ (+ (/ 1 x) -1/2) x)) (* (+ (* (* x x) (* (* x x) 1/518400)) -1/144) x)) (fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/576 binary64) #s(literal 1/288 binary64)) (/.f64 #s(literal -1/144 binary64) x)))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
	45.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (/ 1 (* x (* x x))) 1/8) (+ (* -1/720 (* x x)) -1/12)) (* (+ 1/4 (/ (+ (/ 1 x) -1/2) x)) (* (+ (* (* x x) (* (* x x) 1/518400)) -1/144) x))) (/.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
✓	67.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	67.6%	#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)))
▶	32.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))))
▶	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))

Compiler

Compiled 968 to 530 computations (45.2% saved)

simplify189.0ms (2.5%)

Memory

29.6MiB live, 233.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
cost-diff	128	(-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64)))
cost-diff	320	(fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))
cost-diff	0	#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)))))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))))
cost-diff	192	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
cost-diff	640	(.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))
cost-diff	0	(fma.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))
cost-diff	0	(.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
cost-diff	0	(*.f64 x #s(literal 1/12 binary64))
cost-diff	0	#s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
cost-diff	128	(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))

Rules

9 806×	`lower-fma.f32`
9 788×	`lower-fma.f64`
3 262×	`lower-*.f32`
3 246×	`lower-*.f64`
1 912×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	530
0	101	510
1	201	510
2	378	503
3	706	503
4	1391	499
5	2399	499
6	4979	499
7	7355	499
0	8008	453

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)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
x
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
(neg.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
x
#s(literal 1/12 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))
x
(fma.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))
#s(approx (+ (* x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)))))
(.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))
x
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 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)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal -1/720 binary64)
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal 1/13824 binary64)
#s(literal -1/216 binary64)
(fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))
#s(literal 1/576 binary64)
(-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64)))
#s(literal 1/36 binary64)
(*.f64 x #s(literal -1/144 binary64))
#s(literal -1/144 binary64)
#s(literal 1/2 binary64)

Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
x
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
(neg.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
x
#s(literal 1/12 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))
x
(fma.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))
#s(approx (+ (* x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)))))
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
x
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
(+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x)) (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
#s(literal -1/720 binary64)
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64)) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64)) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64)) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64)) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64)) #s(literal 1/36 binary64))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64)) #s(literal 1/36 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal 1/13824 binary64)
#s(literal -1/216 binary64)
(fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64)) #s(literal 1/36 binary64))
#s(literal 1/576 binary64)
(-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64)))
(fma.f64 x #s(literal 1/144 binary64) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(*.f64 x #s(literal -1/144 binary64))
#s(literal -1/144 binary64)
#s(literal 1/2 binary64)

localize198.0ms (2.6%)

Memory

-17.3MiB live, 216.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.33984375	(*.f64 x #s(literal -1/144 binary64))
accuracy	0.47880008580909655	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))
accuracy	5.314774505806028	#s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
accuracy	12.920502862022882	(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64)))))
accuracy	0.0546875	(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy	0.078125	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
accuracy	20.62722580772745	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))))
accuracy	22.870442703541467	(.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))
accuracy	0.05078125	(.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))
accuracy	0.328125	(*.f64 x #s(literal -1/6 binary64))
accuracy	7.348388407637699	#s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
accuracy	41.60360451146881	#s(approx (+ (* x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64)))
accuracy	0.32421875	(*.f64 x #s(literal 1/12 binary64))
accuracy	20.551904913726332	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
accuracy	41.72373466294528	#s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))
accuracy	0.01953125	(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))
accuracy	0.046875	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.11328125	(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
accuracy	5.314774505806028	#s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))

Samples

117.0ms

256×

valid

Compiler

Compiled 364 to 60 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 30.0ms (32.6% of total)

const: 27.0ms (29.3% of total)

ival-add: 19.0ms (20.6% of total)

ival-div: 9.0ms (9.8% of total)

ival-expm1: 3.0ms (3.3% of total)

ival-exp: 2.0ms (2.2% of total)

