Metrics for Kahan's exp quotient

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

3.4MiB live, 3.4MiB 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)

sample728.0ms (8%)

Memory

-26.0MiB live, 685.2MiB allocated

Samples

511.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

ival-div: 117.0ms (55.2% of total)

ival-expm1: 87.0ms (41% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain68.0ms (0.7%)

Memory

15.4MiB live, 53.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
113	-	-	`(-.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	113	0

Confusion

	Predicted +	Predicted -
+	113	0
-	0	143

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	113	0	0
-	0	0	143

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	143
1	113

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

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 (32.8% of total)

ival-exp: 4.0ms (32.8% of total)

ival-expm1: 3.0ms (24.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess66.0ms (0.7%)

Memory

-14.7MiB live, 24.5MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.5%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify26.0ms (0.3%)

Memory

13.7MiB live, 13.6MiB 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)

localize32.0ms (0.3%)

Memory

-23.0MiB live, 15.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
accuracy	0	(exp.f64 x)
accuracy	26.47598235760696	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

23.0ms

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 (33.3% of total)

ival-exp: 2.0ms (33.3% of total)

ival-expm1: 2.0ms (33.3% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Counts

3 → 36

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>

Calls

9 calls:

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

simplify387.0ms (4.2%)

Memory

12.8MiB live, 95.1MiB 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	4099	184
11	5148	184
12	5374	184
13	5508	184
14	5623	184
15	5629	184
16	5904	184
17	5904	184
18	6088	184
19	6161	184
20	6161	184
21	6369	184
22	6450	184
23	6450	184
0	6450	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)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 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) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)

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

rewrite367.0ms (4%)

Memory

9.2MiB live, 198.5MiB 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 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x)))
(-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (expm1.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 x #s(literal 6 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))))
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(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (expm1.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (+.f64 x x))))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 x (exp.f64 x) (neg.f64 x)) x)) (neg.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (exp.f64 x) (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x))) (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 (+.f64 x x)) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (expm1.f64 (+.f64 x x)) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x (expm1.f64 x)) (/.f64 x (expm1.f64 x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 x (expm1.f64 x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (expm1.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) x))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) x))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (fma.f64 x (exp.f64 x) x)))
(.f64 (fma.f64 x (exp.f64 x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (.f64 x #s(literal 3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (+.f64 x x)))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (expm1.f64 (+.f64 x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.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 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 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 (expm1.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x)))
(*.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (expm1.f64 (+.f64 x x))) (expm1.f64 x))
(.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) (neg.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 x x)) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 x (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(exp.f64 x)
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))

eval74.0ms (0.8%)

Memory: -25.8MiB live, 59.4MiB allocated
Compiler: Compiled 11 352 to 1 472 computations (87% saved)

prune112.0ms (1.2%)

Memory

31.9MiB live, 146.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	523	8	531
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	524	8	532

Accuracy

100.0%

Counts

532 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.3%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
▶	100.0%	(/.f64 (expm1.f64 x) x)
	68.2%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
▶	68.9%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x)
▶	67.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
▶	64.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	46.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶	46.3%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 142 to 86 computations (39.4% saved)

simplify325.0ms (3.5%)

Memory

-14.8MiB live, 145.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
cost-diff	0	#s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x)
cost-diff	0	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (exp 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`
5 876×	`lower-fma.f64`
1 552×	`lower-*.f32`
1 550×	`lower-*.f64`
864×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	150
0	37	150
1	74	150
2	150	150
3	265	150
4	475	150
5	555	150
6	718	150
7	777	150
8	836	150
9	1487	150
10	3811	150
11	4915	150
12	5242	150
13	5402	150
14	5516	150
15	5746	150
16	5834	150
17	5859	150
18	5859	150
19	6043	150
20	6103	150
21	6103	150
22	6107	150
0	6107	150

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

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

localize128.0ms (1.4%)

Memory

19.9MiB live, 138.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
accuracy	0.0625	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.203125	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy	19.73528012407893	#s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
accuracy	0.0234375	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.0625	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.203125	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy	20.562592881531778	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.06640625	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.19921875	(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	22.632860617293773	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	34.17137335900192	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
accuracy	0	(/.f64 (expm1.f64 x) x)
accuracy	0	(expm1.f64 x)

