Metrics for Kahan's exp quotient

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

2.4MiB live, 2.4MiB 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)

sample766.0ms (9.7%)

Memory

-1.6MiB live, 869.2MiB allocated

Samples

559.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-div: 90.0ms (47.7% of total)

ival-expm1: 89.0ms (47.2% of total)

ival-true: 6.0ms (3.2% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain99.0ms (1.2%)

Memory

-19.7MiB live, 103.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
135	-	-	`(-.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	135	0

Confusion

	Predicted +	Predicted -
+	135	0
-	0	121

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	0	0
-	0	0	121

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	121
1	135

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (31.4% of total)

ival-exp: 4.0ms (31.4% of total)

ival-expm1: 4.0ms (31.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess45.0ms (0.6%)

Memory

23.1MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

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 (expm1.f64 x) x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.3%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify24.0ms (0.3%)

Memory

2.5MiB live, 2.5MiB 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))

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

localize16.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.015625	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
accuracy	30.956352381166226	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

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

ival-div: 2.0ms (34.5% of total)

ival-exp: 2.0ms (34.5% of total)

ival-expm1: 2.0ms (34.5% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

3 → 36

Calls

Call 1

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

Inputs

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

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

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

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())

Calls

3 calls:

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

simplify325.0ms (4.1%)

Memory

-23.9MiB live, 84.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 35

Calls

Call 1

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

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

rewrite266.0ms (3.4%)

Memory

7.9MiB live, 222.9MiB allocated

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
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eval132.0ms (1.7%)

Memory: -15.0MiB live, 177.2MiB allocated
Compiler: Compiled 11 307 to 1 494 computations (86.8% saved)

prune12.0ms (0.2%)

Memory

36.6MiB live, 36.6MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	524	7	531
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	525	7	532

Accuracy

100.0%

Counts

532 → 7

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)
	69.3%	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	68.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	62.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	53.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	53.9%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 162 to 126 computations (22.2% saved)

simplify98.0ms (1.2%)

Memory

-14.1MiB live, 60.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	77
0	27	77
1	44	77
2	55	77
3	77	77
4	92	77
5	111	77
6	146	77
7	222	77
8	328	77
9	708	77
10	1254	77
11	1462	77
12	1623	77
13	1865	77
14	1896	77
15	1917	77
16	1919	77
0	1919	77

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

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

localize86.0ms (1.1%)

Memory

11.2MiB live, 87.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
accuracy	29.88529396551367	#s(approx (exp x) #s(literal 1 binary64))
accuracy	30.956352381166226	(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.07421875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.17578125	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	23.81036746690598	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy	29.510428720597332	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
accuracy	29.490229438567813	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
accuracy	0	(expm1.f64 x)
accuracy	0.015625	(/.f64 (expm1.f64 x) x)

Samples

72.0ms

256×

valid

Compiler

Compiled 155 to 34 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 5.0ms (26.4% of total)

ival-add: 4.0ms (21.1% of total)

const: 4.0ms (21.1% of total)

ival-div: 2.0ms (10.5% of total)

ival-exp: 2.0ms (10.5% of total)

ival-expm1: 2.0ms (10.5% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.5%)

Memory

-21.8MiB live, 13.3MiB allocated

Counts

11 → 132

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify139.0ms (1.8%)

Memory

7.2MiB live, 150.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	746
1	128	742
2	273	742
3	593	742
4	1448	742
5	4432	742
6	5594	742
7	7037	742
0	8113	550

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 130

Calls

Call 1

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

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

rewrite266.0ms (3.4%)

Memory

-7.0MiB live, 189.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	66
0	27	66
1	112	66
2	806	66
0	8368	66

Stop Event

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

Counts

11 → 743

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

Outputs
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eval186.0ms (2.4%)

Memory: 10.1MiB live, 126.5MiB allocated
Compiler: Compiled 19 924 to 2 242 computations (88.7% saved)

prune42.0ms (0.5%)

Memory

2.2MiB live, 39.5MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	869	4	873
Fresh	0	2	2
Picked	0	5	5
Done	0	0	0
Total	869	11	880

