Metrics for Logistic function from Lakshay Garg

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.9s (17%)

Memory

-510.2MiB live, 2 835.8MiB allocated

Samples

498.0ms	1 548×	2	valid
466.0ms	2 408×	1	valid
360.0ms	4 300×	0	valid

Precisions

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

ival-exp: 450.0ms (43.4% of total)

ival-div: 157.0ms (15.2% of total)

adjust: 147.0ms (14.2% of total)

ival-mult: 113.0ms (10.9% of total)

ival-add: 75.0ms (7.2% of total)

ival-sub: 73.0ms (7% of total)

exact: 10.0ms (1% of total)

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

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

Bogosity

explain223.0ms (2%)

Memory

-20.8MiB live, 300.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
124	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	(-267.6444407324682 -6.055900497247332e+208)	-	`(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	124	0
`exp.f64`	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	124	0
-	1	131

Precision

0.992

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	124	0	0
-	1	1	130

Precision?

0.9841269841269841

Recall?

1.0

Freqs

test

number	freq
0	131
1	125

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms	92×	2	valid
23.0ms	146×	1	valid
20.0ms	274×	0	valid

Compiler

Compiled 86 to 34 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-exp: 22.0ms (43% of total)

ival-div: 6.0ms (11.7% of total)

ival-mult: 6.0ms (11.7% of total)

adjust: 5.0ms (9.8% of total)

ival-add: 5.0ms (9.8% of total)

ival-sub: 5.0ms (9.8% of total)

exact: 1.0ms (2% of total)

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

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

preprocess32.0ms (0.3%)

Memory

24.7MiB live, 61.5MiB allocated

Algorithm

1×	egg-herbie

Rules

96×	`sub-neg`
56×	`exp-prod`
56×	`+-commutative`
32×	`associate-+l-`
32×	`div-sub`

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

Symmetry

(abs y)

Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.4%	(-.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 12 to 10 computations (16.7% saved)

simplify4.0ms (0%)

Memory

12.7MiB live, 12.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 (*.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))

Rules

8×	`lower-+.f32`
6×	`lower-+.f64`
6×	`lower-exp.f32`
4×	`exp-prod`
4×	`lower-pow.f64`

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

localize49.0ms (0.4%)

Memory

5.4MiB live, 77.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.00390625	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	28.51957226968522	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Samples

16.0ms	73×	1	valid
14.0ms	46×	2	valid
9.0ms	137×	0	valid

Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-exp: 12.0ms (44% of total)

ival-sub: 5.0ms (18.3% of total)

adjust: 3.0ms (11% of total)

ival-div: 3.0ms (11% of total)

ival-add: 2.0ms (7.3% of total)

ival-mult: 2.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory

-38.4MiB live, 6.2MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (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 (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (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 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (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 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (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 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (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 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (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 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (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 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (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 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (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 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (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 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (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 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (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 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -2 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 x)) (taylor 0 x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) (taylor 0 x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -2 x)) (taylor inf x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -2 x)) (taylor inf x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -2 x)) (taylor inf x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -2 x)) (taylor inf x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -2 x)) (taylor -inf x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -2 x)) (taylor -inf x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -2 x)) (taylor -inf x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -2 x)) (taylor -inf x) (#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())

Calls

12 calls:

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

simplify319.0ms (2.9%)

Memory

38.3MiB live, 308.9MiB allocated

Algorithm

1×	egg-herbie

Rules

15 342×	`lower-fma.f64`
15 342×	`lower-fma.f32`
3 260×	`lower-*.f64`
3 260×	`lower-*.f32`
1 930×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	358
1	119	358
2	234	348
3	604	348
4	1194	348
5	1764	348
6	2024	348
7	2599	348
8	3669	348
9	5745	348
10	6685	348
11	7091	348
12	7233	348
13	7295	348
14	7337	348
0	8101	327

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

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

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

rewrite237.0ms (2.1%)

Memory

-10.7MiB live, 360.6MiB allocated

Rules

3 790×	`lower-fma.f64`
3 790×	`lower-fma.f32`
3 628×	`lower-*.f32`
3 626×	`lower-*.f64`
2 806×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	14	28
1	53	28
2	371	28
3	5969	28
0	8136	28

Stop Event

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

Counts

4 → 282

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

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

eval42.0ms (0.4%)

Memory: -17.3MiB live, 90.2MiB allocated
Compiler: Compiled 7 847 to 983 computations (87.5% saved)

prune68.0ms (0.6%)

Memory

11.1MiB live, 126.7MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	315	14	329
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	315	15	330

Accuracy

100.0%

Counts

330 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.5%	(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64))))
	55.4%	(/.f64 #s(literal 1 binary64) (/.f64 #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))))
	55.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) #s(literal 1 binary64))
✓	55.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	26.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
	25.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
	25.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
	6.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	4.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
	6.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	4.2%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	55.5%	(expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
▶	49.3%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
▶	50.7%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
	49.0%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))

Compiler

Compiled 448 to 282 computations (37.1% saved)

simplify82.0ms (0.7%)

Memory

8.8MiB live, 90.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
cost-diff	0	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
cost-diff	0	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #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	(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)))
cost-diff	128	(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))
cost-diff	192	(.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
cost-diff	12224	(expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))

Rules

1 832×	`lower-fma.f32`
1 818×	`lower-fma.f64`
674×	`lower-*.f32`
664×	`lower-*.f64`
386×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	270
0	62	258
1	118	256
2	228	255
3	503	255
4	1037	255
5	1216	255
6	1239	255
7	1248	255
8	1256	255
9	1263	255
10	1274	255
11	1284	255
12	1284	255
0	1284	249

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 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
#s(literal 1/2 binary64)
#s(literal -1 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)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
#s(literal -17/315 binary64)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))

Outputs
(expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (log.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)))
(log.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 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
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #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)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
#s(literal -17/315 binary64)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))

localize260.0ms (2.3%)

