Metrics for Kahan's exp quotient

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample616.0ms (7.1%)

Memory

-12.6MiB live, 406.0MiB allocated

Samples

391.0ms

8 256×

valid

Precisions

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

ival-expm1: 129.0ms (65.7% of total)

ival-div: 58.0ms (29.6% of total)

ival-true: 5.0ms (2.5% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain123.0ms (1.4%)

Memory

-10.9MiB live, 64.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	117	0

Confusion

	Predicted +	Predicted -
+	117	0
-	0	139

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	117	0	0
-	0	0	139

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	139
1	117

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 39 to 19 computations (51.3% saved)

Precisions

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

ival-div: 4.0ms (33.8% of total)

ival-exp: 4.0ms (33.8% of total)

ival-expm1: 3.0ms (25.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess48.0ms (0.5%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Rules

240×	`lower-fma.f64`
240×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
168×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
0	5	6
0	8	6
1	16	6
2	19	6
3	25	6
4	34	6
5	46	6
6	66	6
7	110	6
8	173	6
9	321	6
10	475	6
11	569	6
12	636	6
13	844	6
14	851	6
15	852	6
0	852	4

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.6%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify25.0ms (0.3%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
cost-diff	192	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Rules

240×	`lower-fma.f64`
240×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
128×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	173	14
9	321	14
10	475	14
11	569	14
12	636	14
13	844	14
14	851	14
15	852	14
0	852	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (0.5%)

Memory

-26.8MiB live, 11.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.01953125	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
accuracy	26.44456394138063	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

10.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

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

ival-div: 2.0ms (35.9% of total)

ival-exp: 2.0ms (35.9% of total)

ival-expm1: 2.0ms (35.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<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 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<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 1 (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<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) 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) x) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) 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) 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) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) 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

3 calls:

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

simplify312.0ms (3.6%)

Memory

24.0MiB live, 67.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 912×	`lower-fma.f64`
6 912×	`lower-fma.f32`
1 616×	`lower-*.f64`
1 616×	`lower-*.f32`
1 056×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	184
1	81	184
2	173	184
3	391	184
4	623	184
5	769	184
6	797	184
7	845	184
8	899	184
9	1593	184
10	4100	184
11	5151	184
12	5377	184
13	5511	184
14	5626	184
15	5632	184
16	5903	184
17	5903	184
18	6087	184
19	6158	184
20	6158	184
21	6366	184
22	6447	184
23	6447	184
0	6447	135

Stop Event

1×	iter limit
1×	saturated

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

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

rewrite228.0ms (2.6%)

Memory

-11.5MiB live, 98.1MiB allocated

Rules

5 428×	`lower-/.f32`
5 426×	`lower-/.f64`
3 690×	`lower-*.f64`
3 690×	`lower-*.f32`
2 262×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	35	12
2	220	12
3	2299	12
0	8893	8

Stop Event

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

Counts

3 → 496

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (expm1.f64 (.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (expm1.f64 (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
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(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
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(exp.f64 x)

eval120.0ms (1.4%)

Memory: 0.7MiB live, 90.5MiB allocated
Compiler: Compiled 11 352 to 1 471 computations (87% saved)

prune134.0ms (1.5%)

Memory

10.5MiB live, 131.1MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	522	9	531
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	523	9	532

Accuracy

100.0%

Counts

532 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.1%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (expm1.f64 x))) (*.f64 x x))
	3.4%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
▶	100.0%	(/.f64 (expm1.f64 x) x)
▶	65.5%	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	64.3%	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
▶	63.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	60.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	47.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	46.7%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 172 to 108 computations (37.2% saved)

simplify268.0ms (3.1%)

Memory

1.7MiB live, 110.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
cost-diff	0	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
cost-diff	0	(expm1.f64 x)
cost-diff	0	(/.f64 (expm1.f64 x) x)

Rules

5 888×	`lower-fma.f32`
5 878×	`lower-fma.f64`
1 552×	`lower-*.f32`
1 550×	`lower-*.f64`
864×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	152
0	35	152
1	54	152
2	85	152
3	192	152
4	430	152
5	807	152
6	935	152
7	983	152
8	1036	152
9	1686	152
10	3966	152
11	5067	152
12	5390	152
13	5542	152
14	5656	152
15	5886	152
16	5974	152
17	5999	152
18	5999	152
19	6183	152
20	6269	152
21	6269	152
22	6273	152
0	6273	152

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize109.0ms (1.3%)

Memory

3.0MiB live, 167.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0625	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.0625	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.203125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	22.093950358488716	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.0625	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.0625	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.203125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	23.208529049449446	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0.05859375	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.1953125	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	25.134097966397846	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	34.10115168110629	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
accuracy	0	(expm1.f64 x)
accuracy	0.01953125	(/.f64 (expm1.f64 x) x)

Samples

97.0ms

256×

valid

Compiler

Compiled 139 to 20 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-div: 29.0ms (41.5% of total)

ival-add: 23.0ms (32.9% of total)

ival-mult: 9.0ms (12.9% of total)

const: 6.0ms (8.6% of total)

ival-expm1: 2.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-21.7MiB live, 19.1MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())
#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify155.0ms (1.8%)

Memory

0.8MiB live, 166.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 022×	`lower-fma.f64`
10 022×	`lower-fma.f32`
3 028×	`lower-*.f64`
3 028×	`lower-*.f32`
1 442×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	1038
1	271	1038
2	752	1022
3	2246	1022
4	6029	1006
0	8305	778