ival-sub: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x))) (patch #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (.f64 x #s(literal 1/12 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ ( x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (.f64 x #s(literal 1/12 binary64))) (patch #s(approx (+ ( x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))) (patch (.f64 x (fma.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(approx (+ (* x -1/6) 1/2) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)) (patch (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)))) (patch (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))) (patch #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64)))) (patch (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))) (patch (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x -1/6) 1/2) (.f64 x #s(literal -1/6 binary64))) (patch #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal -1/6 binary64)) (patch (.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal -1/144 binary64)) (patch (.f64 x #s(literal -1/144 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 x) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 x) 1)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)) (patch (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (- (* 1/24 x) 1/6) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/24 x) 1/6) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))) #<representation binary64>) () ())) ())
#s(alt -1/216 (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/13824 (pow x 3)) 1/216) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/13824 (pow x 3)) 1/216) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/13824 (pow x 3)) 1/216) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/13824 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/13824 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/216 (/ 1 (pow x 3))) 1/13824))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/216 (/ 1 (pow x 3))) 1/13824))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/216 (/ 1 (pow x 3))) 1/13824))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (patch (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/144 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/144 binary64)) (patch (.f64 x #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/144 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/144 binary64)) (patch (.f64 x #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/144 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/144 binary64)) (patch (.f64 x #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/144 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/144 binary64)) (patch (.f64 x #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/144 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/144 binary64)) (patch (.f64 x #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/144 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/144 binary64)) (patch (.f64 x #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/144 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/144 binary64)) (patch (.f64 x #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/144 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/144 binary64)) (patch (.f64 x #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/144 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/144 binary64)) (patch (.f64 x #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/144 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/144 binary64)) (patch (.f64 x #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/144 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/144 binary64)) (patch (.f64 x #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/144 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/144 binary64)) (patch (.f64 x #s(literal -1/144 binary64)) #<representation binary64>) () ())) ())

Calls

78 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x -1/6)
0.0ms	x	@	-inf	(/ (+ (* (* x (* x x)) 1/13824) -1/216) (+ (* (* x x) 1/576) (- 1/36 (* x -1/144))))
0.0ms	x	@	0	(/ (+ (* (* x (* x x)) 1/13824) -1/216) (+ (* (* x x) 1/576) (- 1/36 (* x -1/144))))
0.0ms	x	@	inf	(/ (+ (* (* x (* x x)) 1/13824) -1/216) (+ (* (* x x) 1/576) (- 1/36 (* x -1/144))))
0.0ms	x	@	-inf	(/ (+ (/ 1 x) 1/2) x)

simplify444.0ms (5.9%)

Memory

1.4MiB live, 197.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 126×	`lower-fma.f64`
15 126×	`lower-fma.f32`
3 990×	`lower-*.f64`
3 990×	`lower-*.f32`
2 662×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	2145
1	518	2141
2	1500	2109
3	4465	2053
0	8364	1715

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) 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 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) 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)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 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 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(/ 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)
(* -1/720 (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))
(* -1/720 (pow x 3))
(* -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))))))
(/ 1 (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ 1/2 x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) 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)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ 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)
(* -1/720 (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))
(* -1/720 (pow x 3))
(* -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))))))
1/36
(+ 1/36 (* 1/144 x))
(+ 1/36 (* x (+ 1/144 (* 1/576 x))))
(+ 1/36 (* x (+ 1/144 (* 1/576 x))))
(* 1/576 (pow x 2))
(* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x)))))
(* (pow x 2) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x)))))
(* 1/576 (pow x 2))
(* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x)))))
(* (pow x 2) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x)))))
1/36
(+ 1/36 (* 1/144 x))
(+ 1/36 (* 1/144 x))
(+ 1/36 (* 1/144 x))
(* 1/144 x)
(* x (+ 1/144 (* 1/36 (/ 1 x))))
(* x (+ 1/144 (* 1/36 (/ 1 x))))
(* x (+ 1/144 (* 1/36 (/ 1 x))))
(* 1/144 x)
(* x (+ 1/144 (* 1/36 (/ 1 x))))
(* x (+ 1/144 (* 1/36 (/ 1 x))))
(* x (+ 1/144 (* 1/36 (/ 1 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 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
-1/6
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(* -1/6 x)
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* -1/6 x)
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
-1/6
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
-1/216
(- (* 1/13824 (pow x 3)) 1/216)
(- (* 1/13824 (pow x 3)) 1/216)
(- (* 1/13824 (pow x 3)) 1/216)
(* 1/13824 (pow x 3))
(* (pow x 3) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* 1/13824 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/216 (/ 1 (pow x 3))) 1/13824)))
(* -1 (* (pow x 3) (- (* 1/216 (/ 1 (pow x 3))) 1/13824)))
(* -1 (* (pow x 3) (- (* 1/216 (/ 1 (pow x 3))) 1/13824)))
(* -1/144 x)
(* -1/144 x)
(* -1/144 x)
(* -1/144 x)
(* -1/144 x)
(* -1/144 x)
(* -1/144 x)
(* -1/144 x)
(* -1/144 x)
(* -1/144 x)
(* -1/144 x)
(* -1/144 x)

