Metrics for Logistic function from Lakshay Garg

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.7s (20.6%)

Memory

1.6MiB live, 1 701.3MiB allocated

Samples

495.0ms	1 584×	2	valid
476.0ms	2 414×	1	valid
454.0ms	4 258×	0	valid

Precisions

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

ival-exp: 450.0ms (44.4% of total)

ival-mult: 146.0ms (14.4% of total)

adjust: 119.0ms (11.7% of total)

ival-add: 105.0ms (10.4% of total)

ival-div: 100.0ms (9.9% of total)

ival-sub: 74.0ms (7.3% of total)

exact: 10.0ms (1% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain269.0ms (3.2%)

Memory

34.6MiB live, 350.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
125	-	-	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
0	-	-	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 #s(literal -2 binary64) x)`
0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
0	-	-	`#s(literal -2 binary64)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
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	125	0

Confusion

	Predicted +	Predicted -
+	125	0
-	0	131

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	125	0	0
-	0	0	131

Precision?

1.0

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

154.0ms	116×	2	valid
21.0ms	264×	0	valid
21.0ms	132×	1	valid

Compiler

Compiled 119 to 44 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-exp: 130.0ms (74.8% of total)

ival-div: 24.0ms (13.8% of total)

adjust: 6.0ms (3.5% of total)

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

ival-mult: 4.0ms (2.3% of total)

ival-sub: 4.0ms (2.3% of total)

exact: 1.0ms (0.6% of total)

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

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

preprocess38.0ms (0.5%)

Memory

-50.1MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	317	50
8	371	50
9	438	50
10	476	50
11	493	50
12	508	50
13	520	50
14	528	50
15	532	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 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))

Symmetry

(abs y)

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Compiler

Compiled 10 to 10 computations (0% saved)

simplify3.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize46.0ms (0.5%)

Memory

11.5MiB live, 50.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy	29.260267382793746	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Samples

20.0ms	58×	2	valid
10.0ms	66×	1	valid
8.0ms	132×	0	valid

Compiler

Compiled 72 to 22 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-exp: 11.0ms (46.4% of total)

ival-div: 3.0ms (12.7% of total)

adjust: 3.0ms (12.7% of total)

ival-add: 2.0ms (8.4% of total)

ival-mult: 2.0ms (8.4% of total)

ival-sub: 2.0ms (8.4% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

5 → 20

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))
2.0ms	x	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))
1.0ms	x	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))
0.0ms	y	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))
0.0ms	y	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))

simplify213.0ms (2.5%)

Memory

-25.0MiB live, 132.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	164
1	119	164
2	234	154
3	604	154
4	1200	154
5	1777	154
6	2034	154
7	2614	154
8	3767	154
9	5803	154
10	6734	154
11	7144	154
12	7286	154
13	7346	154
14	7386	154
0	8029	133

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

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

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

rewrite183.0ms (2.2%)

Memory

38.6MiB live, 108.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
0	14	31
1	53	31
2	371	31
3	5979	31
0	8144	31

Stop Event

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

Counts

5 → 305

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)))
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(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) (expm1.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -8 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 #s(literal -4 binary64) x)) (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (expm1.f64 (.f64 #s(literal -4 binary64) x)) (expm1.f64 (.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -12 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -8 binary64))) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -12 binary64))) (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -6 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -18 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) (expm1.f64 (*.f64 x #s(literal -6 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 #s(literal -4 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -6 binary64))) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (pow.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)))
(*.f64 #s(literal -2 binary64) x)
(.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64) (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal -1 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 x) #s(literal -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 #s(literal -4 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1/2 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 #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 (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 x #s(literal 1 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)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (pow.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)))
(exp.f64 (.f64 (.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 #s(literal -4 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 -2 binary64) (fma.f64 x #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 x #s(literal -2 binary64)))

eval171.0ms (2%)

Memory: -31.8MiB live, 52.7MiB allocated
Compiler: Compiled 7 921 to 1 122 computations (85.8% saved)

prune11.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	314	10	324
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	314	11	325

Accuracy

100.0%

Counts

325 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.9%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
▶	54.3%	(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)))))
✓	54.3%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	30.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.3%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	30.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	3.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
	6.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
▶	4.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	54.3%	(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
	49.5%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Compiler

Compiled 424 to 322 computations (24.1% saved)

simplify508.0ms (6%)

Memory

7.6MiB live, 202.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64))
cost-diff	0	(fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)))))
cost-diff	128	(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	403
0	81	403
1	133	403
2	214	403
3	421	403
4	889	403
5	2140	403
6	3590	403
7	5262	403
8	6383	403
9	7309	403
0	8016	398

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)))))
(fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64))
#s(literal 64 binary64)
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(literal -6 binary64)
#s(literal -1 binary64)
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
#s(literal 4 binary64)
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
#s(literal -4 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 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
#s(literal -2 binary64)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
#s(literal -4/3 binary64)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

Outputs
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -4 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))))
(fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))
#s(literal 64 binary64)
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(literal -6 binary64)
#s(literal -1 binary64)
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64))))
(*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -4 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
#s(literal 2 binary64)
(+.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64))
#s(literal 4 binary64)
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -4 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -4 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 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
#s(literal -2 binary64)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
#s(literal -4/3 binary64)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize315.0ms (3.7%)

Memory

-18.9MiB live, 340.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.05078125	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
accuracy	15.368553378182273	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
accuracy	29.260267382793746	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
accuracy	0.03515625	(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
accuracy	0.09375	(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
accuracy	15.403703715591453	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
accuracy	29.260267382793746	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
accuracy	15.515824161313947	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
accuracy	29.260267382793746	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	12.9396678744998	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
accuracy	29.260267382793746	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.015625	(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64))
accuracy	0.021816259768442016	(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64))
accuracy	0.0859375	(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)))))
accuracy	29.197866537973766	(fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64))