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
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) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 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 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 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 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))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 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 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 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 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))

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

rewrite169.0ms (1.9%)

Memory

17.3MiB live, 329.3MiB allocated

Rules

6 652×	`lower-fma.f32`
6 642×	`lower-fma.f64`
4 840×	`lower-*.f32`
4 838×	`lower-*.f64`
4 104×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	115
0	35	115
1	136	115
2	951	115
0	8601	115

Stop Event

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

Counts

13 → 507

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) (/.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 x (expm1.f64 (+.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 x (expm1.f64 (.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (exp.f64 x) (*.f64 x x))))))
(.f64 (fma.f64 (exp.f64 x) x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) x x)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) x))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) x)))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (+.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) x)) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x)) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (exp.f64 x) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) x (neg.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (+.f64 x x)))) (.f64 (neg.f64 x) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))))) (*.f64 (neg.f64 x) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (+.f64 x x)))) (.f64 x (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))))) (*.f64 x (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))))
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eval106.0ms (1.2%)

Memory: 2.2MiB live, 271.0MiB allocated
Compiler: Compiled 21 543 to 1 890 computations (91.2% saved)

prune139.0ms (1.6%)

Memory

5.1MiB live, 372.9MiB allocated

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	838	29	867
Fresh	2	2	4
Picked	1	4	5
Done	0	0	0
Total	841	35	876

Accuracy

100.0%

Counts

876 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.1%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (expm1.f64 x))) (*.f64 x x))
	3.4%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	65.5%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)
	31.3%	(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x))) x)
	51.8%	(/.f64 #s(approx (- (exp x) 1) (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) x)
	53.8%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) x)) x)
	51.8%	(/.f64 #s(approx (- (exp x) 1) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))) x)
	21.4%	(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/24 binary64)))) x)
▶	65.5%	(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
	65.4%	(.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
✓	63.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	63.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	51.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	46.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal -1/216 binary64)) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	46.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal 1/20736 binary64)))) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	63.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 #s(literal 1/576 binary64) x) x)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	51.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	63.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	63.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	63.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	60.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	63.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))
	53.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
▶	47.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	63.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶	60.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
	50.7%	#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))
	63.7%	#s(approx (/ (- (exp x) 1) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
	19.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
	20.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
	20.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))
	16.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
	17.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	46.7%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 1 347 to 723 computations (46.3% saved)

simplify126.0ms (1.5%)

Memory

0.8MiB live, 158.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	128	(-.f64 (*.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64))
cost-diff	128	(+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
cost-diff	320	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))

Rules

6 698×	`lower-fma.f32`
6 680×	`lower-fma.f64`
3 182×	`lower-*.f32`
3 172×	`lower-*.f64`
1 528×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	415
0	78	403
1	128	386
2	229	379
3	586	379
4	1188	379
5	2064	379
6	2760	379
7	3010	379
8	3253	379
9	4467	379
0	8126	347

Stop Event

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

Calls

Call 1

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

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

localize191.0ms (2.2%)

Memory

-11.2MiB live, 228.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15625	(.f64 x (-.f64 (.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64)))
accuracy	0.23828125	(*.f64 #s(literal 1/576 binary64) x)
accuracy	10.58865984041954	(/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))
accuracy	16.829566977455322	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.09375	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	0.2536819803751405	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))
accuracy	16.829566977455322	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.015625	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy	0.05078125	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy	16.59785733084256	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
accuracy	0.02734375	(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	16.829566977455322	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	17.01134883257421	#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64))
accuracy	0.03515625	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.09375	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	16.910820109059372	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Samples

92.0ms	185×	0	valid
23.0ms	71×	0	exit

Compiler

Compiled 344 to 45 computations (86.9% saved)

Precisions

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

ival-div: 36.0ms (39.7% of total)

ival-mult: 22.0ms (24.2% of total)

const: 19.0ms (20.9% of total)

ival-add: 10.0ms (11% of total)

ival-expm1: 2.0ms (2.2% of total)

ival-sub: 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)

series22.0ms (0.3%)

Memory

5.5MiB live, 43.5MiB allocated

Counts

24 → 288

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 x (-.f64 (.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64))) (patch (.f64 x (-.f64 (.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 x (-.f64 (.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64))) (patch (.f64 x (-.f64 (.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

-inf

((/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) (/ (- (exp x) 1) x) (+ (* (* x x) 1/6) 1) (* x x) (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (/ (- (exp x) 1) x) (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) (+ 1/36 (* x (- (* 1/576 x) 1/144))) (- (* 1/576 x) 1/144) (/ (- (exp x) 1) x) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (* 1/576 x) (* x (- (* 1/576 x) 1/144)))

4.0ms

inf

((/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) (/ (- (exp x) 1) x) (+ (* (* x x) 1/6) 1) (* x x) (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (/ (- (exp x) 1) x) (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) (+ 1/36 (* x (- (* 1/576 x) 1/144))) (- (* 1/576 x) 1/144) (/ (- (exp x) 1) x) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (* 1/576 x) (* x (- (* 1/576 x) 1/144)))

2.0ms

((/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) (/ (- (exp x) 1) x) (+ (* (* x x) 1/6) 1) (* x x) (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (/ (- (exp x) 1) x) (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) (+ 1/36 (* x (- (* 1/576 x) 1/144))) (- (* 1/576 x) 1/144) (/ (- (exp x) 1) x) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (* 1/576 x) (* x (- (* 1/576 x) 1/144)))

simplify157.0ms (1.8%)