Memory

7.0MiB live, 438.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.033535009768442016	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
accuracy	0.07421875	(.f64 x (.f64 x x))
accuracy	0.2398467522691362	(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
accuracy	19.295643383609317	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
accuracy	0.01953125	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
accuracy	0.0390625	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
accuracy	0.07421875	(.f64 x (.f64 x x))
accuracy	18.78781689927475	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
accuracy	0.0234375	(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0625	(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	19.390826514072835	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	28.51957226968522	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	16.757585932004808	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
accuracy	28.51957226968522	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	0.00390625	(expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
accuracy	28.964781209880073	(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)))

Samples

70.0ms	53×	5	exit
65.0ms	73×	1	valid
50.0ms	46×	2	valid
26.0ms	84×	0	valid

Compiler

Compiled 229 to 37 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

adjust: 33.0ms (19% of total)

ival-mult: 30.0ms (17.3% of total)

ival-log: 29.0ms (16.7% of total)

ival-exp: 21.0ms (12.1% of total)

const: 18.0ms (10.4% of total)

ival-expm1: 18.0ms (10.4% of total)

ival-add: 16.0ms (9.2% of total)

ival-div: 5.0ms (2.9% of total)

ival-sub: 3.0ms (1.7% of total)

exact: 1.0ms (0.6% of total)

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

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

series73.0ms (0.7%)

Memory

26.0MiB live, 103.3MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) (patch (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())
#s(alt (exp.f64 (.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 2/15 (* -17/315 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2/15 (* -17/315 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2/15 (* -17/315 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -17/315 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -17/315 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #<representation binary64>) () ())) ())

Calls

63 calls:

Time	Variable		Point	Expression
33.0ms	x	@	inf	(* (log (* (+ 1 (exp (* -2 x))) 1/2)) -1)
24.0ms	x	@	-inf	(* (log (* (+ 1 (exp (* -2 x))) 1/2)) -1)
1.0ms	x	@	-inf	(- (exp (* (log (* (+ 1 (exp (* -2 x))) 1/2)) -1)) 1)
1.0ms	x	@	0	(* (log (* (+ 1 (exp (* -2 x))) 1/2)) -1)
1.0ms	x	@	-inf	(+ (* x (+ (* -1/3 (* x x)) 1)) 1)

simplify417.0ms (3.7%)

Memory

-19.6MiB live, 353.1MiB allocated

Algorithm

1×	egg-herbie

Rules

20 226×	`lower-fma.f64`
20 226×	`lower-fma.f32`
4 722×	`lower-*.f64`
4 722×	`lower-*.f32`
3 256×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	2116
1	438	2051
2	1144	2045
3	3516	2045
4	7784	2045
0	8153	1900

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 244

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))))
(- (* 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 (+ 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)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -2/3 x))) 1)))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))
(* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -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))))
(- (* 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 (+ 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
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -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))))
(- (* 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 (+ 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
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (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))))
(- (* 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 (+ 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)
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) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow 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))))
(- (* 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 (+ 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)
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))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(+ 2/15 (* -17/315 (pow x 2)))
(+ 2/15 (* -17/315 (pow x 2)))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/45 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(+ 1 (* x (- (* x (+ 1 (* -2/3 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(* 1/2 (+ 1 (exp (* -2 x))))
(fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* -2 x))))
(fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* -2 x))))
(fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* -2 x))))
(fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* -2 x))))
(fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* -2 x))))
(fma.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* -2 x))))
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(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* -17/315 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -17/315 binary64))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x #s(literal 2/15 binary64))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x #s(literal 2/15 binary64))))
(* -17/315 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -17/315 binary64))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x #s(literal 2/15 binary64))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x #s(literal 2/15 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
2/15
#s(literal 2/15 binary64)
(+ 2/15 (* -17/315 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(+ 2/15 (* -17/315 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(+ 2/15 (* -17/315 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))

rewrite792.0ms (7.1%)

Memory

-26.3MiB live, 293.2MiB allocated

Rules

5 724×	`lower-fma.f32`
5 710×	`lower-fma.f64`
4 228×	`lower-*.f32`
4 218×	`lower-*.f64`
3 450×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	240
0	62	230
1	259	227
2	2010	226
0	8455	217

Stop Event

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

Counts

21 → 496

Calls

Call 1

Inputs
(expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 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)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(.f64 x (.f64 x x))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))

Outputs
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 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))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #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) (+.f64 (pow.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (+.f64 #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) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (-.f64 #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))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (-.f64 #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))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (-.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 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))))
(expm1.f64 (neg.f64 (log.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(expm1.f64 (.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) (exp.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 (.f64 #s(literal -2 binary64) x))))) (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/2 binary64)))) #s(literal -1 binary64))
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(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) #s(literal 4/225 binary64)) (.f64 (.f64 x x) #s(literal -34/4725 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64)) (+.f64 #s(literal 4/225 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) (.f64 (*.f64 x x) #s(literal -34/4725 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64)) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) #s(literal 4/225 binary64)) (.f64 (.f64 x x) #s(literal -34/4725 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64))) (neg.f64 (+.f64 #s(literal 4/225 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) (.f64 (*.f64 x x) #s(literal -34/4725 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))
(/.f64 (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64))) (-.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)) #s(literal 4/225 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) #s(literal 4/225 binary64)) (.f64 (.f64 x x) #s(literal -34/4725 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)))) (neg.f64 (-.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4/225 binary64) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (fma.f64 (/.f64 #s(literal 4/225 binary64) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64)) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) #s(literal 4/225 binary64)) (.f64 (.f64 x x) #s(literal -34/4725 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) #s(literal 4/225 binary64)) (.f64 (*.f64 x x) #s(literal -34/4725 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))

eval312.0ms (2.8%)

Memory: 7.3MiB live, 201.6MiB allocated
Compiler: Compiled 23 686 to 2 075 computations (91.2% saved)

prune293.0ms (2.6%)

Memory

21.0MiB live, 259.7MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	856	6	862
Fresh	2	7	9
Picked	1	4	5
Done	0	1	1
Total	859	18	877

Accuracy

100.0%

Counts

877 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.4%	(/.f64 #s(literal 1 binary64) (/.f64 #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))))
▶	55.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) #s(literal 1 binary64))
✓	55.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	26.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
	25.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	25.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
▶	6.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	4.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
	4.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	6.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
	2.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
✓	4.2%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	55.5%	(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
▶	70.6%	(expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)))
	55.5%	(expm1.f64 (neg.f64 (log.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
✓	49.3%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
✓	50.7%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
	49.0%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))