Outputs
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(.f64 x (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
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(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal -1/216 binary64))
(- (* 1/13824 (pow x 3)) 1/216)
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal -1/216 binary64))
(- (* 1/13824 (pow x 3)) 1/216)
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal -1/216 binary64))
(* 1/13824 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))
(* (pow x 3) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal -1/216 binary64))
(* (pow x 3) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal -1/216 binary64))
(* (pow x 3) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal -1/216 binary64))
(* 1/13824 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))
(* -1 (* (pow x 3) (- (* 1/216 (/ 1 (pow x 3))) 1/13824)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal -1/216 binary64))
(* -1 (* (pow x 3) (- (* 1/216 (/ 1 (pow x 3))) 1/13824)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal -1/216 binary64))
(* -1 (* (pow x 3) (- (* 1/216 (/ 1 (pow x 3))) 1/13824)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal -1/216 binary64))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))

rewrite415.0ms (5.5%)

Memory

8.4MiB live, 357.6MiB allocated

Rules

6 986×	`lower-*.f32`
6 970×	`lower-*.f64`
5 432×	`lower-fma.f32`
5 416×	`lower-fma.f64`
3 758×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	395
0	101	348
1	458	343
2	3667	343
0	10291	313

Stop Event

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

Counts

26 → 481

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
#s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
#s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(fma.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))
(.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))
(-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(approx (+ (* x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))
(*.f64 x #s(literal -1/144 binary64))

Outputs
(+.f64 (neg.f64 x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
(+.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (neg.f64 x))
(-.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) x)
(-.f64 #s(literal 0 binary64) (-.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 0 binary64)) x)
(fma.f64 x #s(literal -1 binary64) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x))
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
(fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) x (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))))) (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))))) (fma.f64 x x (-.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))))))) (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))))) (.f64 x (.f64 x x))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) (fma.f64 x x (.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))))) (-.f64 (neg.f64 x) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))))
(/.f64 (.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
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(fma.f64 (pow.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/216 binary64))
(fma.f64 (pow.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/24 binary64) #s(literal 3/2 binary64)) #s(literal -1/216 binary64))
(fma.f64 (pow.f64 #s(literal 1/576 binary64) #s(literal 3/2 binary64)) (.f64 x (.f64 x x)) #s(literal -1/216 binary64))
(fma.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/216 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal 1/46656 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/2641807540224 binary64)) #s(literal -1/10077696 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/2641807540224 binary64)) #s(literal -1/10077696 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal 1/46656 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/2641807540224 binary64)) #s(literal -1/10077696 binary64)) (+.f64 #s(literal 1/46656 binary64) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2985984 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/2641807540224 binary64)) #s(literal -1/10077696 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal 1/46656 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64))) (neg.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))))
(/.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64))) (-.f64 #s(literal -1/216 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal 1/46656 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/2641807540224 binary64)) #s(literal -1/10077696 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/2641807540224 binary64)) #s(literal -1/10077696 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal 1/46656 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2985984 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))))
(*.f64 x #s(literal -1/144 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/24 binary64)))
(*.f64 #s(literal -1/144 binary64) x)
(.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))

eval110.0ms (1.5%)

Memory: -4.6MiB live, 271.7MiB allocated
Compiler: Compiled 22 865 to 2 135 computations (90.7% saved)

prune359.0ms (4.8%)

Memory

16.1MiB live, 255.6MiB allocated

Pruning

24 alts after pruning (15 fresh and 9 done)

	Pruned	Kept	Total
New	786	7	793
Fresh	8	8	16
Picked	3	2	5
Done	0	7	7
Total	797	24	821

Accuracy

100.0%

Counts

821 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
	91.7%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 x x) (neg.f64 x))))
	90.5%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (*.f64 x x) (neg.f64 x))))
	74.3%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	36.9%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x))))
	91.7%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
	93.7%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #s(approx (+ ( (* x x) 1/576) (- 1/36 (* x -1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
	83.3%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
✓	87.6%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
	27.1%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x #s(approx (+ ( x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
	29.0%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x #s(approx (+ ( x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))))
	26.1%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x #s(approx (+ ( x (+ (* x -1/6) 1/2)) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))))))
	27.1%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))))
	24.5%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
	26.1%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))))
✓	67.8%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
✓	67.9%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
✓	2.8%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))))
✓	67.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	67.6%	#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)))
	32.0%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))))
	32.0%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 #s(approx (/ (+ (/ 1 x) 1/2) x) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))

Compiler

Compiled 1 110 to 381 computations (65.7% saved)

regimes34.0ms (0.5%)

