Metrics for Logistic function from Lakshay Garg

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.7s (21%)

Memory

11.2MiB live, 2 624.9MiB allocated

Samples

548.0ms	1 577×	2	valid
431.0ms	2 420×	1	valid
375.0ms	4 259×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 978.0ms

ival-exp: 419.0ms (42.9% of total)

ival-sub: 143.0ms (14.6% of total)

ival-div: 128.0ms (13.1% of total)

ival-add: 102.0ms (10.4% of total)

adjust: 97.0ms (9.9% of total)

ival-mult: 68.0ms (7% of total)

exact: 11.0ms (1.1% of total)

ival-true: 7.0ms (0.7% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain161.0ms (2%)

Memory

14.7MiB live, 252.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
135	0	-	-	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
0	1	(-58.92527151591797 6.19420735258005e-96)	-	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 #s(literal -2 binary64) x)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
0	0	-	-	`#s(literal -2 binary64)`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`	cancellation	135	0
`exp.f64`	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	135	0
-	1	120

Precision

0.9926470588235294

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	0	0
-	1	0	120

Precision?

0.9926470588235294

Recall?

1.0

Freqs

test

number	freq
0	120
1	136

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms	108×	2	valid
28.0ms	152×	1	valid
17.0ms	252×	0	valid

Compiler

Compiled 119 to 44 computations (63% saved)

Precisions

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

ival-exp: 24.0ms (42.7% of total)

ival-sub: 9.0ms (16% of total)

ival-div: 7.0ms (12.4% of total)

adjust: 6.0ms (10.7% of total)

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

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

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

exact: 1.0ms (1.8% of total)

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

preprocess28.0ms (0.4%)

Memory

-15.0MiB live, 22.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.8%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Compiler

Compiled 10 to 10 computations (0% saved)

simplify3.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	23	35
2	26	35
0	26	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize187.0ms (2.3%)

Memory

-162.5MiB live, 84.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	0.01171875	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy	30.848285473751403	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Samples

157.0ms	54×	2	valid
13.0ms	76×	1	valid
9.0ms	126×	0	valid

Compiler

Compiled 72 to 22 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-mult: 141.0ms (85.2% of total)

ival-exp: 12.0ms (7.3% of total)

adjust: 3.0ms (1.8% of total)

ival-div: 3.0ms (1.8% of total)

ival-add: 2.0ms (1.2% of total)

ival-sub: 2.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))
2.0ms	x	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))
1.0ms	x	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify200.0ms (2.5%)

Memory

-11.7MiB live, 191.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	394
1	119	394
2	234	384
3	604	384
4	1200	384
5	1777	384
6	2034	384
7	2609	384
8	3678	384
9	5741	384
10	6674	384
11	7080	384
12	7222	384
13	7282	384
14	7322	384
0	8037	363

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))

Outputs
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
#s(literal 2 binary64)
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
#s(literal 1 binary64)
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))

rewrite129.0ms (1.6%)

Memory

0.2MiB live, 155.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
0	14	31
1	53	31
2	371	31
3	5969	31
0	8136	31

Stop Event

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

Counts

5 → 305

Calls

Call 1

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

Outputs
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eval94.0ms (1.2%)

Memory: -14.5MiB live, 60.5MiB allocated
Compiler: Compiled 8 591 to 1 126 computations (86.9% saved)

prune11.0ms (0.1%)

Memory

30.1MiB live, 30.1MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	357	7	364
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	357	8	365

Accuracy

100.0%

Counts

365 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.2%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
✓	51.8%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	22.0%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	21.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	21.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	7.0%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
▶	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	53.1%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Compiler

Compiled 228 to 206 computations (9.6% saved)

simplify14.0ms (0.2%)

Memory

-34.1MiB live, 11.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	193
0	43	193
1	67	193
2	88	193
3	109	193
4	114	193
5	122	193
6	124	193
7	164	193
8	169	193
9	171	193
10	173	193
11	180	193
12	180	193
0	180	193

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize91.0ms (1.1%)

Memory

18.2MiB live, 93.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
accuracy	0.01171875	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
accuracy	23.134257695639622	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
accuracy	30.848285473751403	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0	(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
accuracy	0.01171875	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
accuracy	29.536204223805985	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
accuracy	30.848285473751403	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	28.997839709895104	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
accuracy	30.848285473751403	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	26.934282757406418	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
accuracy	30.848285473751403	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.04296875	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
accuracy	30.019219669343443	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Samples