Compiler

Compiled 417 to 280 computations (32.9% saved)

simplify192.0ms (1.7%)

Memory

2.9MiB live, 117.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))
cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) #s(literal 1 binary64))
cost-diff	6144	(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
cost-diff	0	(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x x))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))
cost-diff	0	(expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)))
cost-diff	192	(.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))

Rules

3 722×	`lower-fma.f32`
3 716×	`lower-fma.f64`
1 860×	`unsub-neg`
1 200×	`lower-*.f32`
1 196×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	249
0	60	249
1	107	247
2	208	247
3	430	247
4	576	247
5	692	247
6	1134	247
7	2841	247
8	4004	247
9	4151	247
10	4189	247
11	4189	247
12	4194	247
13	4194	247
14	4200	247
0	4200	237

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))
#s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))
(neg.f64 x)
x
#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))
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(+.f64 x x)
x
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))
#s(literal 1 binary64)
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(exp.f64 #s(literal -2 binary64))
#s(literal -2 binary64)
x

Outputs
(expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)))
(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))
(.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))
(neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))
#s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))
(neg.f64 x)
x
#s(literal -1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(+.f64 x x)
x
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
#s(literal 1 binary64)
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(exp.f64 (-.f64 (neg.f64 x) x))
(exp.f64 #s(literal -2 binary64))
#s(literal -2 binary64)
x

localize444.0ms (4%)

Memory

-21.7MiB live, 658.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))
accuracy	0.046122480164287515	(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
accuracy	28.51957226968522	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) #s(literal 1 binary64))
accuracy	0.03125	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
accuracy	0.0390625	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
accuracy	18.81845299191622	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	28.51957226968522	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0	(+.f64 x x)
accuracy	0.00390625	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))))
accuracy	19.64478783053658	#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
accuracy	28.51957226968522	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	18.803930915002248	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
accuracy	28.51957226968522	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0	(.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))
accuracy	0	(neg.f64 x)
accuracy	0.00390625	(expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)))
accuracy	19.120104313197345	#s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))

Samples

182.0ms	53×	5	exit
100.0ms	46×	2	valid
59.0ms	73×	1	valid
23.0ms	84×	0	valid

Compiler

Compiled 194 to 36 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 323.0ms

ival-pow: 97.0ms (30% of total)

ival-exp: 65.0ms (20.1% of total)

adjust: 44.0ms (13.6% of total)

ival-log: 30.0ms (9.3% of total)

ival-mult: 20.0ms (6.2% of total)

ival-sub: 18.0ms (5.6% of total)

ival-add: 14.0ms (4.3% of total)

ival-expm1: 14.0ms (4.3% of total)

const: 10.0ms (3.1% of total)

ival-div: 9.0ms (2.8% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series13.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) (patch (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))) (patch #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x x)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 #s(literal -2 binary64)) x) (patch (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) (patch (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) #<representation binary64>) () ())
#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) (patch (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) (patch (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2)))) (taylor 0 x) (#s(alt (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) (patch (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2)))) (taylor 0 x) (#s(alt (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) (patch (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x)))))) (taylor inf x) (#s(alt (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) (patch (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x)))))) (taylor inf x) (#s(alt (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) (patch (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x)))))) (taylor inf x) (#s(alt (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) (patch (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x)))))) (taylor inf x) (#s(alt (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) (patch (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x)))))) (taylor -inf x) (#s(alt (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) (patch (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x)))))) (taylor -inf x) (#s(alt (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) (patch (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x)))))) (taylor -inf x) (#s(alt (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) (patch (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x)))))) (taylor -inf x) (#s(alt (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) (patch (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) (patch (expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 x) 1)) (taylor 0 x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1)) (taylor 0 x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1)) (taylor 0 x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* 1/2 (+ 1 (exp (* -2 x))))) (taylor inf x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* 1/2 (+ 1 (exp (* -2 x))))) (taylor inf x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* 1/2 (+ 1 (exp (* -2 x))))) (taylor inf x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* 1/2 (+ 1 (exp (* -2 x))))) (taylor inf x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* 1/2 (+ 1 (exp (* -2 x))))) (taylor -inf x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* 1/2 (+ 1 (exp (* -2 x))))) (taylor -inf x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* 1/2 (+ 1 (exp (* -2 x))))) (taylor -inf x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* 1/2 (+ 1 (exp (* -2 x))))) (taylor -inf x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) (patch (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) (patch (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) (patch (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) (patch (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) (patch (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2/15 (pow x 2)) 1/3) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2/15 (pow x 2)) 1/3) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2/15 (pow x 2)) 1/3) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2/15 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2/15 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(- (/ 2 (+ 1 (pow (exp -2) x))) 1)
0.0ms	x	@	inf	(- (/ 2 (+ 1 (pow (exp -2) x))) 1)
0.0ms	x	@	-inf	(- (/ 2 (+ 1 (pow (exp -2) x))) 1)
0.0ms	x	@	inf	(- 2 (+ x x))
0.0ms	x	@	inf	(/ 2 (+ 1 (pow (exp -2) x)))

simplify254.0ms (2.3%)

Memory

8.4MiB live, 212.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 742×	`lower-fma.f64`
11 742×	`lower-fma.f32`
3 796×	`lower-*.f64`
3 796×	`lower-*.f32`
2 228×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	1937
1	343	1936
2	798	1886
3	2315	1881
4	4907	1881
0	8202	1756

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 244

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -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))))
(- (* 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 (+ 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 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))
(* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
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))))
(- (* 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 (+ 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
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 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))))
(- (* 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 (+ 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
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
2
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 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))))
(- (* 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 (+ 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
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (+ (/ 1 (pow x 4)) (/ 1 (pow x 5)))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 4))) (* 1/3 (/ 1 (pow x 2)))) 2/15)))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -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))))
(- (* 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 (+ 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
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 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)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/45 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
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(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))

rewrite148.0ms (1.3%)

