Metrics for Logistic function from Lakshay Garg

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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)

sample1.2s (20.5%)

Memory

332.8MiB live, 332.8MiB allocated

Samples

404.0ms	1 620×	2	valid
290.0ms	2 410×	1	valid
204.0ms	4 226×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 699.0ms

ival-exp: 336.0ms (48% of total)

ival-div: 86.0ms (12.3% of total)

adjust: 82.0ms (11.7% of total)

ival-add: 63.0ms (9% of total)

ival-sub: 58.0ms (8.3% of total)

ival-mult: 56.0ms (8% of total)

exact: 10.0ms (1.4% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain129.0ms (2.3%)

Memory

92.6MiB live, 92.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
139	-	1	(0.021859025414321394 -4.3494539348454705e-153)	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
0	-	0	-	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 #s(literal -2 binary64) x)`
0	-	0	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
0	-	0	-	`#s(literal -2 binary64)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`	cancellation	138	1

Confusion

	Predicted +	Predicted -
+	138	1
-	0	117

Precision

1.0

Recall

0.9928057553956835

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	138	1	0
-	0	0	117

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	118
1	138

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

34.280029296875

Average Time

0.13390636444091797

Samples

16.0ms	61×	2	valid
10.0ms	73×	1	valid
7.0ms	122×	0	valid

Compiler

Compiled 117 to 63 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-exp: 12.0ms (51.1% of total)

adjust: 3.0ms (12.8% of total)

ival-div: 3.0ms (12.8% of total)

ival-add: 2.0ms (8.5% of total)

ival-mult: 2.0ms (8.5% of total)

ival-sub: 2.0ms (8.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess25.0ms (0.4%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.1%	(-.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

0.6MiB live, 0.6MiB 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

localize41.0ms (0.7%)

Memory

13.1MiB live, 13.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	0.015625	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy	31.886622231685514	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Samples

16.0ms	61×	2	valid
10.0ms	73×	1	valid
7.0ms	122×	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 (46.8% of total)

adjust: 3.0ms (12.8% of total)

ival-div: 3.0ms (12.8% of total)

ival-add: 2.0ms (8.5% of total)

ival-mult: 2.0ms (8.5% of total)

ival-sub: 2.0ms (8.5% 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

1.8MiB live, 1.8MiB 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)))

simplify181.0ms (3.2%)

Memory

31.8MiB live, 31.8MiB 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	2609	154
8	3678	154
9	5741	154
10	6674	154
11	7080	154
12	7222	154
13	7282	154
14	7322	154
0	8037	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))

rewrite115.0ms (2%)

Memory

43.6MiB live, 43.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 305

Calls

Call 1

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

Outputs
(.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)))

eval39.0ms (0.7%)

Memory: 29.4MiB live, 29.4MiB allocated
Compiler: Compiled 7 921 to 1 122 computations (85.8% saved)

prune18.0ms (0.3%)

Memory

15.9MiB live, 15.9MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	313	11	324
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	313	12	325

Accuracy

100.0%

Counts

325 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.1%	(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))
	50.1%	(/.f64 #s(literal 1 binary64) (pow.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)))) #s(literal -1 binary64)))
▶	50.1%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	50.1%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	25.9%	(-.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))
	25.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	25.6%	(-.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))
	4.8%	(-.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))
	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
▶	4.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	28.4%	(exp.f64 (*.f64 (log.f64 (pow.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)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
▶	54.6%	#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 346 to 312 computations (9.8% saved)

simplify16.0ms (0.3%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	216
0	52	216
1	78	216
2	107	216
3	176	216
4	268	216
5	312	216
6	314	216
7	389	216
8	393	216
9	395	216
10	399	216
11	432	216
12	432	216
0	432	216

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize144.0ms (2.6%)

Memory

37.8MiB live, 37.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	0.015625	(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
accuracy	0.024101269536884032	(pow.f64 (exp.f64 x) #s(literal -2 binary64))
accuracy	31.886622231685514	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.01953125	(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
accuracy	0.0703125	(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
accuracy	15.667287313714013	#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	31.886622231685514	(-.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	(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
accuracy	0.015625	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
accuracy	15.773802621521506	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
accuracy	31.886622231685514	(-.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	13.43282735691231	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
accuracy	31.886622231685514	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.03515625	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
accuracy	15.653750831210903	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Samples

50.0ms	61×	2	valid
35.0ms	73×	1	valid
18.0ms	54×	1	exit
17.0ms	68×	0	valid

Compiler

Compiled 383 to 66 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-exp: 25.0ms (27.4% of total)

adjust: 15.0ms (16.4% of total)

ival-pow: 11.0ms (12% of total)

ival-add: 11.0ms (12% of total)

ival-mult: 9.0ms (9.9% of total)

ival-div: 7.0ms (7.7% of total)

const: 7.0ms (7.7% of total)

ival-sub: 5.0ms (5.5% of total)

exact: 1.0ms (1.1% of total)