Samples

75.0ms	68×	1	exit
72.0ms	56×	2	valid
52.0ms	15×	3	valid
50.0ms	53×	1	valid
24.0ms	64×	0	valid

Compiler

Compiled 752 to 100 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-pow: 72.0ms (30.6% of total)

ival-add: 50.0ms (21.2% of total)

adjust: 28.0ms (11.9% of total)

ival-exp: 27.0ms (11.5% of total)

ival-mult: 19.0ms (8.1% of total)

ival-sub: 19.0ms (8.1% of total)

ival-div: 11.0ms (4.7% of total)

const: 7.0ms (3% of total)

exact: 1.0ms (0.4% of total)

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

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

series31.0ms (0.4%)

Memory

5.6MiB live, 47.5MiB allocated

Counts

22 → 62

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)))))
(fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 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 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) x)

Outputs
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -2/3 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))))
(* 6 x)
(* x (+ 6 (* 15 x)))
(* x (+ 6 (* x (+ 15 (* 18 x)))))
(* x (+ 6 (* x (+ 15 (* x (+ 18 (* 5 x)))))))
1/64
(+ 1/64 (* 3/32 x))
(+ 1/64 (* x (+ 3/32 (* 15/64 x))))
(+ 1/64 (* x (+ 3/32 (* x (+ 15/64 (* 9/32 x))))))
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(pow x 3)
(+ 1 (* 4 x))
(+ 1 (* x (+ 4 (* 6 x))))
(+ 1 (* x (+ 4 (* x (+ 6 (* 8/3 x))))))
(+ 2 (* -4/3 x))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(* 1/2 (+ 1 (/ 1 (pow (exp x) 2))))
(/ (- (* 64 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))) 1) (* (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))) (+ 1 (+ (* 4 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 2))) (* 16 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 4)))))))
(- (* 64 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))) 1)
(/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(* -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))
(/ 16 (pow (+ 1 (/ 1 (pow (exp x) 2))) 4))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	((* 1/2 (+ (pow (exp x) -2) 1)) (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (pow (+ (pow (exp x) -2) 1) -6) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ 1 x))
12.0ms	x	@	inf	((* 1/2 (+ (pow (exp x) -2) 1)) (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (pow (+ (pow (exp x) -2) 1) -6) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ 1 x))
4.0ms	x	@	0	((* 1/2 (+ (pow (exp x) -2) 1)) (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (pow (+ (pow (exp x) -2) 1) -6) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ 1 x))
0.0ms	y	@	0	((* 1/2 (+ (pow (exp x) -2) 1)) (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (pow (+ (pow (exp x) -2) 1) -6) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ 1 x))
0.0ms	y	@	-inf	((* 1/2 (+ (pow (exp x) -2) 1)) (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (pow (+ (pow (exp x) -2) 1) -6) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ 1 x))

simplify146.0ms (1.7%)

Memory

13.0MiB live, 203.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	572
1	540	543
2	1477	527
3	4707	519
0	8423	458

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 61

Calls

Call 1

Inputs
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -2/3 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))))
(* 6 x)
(* x (+ 6 (* 15 x)))
(* x (+ 6 (* x (+ 15 (* 18 x)))))
(* x (+ 6 (* x (+ 15 (* x (+ 18 (* 5 x)))))))
1/64
(+ 1/64 (* 3/32 x))
(+ 1/64 (* x (+ 3/32 (* 15/64 x))))
(+ 1/64 (* x (+ 3/32 (* x (+ 15/64 (* 9/32 x))))))
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(pow x 3)
(+ 1 (* 4 x))
(+ 1 (* x (+ 4 (* 6 x))))
(+ 1 (* x (+ 4 (* x (+ 6 (* 8/3 x))))))
(+ 2 (* -4/3 x))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(* 1/2 (+ 1 (/ 1 (pow (exp x) 2))))
(/ (- (* 64 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))) 1) (* (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))) (+ 1 (+ (* 4 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 2))) (* 16 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 4)))))))
(- (* 64 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))) 1)
(/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(* -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))
(/ 16 (pow (+ 1 (/ 1 (pow (exp x) 2))) 4))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -2/3 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* 15 x)))
(*.f64 (fma.f64 #s(literal 15 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* x (+ 15 (* 18 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 18 binary64) x #s(literal 15 binary64)) x #s(literal 6 binary64)) x)
(* x (+ 6 (* x (+ 15 (* x (+ 18 (* 5 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x #s(literal 18 binary64)) x #s(literal 15 binary64)) x #s(literal 6 binary64)) x)
1/64
#s(literal 1/64 binary64)
(+ 1/64 (* 3/32 x))
(fma.f64 #s(literal 3/32 binary64) x #s(literal 1/64 binary64))
(+ 1/64 (* x (+ 3/32 (* 15/64 x))))
(fma.f64 (fma.f64 #s(literal 15/64 binary64) x #s(literal 3/32 binary64)) x #s(literal 1/64 binary64))
(+ 1/64 (* x (+ 3/32 (* x (+ 15/64 (* 9/32 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9/32 binary64) x #s(literal 15/64 binary64)) x #s(literal 3/32 binary64)) x #s(literal 1/64 binary64))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) x))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ 1 (* 4 x))
(fma.f64 #s(literal 4 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 4 (* 6 x))))
(fma.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 4 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 4 (* x (+ 6 (* 8/3 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)) x #s(literal 1 binary64))
(+ 2 (* -4/3 x))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(- (* x (+ 2 (* -4/3 x))) 2)
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(* 1/2 (+ 1 (/ 1 (pow (exp x) 2))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/ (- (* 64 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))) 1) (* (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))) (+ 1 (+ (* 4 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 2))) (* 16 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 4)))))))
(/.f64 (-.f64 (/.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 16 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(- (* 64 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))) 1)
(-.f64 (/.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64))
(/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 6 binary64)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(* -4/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4/3 binary64))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(/ 16 (pow (+ 1 (/ 1 (pow (exp x) 2))) 4))
(/.f64 #s(literal 16 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* x (- (* 2 (/ 1 x)) 4/3))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(* -4/3 (pow x 2))
(.f64 (.f64 #s(literal -4/3 binary64) x) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))

rewrite180.0ms (2.1%)