Memory

-8.6MiB live, 149.7MiB allocated

Rules

1 234×	`lower-fma.f32`
1 228×	`lower-fma.f64`
852×	`lower-*.f32`
848×	`lower-*.f64`
758×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	229
0	60	229
1	261	227
0	2095	216

Stop Event

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

Counts

21 → 392

Calls

Call 1

Inputs
(.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))
(expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)))
#s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))
(neg.f64 x)
(-.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 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))))
#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))
(+.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))

Outputs
(neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))
(.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))
(+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #s(literal -1 binary64))
(-.f64 (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))))))
(-.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))))
(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))
(expm1.f64 (.f64 (log.f64 (exp.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))) (expm1.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))) (expm1.f64 (+.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))))
(/.f64 (expm1.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))))
(/.f64 (expm1.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))))
(/.f64 (expm1.f64 (+.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))) (-.f64 (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))))
(.f64 (expm1.f64 (.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))))))
(.f64 (expm1.f64 (+.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))))
#s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
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(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/45 binary64)))) (fma.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal -1/9 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64)) #s(literal -1/27 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64)) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal -2/45 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64))) (-.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/45 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))

eval93.0ms (0.8%)

Memory: 5.6MiB live, 166.2MiB allocated
Compiler: Compiled 11 502 to 1 420 computations (87.7% saved)

prune156.0ms (1.4%)

Memory

-28.2MiB live, 219.5MiB allocated

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	621	15	636
Fresh	3	5	8
Picked	2	3	5
Done	0	5	5
Total	626	28	654

Accuracy

100.0%

Counts

654 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.4%	(/.f64 #s(literal 1 binary64) (/.f64 #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))))
✓	55.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) #s(literal 1 binary64))
✓	55.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	24.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	24.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
	24.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
	24.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	31.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1 binary64))
▶	24.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
	30.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x))))))) #s(literal 1 binary64))
	24.6%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
	22.2%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
▶	6.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
✓	6.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	4.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
	6.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
	6.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
▶	4.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	6.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
	6.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
	2.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
✓	4.2%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	55.5%	(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
	55.5%	(expm1.f64 (neg.f64 (log.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
▶	70.6%	(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))
▶	49.0%	#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
✓	49.3%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
✓	50.7%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))

Compiler

Compiled 680 to 439 computations (35.4% saved)

simplify151.0ms (1.4%)

Memory

-6.1MiB live, 110.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
cost-diff	128	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
cost-diff	128	(-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))
cost-diff	256	(fma.f64 #s(literal 4 binary64) x (+.f64 x x))
cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	128	(+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -1/3 binary64))
cost-diff	0	(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
cost-diff	0	#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))
cost-diff	0	(neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))
cost-diff	0	(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))

Rules

4 394×	`lower-fma.f32`
4 384×	`lower-fma.f64`
1 882×	`unsub-neg`
1 344×	`lower-*.f32`
1 338×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	306
0	68	284
1	124	269
2	221	269
3	381	269
4	667	269
5	917	269
6	1684	269
7	3433	269
8	4583	269
9	4767	269
10	4797	269
11	4797	269
12	4801	269
13	4807	269
0	4807	262

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))
(neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))
#s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
x
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(*.f64 x x)
#s(literal -1/3 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))
(-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))
(fma.f64 #s(literal 4 binary64) x (+.f64 x x))
#s(literal 4 binary64)
x
(+.f64 x x)
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

Outputs
(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))
(neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))
#s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
x
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(*.f64 x x)
#s(literal -1/3 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64)))
(-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))
(fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) x (+.f64 x x))
(*.f64 x #s(literal 6 binary64))
#s(literal 4 binary64)
x
(+.f64 x x)
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(.f64 x (.f64 x x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize404.0ms (3.6%)

Memory

21.2MiB live, 452.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
accuracy	0.07421875	(.f64 x (.f64 x x))
accuracy	18.81845299191622	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
accuracy	28.51957226968522	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))))
accuracy	0.04296875	(-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))
accuracy	20.016320986118966	#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))
accuracy	28.51957226968522	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
accuracy	0.03515625	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
accuracy	0.07421875	(.f64 x (.f64 x x))
accuracy	19.390826514072835	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64)))
accuracy	28.51957226968522	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.0234375	(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
accuracy	0.171875	(.f64 (.f64 x x) #s(literal -1/3 binary64))
accuracy	19.476914289228198	#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
accuracy	0	(neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))
accuracy	0	(neg.f64 x)
accuracy	0.00390625	(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))
accuracy	19.120104313197345	#s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))

Samples

189.0ms	53×	5	exit
71.0ms	81×	1	valid
62.0ms	48×	2	valid
22.0ms	74×	0	valid

Compiler

Compiled 219 to 43 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

ival-pow: 99.0ms (32.5% of total)

ival-exp: 46.0ms (15.1% of total)

adjust: 39.0ms (12.8% of total)

ival-log: 30.0ms (9.9% of total)

ival-mult: 26.0ms (8.5% of total)

ival-add: 19.0ms (6.2% of total)

ival-expm1: 14.0ms (4.6% of total)

const: 11.0ms (3.6% of total)

ival-div: 9.0ms (3% of total)

ival-sub: 7.0ms (2.3% of total)

ival-neg: 4.0ms (1.3% of total)

exact: 1.0ms (0.3% of total)