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

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

series14.0ms (0.3%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

19 → 47

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (pow x 3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (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 (+ (pow (exp x) -2) 1)) 1) (/ 2 (+ (pow (exp x) -2) 1)) (+ (pow (exp x) -2) 1) (pow (exp x) -2) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2))
5.0ms	x	@	-inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (pow x 3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (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 (+ (pow (exp x) -2) 1)) 1) (/ 2 (+ (pow (exp x) -2) 1)) (+ (pow (exp x) -2) 1) (pow (exp x) -2) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2))
2.0ms	x	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (pow x 3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (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 (+ (pow (exp x) -2) 1)) 1) (/ 2 (+ (pow (exp x) -2) 1)) (+ (pow (exp x) -2) 1) (pow (exp x) -2) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2))
0.0ms	y	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (pow x 3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (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 (+ (pow (exp x) -2) 1)) 1) (/ 2 (+ (pow (exp x) -2) 1)) (+ (pow (exp x) -2) 1) (pow (exp x) -2) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2))
0.0ms	y	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (pow x 3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (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 (+ (pow (exp x) -2) 1)) 1) (/ 2 (+ (pow (exp x) -2) 1)) (+ (pow (exp x) -2) 1) (pow (exp x) -2) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2))

simplify129.0ms (2.3%)

Memory

34.0MiB live, 34.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	370
1	283	352
2	821	350
3	2865	344
4	7647	344
0	8096	296

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 46

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

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

rewrite157.0ms (2.8%)

Memory

55.5MiB live, 55.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	197
0	52	197
1	256	197
2	1709	197
0	8702	197

Stop Event

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

Counts

19 → 415

Calls

Call 1

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

Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (.f64 (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x) (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(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 (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 (/.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) #s(literal 1 binary64)) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) #s(approx (/ 2 (+ 1 (exp ( -2 x)))) #s(literal 1 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))) (+.f64 #s(literal -8 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)))))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(fma.f64 x (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x))

eval65.0ms (1.2%)

Memory: 42.4MiB live, 42.4MiB allocated
Compiler: Compiled 13 590 to 1 713 computations (87.4% saved)

prune23.0ms (0.4%)

Memory

20.6MiB live, 20.6MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	441	8	449
Fresh	5	1	6
Picked	4	1	5
Done	0	1	1
Total	450	11	461

Accuracy

100.0%

Counts

461 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.1%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
▶	50.1%	(/.f64 #s(literal 1 binary64) (pow.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)))) #s(literal -1 binary64)))
✓	50.1%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	22.3%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
	4.8%	(-.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))
▶	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	4.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	50.1%	(expm1.f64 (.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
▶	54.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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))
▶	56.0%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 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))
	54.6%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Compiler

Compiled 340 to 296 computations (12.9% saved)

simplify39.0ms (0.7%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(pow.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)))) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.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)))) #s(literal -1 binary64)))
cost-diff	0	(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))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(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)
cost-diff	0	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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))
cost-diff	0	#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(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)
cost-diff	0	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	281
0	63	277
1	107	277
2	221	277
3	464	277
4	825	277
5	997	277
6	1067	277
7	1281	277
8	1313	277
9	1315	277
10	1320	277
11	1322	277
12	1322	277
0	1322	273

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize195.0ms (3.5%)

Memory

53.5MiB live, 53.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
accuracy	0.024101269536884032	(pow.f64 (exp.f64 x) #s(literal -2 binary64))
accuracy	0.09375	(/.f64 #s(literal 1 binary64) (pow.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)))) #s(literal -1 binary64)))
accuracy	31.886622231685514	(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
accuracy	0.015625	(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)
accuracy	0.01953125	(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))
accuracy	0.0546875	(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
accuracy	15.53876122516922	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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))
accuracy	0.015625	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
accuracy	15.773802621521506	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
accuracy	31.886622231685514	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
accuracy	34.28978954712527	#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	14.923412372703506	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
accuracy	31.886622231685514	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.02734375	(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)
accuracy	0.03125	(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
accuracy	15.125586374039953	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 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))

Samples

67.0ms	61×	2	valid
50.0ms	73×	1	valid
23.0ms	54×	1	exit
21.0ms	68×	0	valid

Compiler

Compiled 502 to 82 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-exp: 26.0ms (20.3% of total)

adjust: 19.0ms (14.9% of total)

ival-pow: 19.0ms (14.9% of total)

ival-add: 17.0ms (13.3% of total)

ival-mult: 17.0ms (13.3% of total)

const: 14.0ms (11% of total)

ival-div: 10.0ms (7.8% of total)

ival-sub: 5.0ms (3.9% of total)

exact: 1.0ms (0.8% of total)