Memory

-18.2MiB live, 63.6MiB allocated

Counts

41 → 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 (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #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 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x #s(approx (+ ( x (+ (* x -1/6) 1/2)) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x #s(approx (+ ( x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x #s(approx (+ ( x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (*.f64 x x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 #s(approx (/ (+ (/ 1 x) 1/2) x) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #s(approx (+ ( (* x x) 1/576) (- 1/36 (* x -1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (/.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (/ 1 (* x (* x x))) 1/8) (+ (* -1/720 (* x x)) -1/12)) (* (+ 1/4 (/ (+ (/ 1 x) -1/2) x)) (* (+ (* (* x x) (* (* x x) 1/518400)) -1/144) x))) (/.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) #s(approx ( (+ 1/4 (/ (+ (/ 1 x) -1/2) x)) (* (+ (* (* x x) (* (* x x) 1/518400)) -1/144) x)) (fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/576 binary64) #s(literal 1/288 binary64)) (/.f64 #s(literal -1/144 binary64) x)))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) x))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

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

Calls

3 calls:

13.0ms	x
10.0ms	(exp.f64 x)
9.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes29.0ms (0.4%)

Memory

20.1MiB live, 58.4MiB allocated

Counts

36 → 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 (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #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 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x #s(approx (+ ( x (+ (* x -1/6) 1/2)) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x #s(approx (+ ( x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x #s(approx (+ ( x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (*.f64 x x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 #s(approx (/ (+ (/ 1 x) 1/2) x) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 x x) (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #s(approx (+ ( (* x x) 1/576) (- 1/36 (* x -1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (/.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (/ 1 (* x (* x x))) 1/8) (+ (* -1/720 (* x x)) -1/12)) (* (+ 1/4 (/ (+ (/ 1 x) -1/2) x)) (* (+ (* (* x x) (* (* x x) 1/518400)) -1/144) x))) (/.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (neg.f64 x)))))

Outputs

(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #s(approx (+ (* (* x x) 1/576) (- 1/36 (* x -1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))

Calls

3 calls:

10.0ms	x
9.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
8.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
93.7%	1	`x`
93.7%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
93.7%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes21.0ms (0.3%)

Memory

1.8MiB live, 40.6MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.7%	1	`x`
91.7%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
91.7%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes18.0ms (0.2%)

Memory

-1.4MiB live, 37.5MiB allocated

Counts

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

Outputs

(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 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
91.7%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
91.7%	1	`(exp.f64 x)`
91.7%	1	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes17.0ms (0.2%)

Memory

-7.4MiB live, 34.2MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.8%	3	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
91.8%	2	`(exp.f64 x)`
91.8%	2	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes14.0ms (0.2%)

Memory

-11.3MiB live, 27.7MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
88.5%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
88.5%	1	`x`
88.5%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes14.0ms (0.2%)

Memory

-13.1MiB live, 25.9MiB allocated

Counts

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

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

Calls

3 calls:

6.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	x
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
87.6%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
87.6%	1	`x`
87.6%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes11.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
88.8%	3	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
88.8%	2	`(exp.f64 x)`
88.8%	2	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes8.0ms (0.1%)

Memory

-21.7MiB live, 17.3MiB allocated

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

Outputs

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

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

Calls

2 calls:

4.0ms	x
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
88.8%	2	`x`
88.8%	2	`(exp.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes8.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

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

Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 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
83.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
83.3%	1	`(exp.f64 x)`
83.3%	1	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes10.0ms (0.1%)

Memory

-24.1MiB live, 17.1MiB allocated

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

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

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
67.9%	1	`x`
67.9%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
67.9%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes7.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.6%	1	`x`
67.6%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
67.6%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

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

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

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

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0.1%)

Memory

-30.0MiB live, 9.3MiB allocated

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:

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

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch15.0ms (0.2%)

Memory

31.3MiB live, 31.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-79297585482.85132	-0.00040018953555144365

Samples

7.0ms

160×

valid

Compiler

Compiled 321 to 208 computations (35.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 2.0ms (43% of total)

ival-div: 1.0ms (21.5% of total)

ival-expm1: 1.0ms (21.5% of total)

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

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

bsearch5.0ms (0.1%)

Memory

-30.7MiB live, 8.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-79297585482.85132	-0.00040018953555144365

Samples

1.0ms

32×

valid

Compiler

Compiled 261 to 178 computations (31.8% 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)

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

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

bsearch8.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-79297585482.85132	-0.00040018953555144365

Samples

4.0ms

80×

valid

Compiler

Compiled 251 to 168 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (41.8% of total)

ival-exp: 1.0ms (41.8% of total)

ival-expm1: 1.0ms (41.8% of total)

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

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

simplify11.0ms (0.1%)