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

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

series12.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) (patch (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #<representation binary64>) () ())
#s(alt (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (patch (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)) (patch #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x) (patch (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal -1/3 binary64)) (patch (.f64 (.f64 x x) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) x (+.f64 x x)) (patch (fma.f64 #s(literal 4 binary64) x (+.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))) (patch (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) (patch #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) (patch (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) (patch (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) (patch (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) (patch (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1) (taylor inf x) (#s(alt (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) (patch (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1) (taylor inf x) (#s(alt (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) (patch (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1) (taylor inf x) (#s(alt (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) (patch (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1) (taylor inf x) (#s(alt (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) (patch (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) (patch (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) (patch (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) (patch (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) (patch (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (patch (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (patch (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2)))) (taylor 0 x) (#s(alt (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (patch (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2)))) (taylor 0 x) (#s(alt (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (patch (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x)))))) (taylor inf x) (#s(alt (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (patch (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x)))))) (taylor inf x) (#s(alt (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (patch (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x)))))) (taylor inf x) (#s(alt (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (patch (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x)))))) (taylor inf x) (#s(alt (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (patch (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x)))))) (taylor -inf x) (#s(alt (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (patch (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x)))))) (taylor -inf x) (#s(alt (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (patch (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x)))))) (taylor -inf x) (#s(alt (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (patch (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x)))))) (taylor -inf x) (#s(alt (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) (patch (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 x) 1)) (taylor 0 x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1)) (taylor 0 x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1)) (taylor 0 x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* 1/2 (+ 1 (exp (* -2 x))))) (taylor inf x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* 1/2 (+ 1 (exp (* -2 x))))) (taylor inf x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* 1/2 (+ 1 (exp (* -2 x))))) (taylor inf x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* 1/2 (+ 1 (exp (* -2 x))))) (taylor inf x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* 1/2 (+ 1 (exp (* -2 x))))) (taylor -inf x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* 1/2 (+ 1 (exp (* -2 x))))) (taylor -inf x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* 1/2 (+ 1 (exp (* -2 x))))) (taylor -inf x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (* 1/2 (+ 1 (exp (* -2 x))))) (taylor -inf x) (#s(alt #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (patch #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
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#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2/15 (pow x 2)) 1/3) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2/15 (pow x 2)) 1/3) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2/15 (pow x 2)) 1/3) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2/15 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2/15 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) (patch #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) (patch #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) (patch #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) (taylor 0 x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) (patch #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) (patch #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) (patch #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) (patch #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) (patch #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) (patch #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) (patch #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) (patch #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) (patch #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))) #<representation binary64>) () ())) ())

Calls

66 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(- (exp (neg (log (* (+ 1 (exp (* -2 x))) 1/2)))) 1)
0.0ms	x	@	inf	(* (* x x) -1/3)
0.0ms	x	@	0	(+ (* 4 x) (+ x x))
0.0ms	x	@	inf	(+ (* x (* (* x x) -1/3)) x)
0.0ms	x	@	inf	(+ (* 4 x) (+ x x))

simplify237.0ms (2.1%)

Memory

3.7MiB live, 314.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 296×	`lower-fma.f64`
14 296×	`lower-fma.f32`
3 488×	`lower-*.f64`
3 488×	`lower-*.f32`
3 432×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	2091
1	388	1952
2	1000	1872
3	3128	1867
4	7522	1867
0	8359	1746

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 256

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))))
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))
(* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
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))))
(- (* 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 (+ 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)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -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))
(* -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)))))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow 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))))
(- (* 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 (+ 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
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -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))
(* -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)))))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
2
(+ 2 (* -6 x))
(+ 2 (* -6 x))
(+ 2 (* -6 x))
(* -6 x)
(* x (- (* 2 (/ 1 x)) 6))
(* x (- (* 2 (/ 1 x)) 6))
(* x (- (* 2 (/ 1 x)) 6))
(* -6 x)
(* -1 (* x (- 6 (* 2 (/ 1 x)))))
(* -1 (* x (- 6 (* 2 (/ 1 x)))))
(* -1 (* x (- 6 (* 2 (/ 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))))
(- (* 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 (+ 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
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (+ (/ 1 (pow x 4)) (/ 1 (pow x 5)))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 4))) (* 1/3 (/ 1 (pow x 2)))) 2/15)))
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))))
(- (* 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 (+ 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
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) x)
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))
(.f64 x (fma.f64 x (fma.f64 (.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))
(.f64 x (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -6 x))
(fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))
(+ 2 (* -6 x))
(fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))
(+ 2 (* -6 x))
(fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))
(* -6 x)
(*.f64 x #s(literal -6 binary64))
(* x (- (* 2 (/ 1 x)) 6))
(fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 6))
(fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 6))
(fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))
(* -6 x)
(*.f64 x #s(literal -6 binary64))
(* -1 (* x (- 6 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))
(* -1 (* x (- 6 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))
(* -1 (* x (- 6 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 2/15 (+ (/ 1 (pow x 4)) (/ 1 (pow x 5)))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 4))) (* 1/3 (/ 1 (pow x 2)))) 2/15)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))

rewrite312.0ms (2.8%)

Memory

-18.9MiB live, 380.8MiB allocated

Rules

5 644×	`lower-*.f32`
5 638×	`lower-*.f64`
3 738×	`lower-fma.f32`
3 728×	`lower-fma.f64`
3 656×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	275
0	68	255
1	313	240
2	2443	218
0	9339	215

Stop Event

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

Counts

22 → 516

Calls

Call 1

Inputs
(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))
(neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))
#s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))
(neg.f64 x)
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(*.f64 x x)
(+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 #s(literal 4 binary64) x (+.f64 x x))
(-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(.f64 x (.f64 x x))
#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))

Outputs
(+.f64 (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))
(-.f64 (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))))))
(-.f64 (/.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))))
(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))
(expm1.f64 (.f64 (log.f64 (exp.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))) (expm1.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))) (expm1.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))))
(/.f64 (expm1.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))))
(/.f64 (expm1.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))))) (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))) (+.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))) (expm1.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))) (expm1.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (expm1.f64 (.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (neg.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))))))
(.f64 (expm1.f64 (.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))))
(log.f64 (exp.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))
(+.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))
(-.f64 #s(literal 0 binary64) #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (exp.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 1 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))))
(fma.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (exp.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) #s(literal 0 binary64))
(neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))
(neg.f64 (log.f64 (exp.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))
(neg.f64 (log.f64 (/.f64 (exp.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) (.f64 #s(literal 0 binary64) #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))) (+.f64 #s(literal 0 binary64) #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))
(.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))
(.f64 #s(literal -1 binary64) (log.f64 (exp.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))
#s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(+.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)))
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x)
(fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (*.f64 x x)))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (-.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (.f64 x x))) (-.f64 (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))) x))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (-.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (.f64 x x)))) (neg.f64 (-.f64 (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)) (.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x))) (.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (*.f64 x x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))
(.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))))))))
(.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) x)))
(.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/3 binary64)) x)
(+.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))
(fma.f64 x (.f64 x x) (.f64 x (*.f64 x x)))
(fma.f64 (.f64 x x) x (.f64 x (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64) (.f64 x (.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (.f64 x (.f64 x x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
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(/.f64 (-.f64 (.f64 (.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) (.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (+.f64 (fma.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (.f64 (+.f64 (fma.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))))) (+.f64 (fma.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))))
(pow.f64 (/.f64 (+.f64 (fma.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))))) (fma.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) (.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))))) (fma.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) (.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))))
(.f64 (fma.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal -1/9 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64))) (-.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 6 binary64))))

eval160.0ms (1.4%)