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

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

series18.0ms (0.3%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

21 → 60

Calls

Call 1

Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 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))
(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)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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))
(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)
(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))
(/.f64 #s(literal 1 binary64) (pow.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)))) #s(literal -1 binary64)))
(pow.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)))) #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)))
(*.f64 x x)
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(pow.f64 (exp.f64 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))))
(pow x 3)
-1/3
(- (* 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)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) 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)
(pow x 2)
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ 2 (+ 1 (exp (* -2 x))))
(* x (+ 1 (/ 1 x)))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(/ 1 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1))
(/ -2 (+ 1 (/ 1 (pow (exp x) 2))))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(/ 1 (pow (exp x) 2))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (+ (* 2/15 (* x x)) -1/3)) x) (pow x 3) (+ (* 2/15 (* x x)) -1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ x 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (/ -2 (+ (pow (exp x) -2) 1)) (* x x) (+ (* -17/315 (* x x)) 2/15) (pow (exp x) -2))
6.0ms	x	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (+ (* 2/15 (* x x)) -1/3)) x) (pow x 3) (+ (* 2/15 (* x x)) -1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ x 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (/ -2 (+ (pow (exp x) -2) 1)) (* x x) (+ (* -17/315 (* x x)) 2/15) (pow (exp x) -2))
2.0ms	x	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (+ (* 2/15 (* x x)) -1/3)) x) (pow x 3) (+ (* 2/15 (* x x)) -1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ x 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (/ -2 (+ (pow (exp x) -2) 1)) (* x x) (+ (* -17/315 (* x x)) 2/15) (pow (exp x) -2))
0.0ms	y	@	-inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (+ (* 2/15 (* x x)) -1/3)) x) (pow x 3) (+ (* 2/15 (* x x)) -1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ x 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (/ -2 (+ (pow (exp x) -2) 1)) (* x x) (+ (* -17/315 (* x x)) 2/15) (pow (exp x) -2))
0.0ms	y	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (+ (* 2/15 (* x x)) -1/3)) x) (pow x 3) (+ (* 2/15 (* x x)) -1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ x 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (/ -2 (+ (pow (exp x) -2) 1)) (* x x) (+ (* -17/315 (* x x)) 2/15) (pow (exp x) -2))

simplify114.0ms (2%)

Memory

28.8MiB live, 28.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	554
1	363	544
2	885	533
3	2599	533
4	5933	533
0	8280	493

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(pow x 3)
-1/3
(- (* 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)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) 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)
(pow x 2)
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ 2 (+ 1 (exp (* -2 x))))
(* x (+ 1 (/ 1 x)))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(/ 1 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1))
(/ -2 (+ 1 (/ 1 (pow (exp x) 2))))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(/ 1 (pow (exp x) 2))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

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)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
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)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #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 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(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))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- (* -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))
(pow x 2)
(*.f64 x x)
2/15
#s(literal 2/15 binary64)
(+ 2/15 (* -17/315 (pow x 2)))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(+ 1 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #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 #s(literal -2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(* 2/15 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (-.f64 #s(literal -2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -17/315 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2/15 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -17/315 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -17/315 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x)
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (.f64 #s(literal 2/15 binary64) x) x (.f64 (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/ 1 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #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 #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(* -17/315 (pow x 2))
(.f64 #s(literal -17/315 binary64) (.f64 x x))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(/ 1 (pow (exp x) 2))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (-.f64 #s(literal -2/15 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2/15 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -17/315 binary64))) (pow.f64 x #s(literal 7 binary64)))

rewrite158.0ms (2.8%)

Memory

56.5MiB live, 56.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	245
0	63	241
1	311	241
2	2291	241
0	8824	237

Stop Event

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

Counts

21 → 476

Calls

Call 1

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

Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (.f64 x x))) (.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 2/15 binary64) x)) x (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/15 binary64)) (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x) (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x)) x (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (*.f64 x x) x)
(fma.f64 (.f64 #s(literal 2/15 binary64) x) (.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (*.f64 x x) #s(literal 2/15 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 2/15 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) x (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (/.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))))
(+.f64 (+.f64 x (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(.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 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/45 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64))) (-.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/45 binary64))))))
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(*.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 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (pow.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 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64)) (pow.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64)) (pow.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (*.f64 x x) #s(literal -34/4725 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal -2/15 binary64)) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64)))) (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64))) (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64)) #s(literal 4/225 binary64))) (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64)) (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64))))
(/.f64 (-.f64 #s(literal 4/225 binary64) (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64))) (neg.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal -2/15 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64))) (neg.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64))))))
(/.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64)) (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal -2/15 binary64)))
(/.f64 (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64)) (+.f64 #s(literal 4/225 binary64) (-.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -34/4725 binary64)))))
(/.f64 (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64)) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal -2/15 binary64)) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/225 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64)))) (fma.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64))))
(fma.f64 (*.f64 #s(literal -17/315 binary64) x) x #s(literal 2/15 binary64))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(fma.f64 x (*.f64 #s(literal -17/315 binary64) x) #s(literal 2/15 binary64))
(-.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal -2/15 binary64))))
(+.f64 (.f64 #s(literal -17/315 binary64) (.f64 x x)) #s(literal 2/15 binary64))
(+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))
(.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(*.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 #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 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))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(exp.f64 (fma.f64 x #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 x #s(literal -2 binary64)))

eval71.0ms (1.3%)