27.0ms	54×	2	valid
25.0ms	76×	1	valid
22.0ms	126×	0	valid

Compiler

Compiled 335 to 55 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-exp: 11.0ms (20.6% of total)

adjust: 10.0ms (18.7% of total)

ival-add: 8.0ms (15% of total)

ival-mult: 7.0ms (13.1% of total)

const: 5.0ms (9.4% of total)

ival-pow: 4.0ms (7.5% of total)

ival-div: 3.0ms (5.6% of total)

ival-sub: 2.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (pow x 3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (+ (* 2 x) -2))
2.0ms	x	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (pow x 3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (+ (* 2 x) -2))
1.0ms	x	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (pow x 3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (+ (* 2 x) -2))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify132.0ms (1.6%)

Memory

-15.8MiB live, 99.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1516
1	198	1452
2	487	1448
3	1495	1448
4	3608	1448
5	6379	1448
0	8115	1352

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 196

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
2
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(+ 2 (* -2 x))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* 2 x) 2)))
-2
(- (* 2 x) 2)
(- (* 2 x) 2)
(- (* 2 x) 2)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* 2 x)
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* 2 x)
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))

Outputs
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 x #s(literal 1 binary64)))
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 x #s(literal 1 binary64)))
#s(literal 2 binary64)
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 x #s(literal 1 binary64)))
#s(literal 2 binary64)
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
#s(literal -2 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))

rewrite187.0ms (2.3%)

Memory

-8.3MiB live, 154.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	179
0	43	179
1	210	179
2	1613	179
0	8226	179

Stop Event

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

Counts

17 → 329

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval62.0ms (0.8%)

Memory: 12.3MiB live, 86.4MiB allocated
Compiler: Compiled 14 853 to 1 255 computations (91.6% saved)

prune24.0ms (0.3%)

Memory

10.6MiB live, 56.3MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	517	8	525
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	518	15	533

Accuracy

100.0%

Counts

533 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.2%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
✓	51.8%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	22.0%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	21.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	21.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	18.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
	18.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
▶	18.0%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
▶	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
▶	5.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
✓	7.0%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
✓	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	53.1%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Compiler

Compiled 511 to 408 computations (20.2% saved)

simplify215.0ms (2.7%)

Memory

-9.4MiB live, 215.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
cost-diff	320	(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
cost-diff	320	(-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
cost-diff	1984	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
cost-diff	128	(-.f64 (*.f64 x x) #s(literal 1 binary64))
cost-diff	1088	(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
cost-diff	-5824	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
cost-diff	0	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	373
0	66	333
1	118	325
2	256	301
3	775	289
4	2858	289
0	8243	282

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/3 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
#s(literal -4/3 binary64)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
x
(.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))
(*.f64 x x)
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

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

localize178.0ms (2.2%)

Memory

14.8MiB live, 168.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.046875	(.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))
accuracy	21.773386664531486	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
accuracy	28.997839709895104	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy	30.848285473751403	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
accuracy	0.1640625	(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
accuracy	20.99166519166279	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
accuracy	30.848285473751403	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	15.62507860000689	(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	28.997839709895104	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy	30.848285473751403	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
accuracy	29.536204223805985	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
accuracy	30.848285473751403	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
accuracy	33.166638425295986	#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.04296875	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
accuracy	0.1015625	(.f64 (.f64 x x) x)
accuracy	30.019219669343443	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Samples

74.0ms	76×	1	valid
43.0ms	54×	2	valid
31.0ms	126×	0	valid

Compiler

Compiled 615 to 79 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 20.0ms (23.7% of total)

ival-exp: 19.0ms (22.5% of total)

adjust: 12.0ms (14.2% of total)

const: 9.0ms (10.7% of total)

ival-sub: 8.0ms (9.5% of total)

ival-add: 8.0ms (9.5% of total)

ival-div: 7.0ms (8.3% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.6%)

Memory

-7.6MiB live, 30.3MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

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

3.0ms

inf

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

simplify178.0ms (2.2%)

Memory

11.9MiB live, 173.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	2056
1	439	1963
2	1319	1956
3	3556	1924
0	8073	1792