Memory: 10.0MiB live, 198.3MiB allocated
Compiler: Compiled 23 843 to 2 183 computations (90.8% saved)

prune176.0ms (1.6%)

Memory

9.2MiB live, 328.1MiB allocated

Pruning

28 alts after pruning (17 fresh and 11 done)

	Pruned	Kept	Total
New	886	4	890
Fresh	2	13	15
Picked	2	3	5
Done	0	8	8
Total	890	28	918

Accuracy

100.0%

Counts

918 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.4%	(/.f64 #s(literal 1 binary64) (/.f64 #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))))
✓	55.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) #s(literal 1 binary64))
✓	55.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	24.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	24.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
	24.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
	24.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	31.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1 binary64))
	30.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x))))))) #s(literal 1 binary64))
	24.6%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
	24.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
	22.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))
✓	6.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
✓	6.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	4.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
	6.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
	6.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
✓	4.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	6.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
	6.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
	2.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
✓	4.2%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	55.5%	(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
	55.5%	(expm1.f64 (neg.f64 (log.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
✓	70.6%	(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))
	49.0%	#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
✓	49.3%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
✓	50.7%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))

Compiler

Compiled 880 to 403 computations (54.2% saved)

regimes83.0ms (0.7%)

Memory

-5.8MiB live, 158.6MiB allocated

Counts

40 → 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 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.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))) (fma.f64 (+.f64 x x) 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 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #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))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x))))))) #s(literal 1 binary64))
(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))
(expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #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))
(/.f64 #s(literal 1 binary64) (/.f64 #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))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) #s(literal 1 binary64))
(expm1.f64 (neg.f64 (log.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64))))

Outputs

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

(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))

Calls

7 calls:

14.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
12.0ms	x
11.0ms	y
11.0ms	(*.f64 #s(literal -2 binary64) x)
11.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
98.9%	2	`x`
70.6%	1	`y`
98.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
98.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
98.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
98.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
98.9%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes66.0ms (0.6%)

Memory

-6.0MiB live, 111.1MiB allocated

Counts

39 → 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 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.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))) (fma.f64 (+.f64 x x) 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 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #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))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x))))))) #s(literal 1 binary64))
(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))
(expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #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))
(/.f64 #s(literal 1 binary64) (/.f64 #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))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) #s(literal 1 binary64))
(expm1.f64 (neg.f64 (log.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))

Outputs

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

(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))

Calls

6 calls:

11.0ms	x
11.0ms	(*.f64 #s(literal -2 binary64) x)
10.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
10.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
9.0ms	(-.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
98.9%	2	`x`
98.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
98.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
98.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
98.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
98.9%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes58.0ms (0.5%)

Memory

28.2MiB live, 104.9MiB allocated

Counts

36 → 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 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.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))) (fma.f64 (+.f64 x x) 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 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #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))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x))))))) #s(literal 1 binary64))
(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))
(expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #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))
(/.f64 #s(literal 1 binary64) (/.f64 #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))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.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))

(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))

Calls

6 calls:

11.0ms	(*.f64 #s(literal -2 binary64) x)
10.0ms	x
9.0ms	(-.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 1 binary64) (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
98.9%	2	`x`
98.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
98.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
98.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
98.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
98.9%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes58.0ms (0.5%)

Memory

-21.0MiB live, 95.7MiB allocated

Counts

33 → 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 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.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))) (fma.f64 (+.f64 x x) 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 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #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))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x))))))) #s(literal 1 binary64))
(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))
(expm1.f64 (.f64 #s(approx (log ( (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)) #s(literal -1 binary64)))

Outputs

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

(expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x))))

Calls

6 calls:

12.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
11.0ms	x
11.0ms	(*.f64 #s(literal -2 binary64) x)
8.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
8.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
98.2%	2	`x`
98.2%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
98.2%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
98.2%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
98.2%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
98.2%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes62.0ms (0.6%)

Memory

7.4MiB live, 121.2MiB allocated

Counts

31 → 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 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.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))) (fma.f64 (+.f64 x x) 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 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #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))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x))))))) #s(literal 1 binary64))

Outputs

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

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

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))

Calls

6 calls:

15.0ms	x
12.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
9.0ms	(*.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))))
7.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
99.1%	3	`x`
99.1%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
99.1%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
99.1%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
99.1%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
99.1%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes49.0ms (0.4%)

Memory

9.0MiB live, 87.6MiB allocated

Counts

30 → 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 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.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))) (fma.f64 (+.f64 x x) 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 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #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))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))

Outputs

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

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

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))

Calls

6 calls:

9.0ms	x
9.0ms	(*.f64 #s(literal -2 binary64) x)
8.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
7.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
7.0ms	(-.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
98.8%	3	`x`
98.8%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
98.8%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
98.8%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
98.8%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
98.8%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes58.0ms (0.5%)

Memory

-7.7MiB live, 88.9MiB allocated

Counts

29 → 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 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.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))) (fma.f64 (+.f64 x x) 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 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #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))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x))

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))

Calls

6 calls:

19.0ms	x
9.0ms	(*.f64 #s(literal -2 binary64) x)
8.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
7.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
7.0ms	(-.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
98.7%	3	`x`
98.7%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
98.7%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
98.7%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
98.7%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
98.7%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes56.0ms (0.5%)

Memory

-11.7MiB live, 106.6MiB allocated

Counts

28 → 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 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.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))) (fma.f64 (+.f64 x x) 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 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #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))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))

Outputs

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x))

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))

Calls

7 calls:

9.0ms	y
8.0ms	(*.f64 #s(literal -2 binary64) x)
8.0ms	x
7.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
7.0ms	(-.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
50.7%	1	`y`
71.4%	2	`x`
71.4%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
71.4%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
71.4%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
71.4%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
71.4%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes40.0ms (0.4%)