Memory

21.2MiB live, 172.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 272×	`lower-fma.f64`
12 272×	`lower-fma.f32`
3 932×	`lower-*.f64`
3 932×	`lower-*.f32`
2 896×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	1972
1	648	1961
2	1578	1918
3	4514	1898
0	8353	1581

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 286

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2)))
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)))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
2
(+ 2 (* -2/3 x))
(+ 2 (* x (- (* 1/18 x) 2/3)))
(+ 2 (* x (- (* x (+ 1/18 (* 1/27 x))) 2/3)))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
1/36
(+ 1/36 (* -1/144 x))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
-1/144
(- (* 1/576 x) 1/144)
(- (* 1/576 x) 1/144)
(- (* 1/576 x) 1/144)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
6
(+ 6 (* -3/2 x))
(+ 6 (* x (- (* 3/8 x) 3/2)))
(+ 6 (* x (- (* x (+ 3/8 (* -3/32 x))) 3/2)))
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* -1/144 x)
(* x (- (* 1/576 x) 1/144))
(* x (- (* 1/576 x) 1/144))
(* x (- (* 1/576 x) 1/144))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ x (- (exp x) 1))
(/ x (- (exp x) 1))
(/ x (- (exp x) 1))
(/ x (- (exp x) 1))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 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))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 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 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)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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)))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 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))))))
(/ 24 (pow x 2))
(/ (- 24 (* 96 (/ 1 x))) (pow x 2))
(/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 2))
(/ (- (+ 24 (+ (* 768 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 2))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/576 (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 x)
(* x (- 1/576 (* 1/144 (/ 1 x))))
(* x (- 1/576 (* 1/144 (/ 1 x))))
(* x (- 1/576 (* 1/144 (/ 1 x))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 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 (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)))))
(/ 24 x)
(/ (- 24 (* 96 (/ 1 x))) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (* 96 (/ 1 x))) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3))))) x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ x (- (exp x) 1))
(/ x (- (exp x) 1))
(/ x (- (exp x) 1))
(/ x (- (exp x) 1))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 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 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 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)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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)))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(/ 24 (pow x 2))
(/ (- 24 (* 96 (/ 1 x))) (pow x 2))
(/ (+ 24 (* -1 (/ (- 96 (* 96 (/ 1 x))) x))) (pow x 2))
(/ (+ 24 (* -1 (/ (+ 96 (* -1 (/ (+ 96 (* 768 (/ 1 x))) x))) x))) (pow x 2))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(* 1/576 x)
(* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))
(* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))
(* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 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 (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)))))
(/ 24 x)
(* -1 (/ (- (* 96 (/ 1 x)) 24) x))
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x))
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow x 2)))
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(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x 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 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(* 1/24 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(fma.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (neg.f64 x) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/24 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (.f64 (neg.f64 x) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/24 binary64)))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ (- 24 (* 96 (/ 1 x))) (pow x 2))
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (*.f64 x x))
(/ (+ 24 (* -1 (/ (- 96 (* 96 (/ 1 x))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 (-.f64 #s(literal 96 binary64) (/.f64 #s(literal 96 binary64) x)) x)) (*.f64 x x))
(/ (+ 24 (* -1 (/ (+ 96 (* -1 (/ (+ 96 (* 768 (/ 1 x))) x))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 (-.f64 #s(literal 96 binary64) (/.f64 (+.f64 (/.f64 #s(literal 768 binary64) x) #s(literal 96 binary64)) x)) x)) (*.f64 x x))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 #s(literal 1/576 binary64) x) x)
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x)
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(*.f64 x (fma.f64 #s(literal 1/576 binary64) x (-.f64 (/.f64 #s(literal 1/36 binary64) x) #s(literal 1/144 binary64))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(*.f64 x (fma.f64 #s(literal 1/576 binary64) x (-.f64 (/.f64 #s(literal 1/36 binary64) x) #s(literal 1/144 binary64))))
(* 1/576 x)
(*.f64 #s(literal 1/576 binary64) x)
(* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))
(fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64))
(* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))
(fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64))
(* -1 (* x (- (* 1/144 (/ 1 x)) 1/576)))
(fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(/ 24 x)
(/.f64 #s(literal 24 binary64) x)
(* -1 (/ (- (* 96 (/ 1 x)) 24) x))
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 384 binary64) x) #s(literal 96 binary64)) x) #s(literal -24 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -96 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1536 binary64) x) #s(literal 384 binary64)) x)) x) #s(literal -24 binary64)) x)
(* 1/576 x)
(*.f64 #s(literal 1/576 binary64) x)
(* 1/576 x)
(*.f64 #s(literal 1/576 binary64) x)
(* 1/576 x)
(*.f64 #s(literal 1/576 binary64) x)
(* 1/576 x)
(*.f64 #s(literal 1/576 binary64) x)
(* 1/576 (pow x 2))
(.f64 (.f64 #s(literal 1/576 binary64) x) x)
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x)
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x)
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x)

rewrite209.0ms (2.4%)

Memory

0.0MiB live, 317.3MiB allocated

Rules

4 896×	`lower-fma.f32`
4 878×	`lower-fma.f64`
4 218×	`lower-*.f32`
4 208×	`lower-*.f64`
4 160×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	304
0	78	286
1	329	280
2	2266	280
0	8687	254