Samples

94.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 136 to 21 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

const: 26.0ms (41.9% of total)

ival-mult: 25.0ms (40.2% of total)

ival-add: 7.0ms (11.3% of total)

ival-div: 2.0ms (3.2% of total)

ival-expm1: 2.0ms (3.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory

-24.7MiB live, 12.8MiB allocated

Counts

14 → 168

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>

Calls

42 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	(+ (* x 1/24) 1/6)
1.0ms	x	@	inf	(+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1)
0.0ms	x	@	inf	(+ (* x (+ (* x 1/6) 1/2)) 1)
0.0ms	x	@	-inf	(+ (* x (+ (* x 1/6) 1/2)) 1)
0.0ms	x	@	-inf	(+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1)

simplify165.0ms (1.8%)

Memory

14.6MiB live, 326.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 022×	`lower-fma.f64`
10 022×	`lower-fma.f32`
3 028×	`lower-*.f64`
3 028×	`lower-*.f32`
1 432×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	1168
1	271	1168
2	751	1126
3	2241	1126
4	6012	1110
0	8287	867

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 165

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))))))
(/ (- (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)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 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) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 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) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) 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))
(* (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))
(* (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)))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 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) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 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)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 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)))))
(* 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
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 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 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 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) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) 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)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
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)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 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)))))
(* 1/24 (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))) x)) 1/24)))

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

rewrite244.0ms (2.7%)

Memory

11.7MiB live, 535.7MiB allocated

Rules

4 674×	`lower-/.f32`
4 670×	`lower-/.f64`
4 654×	`lower-*.f32`
4 652×	`lower-*.f64`
3 346×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	124
0	37	124
1	167	124
2	1275	124
0	8266	124

Stop Event

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

Counts

14 → 498

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

Outputs
(+.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 x) (neg.f64 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 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) x))
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(.f64 (.f64 x (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
(.f64 (.f64 x (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 1/8 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))

eval118.0ms (1.3%)

Memory: -6.9MiB live, 284.1MiB allocated
Compiler: Compiled 20 315 to 1 933 computations (90.5% saved)

prune166.0ms (1.8%)

Memory

-2.2MiB live, 278.9MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	755	23	778
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	758	28	786

Accuracy

100.0%

Counts

786 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.3%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	68.2%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
	50.7%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x)) x)
	68.9%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) #s(literal 1/2 binary64))) x)) x)
	68.8%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64))))) x)) x)
	68.8%	(/.f64 #s(approx (- (exp x) 1) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))) x)
	26.2%	(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))) x)
▶	68.9%	(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
	67.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	67.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	48.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
▶	48.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	67.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	45.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	67.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	48.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x #s(literal 1/144 binary64)))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	67.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	64.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
▶	46.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	46.7%	#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
▶	67.5%	#s(approx (/ (- (exp x) 1) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
	25.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
▶	25.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
	24.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
	21.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
	22.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
✓	46.3%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 961 to 555 computations (42.2% saved)

simplify275.0ms (3%)

Memory

-16.5MiB live, 228.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	128	(+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (*.f64 x #s(literal 1/144 binary64))))
cost-diff	448	(-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (*.f64 x #s(literal 1/144 binary64)))
cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
cost-diff	0	#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
cost-diff	0	#s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
cost-diff	0	(/.f64 x #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))

Rules

8 896×	`lower-fma.f32`
8 880×	`lower-fma.f64`
3 376×	`lower-*.f32`
3 366×	`lower-*.f64`
1 728×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	435
0	73	415
1	137	403
2	282	401
3	514	401
4	903	401
5	1359	401
6	1822	401
7	2769	401
8	5651	401
9	8000	401
0	8001	376

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

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

localize179.0ms (2%)

Memory

21.2MiB live, 176.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(.f64 (.f64 x x) #s(literal 1/576 binary64))
accuracy	0.26171875	(*.f64 x #s(literal 1/144 binary64))
accuracy	11.686344767626668	(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (*.f64 x #s(literal 1/144 binary64)))))
accuracy	17.027801661368297	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.02734375	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.03125	(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.0859375	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy	17.027801661368297	#s(approx (/ (- (exp x) 1) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
accuracy	0.02734375	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.0859375	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy	17.027801661368297	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
accuracy	27.144349963822762	#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
accuracy	0.01953125	(fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	16.62448072687171	#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))
accuracy	17.027801661368297	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.0234375	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
accuracy	0.02734375	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.0859375	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
accuracy	17.113303264542235	#s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))