Memory

-5.3MiB live, 74.9MiB allocated

Counts

23 → 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 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.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))) (fma.f64 (+.f64 x x) 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 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))

Outputs

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
71.2%	2	`x`
71.2%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
71.2%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
71.2%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
71.2%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
71.2%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes36.0ms (0.3%)

Memory

12.1MiB live, 51.5MiB allocated

Counts

21 → 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 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.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))) (fma.f64 (+.f64 x x) 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 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x))

Outputs

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

#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x))

Calls

6 calls:

7.0ms	x
7.0ms	(*.f64 #s(literal -2 binary64) x)
5.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
5.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
5.0ms	(-.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
71.2%	2	`x`
71.2%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
71.2%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
71.2%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
71.2%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
71.2%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes35.0ms (0.3%)

Memory

24.6MiB live, 64.0MiB allocated

Counts

20 → 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 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.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))) (fma.f64 (+.f64 x x) 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 4 binary64) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) x (+.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

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

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

Calls

6 calls:

7.0ms	x
6.0ms	(*.f64 #s(literal -2 binary64) x)
5.0ms	(-.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) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
5.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
70.2%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
70.2%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
70.2%	2	`(*.f64 #s(literal -2 binary64) x)`
70.2%	2	`x`
70.2%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
70.2%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes32.0ms (0.3%)

Memory

-17.1MiB live, 62.9MiB 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 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.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))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 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))))
5.0ms	(*.f64 #s(literal -2 binary64) x)
5.0ms	x
5.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
5.0ms	(-.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
70.2%	2	`(*.f64 #s(literal -2 binary64) x)`
70.2%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
70.2%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
70.2%	2	`x`
70.2%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
70.2%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes29.0ms (0.3%)

Memory

18.8MiB live, 58.3MiB 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 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))

Outputs

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes26.0ms (0.2%)

Memory

-30.9MiB live, 49.1MiB allocated

Counts

13 → 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 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (-.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))

Outputs

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes21.0ms (0.2%)

Memory

27.8MiB live, 27.8MiB allocated

Counts

11 → 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 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))

Outputs

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64))

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes41.0ms (0.4%)

Memory

-14.6MiB live, 24.8MiB 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 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* x (+ (* -1/3 (* x x)) 1)) 1) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (+ (* -1/3 (* x (* x x))) x) 1) (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))

Outputs

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

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

Calls

6 calls:

25.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
3.0ms	(*.f64 #s(literal -2 binary64) x)
3.0ms	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 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

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

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes23.0ms (0.2%)

Memory

-6.3MiB live, 33.2MiB allocated

Counts

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

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

Calls

7 calls:

5.0ms	(*.f64 #s(literal -2 binary64) x)
3.0ms	y
3.0ms	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
49.0%	1	`y`
49.0%	1	`(*.f64 #s(literal -2 binary64) x)`
49.0%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
49.0%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
49.0%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
49.0%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
49.0%	1	`x`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes16.0ms (0.1%)

Memory

-8.9MiB live, 29.7MiB allocated

Counts

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

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

Calls

7 calls:

4.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	y
2.0ms	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))

Results

Accuracy	Segments	Branch
49.0%	1	`(*.f64 #s(literal -2 binary64) x)`
49.0%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
49.0%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
49.0%	1	`x`
49.0%	1	`y`
49.0%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
49.0%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes11.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB 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 x #s(literal 1 binary64))) #s(literal 1 binary64))

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

Calls

7 calls:

2.0ms	y
2.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	x
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
6.6%	1	`(*.f64 #s(literal -2 binary64) x)`
6.6%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
6.6%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
6.6%	1	`x`
6.6%	1	`y`
6.6%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
6.6%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes12.0ms (0.1%)

Memory

-21.3MiB live, 18.9MiB 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:

4.0ms	y
1.0ms	(*.f64 #s(literal -2 binary64) x)
1.0ms	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))
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
4.2%	1	`(*.f64 #s(literal -2 binary64) x)`
4.2%	1	`y`
4.2%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
4.2%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
4.2%	1	`x`
4.2%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
4.2%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 47 to 39 computations (17% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.001411251311297008	-2.70142629759209e-9

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.001411251311297008	-2.70142629759209e-9

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.001411251311297008	-2.70142629759209e-9

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-45.82866857715908	-0.3278035357683721

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8225937767344769	535.2888814649364
0.0ms	-45.82866857715908	-0.3278035357683721

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8225937767344769	535.2888814649364
0.0ms	-45.82866857715908	-0.3278035357683721

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8225937767344769	535.2888814649364
0.0ms	-45.82866857715908	-0.3278035357683721

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8225937767344769	535.2888814649364

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8225937767344769	535.2888814649364

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.730116023370712e-233	0.2782458626058942

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.730116023370712e-233	0.2782458626058942

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch14.0ms (0.1%)

Memory

27.0MiB live, 27.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-267.6444407324682	-0.9112968883672384

Samples

8.0ms

128×

valid

Compiler

Compiled 223 to 151 computations (32.3% saved)

Precisions

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

ival-div: 1.0ms (21.3% of total)

ival-sub: 1.0ms (21.3% of total)

ival-exp: 1.0ms (21.3% of total)

ival-add: 1.0ms (21.3% of total)

ival-mult: 1.0ms (21.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Memory

-25.5MiB live, 12.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-267.6444407324682	-0.9112968883672384

Samples

4.0ms

64×

valid

Compiler

Compiled 207 to 151 computations (27.1% saved)

Precisions

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

ival-exp: 1.0ms (40.5% of total)

ival-mult: 1.0ms (40.5% 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)

exact: 0.0ms (0% of total)

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

bsearch7.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	-0.9112968883672384	-0.48724858760915085

Samples

4.0ms

64×

valid

Compiler

Compiled 115 to 83 computations (27.8% saved)

Precisions

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

ival-exp: 1.0ms (43.7% 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)

bsearch6.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-267.6444407324682	-0.9112968883672384

Samples

3.0ms

48×

valid

Compiler

Compiled 207 to 151 computations (27.1% saved)