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 290

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
2
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(+ 2 (* -2 x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* -1 x) 1)))
(+ 1 (* x (- (* x (- x 1)) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
1
(+ 1 (* -2 x))
(+ 1 (* x (- x 2)))
(+ 1 (* x (- x 2)))
2
(+ 2 (* -4/3 x))
(+ 2 (* -4/3 x))
(+ 2 (* -4/3 x))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* -1 x)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 x)))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* x (- (* 2 (/ 1 x)) 4/3))
(* x (- (* 2 (/ 1 x)) 4/3))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 x) 1))
(* (pow x 3) (- (/ 1 x) 1))
(* (pow x 3) (- (/ 1 x) 1))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(* -4/3 (pow x 3))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)) 1)))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(* -4/3 x)
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))

Outputs
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 x #s(literal -1 binary64)))
#s(literal 2 binary64)
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 x #s(literal -1 binary64)))
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 x #s(literal -1 binary64)))
#s(literal 2 binary64)
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
#s(literal -2 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 x x)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
x
(-.f64 x #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
(*.f64 x x)
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
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x
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(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)
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(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
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(fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
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(*.f64 #s(literal -4/3 binary64) x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
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(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
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(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) x)
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(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
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(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(*.f64 x x)
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(*.f64 x x)
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
x
(-.f64 x #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
(*.f64 x x)
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
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(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
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(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
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(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
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(.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)
(.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (.f64 x x))
x
(-.f64 x #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x x)
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(fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(*.f64 #s(literal -4/3 binary64) x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(.f64 #s(literal -4/3 binary64) (.f64 x x))
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
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(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) x)
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(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) x)

rewrite193.0ms (2.4%)

Memory

15.2MiB live, 259.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	343
0	66	319
1	312	293
2	2561	293
0	8670	288

Stop Event

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

Counts

25 → 612

Calls

Call 1

Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 x x)
(.f64 (.f64 x x) x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
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(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))

Outputs
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eval128.0ms (1.6%)

Memory: -5.8MiB live, 216.3MiB allocated
Compiler: Compiled 32 666 to 3 137 computations (90.4% saved)

prune137.0ms (1.7%)

Memory

-9.4MiB live, 115.2MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	933	13	946
Fresh	2	3	5
Picked	3	2	5
Done	2	3	5
Total	940	21	961

Accuracy

100.0%

Counts

961 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.2%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
✓	51.8%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	22.0%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	18.3%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
▶	18.6%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
	18.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
	5.7%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x))) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	5.7%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
▶	5.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	4.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal -1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	2.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) #s(approx ( (- 1 x) (- 1 x)) (*.f64 x x)))) #s(literal 1 binary64))
	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
▶	21.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
▶	3.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	20.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	7.0%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
✓	7.0%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
✓	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	53.1%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Compiler

Compiled 1 092 to 729 computations (33.2% saved)

simplify166.0ms (2.1%)

Memory

17.0MiB live, 211.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))
cost-diff	576	(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
cost-diff	2112	(/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
cost-diff	6848	(-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x x))))
cost-diff	0	#s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (* x x) 1) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(literal -4 binary64) x)
cost-diff	0	(expm1.f64 (*.f64 #s(literal -4 binary64) x))
cost-diff	0	(/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) x)))
cost-diff	0	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	664
0	101	647
1	201	612
2	543	541
3	3613	512
0	8787	503

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) x)))
#s(literal 2 binary64)
(expm1.f64 (*.f64 #s(literal -4 binary64) x))
(*.f64 #s(literal -4 binary64) x)
#s(literal -4 binary64)
x
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal -1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
#s(literal -4/3 binary64)
x
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x x))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))
(neg.f64 (+.f64 x #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)

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

localize314.0ms (3.9%)

Memory

-3.5MiB live, 368.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	12.908448670525855	(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
accuracy	13.75769897066134	(-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x x))))
accuracy	18.72135946220265	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy	30.848285473751403	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
accuracy	12.908448670525855	(/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
accuracy	18.72135946220265	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy	30.848285473751403	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
accuracy	32.7835128649145	#s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x))
accuracy	0.1015625	(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
accuracy	19.573273622415936	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))
accuracy	30.848285473751403	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
accuracy	32.770807518732354	#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))
accuracy	10.032762838712754	(/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	18.72135946220265	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy	19.708526333720783	#s(approx (- (* x x) 1) #s(literal -1 binary64))
accuracy	30.848285473751403	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
accuracy	0	(expm1.f64 (*.f64 x #s(literal -2 binary64)))
accuracy	0	(expm1.f64 (*.f64 #s(literal -4 binary64) x))
accuracy	0.015625	(/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) x)))
accuracy	31.607398916587304	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))