Memory

15.4MiB live, 296.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	275
0	81	275
1	381	275
2	2918	275
0	8256	272

Stop Event

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

Counts

22 → 401

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)))))
(fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 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 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) x)

Outputs
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(pow.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (expm1.f64 (.f64 x #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -12 binary64)) #s(literal 4096 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -18 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -12 binary64)) #s(literal 4096 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal -64 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval69.0ms (0.8%)

Memory: -7.8MiB live, 148.7MiB allocated
Compiler: Compiled 17 411 to 1 865 computations (89.3% saved)

prune17.0ms (0.2%)

Memory

1.4MiB live, 40.6MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	443	7	450
Fresh	1	4	5
Picked	2	3	5
Done	0	1	1
Total	446	15	461

Accuracy

100.0%

Counts

461 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.9%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
▶	54.3%	(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))))
✓	54.3%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	30.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.3%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	30.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	27.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
▶	28.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
	27.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	3.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
▶	6.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
✓	4.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	54.3%	(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
	51.1%	#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
▶	49.5%	#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Compiler

Compiled 744 to 517 computations (30.5% saved)

simplify200.0ms (2.4%)

Memory

15.7MiB live, 164.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
cost-diff	0	#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
cost-diff	0	(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64))
cost-diff	0	(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	477
0	102	467
1	180	467
2	283	467
3	613	467
4	1460	467
5	3903	467
6	5356	467
7	7184	467
0	8176	458

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
x
#s(literal -2 binary64)
#s(literal -6 binary64)
#s(literal 64 binary64)
#s(literal -1 binary64)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 16 binary64)
(fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
#s(literal 4 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
#s(literal 2 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/3 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
#s(literal -4/3 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)

Outputs
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
x
#s(literal -2 binary64)
#s(literal -6 binary64)
#s(literal 64 binary64)
#s(literal -1 binary64)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 16 binary64)
(fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
#s(literal 4 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(literal 2 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #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)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal -1/3 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
#s(literal -4/3 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)

localize362.0ms (4.3%)

Memory

-25.0MiB live, 375.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.046875	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
accuracy	15.41971129920346	#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
accuracy	0.09375	(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
accuracy	15.403703715591453	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))
accuracy	29.260267382793746	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
accuracy	30.84823012509249	#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))
accuracy	0.05078125	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
accuracy	0.0703125	(.f64 (.f64 x x) x)
accuracy	15.368553378182273	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
accuracy	29.260267382793746	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	14.734035386846449	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
accuracy	29.260267382793746	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	0.015625	(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64))
accuracy	0.021816259768442016	(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64))
accuracy	0.0859375	(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))))
accuracy	29.197866537973766	(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))

Samples

96.0ms	56×	2	valid
84.0ms	68×	1	exit
55.0ms	53×	1	valid
31.0ms	15×	3	valid
27.0ms	64×	0	valid

Compiler

Compiled 863 to 148 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-pow: 54.0ms (21.3% of total)

const: 46.0ms (18.1% of total)

adjust: 39.0ms (15.4% of total)

ival-mult: 34.0ms (13.4% of total)

ival-exp: 33.0ms (13% of total)

ival-add: 27.0ms (10.6% of total)

ival-div: 14.0ms (5.5% of total)

ival-sub: 6.0ms (2.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series14.0ms (0.2%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

21 → 51

Calls

Call 1

Inputs
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64))
(.f64 (.f64 x x) x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))