Precisions

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

ival-exp: 1.0ms (57.7% 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%)

Memory

-32.6MiB live, 6.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-267.6444407324682	-0.9112968883672384

Samples

3.0ms

32×

valid

Compiler

Compiled 207 to 151 computations (27.1% saved)

Precisions

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

ival-mult: 1.0ms (43.5% of total)

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)

exact: 0.0ms (0% of total)

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

simplify38.0ms (0.3%)

Memory

4.3MiB live, 43.3MiB allocated

Algorithm

1×	egg-herbie

Rules

184×	`unsub-neg_binary64`
160×	`distribute-lft-neg-in_binary64`
144×	`neg-mul-1_binary64`
102×	`+-commutative_binary64`
100×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	886
1	203	886
2	251	886
3	302	886
4	325	886
5	350	886
6	398	886
7	466	886
8	581	886
9	705	886
10	774	886
11	807	886
12	826	886
13	827	886

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64)))) (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (expm1.f64 (neg.f64 (log.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -40 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x))))))) #s(literal 1 binary64)) (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -40 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x))))))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -40 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -40 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 5593535921577141/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 5593535921577141/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -5494391545392005/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -7385903388887613/9007199254740992 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64)))) (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64)))) (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1152921504606847/1152921504606846976 binary64)) (expm1.f64 (neg.f64 (log.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (expm1.f64 (neg.f64 #s(approx (log (* (+ 1 (exp (* -2 x))) 1/2)) (neg.f64 x)))))
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(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -40 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -40 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 x x)) (+.f64 #s(literal 2 binary64) (+.f64 x x))))) #s(literal -1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 5593535921577141/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 5593535921577141/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 5593535921577141/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 5593535921577141/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp ( -2 x))) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -5494391545392005/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -5494391545392005/4503599627370496 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -7385903388887613/9007199254740992 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -7385903388887613/9007199254740992 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (fma.f64 x #s(literal -6 binary64) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ (* 4 x) (+ x x))) (.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (- 2 (+ x x)) (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) #s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (pow (exp -2) x))) 1) (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 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))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal -1 binary64))

soundness2.2s (19.8%)

Memory

49.3MiB live, 1 277.5MiB allocated

Rules

20 226×	`lower-fma.f64`
20 226×	`lower-fma.f32`
15 342×	`lower-fma.f64`
15 342×	`lower-fma.f32`
14 296×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	14	28
1	53	28
2	371	28
3	5969	28
0	8136	28
0	151	2091
1	388	1952
2	1000	1872
3	3128	1867
4	7522	1867
0	8359	1746
0	43	275
0	68	255
1	313	240
2	2443	218
0	9339	215
0	133	1937
1	343	1936
2	798	1886
3	2315	1881
4	4907	1881
0	8202	1756
0	36	240
0	62	230
1	259	227
2	2010	226
0	8455	217
0	37	229
0	60	229
1	261	227
0	2095	216
0	49	358
1	119	358
2	234	348
3	604	348
4	1194	348
5	1764	348
6	2024	348
7	2599	348
8	3669	348
9	5745	348
10	6685	348
11	7091	348
12	7233	348
13	7295	348
14	7337	348
0	8101	327
0	171	2116
1	438	2051
2	1144	2045
3	3516	2045
4	7784	2045
0	8153	1900

Stop Event

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

Compiler

Compiled 1 525 to 746 computations (51.1% saved)

preprocess182.0ms (1.6%)

Memory: -18.9MiB live, 257.4MiB allocated
Remove: (abs y)
Compiler: Compiled 1 722 to 498 computations (71.1% 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	155	886
1	203	886
2	251	886
3	302	886
4	325	886
5	350	886
6	398	886
7	466	886
8	581	886
9	705	886
10	774	886
11	807	886
12	826	886
13	827	886

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	155	886
1	203	886
2	251	886
3	302	886
4	325	886
5	350	886
6	398	886
7	466	886
8	581	886
9	705	886
10	774	886
11	807	886
12	826	886
13	827	886

start0.0ms (0%)

analyze0.0ms (0%)

sample1.9s (17%)

explain223.0ms (2%)

preprocess32.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize49.0ms (0.4%)

series24.0ms (0.2%)

simplify319.0ms (2.9%)

rewrite237.0ms (2.1%)

eval42.0ms (0.4%)

prune68.0ms (0.6%)

simplify82.0ms (0.7%)

localize260.0ms (2.3%)

series73.0ms (0.7%)

simplify417.0ms (3.7%)

rewrite792.0ms (7.1%)

eval312.0ms (2.8%)

prune293.0ms (2.6%)

simplify192.0ms (1.7%)

localize444.0ms (4%)

series13.0ms (0.1%)

simplify254.0ms (2.3%)

rewrite148.0ms (1.3%)

eval93.0ms (0.8%)

prune156.0ms (1.4%)

simplify151.0ms (1.4%)

localize404.0ms (3.6%)

series12.0ms (0.1%)

simplify237.0ms (2.1%)

rewrite312.0ms (2.8%)

eval160.0ms (1.4%)

prune176.0ms (1.6%)

regimes83.0ms (0.7%)

regimes66.0ms (0.6%)

regimes58.0ms (0.5%)

regimes58.0ms (0.5%)

regimes62.0ms (0.6%)

regimes49.0ms (0.4%)

regimes58.0ms (0.5%)

regimes56.0ms (0.5%)

regimes40.0ms (0.4%)

regimes36.0ms (0.3%)

regimes35.0ms (0.3%)

regimes32.0ms (0.3%)

regimes29.0ms (0.3%)

regimes26.0ms (0.2%)

regimes21.0ms (0.2%)

regimes41.0ms (0.4%)

regimes23.0ms (0.2%)

regimes16.0ms (0.1%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch6.0ms (0.1%)

bsearch5.0ms (0%)

simplify38.0ms (0.3%)

soundness2.2s (19.8%)

preprocess182.0ms (1.6%)

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	155	886
1	203	886
2	251	886
3	302	886
4	325	886
5	350	886
6	398	886
7	466	886
8	581	886
9	705	886
10	774	886
11	807	886
12	826	886
13	827	886