Accuracy

100.0%

Counts

880 → 11

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)
▶	69.3%	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	68.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	62.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	62.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
✓	53.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	12.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
▶	12.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	3.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	53.9%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 271 to 204 computations (24.7% saved)

simplify299.0ms (3.8%)

Memory

-19.9MiB live, 101.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
cost-diff	320	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	237
0	50	237
1	80	235
2	110	235
3	176	235
4	405	235
5	781	235
6	925	235
7	973	235
8	1029	235
9	1679	235
10	3963	235
11	5069	235
12	5413	235
13	5573	235
14	5687	235
15	5917	235
16	6005	235
17	6030	235
18	6030	235
19	6214	235
20	6293	235
21	6293	235
22	6297	235
0	6297	215

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize152.0ms (1.9%)

Memory

9.2MiB live, 135.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.01953125	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy	0.2967342522055367	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy	23.81036746690598	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
accuracy	0.0859375	(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
accuracy	0.17578125	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	23.81036746690598	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
accuracy	32.880441932057686	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
accuracy	0	(*.f64 x x)
accuracy	0.3631405022055367	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	23.81036746690598	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
accuracy	33.22840530644535	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	29.510428720597332	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
accuracy	33.28660183509202	#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.04296875	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.08203125	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.171875	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	19.6901567026022	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Samples

82.0ms

256×

valid

Compiler

Compiled 402 to 64 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-add: 41.0ms (60.6% of total)

ival-mult: 15.0ms (22.2% of total)

const: 7.0ms (10.3% of total)

ival-div: 2.0ms (3% of total)

ival-expm1: 2.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series48.0ms (0.6%)

Memory

-10.8MiB live, 25.7MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify198.0ms (2.5%)

Memory

33.0MiB live, 191.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	1458
1	289	1454
2	770	1446
3	2250	1442
4	6395	1442
0	8188	1169

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 238

Calls

Call 1

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

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

rewrite198.0ms (2.5%)

Memory

-7.4MiB live, 187.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	218
0	50	218
1	201	216
2	1412	216
0	8286	196

Stop Event

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

Counts

20 → 420

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval112.0ms (1.4%)

Memory: -13.2MiB live, 146.5MiB allocated
Compiler: Compiled 19 331 to 2 083 computations (89.2% saved)

prune90.0ms (1.1%)

Memory

8.7MiB live, 104.1MiB allocated

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	668	9	677
Fresh	0	1	1
Picked	1	4	5
Done	0	5	5
Total	669	19	688

Accuracy

100.0%

Counts

688 → 19

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)
	31.8%	(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x))) x)
▶	69.3%	(/.f64 #s(approx (- (exp x) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) x)
▶	69.3%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	69.3%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	69.3%	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)) x)) x)
▶	68.4%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
	18.5%	(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 x x)))) x)
▶	69.3%	(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
	68.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	62.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	62.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
✓	53.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
✓	12.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
✓	12.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	12.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
✓	3.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	53.9%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 660 to 449 computations (32% saved)

simplify131.0ms (1.7%)

Memory

-4.0MiB live, 154.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (exp x) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
cost-diff	0	(/.f64 #s(approx (- (exp x) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) x)
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
cost-diff	0	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	471
0	78	467
1	120	467
2	180	463
3	364	463
4	846	463
5	1544	463
6	2302	463
7	3085	463
8	3519	463
9	4831	463
0	8251	439

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.4%)

Memory

7.2MiB live, 203.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09375	(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
accuracy	0.4902443729162156	(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))
accuracy	6.905815238800343	(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
accuracy	17.10463179223314	#s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.08984375	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	0.38060229324458567	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	17.10463179223314	#s(approx (- (exp x) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
accuracy	0.0234375	(.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)
accuracy	0.5354173615782776	(.f64 (.f64 x x) #s(literal 1/24 binary64))
accuracy	17.10463179223314	#s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x))
accuracy	33.239145037502965	#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
accuracy	0.0859375	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.2734375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	16.754913927391666	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
accuracy	33.22840530644535	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
accuracy	0.0234375	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.08984375	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	17.10463179223314	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Samples

67.0ms	204×	0	valid
16.0ms	52×	0	exit

Compiler

Compiled 811 to 92 computations (88.7% saved)