Samples

90.0ms	54×	2	valid
86.0ms	76×	1	valid
46.0ms	84×	0	valid
19.0ms	42×	0	exit

Compiler

Compiled 1 091 to 121 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-expm1: 51.0ms (28% of total)

ival-mult: 51.0ms (28% of total)

adjust: 21.0ms (11.5% of total)

ival-div: 16.0ms (8.8% of total)

ival-add: 14.0ms (7.7% of total)

ival-sub: 12.0ms (6.6% of total)

ival-exp: 11.0ms (6% of total)

const: 4.0ms (2.2% of total)

ival-neg: 2.0ms (1.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series41.0ms (0.5%)

Memory

5.7MiB live, 43.3MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (expm1.f64 (*.f64 #s(literal -4 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal -4 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* x x) 1) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (expm1.f64 (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

inf

((+ (* (/ 2 (- (exp (* -4 x)) 1)) (- (exp (* x -2)) 1)) -1) (/ 2 (- (exp (* -4 x)) 1)) (- (exp (* -4 x)) 1) (* -4 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (/ (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (* (- 1 x) (- 1 x))) (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) (/ (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) (* (- 1 x) (- 1 x))) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x))) (- (exp (* x -2)) 1) (+ (* -4/3 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))))

5.0ms

-inf

((+ (* (/ 2 (- (exp (* -4 x)) 1)) (- (exp (* x -2)) 1)) -1) (/ 2 (- (exp (* -4 x)) 1)) (- (exp (* -4 x)) 1) (* -4 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (/ (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (* (- 1 x) (- 1 x))) (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) (/ (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) (* (- 1 x) (- 1 x))) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x))) (- (exp (* x -2)) 1) (+ (* -4/3 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))))

3.0ms

((+ (* (/ 2 (- (exp (* -4 x)) 1)) (- (exp (* x -2)) 1)) -1) (/ 2 (- (exp (* -4 x)) 1)) (- (exp (* -4 x)) 1) (* -4 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (/ (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (* (- 1 x) (- 1 x))) (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) (/ (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) (* (- 1 x) (- 1 x))) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x))) (- (exp (* x -2)) 1) (+ (* -4/3 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))))

simplify171.0ms (2.1%)

Memory

-22.1MiB live, 133.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	2268
1	623	2191
2	1766	2167
3	4508	2127
0	8317	1930

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 277

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ -1/2 x)
(/ (- (* -1 x) 1/2) x)
(/ (- (* x (- (* -2/3 x) 1)) 1/2) x)
(/ (- (* x (- (* x (- (* 8/45 (pow x 2)) 2/3)) 1)) 1/2) x)
(* -4 x)
(* x (- (* 8 x) 4))
(* x (- (* x (+ 8 (* -32/3 x))) 4))
(* x (- (* x (+ 8 (* x (- (* 32/3 x) 32/3)))) 4))
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* -1 x) 1)))
(+ 1 (* x (- (* x (- x 1)) 1)))
-1
(- (* -1 x) 1)
(- (* x (- (* 2 x) 1)) 1)
(- (* x (- (* x (+ 2 (* 2 x))) 1)) 1)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* -1 x) 1)))
(+ 1 (* x (- (* x (- x 1)) 1)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 x) 1))
(* (pow x 2) (- (* x (- x 1)) 1))
(* (pow x 2) (- (* x (- (* x (+ 1 x)) 1)) 1))
(* -2 x)
(* x (- (* 2 x) 2))
(* x (- (* x (+ 2 (* -4/3 x))) 2))
(* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))
2
(+ 2 (* -4/3 x))
(+ 2 (* -4/3 x))
(+ 2 (* -4/3 x))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(/ 2 (- (exp (* -4 x)) 1))
(/ 2 (- (exp (* -4 x)) 1))
(/ 2 (- (exp (* -4 x)) 1))
(/ 2 (- (exp (* -4 x)) 1))
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 x)))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 2)))))
(* -1 (pow x 5))
(* -1 (* (pow x 5) (+ 1 (/ 1 x))))
(* (pow x 5) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x))))
(* (pow x 5) (- (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))) (+ 1 (/ 1 x))))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 x)))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 2)))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 5)
(* (pow x 5) (+ 1 (/ 1 x)))
(* (pow x 5) (- (+ 1 (/ 1 x)) (/ 1 (pow x 2))))
(* (pow x 5) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (/ 1 x))))
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* x (- (* 2 (/ 1 x)) 4/3))
(* x (- (* 2 (/ 1 x)) 4/3))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(/ 2 (- (exp (* -4 x)) 1))
(/ 2 (- (exp (* -4 x)) 1))
(/ 2 (- (exp (* -4 x)) 1))
(/ 2 (- (exp (* -4 x)) 1))
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(* -4/3 (pow x 3))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)) 1)))
(* -1 (pow x 5))
(* -1 (* (pow x 5) (+ 1 (/ 1 x))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x)))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 1) x)))))
(pow x 3)
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)) 1)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 5)
(* (pow x 5) (+ 1 (/ 1 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (- 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) 1)))
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(* -4/3 x)
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))