Outputs
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))))
(* 6 x)
(* x (+ 6 (* 15 x)))
(* x (+ 6 (* x (+ 15 (* 18 x)))))
(* x (+ 6 (* x (+ 15 (* x (+ 18 (* 5 x)))))))
1/64
(+ 1/64 (* 3/32 x))
(+ 1/64 (* x (+ 3/32 (* 15/64 x))))
(+ 1/64 (* x (+ 3/32 (* x (+ 15/64 (* 9/32 x))))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(pow x 2)
(pow x 3)
1/16
(+ 1/16 (* 1/4 x))
(+ 1/16 (* x (+ 1/4 (* 3/8 x))))
(+ 1/16 (* x (+ 1/4 (* x (+ 3/8 (* 1/6 x))))))
(+ 2 (* -4/3 x))
(/ (- (* 64 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))) 1) (* (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))) (+ 1 (+ (* 4 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 2))) (* 16 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 4)))))))
(- (* 64 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))) 1)
(/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))
(+ 1 (/ 1 (pow (exp x) 2)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(* x (+ 1 (/ 1 x)))
(* -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))
(+ 1 (exp (* -2 x)))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 4))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* -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) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ (+ (* (pow (+ 1 (pow (exp x) -2)) -6) 64) -1) (* (+ (* (pow (+ 1 (pow (exp x) -2)) -4) 16) (+ (* 4 (pow (+ 1 (pow (exp x) -2)) -2)) 1)) (- (/ 2 (+ 1 (pow (exp x) -2))) -1))) (+ (* (pow (+ 1 (pow (exp x) -2)) -6) 64) -1) (pow (+ 1 (pow (exp x) -2)) -6) (+ 1 (pow (exp x) -2)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (pow (+ 1 (pow (exp x) -2)) -4) (* (* x x) x) (+ (* -4/3 x) 2))
5.0ms	x	@	inf	((/ (+ (* (pow (+ 1 (pow (exp x) -2)) -6) 64) -1) (* (+ (* (pow (+ 1 (pow (exp x) -2)) -4) 16) (+ (* 4 (pow (+ 1 (pow (exp x) -2)) -2)) 1)) (- (/ 2 (+ 1 (pow (exp x) -2))) -1))) (+ (* (pow (+ 1 (pow (exp x) -2)) -6) 64) -1) (pow (+ 1 (pow (exp x) -2)) -6) (+ 1 (pow (exp x) -2)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (pow (+ 1 (pow (exp x) -2)) -4) (* (* x x) x) (+ (* -4/3 x) 2))
2.0ms	x	@	0	((/ (+ (* (pow (+ 1 (pow (exp x) -2)) -6) 64) -1) (* (+ (* (pow (+ 1 (pow (exp x) -2)) -4) 16) (+ (* 4 (pow (+ 1 (pow (exp x) -2)) -2)) 1)) (- (/ 2 (+ 1 (pow (exp x) -2))) -1))) (+ (* (pow (+ 1 (pow (exp x) -2)) -6) 64) -1) (pow (+ 1 (pow (exp x) -2)) -6) (+ 1 (pow (exp x) -2)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (pow (+ 1 (pow (exp x) -2)) -4) (* (* x x) x) (+ (* -4/3 x) 2))
0.0ms	y	@	0	((/ (+ (* (pow (+ 1 (pow (exp x) -2)) -6) 64) -1) (* (+ (* (pow (+ 1 (pow (exp x) -2)) -4) 16) (+ (* 4 (pow (+ 1 (pow (exp x) -2)) -2)) 1)) (- (/ 2 (+ 1 (pow (exp x) -2))) -1))) (+ (* (pow (+ 1 (pow (exp x) -2)) -6) 64) -1) (pow (+ 1 (pow (exp x) -2)) -6) (+ 1 (pow (exp x) -2)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (pow (+ 1 (pow (exp x) -2)) -4) (* (* x x) x) (+ (* -4/3 x) 2))
0.0ms	y	@	inf	((/ (+ (* (pow (+ 1 (pow (exp x) -2)) -6) 64) -1) (* (+ (* (pow (+ 1 (pow (exp x) -2)) -4) 16) (+ (* 4 (pow (+ 1 (pow (exp x) -2)) -2)) 1)) (- (/ 2 (+ 1 (pow (exp x) -2))) -1))) (+ (* (pow (+ 1 (pow (exp x) -2)) -6) 64) -1) (pow (+ 1 (pow (exp x) -2)) -6) (+ 1 (pow (exp x) -2)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (pow (+ 1 (pow (exp x) -2)) -4) (* (* x x) x) (+ (* -4/3 x) 2))

simplify152.0ms (1.8%)

Memory

25.5MiB live, 136.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	488
1	481	462
2	1342	455
3	4300	444
0	8225	402

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

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))))
(* 6 x)
(* x (+ 6 (* 15 x)))
(* x (+ 6 (* x (+ 15 (* 18 x)))))
(* x (+ 6 (* x (+ 15 (* x (+ 18 (* 5 x)))))))
1/64
(+ 1/64 (* 3/32 x))
(+ 1/64 (* x (+ 3/32 (* 15/64 x))))
(+ 1/64 (* x (+ 3/32 (* x (+ 15/64 (* 9/32 x))))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(pow x 2)
(pow x 3)
1/16
(+ 1/16 (* 1/4 x))
(+ 1/16 (* x (+ 1/4 (* 3/8 x))))
(+ 1/16 (* x (+ 1/4 (* x (+ 3/8 (* 1/6 x))))))
(+ 2 (* -4/3 x))
(/ (- (* 64 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))) 1) (* (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))) (+ 1 (+ (* 4 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 2))) (* 16 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 4)))))))
(- (* 64 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))) 1)
(/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))
(+ 1 (/ 1 (pow (exp x) 2)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(* x (+ 1 (/ 1 x)))
(* -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))
(+ 1 (exp (* -2 x)))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 4))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* -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) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* 15 x)))
(*.f64 (fma.f64 #s(literal 15 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* x (+ 15 (* 18 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 18 binary64) x #s(literal 15 binary64)) x #s(literal 6 binary64)) x)
(* x (+ 6 (* x (+ 15 (* x (+ 18 (* 5 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x #s(literal 18 binary64)) x #s(literal 15 binary64)) x #s(literal 6 binary64)) x)
1/64
#s(literal 1/64 binary64)
(+ 1/64 (* 3/32 x))
(fma.f64 #s(literal 3/32 binary64) x #s(literal 1/64 binary64))
(+ 1/64 (* x (+ 3/32 (* 15/64 x))))
(fma.f64 (fma.f64 #s(literal 15/64 binary64) x #s(literal 3/32 binary64)) x #s(literal 1/64 binary64))
(+ 1/64 (* x (+ 3/32 (* x (+ 15/64 (* 9/32 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9/32 binary64) x #s(literal 15/64 binary64)) x #s(literal 3/32 binary64)) x #s(literal 1/64 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) x))
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/4 x))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/16 binary64))
(+ 1/16 (* x (+ 1/4 (* 3/8 x))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/16 binary64))
(+ 1/16 (* x (+ 1/4 (* x (+ 3/8 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/16 binary64))
(+ 2 (* -4/3 x))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(/ (- (* 64 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))) 1) (* (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))) (+ 1 (+ (* 4 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 2))) (* 16 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 4)))))))
(/.f64 (-.f64 (/.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 16 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(- (* 64 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))) 1)
(-.f64 (/.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64))
(/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 6 binary64)))
(+ 1 (/ 1 (pow (exp x) 2)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(* -4/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4/3 binary64))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* x (- (* 2 (/ 1 x)) 4/3))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))

rewrite194.0ms (2.3%)