Samples

66.0ms	182×	0	valid
47.0ms	73×	0	exit
2.0ms	1×	5	exit

Compiler

Compiled 348 to 39 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

const: 57.0ms (59.8% of total)

ival-mult: 16.0ms (16.8% of total)

ival-div: 9.0ms (9.4% of total)

ival-add: 9.0ms (9.4% of total)

ival-expm1: 2.0ms (2.1% of total)

ival-sub: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory

-22.7MiB live, 15.1MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/12 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (/ x (- (exp x) 1))>
#<alt (/ x (- (exp x) 1))>
#<alt (/ x (- (exp x) 1))>
#<alt (/ x (- (exp x) 1))>
#<alt (/ x (- (exp x) 1))>
#<alt (/ x (- (exp x) 1))>
#<alt (/ x (- (exp x) 1))>
#<alt (/ x (- (exp x) 1))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/12 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 3))>
#<alt (/ (- 24 (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* -1/144 x)>
#<alt (* x (- (* 1/576 x) 1/144))>
#<alt (* x (- (* 1/576 x) 1/144))>
#<alt (* x (- (* 1/576 x) 1/144))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt 1/36>
#<alt (+ 1/36 (* -1/144 x))>
#<alt (+ 1/36 (* x (- (* 1/576 x) 1/144)))>
#<alt (+ 1/36 (* x (- (* 1/576 x) 1/144)))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>

Calls

69 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	(- (* (* x x) 1/576) (* x 1/144))
0.0ms	x	@	-inf	(/ x (- (exp x) 1))
0.0ms	x	@	inf	(/ x (- (exp x) 1))
0.0ms	x	@	inf	(/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))))
0.0ms	x	@	0	(- (* (* x x) 1/576) (* x 1/144))

simplify316.0ms (3.5%)

Memory

3.3MiB live, 285.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 498×	`lower-fma.f64`
11 498×	`lower-fma.f32`
3 580×	`lower-*.f64`
3 580×	`lower-*.f32`
2 970×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	2074
1	475	2065
2	1274	2036
3	3764	1976
4	7294	1976
0	8142	1662

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 274

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))))))
(/ (- (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
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2)))
(/ 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 (- (exp x) 1))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
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)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 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))))))
(/ (- (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
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 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)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 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)))))
(* 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
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 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) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 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)))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 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)))))
(* 1/24 (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))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 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)))))
(* 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
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 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
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 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) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2)))
(/ 24 (pow x 3))
(/ (- 24 (* 96 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 3))
(/ 24 (pow x 3))
(* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 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)))
(* -1/144 x)
(* x (- (* 1/576 x) 1/144))
(* x (- (* 1/576 x) 1/144))
(* x (- (* 1/576 x) 1/144))
(* 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))))
(* 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))))
1/36
(+ 1/36 (* -1/144 x))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 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) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 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)))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 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 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 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 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))

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 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp 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
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ x (- (exp x) 1))
(/.f64 x (expm1.f64 x))
(/ x (- (exp x) 1))
(/.f64 x (expm1.f64 x))
(/ x (- (exp x) 1))
(/.f64 x (expm1.f64 x))
(/ x (- (exp x) 1))
(/.f64 x (expm1.f64 x))
(/ x (- (exp x) 1))
(/.f64 x (expm1.f64 x))
(/ x (- (exp x) 1))
(/.f64 x (expm1.f64 x))
(/ x (- (exp x) 1))
(/.f64 x (expm1.f64 x))
(/ x (- (exp x) 1))
(/.f64 x (expm1.f64 x))
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) 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 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/24 binary64)) x)
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/24 binary64)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) 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 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp 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
#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 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (neg.f64 x)) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
1
#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 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp 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
#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 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (neg.f64 x)) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/6 x)))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
1
#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 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (neg.f64 x)) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x 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 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp 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
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2)))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/144 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(/ (- 24 (* 96 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x x)))
(/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal -96 binary64)) x)) (.f64 x (.f64 x x)))
(/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal -96 binary64)) (/.f64 #s(literal 192 binary64) (.f64 x x))) x)) (.f64 x (*.f64 x x)))
(/ 24 (pow x 3))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal -96 binary64)) x)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal -96 binary64)) (/.f64 #s(literal 192 binary64) (.f64 x x))) x)) (.f64 x (*.f64 x 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 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (neg.f64 x)) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))
(* -1/144 x)
(*.f64 x #s(literal -1/144 binary64))
(* x (- (* 1/576 x) 1/144))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* x (- (* 1/576 x) 1/144))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* x (- (* 1/576 x) 1/144))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* -1/144 x))
(fma.f64 x #s(literal -1/144 binary64) #s(literal 1/36 binary64))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) (+.f64 #s(literal -1/144 binary64) (/.f64 #s(literal 1/36 binary64) x))))
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) (+.f64 #s(literal -1/144 binary64) (/.f64 #s(literal 1/36 binary64) x))))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) (+.f64 #s(literal -1/144 binary64) (/.f64 #s(literal 1/36 binary64) x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) (+.f64 #s(literal -1/144 binary64) (/.f64 #s(literal 1/36 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 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp 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
#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 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(fma.f64 (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (neg.f64 x)) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))
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))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 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))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))