Memory: 43.7MiB live, 43.7MiB allocated
Compiler: Compiled 14 430 to 1 679 computations (88.4% saved)

prune25.0ms (0.4%)

Memory

22.5MiB live, 22.5MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	469	9	478
Fresh	2	2	4
Picked	3	2	5
Done	0	2	2
Total	474	15	489

Accuracy

100.0%

Counts

489 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.1%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
	28.3%	(pow.f64 (sqrt.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))))) #s(literal 2 binary64))
	50.1%	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
▶	56.0%	(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
	55.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
▶	56.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
	56.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
✓	50.1%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	22.3%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
▶	6.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
✓	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	4.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	54.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x x))
	56.0%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
▶	54.6%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Compiler

Compiled 520 to 410 computations (21.2% saved)

simplify128.0ms (2.3%)

Memory

37.7MiB live, 37.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
cost-diff	0	(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
cost-diff	0	(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))
cost-diff	0	(.f64 (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)) (.f64 x x))
cost-diff	0	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x x))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
cost-diff	1088	(/.f64 (fma.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 (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	364
0	73	364
1	127	356
2	216	347
3	479	341
4	1087	341
5	2171	341
6	3358	341
0	8208	339

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
x
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/3 binary64)
(-.f64 #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))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x x))
(fma.f64 (.f64 (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)) (.f64 x x)) x x)
(.f64 (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)) (.f64 x x))
(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))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
#s(literal -17/315 binary64)
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64))
#s(literal 2/945 binary64)
(*.f64 x x)
x
#s(literal -1/45 binary64)
#s(literal 1/3 binary64)

Outputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
x
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #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 (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 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (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)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (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)) (.f64 x x)) x x)
(fma.f64 (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)) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (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)) (.f64 x x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x) x)
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
#s(literal -17/315 binary64)
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64))
#s(literal 2/945 binary64)
(*.f64 x x)
x
#s(literal -1/45 binary64)
#s(literal 1/3 binary64)

localize231.0ms (4.1%)

Memory

65.3MiB live, 65.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08041000976844201	(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64))
accuracy	0.09375	(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
accuracy	0.6958480268059564	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
accuracy	15.010978569959022	#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
accuracy	0.01953125	(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))
accuracy	0.0546875	(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
accuracy	0.15625	(.f64 (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)) (.f64 x x))
accuracy	15.53876122516922	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x x))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	6.314504979619806	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	14.923412372703506	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy	31.886622231685514	(-.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))
accuracy	0	(*.f64 x x)
accuracy	0.03515625	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
accuracy	0.0859375	(.f64 (.f64 x x) x)
accuracy	15.653750831210903	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
accuracy	0.03125	(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	0.09375	(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
accuracy	6.303685367933178	(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
accuracy	14.859645119571354	#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))

Samples

77.0ms	61×	2	valid
61.0ms	73×	1	valid
27.0ms	68×	0	valid
27.0ms	54×	1	exit

Compiler

Compiled 650 to 99 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

const: 27.0ms (17% of total)

ival-exp: 26.0ms (16.4% of total)

ival-mult: 25.0ms (15.8% of total)

adjust: 22.0ms (13.9% of total)

ival-add: 20.0ms (12.6% of total)

ival-div: 16.0ms (10.1% of total)

ival-pow: 16.0ms (10.1% of total)

ival-sub: 6.0ms (3.8% of total)

exact: 1.0ms (0.6% of total)