Memory

-10.7MiB live, 183.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	342
0	102	331
1	513	331
2	3086	331
0	9059	323

Stop Event

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

Counts

21 → 385

Calls

Call 1

Inputs
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64))
(.f64 (.f64 x x) x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))

Outputs
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal 4096 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal 262144 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -18 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4096 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -12 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -64 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -2 binary64))))
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(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -4 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))
(pow.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64))
(exp.f64 (.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))) (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 16/9 binary64) (.f64 x x))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64))) (neg.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64))))))
(/.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (*.f64 x #s(literal -8/3 binary64)))))
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))) (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))

eval106.0ms (1.3%)

Memory: 9.2MiB live, 142.5MiB allocated
Compiler: Compiled 27 107 to 2 247 computations (91.7% saved)

prune27.0ms (0.3%)

Memory

-30.2MiB live, 51.4MiB allocated

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	551	6	557
Fresh	1	5	6
Picked	1	4	5
Done	0	4	4
Total	553	19	572

Accuracy

100.0%

Counts

572 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.9%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
✓	54.3%	(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))))
✓	54.3%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	30.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.3%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	30.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	27.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
✓	28.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
▶	27.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
	27.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	3.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
▶	5.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
▶	5.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
✓	6.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
	5.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
✓	4.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	54.3%	(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
	51.1%	#s(approx (/ (+ (* (pow (+ 1 (pow (exp x) -2)) -6) 64) -1) (* (+ (* (pow (+ 1 (pow (exp x) -2)) -4) 16) (+ (* 4 (pow (+ 1 (pow (exp x) -2)) -2)) 1)) (- (/ 2 (+ 1 (pow (exp x) -2))) -1))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
▶	49.5%	#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Compiler

Compiled 840 to 592 computations (29.5% saved)

simplify172.0ms (2%)

Memory

13.3MiB live, 202.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
cost-diff	1920	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
cost-diff	128	(-.f64 (*.f64 x x) #s(literal 1 binary64))
cost-diff	1088	(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	-5824	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
cost-diff	0	#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
cost-diff	6080	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
cost-diff	28928	(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	506
0	102	476
1	177	470
2	333	444
3	825	432
4	2702	432
0	8238	409

Stop Event

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

Calls

Call 1

Inputs
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/3 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x))
(.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)
(.f64 #s(approx (+ ( -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x)
#s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x))
(*.f64 #s(literal -4/3 binary64) x)
#s(literal -4/3 binary64)
x
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) x)
x
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

Outputs
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
#s(literal 2 binary64)
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal -1/3 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #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 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal -1 binary64))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x)))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x)))
(.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)
(.f64 #s(approx (+ ( -4/3 x) 2) (.f64 #s(literal -4/3 binary64) x)) (.f64 x x))
(.f64 #s(approx (+ ( -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x)
#s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x))
(*.f64 #s(literal -4/3 binary64) x)
#s(literal -4/3 binary64)
x
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) x)
x
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

localize230.0ms (2.7%)

Memory

11.4MiB live, 245.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
accuracy	6.366246585034848	(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	14.553744085811848	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
accuracy	29.256361132793746	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
accuracy	15.225446939025677	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))
accuracy	29.256361132793746	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
accuracy	30.639457663389955	#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x))
accuracy	30.986580923243277	#s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	6.324287822345755	(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	14.553744085811848	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy	29.256361132793746	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.046875	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
accuracy	0.06640625	(.f64 (.f64 x x) x)
accuracy	15.24765846168697	#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
accuracy	0.00390625	(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
accuracy	0.0078125	(/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
accuracy	29.256361132793746	(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))

Samples

77.0ms	58×	2	valid
49.0ms	66×	1	valid
36.0ms	68×	1	exit
25.0ms	63×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 852 to 136 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

adjust: 31.0ms (20.1% of total)

ival-mult: 26.0ms (16.8% of total)

ival-pow: 25.0ms (16.2% of total)

ival-exp: 23.0ms (14.9% of total)

ival-div: 15.0ms (9.7% of total)

ival-add: 15.0ms (9.7% of total)

ival-sub: 10.0ms (6.5% of total)

const: 7.0ms (4.5% of total)

exact: 1.0ms (0.6% of total)

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

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

series51.0ms (0.6%)