rewrite456.0ms (5%)

Memory

-9.2MiB live, 352.0MiB allocated

Rules

5 238×	`lower-fma.f32`
5 226×	`lower-fma.f64`
3 550×	`lower-*.f32`
3 540×	`lower-*.f64`
3 440×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	340
0	73	284
1	302	278
2	2362	278
0	8122	263

Stop Event

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

Counts

23 → 723

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 x #s(approx (- (exp x) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (- (exp x) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x))))
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
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(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal 1/216 binary64)) (fma.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))) #s(literal 1/46656 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) (-.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal 1/216 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))) (-.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal 1/216 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)) #s(literal 1/36 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/10077696 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2985984 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))) #s(literal -1/216 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/10077696 binary64)) (fma.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))) #s(literal 1/46656 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2985984 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) (-.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/10077696 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2985984 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (fma.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))) #s(literal 1/46656 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) (-.f64 (.f64 x (-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))))
(*.f64 x #s(literal 1/144 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/144 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/24 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x #s(literal 1/24 binary64))))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/24 binary64))
(.f64 (.f64 x #s(literal 1/576 binary64)) x)
(.f64 (.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) x)

eval170.0ms (1.9%)

Memory: 28.6MiB live, 411.2MiB allocated
Compiler: Compiled 42 085 to 2 973 computations (92.9% saved)

prune138.0ms (1.5%)

Memory

-18.0MiB live, 349.4MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	1 308	7	1 315
Fresh	14	6	20
Picked	3	2	5
Done	0	3	3
Total	1 325	18	1 343

Accuracy

100.0%

Counts

1 343 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.3%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	68.8%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64))))) x)) x)
▶	26.2%	(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))) x)
	49.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	68.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	64.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	46.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	46.7%	#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
	25.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (/ 1 (/ 1 (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1))) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
✓	25.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
	25.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
	21.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
	24.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
▶	25.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
▶	3.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
	22.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
✓	46.3%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 368 to 188 computations (48.9% saved)

simplify226.0ms (2.5%)

Memory

-7.5MiB live, 398.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

10 588×	`lower-fma.f32`
10 580×	`lower-fma.f64`
3 718×	`lower-*.f32`
3 704×	`lower-*.f64`
1 956×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	468
0	70	444
1	137	424
2	284	424
3	491	424
4	727	424
5	916	424
6	1483	424
7	2076	424
8	3060	424
9	5914	424
10	7678	424
0	8115	382

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (1.4%)

Memory

-2.3MiB live, 318.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(.f64 x (.f64 x x))
accuracy	0.07421875	(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))
accuracy	19.73528012407893	#s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))))
accuracy	26.830711884859397	#s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))
accuracy	0.21875	(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
accuracy	20.562592881531778	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
accuracy	27.144349963822762	#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
accuracy	27.203236773241503	#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
accuracy	0	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
accuracy	26.47598235760696	(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	34.47775375640162	#s(approx (exp x) #s(literal 1 binary64))
accuracy	0.02734375	(.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))
accuracy	20.562592881531778	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
accuracy	27.144349963822762	#s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))))
accuracy	34.19013822214276	#s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64))
accuracy	0.28657280074946145	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))
accuracy	20.562592881531778	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	25.23305424358287	(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64)))
accuracy	34.19487397951815	#s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))