Stop Event

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

Counts

24 → 649

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))))
(.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))))
(.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x))
(pow.f64 (exp.f64 (log.f64 (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 x #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x #s(literal 1/36 binary64))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/1296 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x) x) (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/1296 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x) x) (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x))) (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x #s(literal 1/36 binary64)) (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (fma.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x #s(literal 1/36 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/576 binary64) x)
(*.f64 x #s(literal 1/576 binary64))
(*.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x)
(*.f64 x (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/576 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/144 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/576 binary64) x) x) (.f64 (.f64 #s(literal 1/576 binary64) x) x) (-.f64 (.f64 (.f64 #s(literal -1/144 binary64) x) (.f64 #s(literal -1/144 binary64) x)) (.f64 (.f64 (.f64 #s(literal 1/576 binary64) x) x) (.f64 #s(literal -1/144 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 1/576 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal -1/144 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 #s(literal 1/576 binary64) x)) (.f64 x (.f64 #s(literal 1/576 binary64) x)) (-.f64 (.f64 (.f64 x #s(literal -1/144 binary64)) (.f64 x #s(literal -1/144 binary64))) (.f64 (.f64 x (.f64 #s(literal 1/576 binary64) x)) (.f64 x #s(literal -1/144 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/331776 binary64) (.f64 x x) #s(literal -1/20736 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal 1/144 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x) #s(literal -1/2985984 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/331776 binary64) (.f64 x x) (fma.f64 x #s(literal 1/82944 binary64) #s(literal 1/20736 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/331776 binary64) (.f64 x x) #s(literal -1/20736 binary64)))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal 1/144 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x) #s(literal -1/2985984 binary64)))) (neg.f64 (fma.f64 #s(literal 1/331776 binary64) (.f64 x x) (fma.f64 x #s(literal 1/82944 binary64) #s(literal 1/20736 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/331776 binary64) (.f64 x x) #s(literal -1/20736 binary64)) x) (fma.f64 #s(literal 1/576 binary64) x #s(literal 1/144 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x) #s(literal -1/2985984 binary64)) x) (fma.f64 #s(literal 1/331776 binary64) (.f64 x x) (fma.f64 x #s(literal 1/82944 binary64) #s(literal 1/20736 binary64))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/331776 binary64) (.f64 x x) #s(literal -1/20736 binary64))) (fma.f64 #s(literal 1/576 binary64) x #s(literal 1/144 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x) #s(literal -1/2985984 binary64))) (fma.f64 #s(literal 1/331776 binary64) (.f64 x x) (fma.f64 x #s(literal 1/82944 binary64) #s(literal 1/20736 binary64))))
(fma.f64 (.f64 #s(literal 1/576 binary64) x) x (.f64 #s(literal -1/144 binary64) x))
(fma.f64 x (.f64 #s(literal 1/576 binary64) x) (.f64 x #s(literal -1/144 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/576 binary64) x) x) (*.f64 #s(literal -1/144 binary64) x))
(+.f64 (.f64 x (.f64 #s(literal 1/576 binary64) x)) (*.f64 x #s(literal -1/144 binary64)))

eval173.0ms (2%)

Memory: -25.3MiB live, 336.2MiB allocated
Compiler: Compiled 29 896 to 3 161 computations (89.4% saved)

prune124.0ms (1.4%)

Memory

14.3MiB live, 291.6MiB allocated

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	1 061	14	1 075
Fresh	14	12	26
Picked	3	2	5
Done	0	4	4
Total	1 078	32	1 110

Accuracy

100.0%

Counts

1 110 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.1%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (expm1.f64 x))) (*.f64 x x))
	3.4%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	31.3%	(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x))) x)
	51.8%	(/.f64 #s(approx (- (exp x) 1) (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) x)
	21.4%	(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/24 binary64)))) x)
	47.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
	48.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
▶	50.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
✓	63.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	63.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	67.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	63.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	63.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	63.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	63.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	60.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	63.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))
	47.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) x #s(literal -2/3 binary64)) x #s(literal 2 binary64)))) x #s(literal 1 binary64)))
	62.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (*.f64 x x)))) x #s(literal 1 binary64)))
	62.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (/.f64 #s(literal 24 binary64) (*.f64 x x)))) x #s(literal 1 binary64)))
✓	47.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	60.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
	63.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
	50.7%	#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))
	63.7%	#s(approx (/ (- (exp x) 1) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
	19.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
	20.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
	20.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))
	16.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
▶	17.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	46.7%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 917 to 494 computations (46.1% saved)

simplify108.0ms (1.3%)

Memory

-15.4MiB live, 118.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) x)
cost-diff	0	(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	320	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x)))
cost-diff	0	(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64))))

Rules

7 340×	`lower-fma.f32`
7 320×	`lower-fma.f64`
2 754×	`lower-*.f32`
2 744×	`lower-*.f64`
1 312×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	484
0	91	484
1	145	454
2	237	449
3	675	449
4	1411	446
5	2474	446
6	3907	446
7	5310	446
8	6730	446
0	8130	405

Stop Event

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

Calls

Call 1

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

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

localize136.0ms (1.6%)

Memory

7.3MiB live, 247.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15625	(.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) x)
accuracy	0.23828125	(*.f64 #s(literal 1/576 binary64) x)
accuracy	1.6165220570914094	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
accuracy	16.829566977455322	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0.04296875	(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64))
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x)))
accuracy	16.829566977455322	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	29.026911063459035	#s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))
accuracy	0	(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
accuracy	14.21483758905764	#s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.109375	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	16.59785733084256	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
accuracy	28.64784742456703	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64))))
accuracy	10.58865984041954	(/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))
accuracy	16.829566977455322	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	17.005234688182334	#s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))