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

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

series15.0ms (0.3%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

22 → 66

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 x x)
(.f64 (.f64 x x) x)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #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))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 x x #s(literal -1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x x))
(.f64 (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)) (.f64 x x))
(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))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 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))))
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
1
(+ 1 (* 1/3 (pow x 2)))
(pow x 2)
(pow x 3)
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
-1
(- (pow x 2) 1)
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45)))))
(- x 1)
-1/45
(- (* 2/945 (pow x 2)) 1/45)
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(/ 1 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1))
(* 1/3 x)
(* x (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* x (+ 1 (/ 1 x)))
(/ 2 (+ 1 (exp (* -2 x))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* 2/945 (pow x 5))
(* (pow x 5) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 6))
(* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))
(* x (- 1 (/ 1 x)))
(* 2/945 (pow x 2))
(* (pow x 2) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/45 (/ 1 (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* 1/45 (/ 1 (pow x 2))) (+ 2/945 (/ 1/3 (pow x 4))))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (* 1/45 (/ 1 (pow x 2)))) 2/945)))
(* -1 (* x (- (/ 1 x) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ (+ (* 1/3 (* x x)) 1) x) (+ (* 1/3 (* x x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (* (* x x) x) -1/3) x) (* x x) (* (* x x) x) (/ (+ (* x x) -1) (- x 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* x x) -1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (* x x)) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (+ (* -17/315 (* x x)) 2/15) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ (+ (* (+ (* (+ (* 2/945 (* x x)) -1/45) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 2/945 (* x x)) -1/45) (* x x)) 1/3) (* x x)) 1) (- x 1) (+ (* 2/945 (* x x)) -1/45))
5.0ms	x	@	inf	((/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ (+ (* 1/3 (* x x)) 1) x) (+ (* 1/3 (* x x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (* (* x x) x) -1/3) x) (* x x) (* (* x x) x) (/ (+ (* x x) -1) (- x 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* x x) -1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (* x x)) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (+ (* -17/315 (* x x)) 2/15) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ (+ (* (+ (* (+ (* 2/945 (* x x)) -1/45) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 2/945 (* x x)) -1/45) (* x x)) 1/3) (* x x)) 1) (- x 1) (+ (* 2/945 (* x x)) -1/45))
2.0ms	x	@	0	((/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ (+ (* 1/3 (* x x)) 1) x) (+ (* 1/3 (* x x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (* (* x x) x) -1/3) x) (* x x) (* (* x x) x) (/ (+ (* x x) -1) (- x 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* x x) -1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (* x x)) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (+ (* -17/315 (* x x)) 2/15) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ (+ (* (+ (* (+ (* 2/945 (* x x)) -1/45) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 2/945 (* x x)) -1/45) (* x x)) 1/3) (* x x)) 1) (- x 1) (+ (* 2/945 (* x x)) -1/45))
0.0ms	y	@	0	((/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ (+ (* 1/3 (* x x)) 1) x) (+ (* 1/3 (* x x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (* (* x x) x) -1/3) x) (* x x) (* (* x x) x) (/ (+ (* x x) -1) (- x 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* x x) -1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (* x x)) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (+ (* -17/315 (* x x)) 2/15) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ (+ (* (+ (* (+ (* 2/945 (* x x)) -1/45) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 2/945 (* x x)) -1/45) (* x x)) 1/3) (* x x)) 1) (- x 1) (+ (* 2/945 (* x x)) -1/45))
0.0ms	y	@	inf	((/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ (+ (* 1/3 (* x x)) 1) x) (+ (* 1/3 (* x x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (* (* x x) x) -1/3) x) (* x x) (* (* x x) x) (/ (+ (* x x) -1) (- x 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* x x) -1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (* x x)) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (+ (* -17/315 (* x x)) 2/15) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ (+ (* (+ (* (+ (* 2/945 (* x x)) -1/45) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 2/945 (* x x)) -1/45) (* x x)) 1/3) (* x x)) 1) (- x 1) (+ (* 2/945 (* x x)) -1/45))

simplify126.0ms (2.2%)

Memory

34.3MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	612
1	326	597
2	814	590
3	2386	582
4	6042	582
0	8182	542

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

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 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
1
(+ 1 (* 1/3 (pow x 2)))
(pow x 2)
(pow x 3)
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
-1
(- (pow x 2) 1)
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45)))))
(- x 1)
-1/45
(- (* 2/945 (pow x 2)) 1/45)
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(/ 1 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1))
(* 1/3 x)
(* x (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* x (+ 1 (/ 1 x)))
(/ 2 (+ 1 (exp (* -2 x))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* 2/945 (pow x 5))
(* (pow x 5) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 6))
(* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))
(* x (- 1 (/ 1 x)))
(* 2/945 (pow x 2))
(* (pow x 2) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/45 (/ 1 (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* 1/45 (/ 1 (pow x 2))) (+ 2/945 (/ 1/3 (pow x 4))))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (* 1/45 (/ 1 (pow x 2)))) 2/945)))
(* -1 (* x (- (/ 1 x) 1)))