Samples

77.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 277 to 38 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 23.0ms (37.6% of total)

const: 20.0ms (32.7% of total)

ival-add: 9.0ms (14.7% of total)

ival-div: 3.0ms (4.9% of total)

ival-exp: 2.0ms (3.3% of total)

ival-expm1: 2.0ms (3.3% of total)

ival-sub: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt 1/36>
#<alt (+ 1/36 (* -1/144 x))>
#<alt (+ 1/36 (* x (- (* 1/576 x) 1/144)))>
#<alt (+ 1/36 (* x (- (* 1/576 x) 1/144)))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))>
#<alt 1/216>
#<alt (+ 1/216 (* 1/13824 (pow x 3)))>
#<alt (+ 1/216 (* 1/13824 (pow x 3)))>
#<alt (+ 1/216 (* 1/13824 (pow x 3)))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

69 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* 1/24 (* (* x (* x x)) x))
0.0ms	x	@	inf	(+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))))) 1/2)
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	inf	(* 1/24 (* (* x (* x x)) x))
0.0ms	x	@	inf	(+ (* (* x (* x x)) 1/13824) 1/216)

simplify201.0ms (2.2%)

Memory

1.5MiB live, 401.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 172×	`lower-fma.f64`
13 172×	`lower-fma.f32`
3 960×	`lower-*.f64`
3 960×	`lower-*.f32`
2 368×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	1970
1	342	1969
2	925	1926
3	2798	1840
0	8003	1508

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 273

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

Outputs
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 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp 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
#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 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
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(/.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)
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* -1/144 x))
(fma.f64 x #s(literal -1/144 binary64) #s(literal 1/36 binary64))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1/144 binary64) (fma.f64 x #s(literal 1/576 binary64) (/.f64 #s(literal 1/36 binary64) x))))
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1/144 binary64) (fma.f64 x #s(literal 1/576 binary64) (/.f64 #s(literal 1/36 binary64) x))))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(*.f64 x (+.f64 #s(literal -1/144 binary64) (fma.f64 x #s(literal 1/576 binary64) (/.f64 #s(literal 1/36 binary64) x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(*.f64 x (+.f64 #s(literal -1/144 binary64) (fma.f64 x #s(literal 1/576 binary64) (/.f64 #s(literal 1/36 binary64) x))))
1/216
#s(literal 1/216 binary64)
(+ 1/216 (* 1/13824 (pow x 3)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal 1/216 binary64))
(+ 1/216 (* 1/13824 (pow x 3)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal 1/216 binary64))
(+ 1/216 (* 1/13824 (pow x 3)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal 1/216 binary64))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal 1/216 binary64))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal 1/216 binary64))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal 1/216 binary64))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal 1/216 binary64))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal 1/216 binary64))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))) #s(literal 1/216 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/24 x)))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/24 x)))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/24 x)))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

rewrite295.0ms (3.2%)

Memory

19.9MiB live, 616.8MiB allocated

Rules

5 802×	`lower-fma.f32`
5 794×	`lower-fma.f64`
3 880×	`lower-*.f32`
3 866×	`lower-*.f64`
3 816×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	431
0	70	411
1	288	393
2	2200	393
0	8520	356

Stop Event

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

Counts

23 → 329

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64))))
(+.f64 (.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (.f64 (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
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eval78.0ms (0.9%)

Memory: 1.3MiB live, 198.0MiB allocated
Compiler: Compiled 13 866 to 1 253 computations (91% saved)

prune72.0ms (0.8%)

Memory

-0.3MiB live, 199.6MiB allocated

Pruning

28 alts after pruning (18 fresh and 10 done)

	Pruned	Kept	Total
New	612	10	622
Fresh	0	8	8
Picked	0	5	5
Done	0	5	5
Total	612	28	640