Precisions

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

ival-mult: 21.0ms (34.5% of total)

const: 18.0ms (29.6% of total)

ival-div: 10.0ms (16.4% of total)

ival-add: 10.0ms (16.4% of total)

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

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.4%)

Memory

-28.6MiB live, 49.3MiB allocated

Counts

27 → 324

Calls

Call 1

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

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

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

3.0ms

-inf

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

3.0ms

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

simplify195.0ms (2.5%)

Memory

32.5MiB live, 190.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	2254
1	458	2242
2	1268	2210
3	3782	2194
4	6954	2170
0	8334	1799

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 316

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
x
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
x
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
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(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))

rewrite327.0ms (4.1%)

Memory

-32.6MiB live, 250.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	398
0	78	368
1	299	355
2	2115	355
0	8128	331

Stop Event

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

Counts

27 → 876

Calls

Call 1

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

Outputs
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eval443.0ms (5.6%)

Memory: 33.5MiB live, 381.6MiB allocated
Compiler: Compiled 44 009 to 4 449 computations (89.9% saved)

prune163.0ms (2.1%)

Memory

1.3MiB live, 128.2MiB allocated

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	1 349	5	1 354
Fresh	2	3	5
Picked	3	2	5
Done	0	9	9
Total	1 354	19	1 373

Accuracy

100.0%

Counts

1 373 → 19

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)
	31.8%	(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x))) x)
	68.4%	(/.f64 #s(approx (- (exp x) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))))) x)
	69.0%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/576 (* x x)) -1/36) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
✓	68.4%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
	18.5%	(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 x x)))) x)
	69.3%	(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
	68.4%	(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x))))
	57.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
	68.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	62.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	62.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
✓	53.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
✓	12.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
✓	12.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	12.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
✓	3.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	53.9%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 950 to 426 computations (55.2% saved)

regimes50.0ms (0.6%)

Memory

-6.0MiB live, 33.2MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 x x)))) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
(/.f64 #s(approx (- (exp x) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))))) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/576 (* x x)) -1/36) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x))) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

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

Calls

2 calls:

41.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
8.0ms	x

Results

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes16.0ms (0.2%)

Memory

-9.5MiB live, 31.4MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 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
76.7%	3	`x`
73.8%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes15.0ms (0.2%)

Memory

-9.5MiB live, 29.9MiB 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 (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 x x)))) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
(/.f64 #s(approx (- (exp x) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))))) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/576 (* x x)) -1/36) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
73.8%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
73.8%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes10.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes33.0ms (0.4%)

Memory

-19.6MiB live, 19.5MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

29.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB 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 (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
73.1%	2	`x`
73.1%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes29.0ms (0.4%)

Memory

-22.7MiB live, 16.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

25.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
4.0ms	x

Results

Accuracy	Segments	Branch
66.8%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
66.8%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
62.8%	1	`x`
62.8%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes5.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
62.6%	2	`x`
62.6%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes16.0ms (0.2%)

Memory

-25.0MiB live, 16.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
62.6%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
62.6%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Accuracy

Total -32.6b remaining (-110.4%)

Threshold costs -32.6b (-110.4%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
53.9%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
53.9%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

bsearch14.0ms (0.2%)

Memory

3.3MiB live, 42.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
11.0ms	1.50303558868365e+76	1.9684986741893553e+83
1.0ms	4.357271648802472e-67	4.892142202777814e-63

Samples

6.0ms

160×

valid

Compiler

Compiled 745 to 397 computations (46.7% saved)

Precisions

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

ival-div: 1.0ms (44.8% of total)

ival-expm1: 1.0ms (44.8% of total)

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

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

bsearch15.0ms (0.2%)

Memory

6.3MiB live, 45.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-11123.08328693329	-8.375773410067054e-7

Samples

6.0ms

160×

valid

Compiler

Compiled 329 to 267 computations (18.8% saved)

Precisions

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

ival-expm1: 2.0ms (61.2% of total)

ival-div: 1.0ms (30.6% of total)

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

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

bsearch1.0ms (0%)

Memory

-38.0MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0106554391238967	6.823276525589684e+178

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0106554391238967	6.823276525589684e+178

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch2.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-11123.08328693329	-8.375773410067054e-7