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 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(fma.f64 #s(literal 1/3 binary64) x (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 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))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x) x)
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(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))
2/15
#s(literal 2/15 binary64)
(+ 2/15 (* -17/315 (pow x 2)))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
-1/45
#s(literal -1/45 binary64)
(- (* 2/945 (pow x 2)) 1/45)
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 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))
(/ 1 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1))
(/.f64 #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)))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) x (/.f64 #s(literal 1 binary64) x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (*.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))
(* -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 #s(literal 1 binary64) x)
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* -17/315 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -17/315 binary64))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* -17/315 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x)
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (.f64 #s(literal 2/15 binary64) x) x (.f64 (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* -17/315 (pow x 2))
(.f64 #s(literal -17/315 binary64) (.f64 x x))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(* 2/945 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64))
(* (pow x 5) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) (-.f64 #s(literal -2/945 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2/945 binary64))) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 2/945 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2/945 binary64))
(* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) (-.f64 #s(literal -2/945 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal -1/45 binary64) (*.f64 x x)) (-.f64 #s(literal -2/945 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* 2/945 (pow x 2))
(.f64 #s(literal 2/945 binary64) (.f64 x x))
(* (pow x 2) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 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 5) (- (* 1/45 (/ 1 (pow x 2))) 2/945)))
(.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/45 (/ 1 (pow x 2))) (+ 2/945 (/ 1/3 (pow x 4))))))
(.f64 (-.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) (-.f64 #s(literal -2/945 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (* 1/45 (/ 1 (pow x 2)))) 2/945)))
(.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite149.0ms (2.6%)

Memory

51.7MiB live, 51.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	309
0	73	302
1	364	287
2	2625	287
0	8201	286

Stop Event

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

Counts

22 → 380

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 x x)
(.f64 (.f64 x x) x)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #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))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 x x #s(literal -1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x x))
(.f64 (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)) (.f64 x x))
(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))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64))

Outputs
(.f64 (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))) #s(literal -1 binary64))
(pow.f64 (.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))) #s(literal -1 binary64))
(pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))))
(exp.f64 (.f64 (log.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) #s(literal 1 binary64))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
(/.f64 (neg.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(/.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
(pow.f64 (/.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) x))
(/.f64 (.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))) x))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) x))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (.f64 x x))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 x x) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 x (.f64 x (.f64 #s(literal -1/3 binary64) x)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 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 (log.f64 x)) #s(literal 3 binary64))
(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))
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(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)) (pow.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 binary64)) (pow.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 (*.f64 x x) #s(literal -2/42525 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) #s(literal -2/42525 binary64)))) (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/2025 binary64))) (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (-.f64 #s(literal 1/2025 binary64) (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/45 binary64) (.f64 #s(literal 2/945 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64))) (neg.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 binary64))) (neg.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) #s(literal -2/42525 binary64))))))
(/.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)))
(/.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 binary64)) (+.f64 #s(literal 1/2025 binary64) (-.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -2/42525 binary64)))))
(/.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 binary64)) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) #s(literal -2/42525 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) #s(literal -2/42525 binary64)))) (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 binary64))))
(fma.f64 (*.f64 #s(literal 2/945 binary64) x) x #s(literal -1/45 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))
(fma.f64 x (*.f64 #s(literal 2/945 binary64) x) #s(literal -1/45 binary64))
(-.f64 (/.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) (/.f64 #s(literal 1/2025 binary64) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))))
(+.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal -1/45 binary64))
(+.f64 #s(literal -1/45 binary64) (.f64 #s(literal 2/945 binary64) (.f64 x x)))

eval73.0ms (1.3%)

Memory: 45.8MiB live, 45.8MiB allocated
Compiler: Compiled 16 716 to 2 145 computations (87.2% saved)

prune33.0ms (0.6%)

Memory

27.3MiB live, 27.3MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	491	6	497
Fresh	2	4	6
Picked	2	3	5
Done	1	3	4
Total	496	16	512

Accuracy

100.0%

Counts

512 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.1%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
	27.7%	(pow.f64 (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	28.3%	(pow.f64 (sqrt.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))))) #s(literal 2 binary64))
	50.1%	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
✓	56.0%	(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
	55.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 2/945 (* x x)) -1/45) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	4.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(approx (+ (* 1/3 (* x x)) 1) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)))
	56.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))))))
	4.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) #s(approx (/ (+ (* 1/3 (* x x)) 1) x) (*.f64 #s(literal 1/3 binary64) x))))
✓	50.1%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	25.6%	(-.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))
✓	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	4.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	54.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x x))
	56.0%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
✓	54.6%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Compiler

Compiled 1 056 to 464 computations (56.1% saved)

regimes68.0ms (1.2%)

Memory

29.5MiB live, 29.5MiB allocated

Counts

35 → 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))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) #s(approx (/ (+ (* 1/3 (* x x)) 1) x) (*.f64 #s(literal 1/3 binary64) x))))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.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 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(approx (+ (* 1/3 (* x x)) 1) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 2/945 (* x x)) -1/45) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (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 (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)))) 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 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 (/.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 (/.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))
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.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))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.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)))) #s(literal -1 binary64)))
(expm1.f64 (.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.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)))) #s(literal -1 binary64))) #s(literal -1 binary64)))