Outputs
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 #s(literal -1/2 binary64) x) x)
(fma.f64 #s(literal -2/3 binary64) x (/.f64 (-.f64 #s(literal -1/2 binary64) x) x))
(fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 x x) #s(literal -2/3 binary64)) x (/.f64 (-.f64 #s(literal -1/2 binary64) x) x))
(*.f64 #s(literal -4 binary64) x)
(*.f64 (fma.f64 #s(literal 8 binary64) x #s(literal -4 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -32/3 binary64) x #s(literal 8 binary64)) x #s(literal -4 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 32/3 binary64) x #s(literal -32/3 binary64)) x #s(literal 8 binary64)) x #s(literal -4 binary64)) x)
(*.f64 #s(literal -4 binary64) x)
(*.f64 #s(literal -4 binary64) x)
(*.f64 #s(literal -4 binary64) x)
(*.f64 #s(literal -4 binary64) x)
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(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
x
(-.f64 x #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(.f64 (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) (.f64 x x))
(fma.f64 (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) (*.f64 x x) #s(literal 1 binary64))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 x #s(literal 3 binary64))
(.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(.f64 (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) (.f64 x x))
(fma.f64 (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) (*.f64 x x) #s(literal 1 binary64))
x
(-.f64 x #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
(pow.f64 x #s(literal 5 binary64))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(expm1.f64 (*.f64 #s(literal -2 binary64) x))
(expm1.f64 (*.f64 #s(literal -2 binary64) x))
(expm1.f64 (*.f64 #s(literal -2 binary64) x))
(expm1.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -4/3 binary64) x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))

rewrite172.0ms (2.1%)

Memory

21.9MiB live, 251.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	545
0	101	516
1	456	455
2	3795	415
0	9502	407

Stop Event

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

Counts

24 → 726

Calls

Call 1

Inputs
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) x)))
(expm1.f64 (*.f64 #s(literal -4 binary64) x))
(*.f64 #s(literal -4 binary64) x)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x))
(-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Outputs
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eval176.0ms (2.2%)

Memory: 7.1MiB live, 319.4MiB allocated
Compiler: Compiled 45 466 to 3 941 computations (91.3% saved)

prune51.0ms (0.6%)

Memory

24.4MiB live, 107.7MiB allocated

Pruning

26 alts after pruning (17 fresh and 9 done)

	Pruned	Kept	Total
New	995	8	1 003
Fresh	2	9	11
Picked	1	4	5
Done	0	5	5
Total	998	26	1 024

Accuracy

100.0%

Counts

1 024 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.2%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
✓	51.8%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	22.0%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	18.3%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
✓	18.6%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
	18.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
	18.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
	5.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) (.f64 (-.f64 #s(literal -1 binary64) x) x)) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	5.7%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x))) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	5.7%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	5.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	20.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 #s(approx (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) #s(literal -1 binary64)) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	5.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x))) (-.f64 #s(literal -1 binary64) x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	4.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal -1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	2.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) #s(approx ( (- 1 x) (- 1 x)) (*.f64 x x)))) #s(literal 1 binary64))
	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
	3.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	20.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
✓	21.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
✓	3.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	7.0%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
✓	7.0%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
✓	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	53.1%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Compiler

Compiled 1 988 to 805 computations (59.5% saved)

regimes83.0ms (1%)