Memory

-6.1MiB live, 44.2MiB allocated

Counts

23 → 61

Calls

Call 1

Inputs
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 x x)
(.f64 (.f64 x x) x)
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* 1/2 x)
(* x (+ 1/2 (* -1/4 x)))
(* x (+ 1/2 (* x (- (* -1/24 x) 1/4))))
(* x (+ 1/2 (* x (- (* x (- (* 5/48 x) 1/24)) 1/4))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 2 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(pow x 2)
(pow x 3)
-1
(- (pow x 2) 1)
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(- (* -1 x) 1)
(- (* x (- (* 1/3 (pow x 2)) 1)) 1)
(- (* x (- (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))) 1)) 1)
(+ 2 (* -4/3 x))
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(/ (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1) (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))))
(+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))))
(/ 2 (+ 1 (/ 1 (pow (exp x) 2))))
(/ (- (* 64 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))) 1) (* (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))) (+ 1 (+ (* 4 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 2))) (* 16 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 4)))))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ -2 (+ 1 (/ 1 (pow (exp x) 2))))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	x	@	-inf	((* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (* (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (pow (- (/ 2 (+ (pow (exp x) -2) 1)) -1) -1))) (* (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (pow (- (/ 2 (+ (pow (exp x) -2) 1)) -1) -1)) (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (/ 2 (+ (pow (exp x) -2) 1)) (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (+ (* (* (* x x) x) -1/3) x) (* x x) (* (* x x) x) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (/ 1 (/ (- 1 x) (- 1 (* x x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (/ (- 1 x) (- 1 (* x x))) (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (/ -2 (+ (pow (exp x) -2) 1)) (+ (* -4/3 x) 2))
7.0ms	x	@	inf	((* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (* (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (pow (- (/ 2 (+ (pow (exp x) -2) 1)) -1) -1))) (* (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (pow (- (/ 2 (+ (pow (exp x) -2) 1)) -1) -1)) (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (/ 2 (+ (pow (exp x) -2) 1)) (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (+ (* (* (* x x) x) -1/3) x) (* x x) (* (* x x) x) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (/ 1 (/ (- 1 x) (- 1 (* x x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (/ (- 1 x) (- 1 (* x x))) (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (/ -2 (+ (pow (exp x) -2) 1)) (+ (* -4/3 x) 2))
3.0ms	x	@	0	((* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (* (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (pow (- (/ 2 (+ (pow (exp x) -2) 1)) -1) -1))) (* (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (pow (- (/ 2 (+ (pow (exp x) -2) 1)) -1) -1)) (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (/ 2 (+ (pow (exp x) -2) 1)) (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (+ (* (* (* x x) x) -1/3) x) (* x x) (* (* x x) x) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (/ 1 (/ (- 1 x) (- 1 (* x x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (/ (- 1 x) (- 1 (* x x))) (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (/ -2 (+ (pow (exp x) -2) 1)) (+ (* -4/3 x) 2))
0.0ms	y	@	0	((* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (* (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (pow (- (/ 2 (+ (pow (exp x) -2) 1)) -1) -1))) (* (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (pow (- (/ 2 (+ (pow (exp x) -2) 1)) -1) -1)) (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (/ 2 (+ (pow (exp x) -2) 1)) (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (+ (* (* (* x x) x) -1/3) x) (* x x) (* (* x x) x) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (/ 1 (/ (- 1 x) (- 1 (* x x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (/ (- 1 x) (- 1 (* x x))) (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (/ -2 (+ (pow (exp x) -2) 1)) (+ (* -4/3 x) 2))
0.0ms	y	@	inf	((* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (* (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (pow (- (/ 2 (+ (pow (exp x) -2) 1)) -1) -1))) (* (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (pow (- (/ 2 (+ (pow (exp x) -2) 1)) -1) -1)) (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (/ 2 (+ (pow (exp x) -2) 1)) (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (+ (* (* (* x x) x) -1/3) x) (* x x) (* (* x x) x) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (/ 1 (/ (- 1 x) (- 1 (* x x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (/ (- 1 x) (- 1 (* x x))) (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (/ -2 (+ (pow (exp x) -2) 1)) (+ (* -4/3 x) 2))

simplify178.0ms (2.1%)

Memory

18.8MiB live, 174.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	613
1	480	577
2	1279	558
3	4158	542
0	8184	504

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 60

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* 1/2 x)
(* x (+ 1/2 (* -1/4 x)))
(* x (+ 1/2 (* x (- (* -1/24 x) 1/4))))
(* x (+ 1/2 (* x (- (* x (- (* 5/48 x) 1/24)) 1/4))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 2 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(pow x 2)
(pow x 3)
-1
(- (pow x 2) 1)
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(- (* -1 x) 1)
(- (* x (- (* 1/3 (pow x 2)) 1)) 1)
(- (* x (- (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))) 1)) 1)
(+ 2 (* -4/3 x))
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(/ (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1) (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))))
(+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))))
(/ 2 (+ 1 (/ 1 (pow (exp x) 2))))
(/ (- (* 64 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))) 1) (* (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))) (+ 1 (+ (* 4 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 2))) (* 16 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 4)))))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ -2 (+ 1 (/ 1 (pow (exp x) 2))))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/4 x)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* x (- (* -1/24 x) 1/4))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* x (- (* x (- (* 5/48 x) 1/24)) 1/4))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/48 binary64) x #s(literal -1/24 binary64)) x #s(literal -1/4 binary64)) x #s(literal 1/2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 2 binary64) x))
(+ 2 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 2 binary64) x))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 x #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* 1/3 (pow x 2)) 1)) 1)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal -1 binary64) x))
(- (* x (- (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))) 1)) 1)
(fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) x))
(+ 2 (* -4/3 x))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/ (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1) (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/ 2 (+ 1 (/ 1 (pow (exp x) 2))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/ (- (* 64 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 6))) 1) (* (+ 1 (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))))) (+ 1 (+ (* 4 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 2))) (* 16 (/ 1 (pow (+ 1 (/ 1 (pow (exp x) 2))) 4)))))))
(/.f64 (-.f64 (/.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 16 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(* -4/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4/3 binary64))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(/ -2 (+ 1 (/ 1 (pow (exp x) 2))))
(/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* x (- (* 2 (/ 1 x)) 4/3))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))

rewrite183.0ms (2.2%)

Memory

4.2MiB live, 196.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	423
0	102	411
1	455	367
2	3646	347
0	10434	326

Stop Event

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

Counts

23 → 580

Calls

Call 1

Inputs
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 x x)
(.f64 (.f64 x x) x)
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x))

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

eval86.0ms (1%)

Memory: -14.3MiB live, 143.1MiB allocated
Compiler: Compiled 24 468 to 2 396 computations (90.2% saved)

prune25.0ms (0.3%)

Memory

17.8MiB live, 56.7MiB allocated

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	596	10	606
Fresh	4	2	6
Picked	3	2	5
Done	3	5	8
Total	606	19	625