Samples

79.0ms	185×	0	valid
25.0ms	71×	0	exit

Compiler

Compiled 375 to 52 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 24.0ms (28.8% of total)

const: 23.0ms (27.6% of total)

ival-div: 20.0ms (24% of total)

ival-add: 13.0ms (15.6% of total)

ival-expm1: 2.0ms (2.4% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series24.0ms (0.3%)

Memory

15.3MiB live, 53.8MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#s(alt 1/6 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1/6 (* 1/24 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/24 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 x)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/576 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (patch #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x)) (patch #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x)) (patch #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/576 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/576 binary64) x) (patch (.f64 #s(literal 1/576 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/576 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/576 binary64) x) (patch (.f64 #s(literal 1/576 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/576 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/576 binary64) x) (patch (.f64 #s(literal 1/576 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/576 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/576 binary64) x) (patch (.f64 #s(literal 1/576 binary64) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

-inf

((/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) (/ (- (exp x) 1) x) (+ (* (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) x) 1) (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) (/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)) (+ (* -1/2 x) 1) (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) x) 1) (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) (+ (* (* (+ (* (* 1/576 x) x) -1/36) x) (/ -1 (+ (* -1/24 x) 1/6))) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* (* (+ (* (* 1/576 x) x) -1/36) x) (/ -1 (+ (* -1/24 x) 1/6))) 1/2) x) 1) (* (+ (* (* 1/576 x) x) -1/36) x) (+ 1/36 (* x (- (* 1/576 x) 1/144))) (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (* 1/576 x))

3.0ms

inf

((/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) (/ (- (exp x) 1) x) (+ (* (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) x) 1) (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) (/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)) (+ (* -1/2 x) 1) (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) x) 1) (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) (+ (* (* (+ (* (* 1/576 x) x) -1/36) x) (/ -1 (+ (* -1/24 x) 1/6))) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* (* (+ (* (* 1/576 x) x) -1/36) x) (/ -1 (+ (* -1/24 x) 1/6))) 1/2) x) 1) (* (+ (* (* 1/576 x) x) -1/36) x) (+ 1/36 (* x (- (* 1/576 x) 1/144))) (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (* 1/576 x))

2.0ms

((/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) (/ (- (exp x) 1) x) (+ (* (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) x) 1) (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) (/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)) (+ (* -1/2 x) 1) (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) x) 1) (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) (+ (* (* (+ (* (* 1/576 x) x) -1/36) x) (/ -1 (+ (* -1/24 x) 1/6))) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* (* (+ (* (* 1/576 x) x) -1/36) x) (/ -1 (+ (* -1/24 x) 1/6))) 1/2) x) 1) (* (+ (* (* 1/576 x) x) -1/36) x) (+ 1/36 (* x (- (* 1/576 x) 1/144))) (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (* 1/576 x))

simplify120.0ms (1.4%)

Memory

-29.5MiB live, 207.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 480×	`lower-fma.f64`
7 480×	`lower-fma.f32`
3 074×	`lower-*.f64`
3 074×	`lower-*.f32`
2 336×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	1888
1	488	1872
2	1228	1830
3	3129	1804
4	7003	1804
0	8149	1508

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2)))
1
(+ 1 (* -1/2 x))
(+ 1 (* -1/2 x))
(+ 1 (* -1/2 x))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* -1/36 x)
(* x (- (* 1/576 (pow x 2)) 1/36))
(* x (- (* 1/576 (pow x 2)) 1/36))
(* x (- (* 1/576 (pow x 2)) 1/36))
1/36
(+ 1/36 (* -1/144 x))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
6
(+ 6 (* -3/2 x))
(+ 6 (* x (- (* 3/8 x) 3/2)))
(+ 6 (* x (- (* x (+ 3/8 (* -3/32 x))) 3/2)))
6
(+ 6 (* -3/2 x))
(+ 6 (* x (- (* 3/8 x) 3/2)))
(+ 6 (* x (- (* x (+ 3/8 (* -3/32 x))) 3/2)))
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 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 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)))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ x (- (exp x) 1))
(/ x (- (exp x) 1))
(/ x (- (exp x) 1))
(/ x (- (exp x) 1))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* 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)))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 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 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 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)))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 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))))))
(* 1/576 (pow x 3))
(* (pow x 3) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* 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))))
(/ 24 x)
(/ (- 24 (* 96 (/ 1 x))) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (* 96 (/ 1 x))) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3))))) x)
(/ 24 x)
(/ (- 24 (* 96 (/ 1 x))) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (* 96 (/ 1 x))) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3))))) x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 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)))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ x (- (exp x) 1))
(/ x (- (exp x) 1))
(/ x (- (exp x) 1))
(/ x (- (exp x) 1))
(* -1/2 x)
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* 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)))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 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 (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)))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 1/576 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/36 (/ 1 (pow x 2))) 1/576)))
(* -1 (* (pow x 3) (- (* 1/36 (/ 1 (pow x 2))) 1/576)))
(* -1 (* (pow x 3) (- (* 1/36 (/ 1 (pow x 2))) 1/576)))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(/ 24 x)
(* -1 (/ (- (* 96 (/ 1 x)) 24) x))
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x))
(/ 24 x)
(* -1 (/ (- (* 96 (/ 1 x)) 24) x))
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x))
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)
(* 1/576 x)