Accuracy

100.0%

Counts

640 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.3%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	68.8%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64))))) x)) x)
✓	26.2%	(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))) x)
	49.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
	68.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
	68.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) #s(literal -1 binary64)) (/.f64 x #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	46.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (/.f64 x (/.f64 #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	46.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (.f64 #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	68.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	68.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (.f64 x #s(literal 1/24 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	46.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	46.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	68.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (+ (* (* x (* x x)) 1/13824) 1/216) (.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))))) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	64.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	46.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	46.7%	#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
	68.9%	#s(approx (/ (- (exp x) 1) x) (+.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
	25.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (/ 1 (/ 1 (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1))) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
✓	25.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
	25.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
	21.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
	24.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
✓	25.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
	21.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(approx (* x (+ (* x 1/24) 1/6)) (*.f64 x #s(literal 1/6 binary64)))))))
✓	3.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
	22.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
✓	46.3%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 1 273 to 417 computations (67.2% saved)

regimes29.0ms (0.3%)

Memory

-9.3MiB live, 68.6MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(approx (* x (+ (* x 1/24) 1/6)) (*.f64 x #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #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 (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (/ 1 (/ 1 (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1))) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64))))) x)) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (+ (* (* x (* x x)) 1/13824) 1/216) (.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))))) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (.f64 x #s(literal 1/24 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
#s(approx (/ (- (exp x) 1) x) (+.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) #s(literal -1 binary64)) (/.f64 x #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x #s(literal 1/144 binary64)))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) #s(literal 1/2 binary64))) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (.f64 #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (/.f64 x (/.f64 #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

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

Calls

2 calls:

14.0ms	x
12.0ms	(/.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)

regimes30.0ms (0.3%)

Memory

-24.6MiB live, 61.3MiB allocated

Counts

47 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) #s(approx (* x (+ (* x 1/24) 1/6)) (*.f64 x #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x #s(approx (+ ( x 1/24) 1/6) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #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 (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (/ 1 (/ 1 (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1))) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (fma.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
(/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64))))) x)) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (+ (* (* x (* x x)) 1/13824) 1/216) (.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))))) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (.f64 x #s(literal 1/24 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))))
#s(approx (/ (- (exp x) 1) x) (+.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) #s(literal -1 binary64)) (/.f64 x #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 x #s(literal 1/144 binary64)))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) #s(literal 1/2 binary64))) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (.f64 #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 (/.f64 x (/.f64 #s(approx (+ 1/36 (- (* (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Outputs

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

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

Calls

2 calls:

14.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
13.0ms	x

Results

Accuracy	Segments	Branch
73.6%	2	`x`
73.6%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

27.0MiB live, 27.0MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
73.5%	2	`x`
73.5%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory

-10.6MiB live, 27.1MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
73.5%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
73.5%	2	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
73.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes15.0ms (0.2%)

Memory

-12.9MiB live, 24.9MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
72.5%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
72.5%	2	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-19.5MiB live, 21.8MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
68.7%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
68.7%	2	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
68.4%	2	`x`
68.4%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

10 → 1

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
64.3%	1	`x`
64.3%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-22.9MiB live, 15.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
3.0ms	x

Results

Accuracy	Segments	Branch
65.0%	2	`x`
65.0%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes4.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #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
46.3%	1	`x`
46.3%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes3.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Accuracy

Total -27.6b remaining (-80.4%)

Threshold costs -27.6b (-80.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (*.f64 x #s(approx (+ (* x (+ (* x 1/24) 1/6)) 1/2) #s(literal 1/2 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
46.3%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
46.3%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.829319601110887e-16	0.9847780303349765

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	-2070685070770570.8	-3.310561586657487e-33

Samples

1.0ms

16×

valid

Compiler

Compiled 36 to 23 computations (36.1% saved)

Precisions

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

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

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

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

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

bsearch15.0ms (0.2%)

Memory

-13.4MiB live, 25.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.235756836144984e-11	1403646.2635654085

Samples

6.0ms

160×

valid

Compiler

Compiled 260 to 147 computations (43.5% saved)

Precisions

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

ival-expm1: 2.0ms (67% of total)

ival-div: 1.0ms (33.5% of total)

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

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

bsearch3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	4.235756836144984e-11	1403646.2635654085

Samples

1.0ms

32×

valid

Compiler

Compiled 250 to 147 computations (41.2% saved)

Precisions

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

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

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

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

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.235756836144984e-11	1403646.2635654085

Compiler

Compiled 210 to 127 computations (39.5% saved)

bsearch4.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	4.235756836144984e-11	1403646.2635654085

Samples

2.0ms

48×

valid

Compiler

Compiled 160 to 97 computations (39.4% saved)

Precisions

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

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

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

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

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

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000024685850257	+inf

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	1.0000024685850257	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

simplify14.0ms (0.2%)