Outputs

(exp.f64 (*.f64 (log.f64 (pow.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)))) #s(literal -1 binary64))) #s(literal -1 binary64)))

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

Calls

7 calls:

11.0ms	y
11.0ms	(*.f64 #s(literal -2 binary64) x)
10.0ms	x
9.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
8.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
61.4%	3	`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)

regimes56.0ms (1%)

Memory

24.7MiB live, 24.7MiB 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))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) #s(approx (/ (+ (* 1/3 (* x x)) 1) x) (*.f64 #s(literal 1/3 binary64) x))))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.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 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(approx (+ (* 1/3 (* x x)) 1) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 2/945 (* x x)) -1/45) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (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 (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)))) 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 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 (/.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 (/.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))
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.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))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.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)))) #s(literal -1 binary64)))
(expm1.f64 (.f64 (log.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))

Outputs

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

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

Calls

6 calls:

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

regimes49.0ms (0.9%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #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)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) #s(approx (/ (+ (* 1/3 (* x x)) 1) x) (*.f64 #s(literal 1/3 binary64) x))))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.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 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(approx (+ (* 1/3 (* x x)) 1) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 2/945 (* x x)) -1/45) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (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 (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)))) 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 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 (/.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 (/.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))
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))

Outputs

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

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

(-.f64 #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))

Calls

6 calls:

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

Results

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

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes46.0ms (0.8%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

27 → 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))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) #s(approx (/ (+ (* 1/3 (* x x)) 1) x) (*.f64 #s(literal 1/3 binary64) x))))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.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 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(approx (+ (* 1/3 (* x x)) 1) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 2/945 (* x x)) -1/45) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (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 (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)))) 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 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))

Outputs

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

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

Calls

6 calls:

8.0ms	(*.f64 #s(literal -2 binary64) x)
8.0ms	x
7.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
7.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
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)

regimes43.0ms (0.8%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) #s(approx (/ (+ (* 1/3 (* x x)) 1) x) (*.f64 #s(literal 1/3 binary64) x))))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.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 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(approx (+ (* 1/3 (* x x)) 1) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 2/945 (* x x)) -1/45) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (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 (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)))) 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))

Outputs

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

Calls

6 calls:

8.0ms	x
8.0ms	(*.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	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
6.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
76.6%	2	`x`
76.6%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
76.6%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
76.6%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
76.6%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
76.6%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes29.0ms (0.5%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
76.4%	2	`x`
76.4%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
76.4%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
76.4%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
76.4%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
76.4%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes25.0ms (0.4%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
76.4%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
76.4%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
76.4%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
76.4%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
76.4%	2	`(*.f64 #s(literal -2 binary64) x)`
76.4%	2	`x`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes20.0ms (0.4%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
75.5%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
75.5%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
75.5%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
75.5%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
75.5%	2	`x`
75.5%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes19.0ms (0.3%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

5 → 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))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) #s(approx (/ (+ (* 1/3 (* x x)) 1) x) (*.f64 #s(literal 1/3 binary64) x))))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
54.6%	1	`y`
54.6%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
54.6%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
54.6%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
54.6%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
54.6%	1	`(*.f64 #s(literal -2 binary64) x)`
54.6%	1	`x`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes16.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB 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))

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
6.8%	1	`x`
6.8%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
6.8%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
6.8%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
6.8%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
6.8%	1	`y`
6.8%	1	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes12.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB 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:

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

Results

Accuracy	Segments	Branch
4.5%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
4.5%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
4.5%	1	`(*.f64 #s(literal -2 binary64) x)`
4.5%	1	`y`
4.5%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
4.5%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
4.5%	1	`x`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.443360685653496e-6	639084116403136900.0
0.0ms	-0.7478840663866242	-0.04371805082864279

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.443360685653496e-6	639084116403136900.0
0.0ms	-0.7478840663866242	-0.04371805082864279

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.443360685653496e-6	639084116403136900.0
0.0ms	-0.04371805082864279	-1.2144160105995865e-9

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.443360685653496e-6	639084116403136900.0
0.0ms	-0.7478840663866242	-0.04371805082864279

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.443360685653496e-6	639084116403136900.0

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch22.0ms (0.4%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-319542058201568450.0	-2.721680342826748e-6

Samples

12.0ms

176×

valid

Compiler

Compiled 519 to 433 computations (16.6% saved)

Precisions

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

ival-exp: 2.0ms (27.7% of total)

ival-div: 1.0ms (13.9% of total)

ival-sub: 1.0ms (13.9% of total)

ival-add: 1.0ms (13.9% of total)

ival-mult: 1.0ms (13.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-319542058201568450.0	-2.721680342826748e-6

Samples

2.0ms

32×

valid

Compiler

Compiled 453 to 411 computations (9.3% saved)