Outputs
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
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 (+ 1/6 (* 1/24 x))))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
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 (+ 1/6 (* 1/24 x))))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
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 (+ 1/6 (* 1/24 x))))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* -1/36 x)
(*.f64 #s(literal -1/36 binary64) x)
(* x (- (* 1/576 (pow x 2)) 1/36))
(.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) x)
(* x (- (* 1/576 (pow x 2)) 1/36))
(.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) x)
(* x (- (* 1/576 (pow x 2)) 1/36))
(.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) x)
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* -1/144 x))
(fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(fma.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x #s(literal 1/36 binary64))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(fma.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x #s(literal 1/36 binary64))
6
#s(literal 6 binary64)
(+ 6 (* -3/2 x))
(fma.f64 #s(literal -3/2 binary64) x #s(literal 6 binary64))
(+ 6 (* x (- (* 3/8 x) 3/2)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -3/2 binary64)) x #s(literal 6 binary64))
(+ 6 (* x (- (* x (+ 3/8 (* -3/32 x))) 3/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -3/32 binary64) x #s(literal 3/8 binary64)) x #s(literal -3/2 binary64)) x #s(literal 6 binary64))
6
#s(literal 6 binary64)
(+ 6 (* -3/2 x))
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(*.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x)
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(*.f64 (fma.f64 #s(literal 1/576 binary64) x (-.f64 (/.f64 #s(literal 1/36 binary64) x) #s(literal 1/144 binary64))) x)
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(*.f64 (fma.f64 #s(literal 1/576 binary64) x (-.f64 (/.f64 #s(literal 1/36 binary64) x) #s(literal 1/144 binary64))) x)
(/ 24 x)
(/.f64 #s(literal 24 binary64) x)
(* -1 (/ (- (* 96 (/ 1 x)) 24) x))
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 384 binary64) x) #s(literal 96 binary64)) x) #s(literal -24 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -96 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1536 binary64) x) #s(literal 384 binary64)) x)) x) #s(literal -24 binary64)) x)
(/ 24 x)
(/.f64 #s(literal 24 binary64) x)
(* -1 (/ (- (* 96 (/ 1 x)) 24) x))
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 384 binary64) x) #s(literal 96 binary64)) x) #s(literal -24 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -96 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1536 binary64) x) #s(literal 384 binary64)) x)) x) #s(literal -24 binary64)) x)
(* 1/576 x)
(*.f64 #s(literal 1/576 binary64) x)
(* 1/576 x)
(*.f64 #s(literal 1/576 binary64) x)
(* 1/576 x)
(*.f64 #s(literal 1/576 binary64) x)
(* 1/576 x)
(*.f64 #s(literal 1/576 binary64) x)

rewrite210.0ms (2.4%)

Memory

4.2MiB live, 322.7MiB allocated

Rules

5 736×	`lower-fma.f32`
5 716×	`lower-fma.f64`
4 690×	`lower-/.f32`
4 678×	`lower-/.f64`
4 584×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	426
0	91	406
1	373	395
2	2667	380
0	9609	336

Stop Event

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

Counts

23 → 434

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/46656 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) x) #s(literal 1/10077696 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (fma.f64 (.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/2985984 binary64))))))
(.f64 (pow.f64 (/.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/46656 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))))
(.f64 (pow.f64 (/.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) x) #s(literal 1/10077696 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/2985984 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/216 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1/216 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) (.f64 #s(literal 1/216 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))))) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) (.f64 #s(literal 1/216 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/216 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/216 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) (.f64 #s(literal 1/216 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))))) (.f64 (.f64 #s(literal 1/216 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1/216 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64))) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1/216 binary64))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1/216 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1/216 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1/216 binary64)) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64)))))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (fma.f64 (.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/46656 binary64)))) (neg.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (fma.f64 (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) x) #s(literal 1/10077696 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/2985984 binary64))))))
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#s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))
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(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))))
(.f64 (/.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) #s(literal 1 binary64))
(.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) #s(literal 1 binary64)))
(.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))))
(pow.f64 (/.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) #s(literal 1 binary64))
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(/.f64 (.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))))
(/.f64 (neg.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))))
(/.f64 (neg.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))))
(/.f64 (neg.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))))
(/.f64 (/.f64 (neg.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))))
(/.f64 (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) #s(literal 1 binary64))
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(/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1 binary64)))
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(neg.f64 (/.f64 (neg.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))))) (/.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) (/.f64 (neg.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(.f64 #s(approx (/ (+ 1/36 ( x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) #s(literal -1 binary64))
(pow.f64 #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x)))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x)))))
(/.f64 #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ (+ 1/36 ( x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) #s(literal -1 binary64))))
(*.f64 #s(literal 1/576 binary64) x)
(*.f64 x #s(literal 1/576 binary64))

eval188.0ms (2.2%)

Memory: 22.4MiB live, 181.6MiB allocated
Compiler: Compiled 18 082 to 1 673 computations (90.7% saved)

prune313.0ms (3.6%)

Memory

-30.0MiB live, 218.5MiB allocated

Pruning

40 alts after pruning (30 fresh and 10 done)

	Pruned	Kept	Total
New	714	16	730
Fresh	7	14	21
Picked	1	4	5
Done	0	6	6
Total	722	40	762