Memory

-15.5MiB live, 22.9MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-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	109	409
1	127	409
2	131	409
3	134	409
4	137	409
5	140	409

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 2535301200456459/5070602400912917605986812821504 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (+ (* (* x (* x x)) 1/13824) 1/216) (.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))))) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -2000000000000000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x))
(if (<=.f64 x #s(literal 3715469692580659/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64))))) x)) x))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))) x))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) #s(approx (/ 1 (/ 1 (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1))) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))))
(if (<=.f64 x #s(literal 6530219459687219/2251799813685248 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (/ 1 (/ 1 (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1))) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #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 2535301200456459/5070602400912917605986812821504 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (+ (* (* x (* x x)) 1/13824) 1/216) (.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))))) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2535301200456459/5070602400912917605986812821504 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x (/.f64 #s(approx (+ (* (* x (* x x)) 1/13824) 1/216) (.f64 x (.f64 x (.f64 x #s(literal 1/13824 binary64))))) #s(approx (+ 1/36 (- ( (* x x) 1/576) (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -2000000000000000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) x))
(if (<=.f64 x #s(literal 3715469692580659/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) (fma.f64 x (.f64 x #s(approx (+ ( x (+ (* x 1/24) 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/24 binary64))))) x)) x))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)))) x))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) #s(approx (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) #s(approx (/ 1 (/ 1 (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1))) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))))
(if (<=.f64 x #s(literal 6530219459687219/2251799813685248 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (/ 1 (/ 1 (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1))) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 x (*.f64 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) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x (+ (* x 1/6) 1/2)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

soundness3.0s (32.7%)

Memory

-0.9MiB live, 1 225.3MiB allocated

Rules

13 172×	`lower-fma.f64`
13 172×	`lower-fma.f32`
11 498×	`lower-fma.f64`
11 498×	`lower-fma.f32`
10 022×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	124
0	37	124
1	167	124
2	1275	124
0	8266	124
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	4099	184
11	5148	184
12	5374	184
13	5508	184
14	5623	184
15	5629	184
16	5904	184
17	5904	184
18	6088	184
19	6161	184
20	6161	184
21	6369	184
22	6450	184
23	6450	184
0	6450	135
0	79	1168
1	271	1168
2	751	1126
3	2241	1126
4	6012	1110
0	8287	867
0	109	1970
1	342	1969
2	925	1926
3	2798	1840
0	8003	1508
0	155	2074
1	475	2065
2	1274	2036
3	3764	1976
4	7294	1976
0	8142	1662
0	5	12
0	8	12
1	35	12
2	220	12
3	2299	12
0	8893	8

Stop Event

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

Compiler

Compiled 667 to 325 computations (51.3% saved)

preprocess346.0ms (3.8%)

Memory: 4.0MiB live, 197.6MiB allocated
Compiler: Compiled 464 to 158 computations (65.9% 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%)

sample728.0ms (8%)

explain68.0ms (0.7%)

preprocess66.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (0.3%)

localize32.0ms (0.3%)

series2.0ms (0%)

simplify387.0ms (4.2%)

rewrite367.0ms (4%)

eval74.0ms (0.8%)

prune112.0ms (1.2%)

simplify325.0ms (3.5%)

localize128.0ms (1.4%)

series24.0ms (0.3%)

simplify165.0ms (1.8%)

rewrite244.0ms (2.7%)

eval118.0ms (1.3%)

prune166.0ms (1.8%)

simplify275.0ms (3%)

localize179.0ms (2%)

series40.0ms (0.4%)

simplify316.0ms (3.5%)

rewrite456.0ms (5%)

eval170.0ms (1.9%)

prune138.0ms (1.5%)

simplify226.0ms (2.5%)

localize124.0ms (1.4%)

series7.0ms (0.1%)

simplify201.0ms (2.2%)

rewrite295.0ms (3.2%)

eval78.0ms (0.9%)

prune72.0ms (0.8%)

regimes29.0ms (0.3%)

regimes30.0ms (0.3%)

regimes14.0ms (0.2%)

regimes16.0ms (0.2%)

regimes8.0ms (0.1%)

regimes15.0ms (0.2%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

bsearch15.0ms (0.2%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.2%)

soundness3.0s (32.7%)

preprocess346.0ms (3.8%)

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