Compiler

Compiled 309 to 257 computations (16.8% saved)

bsearch7.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	-11123.08328693329	-8.375773410067054e-7

Samples

2.0ms

64×

valid

Compiler

Compiled 279 to 237 computations (15.1% saved)

Precisions

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

ival-div: 1.0ms (74.6% of total)

ival-expm1: 1.0ms (74.6% of total)

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

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

bsearch14.0ms (0.2%)

Memory

-4.8MiB live, 35.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.00020742192991392546	417.815526348987

Samples

7.0ms

144×

valid

Compiler

Compiled 288 to 241 computations (16.3% saved)

Precisions

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

ival-expm1: 2.0ms (70.3% of total)

ival-div: 1.0ms (35.2% of total)

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

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

bsearch10.0ms (0.1%)

Memory

-13.8MiB live, 25.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.00020742192991392546	417.815526348987

Samples

5.0ms

96×

valid

Compiler

Compiled 279 to 232 computations (16.8% saved)

Precisions

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

ival-expm1: 2.0ms (68.2% of total)

ival-div: 1.0ms (34.1% of total)

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

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

simplify27.0ms (0.3%)

Memory

5.6MiB live, 83.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	397
1	109	397
2	119	397
3	128	397
4	130	397

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x))) x) (/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 x x)))) x))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 3039929748475085/2251799813685248 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Outputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x))) x) (/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) x))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x))
(if (<=.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 3039929748475085/2251799813685248 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

soundness2.5s (31.8%)

Memory

10.1MiB live, 1 095.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	746
1	128	742
2	273	742
3	593	742
4	1448	742
5	4432	742
6	5594	742
7	7037	742
0	8113	550
0	83	1458
1	289	1454
2	770	1446
3	2250	1442
4	6395	1442
0	8188	1169
0	149	2254
1	458	2242
2	1268	2210
3	3782	2194
4	6954	2170
0	8334	1799
0	5	12
0	8	12
1	35	12
2	220	12
3	2299	12
0	8893	8
0	34	218
0	50	218
1	201	216
2	1412	216
0	8286	196
0	26	184
1	81	184
2	173	184
3	391	184
4	623	184
5	769	184
6	797	184
7	845	184
8	899	184
9	1593	184
10	4100	184
11	5151	184
12	5377	184
13	5511	184
14	5626	184
15	5632	184
16	5903	184
17	5903	184
18	6087	184
19	6158	184
20	6158	184
21	6366	184
22	6447	184
23	6447	184
0	6447	135

Stop Event

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

Compiler

Compiled 919 to 408 computations (55.6% saved)

preprocess71.0ms (0.9%)

Memory: -5.0MiB live, 192.4MiB allocated
Compiler: Compiled 850 to 220 computations (74.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze1.0ms (0%)

sample766.0ms (9.7%)

explain99.0ms (1.2%)

preprocess45.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify24.0ms (0.3%)

localize16.0ms (0.2%)

series3.0ms (0%)

simplify325.0ms (4.1%)

rewrite266.0ms (3.4%)

eval132.0ms (1.7%)

prune12.0ms (0.2%)

simplify98.0ms (1.2%)

localize86.0ms (1.1%)

series43.0ms (0.5%)

simplify139.0ms (1.8%)

rewrite266.0ms (3.4%)

eval186.0ms (2.4%)

prune42.0ms (0.5%)

simplify299.0ms (3.8%)

localize152.0ms (1.9%)

series48.0ms (0.6%)

simplify198.0ms (2.5%)

rewrite198.0ms (2.5%)

eval112.0ms (1.4%)

prune90.0ms (1.1%)

simplify131.0ms (1.7%)

localize114.0ms (1.4%)

series28.0ms (0.4%)

simplify195.0ms (2.5%)

rewrite327.0ms (4.1%)

eval443.0ms (5.6%)

prune163.0ms (2.1%)

regimes50.0ms (0.6%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

regimes33.0ms (0.4%)

regimes8.0ms (0.1%)

regimes29.0ms (0.4%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes16.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

bsearch7.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch10.0ms (0.1%)

simplify27.0ms (0.3%)

soundness2.5s (31.8%)

preprocess71.0ms (0.9%)

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