Accuracy

100.0%

Counts

762 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.1%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (expm1.f64 x))) (*.f64 x x))
	3.4%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	31.3%	(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x))) x)
	51.8%	(/.f64 #s(approx (- (exp x) 1) (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) x)
	21.4%	(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/24 binary64)))) x)
	47.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
	48.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
✓	50.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
	48.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))))
	48.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))))))
	47.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
	6.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
✓	63.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	67.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	50.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/46656 binary64)) (.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	51.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	67.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	67.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	67.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	67.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	50.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/46656 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	67.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	63.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	63.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	60.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	47.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) x #s(literal -2/3 binary64)) x #s(literal 2 binary64)))) x #s(literal 1 binary64)))
	62.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (/.f64 #s(literal 24 binary64) (*.f64 x x)))) x #s(literal 1 binary64)))
	63.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (+.f64 (/.f64 x #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	47.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	60.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
	50.7%	#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))
	19.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
	20.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
	20.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))
	20.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) x)))
	16.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))
✓	17.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
	17.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
✓	46.7%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 1 856 to 620 computations (66.6% saved)

regimes56.0ms (0.6%)

Memory

26.1MiB live, 64.4MiB allocated

Counts

69 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) x #s(literal -2/3 binary64)) x #s(literal 2 binary64)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (+.f64 (/.f64 x #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/24 binary64)))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (/.f64 #s(literal 24 binary64) (*.f64 x x)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))))
#s(approx (/ (- (exp x) 1) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (*.f64 x x)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 #s(literal 1/576 binary64) x) x)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/46656 binary64)) (.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal -1/216 binary64)) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal 1/20736 binary64)))) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/46656 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (expm1.f64 x))) (*.f64 x x))

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

Calls

2 calls:

37.0ms	x
15.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes71.0ms (0.8%)

Memory

-18.9MiB live, 62.1MiB allocated

Counts

66 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) x #s(literal -2/3 binary64)) x #s(literal 2 binary64)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (+.f64 (/.f64 x #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/24 binary64)))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (/.f64 #s(literal 24 binary64) (*.f64 x x)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))))
#s(approx (/ (- (exp x) 1) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (*.f64 x x)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 #s(literal 1/576 binary64) x) x)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/576 binary64) x) #s(literal 1/144 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/46656 binary64)) (.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x (/.f64 #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x x) x) #s(literal -1/216 binary64)) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal 1/20736 binary64)))) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(approx (+ 1/36 ( x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/46656 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

Outputs

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

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

Calls

2 calls:

34.0ms	x
33.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
72.2%	2	`x`
72.2%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes37.0ms (0.4%)

Memory

-9.6MiB live, 29.8MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) x #s(literal -2/3 binary64)) x #s(literal 2 binary64)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (+.f64 (/.f64 x #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/24 binary64)))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (/.f64 #s(literal 24 binary64) (*.f64 x x)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
70.0%	2	`x`
70.0%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory

30.0MiB live, 30.0MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) x #s(literal -2/3 binary64)) x #s(literal 2 binary64)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (+.f64 (/.f64 x #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/24 binary64)))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (/.f64 #s(literal 24 binary64) (*.f64 x x)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
69.6%	2	`x`
69.6%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes25.0ms (0.3%)

Memory

-13.8MiB live, 25.4MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ 1 (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216))) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (fma.f64 (fma.f64 #s(literal 1/18 binary64) x #s(literal -2/3 binary64)) x #s(literal 2 binary64)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (+.f64 (/.f64 x #s(approx (/ (+ 1/36 (* x (- (* 1/576 x) 1/144))) (+ (* 1/13824 (* (* x x) x)) 1/216)) (/.f64 #s(literal 24 binary64) x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

Outputs

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

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

Calls

2 calls:

16.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
7.0ms	x

Results

Accuracy	Segments	Branch
68.3%	2	`x`
68.3%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes31.0ms (0.4%)

Memory

-14.9MiB live, 24.7MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
68.3%	2	`x`
68.3%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
68.3%	2	`x`
68.3%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes30.0ms (0.3%)

Memory

-20.8MiB live, 20.5MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

24.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
68.1%	2	`x`
68.1%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
68.4%	3	`x`
68.4%	4	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes27.0ms (0.3%)

Memory

-21.9MiB live, 17.7MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

21.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
4.0ms	x

Results

Accuracy	Segments	Branch
64.4%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
64.4%	2	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
60.7%	1	`x`
60.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
60.2%	2	`x`
60.2%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes22.0ms (0.3%)

Memory

-31.0MiB live, 8.6MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
60.2%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
60.2%	2	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes4.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
47.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
47.0%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
46.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
46.7%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1511010338170108	0.9981561651224145

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1511010338170108	0.9981561651224145

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.006608642493603	4.691384500236835e+298

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1511010338170108	0.9981561651224145

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1511010338170108	0.9981561651224145

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1511010338170108	0.9981561651224145

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.006608642493603	4.691384500236835e+298

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch38.0ms (0.4%)

Memory

3.5MiB live, 42.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.6551533890209501e-6	694.2589304432735
10.0ms	-6.609167528221057	-0.0036922097012697793

Samples

26.0ms

272×

valid

Compiler

Compiled 351 to 228 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-expm1: 19.0ms (90.5% of total)

ival-div: 2.0ms (9.5% of total)

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

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.006608642493603	4.691384500236835e+298

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch9.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.6551533890209501e-6	694.2589304432735

Samples

4.0ms

112×

valid

Compiler

Compiled 136 to 88 computations (35.3% saved)

Precisions

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

ival-div: 1.0ms (50.1% of total)

ival-expm1: 1.0ms (50.1% of total)

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

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

bsearch34.0ms (0.4%)

Memory

-29.4MiB live, 11.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	1.6551533890209501e-6	694.2589304432735

Samples

30.0ms

80×

valid

Compiler

Compiled 127 to 79 computations (37.8% saved)