Precisions

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-319542058201568450.0	-2.721680342826748e-6

Compiler

Compiled 464 to 411 computations (11.4% saved)

simplify35.0ms (0.6%)

Memory

19.7MiB live, 19.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	529
1	125	528
2	146	528
3	176	528
4	191	528
5	199	528
6	201	528

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1/2 binary64)) (exp.f64 (.f64 (log.f64 (pow.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)))) #s(literal -1 binary64))) #s(literal -1 binary64))) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x 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))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64))) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x 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))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 #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))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x 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))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 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)))
(if (<=.f64 x #s(literal -3/2 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 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)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1/2 binary64)) (exp.f64 (.f64 (log.f64 (pow.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)))) #s(literal -1 binary64))) #s(literal -1 binary64))) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x 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))))
(if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 (log.f64 (pow.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))))) (if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x 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))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64))) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x 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))))
(if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64))) (if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x 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))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 #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))))
(if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 #s(literal -4 binary64) x))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)) (-.f64 #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))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x 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))))
(if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (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)) (.f64 x x)) x 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))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 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)))
(if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal 5902958103587057/590295810358705651712 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 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)))
(if (<=.f64 x #s(literal -3/2 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 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)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

soundness1.5s (26.4%)

Memory

17.1MiB live, 17.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	370
1	283	352
2	821	350
3	2865	344
4	7647	344
0	8096	296
0	134	612
1	326	597
2	814	590
3	2386	582
4	6042	582
0	8182	542
0	32	197
0	52	197
1	256	197
2	1709	197
0	8702	197
0	49	164
1	119	164
2	234	154
3	604	154
4	1200	154
5	1777	154
6	2034	154
7	2609	154
8	3678	154
9	5741	154
10	6674	154
11	7080	154
12	7222	154
13	7282	154
14	7322	154
0	8037	133
0	9	31
0	14	31
1	53	31
2	371	31
3	5969	31
0	8136	31
0	39	245
0	63	241
1	311	241
2	2291	241
0	8824	237
0	150	554
1	363	544
2	885	533
3	2599	533
4	5933	533
0	8280	493

Stop Event

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

Compiler

Compiled 1 188 to 697 computations (41.3% saved)

preprocess77.0ms (1.4%)

Memory: 39.1MiB live, 39.1MiB allocated
Remove: (abs y)
Compiler: Compiled 1 232 to 318 computations (74.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	32	216
0	52	216
1	78	216
2	107	216
3	176	216
4	268	216
5	312	216
6	314	216
7	389	216
8	393	216
9	395	216
10	399	216
11	432	216
12	432	216
0	432	216

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

Iter	Nodes	Cost
0	32	216
0	52	216
1	78	216
2	107	216
3	176	216
4	268	216
5	312	216
6	314	216
7	389	216
8	393	216
9	395	216
10	399	216
11	432	216
12	432	216
0	432	216

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (20.5%)

explain129.0ms (2.3%)

preprocess25.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize41.0ms (0.7%)

series5.0ms (0.1%)

simplify181.0ms (3.2%)

rewrite115.0ms (2%)

eval39.0ms (0.7%)

prune18.0ms (0.3%)

simplify16.0ms (0.3%)

localize144.0ms (2.6%)

series14.0ms (0.3%)

simplify129.0ms (2.3%)

rewrite157.0ms (2.8%)

eval65.0ms (1.2%)

prune23.0ms (0.4%)

simplify39.0ms (0.7%)

localize195.0ms (3.5%)

series18.0ms (0.3%)

simplify114.0ms (2%)

rewrite158.0ms (2.8%)

eval71.0ms (1.3%)

prune25.0ms (0.4%)

simplify128.0ms (2.3%)

localize231.0ms (4.1%)

series15.0ms (0.3%)

simplify126.0ms (2.2%)

rewrite149.0ms (2.6%)

eval73.0ms (1.3%)

prune33.0ms (0.6%)

regimes68.0ms (1.2%)

regimes56.0ms (1%)

regimes49.0ms (0.9%)

regimes46.0ms (0.8%)

regimes43.0ms (0.8%)

regimes29.0ms (0.5%)

regimes25.0ms (0.4%)

regimes20.0ms (0.4%)

regimes19.0ms (0.3%)

regimes16.0ms (0.3%)

regimes12.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch22.0ms (0.4%)

bsearch6.0ms (0.1%)

bsearch2.0ms (0%)

simplify35.0ms (0.6%)

soundness1.5s (26.4%)

preprocess77.0ms (1.4%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	32	216
0	52	216
1	78	216
2	107	216
3	176	216
4	268	216
5	312	216
6	314	216
7	389	216
8	393	216
9	395	216
10	399	216
11	432	216
12	432	216
0	432	216