Memory

-34.4MiB live, 121.9MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) #s(approx ( (- 1 x) (- 1 x)) (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 #s(approx (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) #s(literal -1 binary64)) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x))) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal -1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) (.f64 (-.f64 #s(literal -1 binary64) x) x)) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x))) (-.f64 #s(literal -1 binary64) x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))

Outputs

(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) x))) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

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

Calls

7 calls:

15.0ms	y
12.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
10.0ms	(*.f64 #s(literal -2 binary64) x)
10.0ms	x
8.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
64.7%	6	`y`
100.0%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
100.0%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
100.0%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
100.0%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes81.0ms (1%)

Memory

18.7MiB live, 92.8MiB allocated

Counts

36 → 3

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) #s(approx ( (- 1 x) (- 1 x)) (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 #s(approx (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) #s(literal -1 binary64)) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x))) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal -1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) (.f64 (-.f64 #s(literal -1 binary64) x) x)) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x))) (-.f64 #s(literal -1 binary64) x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

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

Calls

6 calls:

30.0ms	x
14.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
10.0ms	(*.f64 #s(literal -2 binary64) x)
8.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
8.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
100.0%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
100.0%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
100.0%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes69.0ms (0.9%)

Memory

4.4MiB live, 88.6MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) #s(approx ( (- 1 x) (- 1 x)) (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 #s(approx (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) #s(literal -1 binary64)) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x))) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal -1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) (.f64 (-.f64 #s(literal -1 binary64) x) x)) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x))) (-.f64 #s(literal -1 binary64) x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

Calls

6 calls:

20.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
11.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
10.0ms	(*.f64 #s(literal -2 binary64) x)
10.0ms	x
8.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

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

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes58.0ms (0.7%)

Memory

-4.4MiB live, 71.1MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) #s(approx ( (- 1 x) (- 1 x)) (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))

Outputs

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

Calls

6 calls:

23.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
9.0ms	(*.f64 #s(literal -2 binary64) x)
7.0ms	x
6.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
6.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
69.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
69.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
69.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
69.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
69.9%	2	`(*.f64 #s(literal -2 binary64) x)`
69.9%	2	`x`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes50.0ms (0.6%)

Memory

-53.2MiB live, 38.0MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))

Outputs

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

Calls

6 calls:

24.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
5.0ms	(*.f64 #s(literal -2 binary64) x)
5.0ms	x
4.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
4.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
69.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
69.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
69.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
69.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
69.9%	2	`(*.f64 #s(literal -2 binary64) x)`
69.9%	2	`x`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes30.0ms (0.4%)

Memory

8.3MiB live, 45.6MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))

Outputs

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

Calls

6 calls:

6.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
5.0ms	(*.f64 #s(literal -2 binary64) x)
5.0ms	x
4.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
4.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
69.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
69.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
69.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
69.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
69.9%	2	`(*.f64 #s(literal -2 binary64) x)`
69.9%	2	`x`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes29.0ms (0.4%)

Memory

8.6MiB live, 45.5MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))

Outputs

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

Calls

6 calls:

7.0ms	(*.f64 #s(literal -2 binary64) x)
5.0ms	x
4.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
4.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
4.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
69.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
69.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
69.9%	2	`(*.f64 #s(literal -2 binary64) x)`
69.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
69.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
69.9%	2	`x`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes30.0ms (0.4%)

Memory

-25.1MiB live, 60.0MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (/ (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) (* (neg (+ x 1)) (+ x 1))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

Calls

6 calls:

6.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
6.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
5.0ms	x
5.0ms	(*.f64 #s(literal -2 binary64) x)
4.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
69.8%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
69.8%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
69.8%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
69.8%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
69.8%	2	`(*.f64 #s(literal -2 binary64) x)`
69.8%	2	`x`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes19.0ms (0.2%)

Memory

31.2MiB live, 31.2MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

Calls

6 calls:

4.0ms	(*.f64 #s(literal -2 binary64) x)
3.0ms	x
3.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
3.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
69.8%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
69.8%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
69.8%	2	`(*.f64 #s(literal -2 binary64) x)`
69.8%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
69.8%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
69.8%	2	`x`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes35.0ms (0.4%)

Memory

-10.5MiB live, 27.5MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

Calls

6 calls:

22.0ms	(*.f64 #s(literal -2 binary64) x)
3.0ms	x
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
2.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
2.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
69.7%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
69.7%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
69.7%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
69.7%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
69.7%	2	`(*.f64 #s(literal -2 binary64) x)`
69.7%	2	`x`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes19.0ms (0.2%)