Precisions

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

ival-div: 1.0ms (68.6% of total)

ival-expm1: 1.0ms (68.6% of total)

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

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

simplify10.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
4×	`unsub-neg_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	543
1	125	543
2	129	543
3	132	543
4	135	543
5	138	543

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/24 binary64)))) x))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))))
(if (<=.f64 x #s(literal -5/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (.f64 #s(literal -1/2 binary64) x)))) (if (<=.f64 x #s(literal 13/2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Outputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x #s(approx (+ 1/36 (* x (- (* 1/576 x) 1/144))) #s(literal 1/36 binary64))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/24 binary64)))) x))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) x)))))
(if (<=.f64 x #s(literal -5/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (.f64 #s(literal -1/2 binary64) x)))) (if (<=.f64 x #s(literal 13/2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))))
(if (<=.f64 x #s(literal -5/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (.f64 #s(literal -1/2 binary64) x)))) (if (<=.f64 x #s(literal 13/2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) x))))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) x)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

soundness3.4s (38.8%)

Memory

27.7MiB live, 1 370.4MiB allocated

Rules

12 272×	`lower-fma.f64`
12 272×	`lower-fma.f32`
10 022×	`lower-fma.f64`
10 022×	`lower-fma.f32`
7 480×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	1972
1	648	1961
2	1578	1918
3	4514	1898
0	8353	1581
0	21	115
0	35	115
1	136	115
2	951	115
0	8601	115
0	26	184
1	81	184
2	173	184
3	391	184
4	623	184
5	769	184
6	797	184
7	845	184
8	899	184
9	1593	184
10	4100	184
11	5151	184
12	5377	184
13	5511	184
14	5626	184
15	5632	184
16	5903	184
17	5903	184
18	6087	184
19	6158	184
20	6158	184
21	6366	184
22	6447	184
23	6447	184
0	6447	135
0	60	426
0	91	406
1	373	395
2	2667	380
0	9609	336
0	5	12
0	8	12
1	35	12
2	220	12
3	2299	12
0	8893	8
0	170	1888
1	488	1872
2	1228	1830
3	3129	1804
4	7003	1804
0	8149	1508
0	79	1038
1	271	1038
2	752	1022
3	2246	1022
4	6029	1006
0	8305	778

Stop Event

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

Compiler

Compiled 997 to 458 computations (54.1% saved)

preprocess129.0ms (1.5%)

Memory: -0.9MiB live, 349.3MiB allocated
Compiler: Compiled 676 to 168 computations (75.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
0	5	6
0	8	6
1	16	6
2	19	6
3	25	6
4	34	6
5	46	6
6	66	6
7	110	6
8	173	6
9	321	6
10	475	6
11	569	6
12	636	6
13	844	6
14	851	6
15	852	6
0	852	4

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	173	14
9	321	14
10	475	14
11	569	14
12	636	14
13	844	14
14	851	14
15	852	14
0	852	10

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
0	5	6
0	8	6
1	16	6
2	19	6
3	25	6
4	34	6
5	46	6
6	66	6
7	110	6
8	173	6
9	321	6
10	475	6
11	569	6
12	636	6
13	844	6
14	851	6
15	852	6
0	852	4

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	173	14
9	321	14
10	475	14
11	569	14
12	636	14
13	844	14
14	851	14
15	852	14
0	852	10

start0.0ms (0%)

analyze1.0ms (0%)

sample616.0ms (7.1%)

explain123.0ms (1.4%)

preprocess48.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify25.0ms (0.3%)

localize45.0ms (0.5%)

series3.0ms (0%)

simplify312.0ms (3.6%)

rewrite228.0ms (2.6%)

eval120.0ms (1.4%)

prune134.0ms (1.5%)

simplify268.0ms (3.1%)

localize109.0ms (1.3%)

series11.0ms (0.1%)

simplify155.0ms (1.8%)

rewrite169.0ms (1.9%)

eval106.0ms (1.2%)

prune139.0ms (1.6%)

simplify126.0ms (1.5%)

localize191.0ms (2.2%)

series22.0ms (0.3%)

simplify157.0ms (1.8%)

rewrite209.0ms (2.4%)

eval173.0ms (2%)

prune124.0ms (1.4%)

simplify108.0ms (1.3%)

localize136.0ms (1.6%)

series24.0ms (0.3%)

simplify120.0ms (1.4%)

rewrite210.0ms (2.4%)

eval188.0ms (2.2%)

prune313.0ms (3.6%)

regimes56.0ms (0.6%)

regimes71.0ms (0.8%)

regimes37.0ms (0.4%)

regimes17.0ms (0.2%)

regimes25.0ms (0.3%)

regimes31.0ms (0.4%)

regimes13.0ms (0.1%)

regimes30.0ms (0.3%)

regimes11.0ms (0.1%)

regimes27.0ms (0.3%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes22.0ms (0.3%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch38.0ms (0.4%)

bsearch0.0ms (0%)

bsearch9.0ms (0.1%)

bsearch34.0ms (0.4%)

simplify10.0ms (0.1%)

soundness3.4s (38.8%)

preprocess129.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
0	5	6
0	8	6
1	16	6
2	19	6
3	25	6
4	34	6
5	46	6
6	66	6
7	110	6
8	173	6
9	321	6
10	475	6
11	569	6
12	636	6
13	844	6
14	851	6
15	852	6
0	852	4

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	173	14
9	321	14
10	475	14
11	569	14
12	636	14
13	844	14
14	851	14
15	852	14
0	852	10