Accuracy

100.0%

Counts

625 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.9%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
✓	54.3%	(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))))
✓	54.3%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	3.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
	5.9%	(-.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))
	3.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
	30.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
	5.0%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
	4.7%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 1 binary64))
	5.9%	(-.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))
	30.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64))
	4.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	30.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
✓	6.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
	5.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
✓	4.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	54.3%	(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
	51.1%	#s(approx (/ (+ (* (pow (+ 1 (pow (exp x) -2)) -6) 64) -1) (* (+ (* (pow (+ 1 (pow (exp x) -2)) -4) 16) (+ (* 4 (pow (+ 1 (pow (exp x) -2)) -2)) 1)) (- (/ 2 (+ 1 (pow (exp x) -2))) -1))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
✓	49.5%	#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Compiler

Compiled 1 509 to 601 computations (60.2% saved)

regimes83.0ms (1%)

Memory

-27.3MiB live, 103.3MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (fma.f64 (-.f64 x #s(literal 1 binary64)) 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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.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 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
#s(approx (/ (+ (* (pow (+ 1 (pow (exp x) -2)) -6) 64) -1) (* (+ (* (pow (+ 1 (pow (exp x) -2)) -4) 16) (+ (* 4 (pow (+ 1 (pow (exp x) -2)) -2)) 1)) (- (/ 2 (+ 1 (pow (exp x) -2))) -1))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)))))

Outputs

(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))))

#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

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

Calls

7 calls:

25.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
11.0ms	(*.f64 #s(literal -2 binary64) x)
11.0ms	y
10.0ms	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))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
63.8%	4	`y`
100.0%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
100.0%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
100.0%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
100.0%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes53.0ms (0.6%)

Memory

-8.4MiB live, 69.3MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (fma.f64 (-.f64 x #s(literal 1 binary64)) 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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.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 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
#s(approx (/ (+ (* (pow (+ 1 (pow (exp x) -2)) -6) 64) -1) (* (+ (* (pow (+ 1 (pow (exp x) -2)) -4) 16) (+ (* 4 (pow (+ 1 (pow (exp x) -2)) -2)) 1)) (- (/ 2 (+ 1 (pow (exp x) -2))) -1))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))

Outputs

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

#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

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

Calls

6 calls:

9.0ms	(*.f64 #s(literal -2 binary64) x)
9.0ms	x
8.0ms	(+.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))))
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
100.0%	3	`x`
100.0%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
100.0%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
100.0%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
100.0%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes49.0ms (0.6%)

Memory

21.9MiB live, 63.6MiB 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 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (fma.f64 (-.f64 x #s(literal 1 binary64)) 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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.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 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
#s(approx (/ (+ (* (pow (+ 1 (pow (exp x) -2)) -6) 64) -1) (* (+ (* (pow (+ 1 (pow (exp x) -2)) -4) 16) (+ (* 4 (pow (+ 1 (pow (exp x) -2)) -2)) 1)) (- (/ 2 (+ 1 (pow (exp x) -2))) -1))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Outputs

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

#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes105.0ms (1.2%)

Memory

-14.8MiB live, 62.6MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (fma.f64 (-.f64 x #s(literal 1 binary64)) 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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.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 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
#s(approx (/ (+ (* (pow (+ 1 (pow (exp x) -2)) -6) 64) -1) (* (+ (* (pow (+ 1 (pow (exp x) -2)) -4) 16) (+ (* 4 (pow (+ 1 (pow (exp x) -2)) -2)) 1)) (- (/ 2 (+ 1 (pow (exp x) -2))) -1))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))

Outputs

#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))

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

Calls

6 calls:

66.0ms	x
9.0ms	(*.f64 #s(literal -2 binary64) x)
7.0ms	(+.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))
7.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
76.8%	2	`x`
76.8%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
76.8%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
76.8%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
76.8%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
76.8%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes42.0ms (0.5%)

Memory

21.6MiB live, 60.2MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (fma.f64 (-.f64 x #s(literal 1 binary64)) 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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.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 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) x)) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))

Outputs

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

#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
76.0%	2	`x`
76.0%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
76.0%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
76.0%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
76.0%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
76.0%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes26.0ms (0.3%)

Memory

-0.9MiB live, 40.3MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (fma.f64 (-.f64 x #s(literal 1 binary64)) 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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

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

#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

Calls

6 calls:

7.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
4.0ms	x
4.0ms	(*.f64 #s(literal -2 binary64) x)
3.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
3.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
76.0%	2	`(*.f64 #s(literal -2 binary64) x)`
76.0%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
76.0%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
76.0%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
76.0%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
76.0%	2	`x`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes16.0ms (0.2%)

Memory

-10.5MiB live, 28.4MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))

Outputs

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

#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
75.9%	2	`(*.f64 #s(literal -2 binary64) x)`
75.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
75.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
75.9%	2	`x`
75.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
75.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes12.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

Outputs

#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

Calls

7 calls:

2.0ms	x
2.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	y
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
49.5%	1	`y`
49.5%	1	`(*.f64 #s(literal -2 binary64) x)`
49.5%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
49.5%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
49.5%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
49.5%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
49.5%	1	`x`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes23.0ms (0.3%)

Memory

-23.4MiB live, 15.5MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

15.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms	(*.f64 #s(literal -2 binary64) x)
1.0ms	y
1.0ms	x
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
6.1%	1	`(*.f64 #s(literal -2 binary64) x)`
6.1%	1	`x`
6.1%	1	`y`
6.1%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
6.1%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
6.1%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
6.1%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes8.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB 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:

1.0ms	(*.f64 #s(literal -2 binary64) x)
1.0ms	x
1.0ms	y
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
4.4%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
4.4%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
4.4%	1	`x`
4.4%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
4.4%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
4.4%	1	`(*.f64 #s(literal -2 binary64) x)`
4.4%	1	`y`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.3023430209871857e-17	15.990449639759007
0.0ms	-0.10537446540041237	-0.00010609581979384428