Memory

-10.6MiB live, 27.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

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

Calls

7 calls:

8.0ms	y
2.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
53.1%	1	`y`
53.1%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
53.1%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
53.1%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
53.1%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
53.1%	1	`(*.f64 #s(literal -2 binary64) x)`
53.1%	1	`x`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes11.0ms (0.1%)

Memory

26.1MiB live, 26.1MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	x
2.0ms	y
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
7.0%	1	`x`
7.0%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
7.0%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
7.0%	1	`y`
7.0%	1	`(*.f64 #s(literal -2 binary64) x)`
7.0%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
7.0%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes31.0ms (0.4%)

Memory

-21.2MiB live, 16.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

23.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms	(*.f64 #s(literal -2 binary64) x)
1.0ms	y
1.0ms	x
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
4.3%	1	`x`
4.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
4.3%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
4.3%	1	`y`
4.3%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
4.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
4.3%	1	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.813108952775886e-6	117.85054303183594
0.0ms	-22.090760656439787	-4.6148857379204965e-9

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.813108952775886e-6	117.85054303183594
0.0ms	-22.090760656439787	-4.6148857379204965e-9

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch22.0ms (0.3%)

Memory

-2.0MiB live, 38.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-58.92527151591797	-4.906554476387943e-6

Samples

9.0ms

144×

valid

Compiler

Compiled 670 to 447 computations (33.3% saved)

Precisions

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

ival-exp: 2.0ms (35.8% of total)

ival-div: 1.0ms (17.9% of total)

ival-sub: 1.0ms (17.9% of total)

ival-add: 1.0ms (17.9% of total)

ival-mult: 1.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-58.92527151591797	-4.906554476387943e-6

Samples

7.0ms

112×

valid

Compiler

Compiled 373 to 321 computations (13.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (23% of total)

ival-sub: 1.0ms (23% of total)

ival-exp: 1.0ms (23% of total)

ival-add: 1.0ms (23% of total)

ival-mult: 1.0ms (23% of total)

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

exact: 0.0ms (0% of total)

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

bsearch9.0ms (0.1%)

Memory

-25.8MiB live, 11.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	-58.92527151591797	-4.906554476387943e-6

Samples

5.0ms

48×

valid

Compiler

Compiled 490 to 402 computations (18% saved)

Precisions

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

ival-exp: 1.0ms (54.7% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch5.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-58.92527151591797	-4.906554476387943e-6

Samples

2.0ms

32×

valid

Compiler

Compiled 481 to 393 computations (18.3% saved)

Precisions

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-58.92527151591797	-4.906554476387943e-6

Compiler

Compiled 526 to 402 computations (23.6% saved)

bsearch5.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	-58.92527151591797	-4.906554476387943e-6

Samples

2.0ms

32×

valid

Compiler

Compiled 490 to 357 computations (27.1% saved)

Precisions

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch7.0ms (0.1%)

Memory

-29.4MiB live, 5.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-58.92527151591797	-4.906554476387943e-6

Samples

5.0ms

16×

valid

Compiler

Compiled 418 to 348 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 4.0ms (89.6% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	-58.92527151591797	-4.906554476387943e-6

Samples

1.0ms

16×

valid

Compiler

Compiled 382 to 330 computations (13.6% saved)

Precisions

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify51.0ms (0.6%)

Memory

16.6MiB live, 105.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	595
1	175	595
2	200	594
3	224	594
4	234	594
5	244	594
6	253	594
7	267	594
8	343	594
9	499	594
10	665	594
11	827	594
12	919	594
13	969	594
14	973	594

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -20 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -20 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -3/2 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 #s(approx (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) #s(literal -1 binary64)) (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -5404319552844595/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -6530219459687219/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -3512807709348987/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal -20 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal -20 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -3/2 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 #s(approx (- (* (+ (* x x) -1) (+ x 1)) (* (neg (+ x 1)) (* (- 1 (* x x)) (* x x)))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -5404319552844595/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -6530219459687219/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -3512807709348987/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

soundness2.0s (25.3%)