Memory

-17.4MiB live, 21.6MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	353
1	132	353
2	134	353
3	135	353

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #s(approx (+ ( (* x x) 1/576) (- 1/36 (* x -1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -7/2 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -2308094809027379/562949953421312 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))

Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) #s(approx (+ ( (* x x) 1/576) (- 1/36 (* x -1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x -1/6) 1/2) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -7/2 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -7/2 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -2308094809027379/562949953421312 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -2308094809027379/562949953421312 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))

soundness1.6s (21.8%)

Memory

33.1MiB live, 1 122.2MiB allocated

Rules

15 126×	`lower-fma.f64`
15 126×	`lower-fma.f32`
11 000×	`lower-fma.f64`
11 000×	`lower-fma.f32`
10 384×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	33	13
2	188	13
3	1808	13
0	8774	9
0	187	2145
1	518	2141
2	1500	2109
3	4465	2053
0	8364	1715
0	44	202
1	122	202
2	258	202
3	571	202
4	827	202
5	976	202
6	1003	202
7	1097	196
8	1514	196
9	1932	196
10	3331	196
11	4894	196
12	5180	196
13	5566	196
14	6116	196
15	6842	196
0	10190	150
0	99	1037
1	252	1036
2	689	1016
3	2073	1003
4	6078	957
0	8271	797
0	258	1989
1	717	1937
2	2147	1899
3	6641	1883
0	8085	1636
0	54	358
0	89	350
1	401	330
2	3256	330
0	8487	312

Stop Event

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

Compiler

Compiled 517 to 285 computations (44.9% saved)

preprocess98.0ms (1.3%)

Memory: 5.3MiB live, 166.4MiB allocated
Compiler: Compiled 416 to 148 computations (64.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
1	22	19
2	42	18
3	78	18
4	132	12
5	242	12
6	343	12
7	448	12
8	565	12
9	606	12
10	634	12
11	684	12
0	5	7
0	8	7
1	13	7
2	14	7
0	14	5

Iter	Nodes	Cost
0	22	144
0	35	144
1	62	144
2	97	144
3	134	144
4	155	144
5	161	144
6	194	144
7	249	144
8	279	144
9	285	144
0	285	136

Iter	Nodes	Cost
0	7	19
1	22	19
2	42	18
3	78	18
4	132	12
5	242	12
6	343	12
7	448	12
8	565	12
9	606	12
10	634	12
11	684	12
0	5	7
0	8	7
1	13	7
2	14	7
0	14	5

Iter	Nodes	Cost
0	22	144
0	35	144
1	62	144
2	97	144
3	134	144
4	155	144
5	161	144
6	194	144
7	249	144
8	279	144
9	285	144
0	285	136

start0.0ms (0%)

analyze1.0ms (0%)

sample801.0ms (10.7%)

explain66.0ms (0.9%)

preprocess27.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize17.0ms (0.2%)

series2.0ms (0%)

simplify254.0ms (3.4%)

rewrite233.0ms (3.1%)

eval50.0ms (0.7%)

prune78.0ms (1%)

simplify13.0ms (0.2%)

localize76.0ms (1%)

series10.0ms (0.1%)

simplify181.0ms (2.4%)

rewrite305.0ms (4.1%)

eval96.0ms (1.3%)

prune124.0ms (1.7%)

simplify338.0ms (4.5%)

localize175.0ms (2.3%)

series56.0ms (0.7%)

simplify224.0ms (3%)

rewrite422.0ms (5.6%)

eval113.0ms (1.5%)

prune116.0ms (1.5%)

simplify189.0ms (2.5%)

localize198.0ms (2.6%)

series20.0ms (0.3%)

simplify444.0ms (5.9%)

rewrite415.0ms (5.5%)

eval110.0ms (1.5%)

prune359.0ms (4.8%)

regimes34.0ms (0.5%)

regimes29.0ms (0.4%)

regimes21.0ms (0.3%)

regimes18.0ms (0.2%)

regimes17.0ms (0.2%)

regimes14.0ms (0.2%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch15.0ms (0.2%)

bsearch5.0ms (0.1%)

bsearch8.0ms (0.1%)

simplify11.0ms (0.1%)

soundness1.6s (21.8%)

preprocess98.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
1	22	19
2	42	18
3	78	18
4	132	12
5	242	12
6	343	12
7	448	12
8	565	12
9	606	12
10	634	12
11	684	12
0	5	7
0	8	7
1	13	7
2	14	7
0	14	5

Iter	Nodes	Cost
0	22	144
0	35	144
1	62	144
2	97	144
3	134	144
4	155	144
5	161	144
6	194	144
7	249	144
8	279	144
9	285	144
0	285	136