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.3023430209871857e-17	15.990449639759007
0.0ms	-0.10537446540041237	-0.00010609581979384428

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.3023430209871857e-17	15.990449639759007
0.0ms	-0.10537446540041237	-0.00010609581979384428

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3023430209871857e-17	15.990449639759007

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch19.0ms (0.2%)

Memory

-7.9MiB live, 30.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-7.995224819879503	-1.1511715104935928e-17

Samples

10.0ms

160×

valid

Compiler

Compiled 883 to 565 computations (36% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 2.0ms (30.7% of total)

ival-mult: 2.0ms (30.7% of total)

ival-div: 1.0ms (15.3% of total)

ival-sub: 1.0ms (15.3% of total)

ival-add: 1.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Memory

-21.4MiB live, 20.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-7.995224819879503	-1.1511715104935928e-17

Samples

9.0ms

96×

valid

Compiler

Compiled 863 to 555 computations (35.7% saved)

Precisions

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

ival-div: 1.0ms (28.5% of total)

ival-exp: 1.0ms (28.5% of total)

ival-mult: 1.0ms (28.5% 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)

bsearch8.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-7.995224819879503	-1.1511715104935928e-17

Samples

4.0ms

64×

valid

Compiler

Compiled 793 to 535 computations (32.5% saved)

Precisions

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

ival-exp: 1.0ms (44.1% 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)

simplify47.0ms (0.6%)

Memory

-3.4MiB live, 35.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	731
1	173	731
2	250	731
3	472	731
4	1144	731
5	3964	731

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (/ (+ ( 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/36028797018963968 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/36028797018963968 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (/ (+ ( 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (/ (+ ( 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)) (-.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1170935903116329/2251799813685248 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) #s(approx (/ (+ ( 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (/ (+ ( 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/36028797018963968 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/36028797018963968 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (/ (+ ( 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (or (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/36028797018963968 binary64)) (not (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6490371073168535/162259276829213363391578010288128 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(approx (/ (+ ( 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (/ (+ ( 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)) (-.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) #s(approx (/ (+ ( 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)) (-.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (pow.f64 #s(approx (/ (- 1 x) (- 1 (* x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1170935903116329/2251799813685248 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) #s(approx (/ (+ ( 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -1170935903116329/2251799813685248 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (pow.f64 #s(approx (/ (- 1 x) (- 1 (* x x))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(approx (/ (+ ( 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (- 1 (* x x))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (pow.f64 #s(approx (/ (- 1 x) (- 1 (* x x))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
#s(approx (/ (+ (* 64 (pow (+ (pow (exp x) -2) 1) -6)) -1) (* (- (/ 2 (+ (pow (exp x) -2) 1)) -1) (+ (+ (* (pow (+ (pow (exp x) -2) 1) -2) 4) 1) (pow (* 1/2 (+ (pow (exp x) -2) 1)) -4)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

soundness1.8s (21.6%)

Memory

-134.7MiB live, 726.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	342
0	102	331
1	513	331
2	3086	331
0	9059	323
0	186	613
1	480	577
2	1279	558
3	4158	542
0	8184	504
0	197	572
1	540	543
2	1477	527
3	4707	519
0	8423	458
0	49	164
1	119	164
2	234	154
3	604	154
4	1200	154
5	1777	154
6	2034	154
7	2614	154
8	3767	154
9	5803	154
10	6734	154
11	7144	154
12	7286	154
13	7346	154
14	7386	154
0	8029	133
0	48	275
0	81	275
1	381	275
2	2918	275
0	8256	272
0	9	31
0	14	31
1	53	31
2	371	31
3	5979	31
0	8144	31

Stop Event

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

Compiler

Compiled 1 452 to 541 computations (62.7% saved)

preprocess169.0ms (2%)

Memory: -7.6MiB live, 152.4MiB allocated
Remove: (abs y)
Compiler: Compiled 1 726 to 392 computations (77.3% 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	317	50
8	371	50
9	438	50
10	476	50
11	493	50
12	508	50
13	520	50
14	528	50
15	532	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

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	317	50
8	371	50
9	438	50
10	476	50
11	493	50
12	508	50
13	520	50
14	528	50
15	532	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (20.6%)

explain269.0ms (3.2%)

preprocess38.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize46.0ms (0.5%)

series5.0ms (0.1%)

simplify213.0ms (2.5%)

rewrite183.0ms (2.2%)

eval171.0ms (2%)

prune11.0ms (0.1%)

simplify508.0ms (6%)

localize315.0ms (3.7%)

series31.0ms (0.4%)

simplify146.0ms (1.7%)

rewrite180.0ms (2.1%)

eval69.0ms (0.8%)

prune17.0ms (0.2%)

simplify200.0ms (2.4%)

localize362.0ms (4.3%)

series14.0ms (0.2%)

simplify152.0ms (1.8%)

rewrite194.0ms (2.3%)

eval106.0ms (1.3%)

prune27.0ms (0.3%)

simplify172.0ms (2%)

localize230.0ms (2.7%)

series51.0ms (0.6%)

simplify178.0ms (2.1%)

rewrite183.0ms (2.2%)

eval86.0ms (1%)

prune25.0ms (0.3%)

regimes83.0ms (1%)

regimes53.0ms (0.6%)

regimes49.0ms (0.6%)

regimes105.0ms (1.2%)

regimes42.0ms (0.5%)

regimes26.0ms (0.3%)

regimes16.0ms (0.2%)

regimes12.0ms (0.1%)

regimes23.0ms (0.3%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch8.0ms (0.1%)

simplify47.0ms (0.6%)

soundness1.8s (21.6%)

preprocess169.0ms (2%)

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	317	50
8	371	50
9	438	50
10	476	50
11	493	50
12	508	50
13	520	50
14	528	50
15	532	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10