Memory

1.0MiB live, 1 229.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	2056
1	439	1963
2	1319	1956
3	3556	1924
0	8073	1792
0	230	2268
1	623	2191
2	1766	2167
3	4508	2127
0	8317	1930
0	9	31
0	14	31
1	53	31
2	371	31
3	5969	31
0	8136	31
0	76	1516
1	198	1452
2	487	1448
3	1495	1448
4	3608	1448
5	6379	1448
0	8115	1352
0	40	343
0	66	319
1	312	293
2	2561	293
0	8670	288
0	49	394
1	119	394
2	234	384
3	604	384
4	1200	384
5	1777	384
6	2034	384
7	2609	384
8	3678	384
9	5741	384
10	6674	384
11	7080	384
12	7222	384
13	7282	384
14	7322	384
0	8037	363
0	28	179
0	43	179
1	210	179
2	1613	179
0	8226	179

Stop Event

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

Compiler

Compiled 1 086 to 576 computations (47% saved)

preprocess146.0ms (1.8%)

Memory: 0.4MiB live, 158.6MiB allocated
Remove: (abs y)
Compiler: Compiled 1 314 to 376 computations (71.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

Iter	Nodes	Cost
0	28	193
0	43	193
1	67	193
2	88	193
3	109	193
4	114	193
5	122	193
6	124	193
7	164	193
8	169	193
9	171	193
10	173	193
11	180	193
12	180	193
0	180	193

Iter	Nodes	Cost
0	138	595
1	175	595
2	200	594
3	224	594
4	234	594
5	244	594
6	253	594
7	267	594
8	343	594
9	499	594
10	665	594
11	827	594
12	919	594
13	969	594
14	973	594

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

Iter	Nodes	Cost
0	28	193
0	43	193
1	67	193
2	88	193
3	109	193
4	114	193
5	122	193
6	124	193
7	164	193
8	169	193
9	171	193
10	173	193
11	180	193
12	180	193
0	180	193

Iter	Nodes	Cost
0	138	595
1	175	595
2	200	594
3	224	594
4	234	594
5	244	594
6	253	594
7	267	594
8	343	594
9	499	594
10	665	594
11	827	594
12	919	594
13	969	594
14	973	594

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (21%)

explain161.0ms (2%)

preprocess28.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize187.0ms (2.3%)

series7.0ms (0.1%)

simplify200.0ms (2.5%)

rewrite129.0ms (1.6%)

eval94.0ms (1.2%)

prune11.0ms (0.1%)

simplify14.0ms (0.2%)

localize91.0ms (1.1%)

series13.0ms (0.2%)

simplify132.0ms (1.6%)

rewrite187.0ms (2.3%)

eval62.0ms (0.8%)

prune24.0ms (0.3%)

simplify215.0ms (2.7%)

localize178.0ms (2.2%)

series47.0ms (0.6%)

simplify178.0ms (2.2%)

rewrite193.0ms (2.4%)

eval128.0ms (1.6%)

prune137.0ms (1.7%)

simplify166.0ms (2.1%)

localize314.0ms (3.9%)

series41.0ms (0.5%)

simplify171.0ms (2.1%)

rewrite172.0ms (2.1%)

eval176.0ms (2.2%)

prune51.0ms (0.6%)

regimes83.0ms (1%)

regimes81.0ms (1%)

regimes69.0ms (0.9%)

regimes58.0ms (0.7%)

regimes50.0ms (0.6%)

regimes30.0ms (0.4%)

regimes29.0ms (0.4%)

regimes30.0ms (0.4%)

regimes19.0ms (0.2%)

regimes35.0ms (0.4%)

regimes19.0ms (0.2%)

regimes11.0ms (0.1%)

regimes31.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch22.0ms (0.3%)

bsearch14.0ms (0.2%)

bsearch9.0ms (0.1%)

bsearch5.0ms (0.1%)

bsearch2.0ms (0%)

bsearch5.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch3.0ms (0%)

simplify51.0ms (0.6%)

soundness2.0s (25.3%)

preprocess146.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

Iter	Nodes	Cost
0	28	193
0	43	193
1	67	193
2	88	193
3	109	193
4	114	193
5	122	193
6	124	193
7	164	193
8	169	193
9	171	193
10	173	193
11	180	193
12	180	193
0	180	193

Iter	Nodes	Cost
0	138	595
1	175	595
2	200	594
3	224	594
4	234	594
5	244	594
6	253	594
7	267	594
8	343	594
9	499	594
10	665	594
11	827	594
12	919	594
13	969	594
14	973	594