Metrics for Logistic function from Lakshay Garg

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.9s (26.9%)

Memory

11.9MiB live, 1 915.1MiB allocated

Samples

633.0ms	1 611×	2	valid
405.0ms	2 418×	1	valid
370.0ms	4 227×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-exp: 474.0ms (44.6% of total)

adjust: 189.0ms (17.8% of total)

ival-sub: 109.0ms (10.3% of total)

ival-div: 105.0ms (9.9% of total)

ival-add: 96.0ms (9% of total)

ival-mult: 67.0ms (6.3% of total)

exact: 11.0ms (1% of total)

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

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

Bogosity

explain182.0ms (2.6%)

Memory

-6.5MiB live, 190.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`	cancellation	130	1

Confusion

	Predicted +	Predicted -
+	130	0
-	0	126

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	0	2	124

Precision?

0.9848484848484849

Recall?

1.0

Freqs

test

number	freq
0	126
1	130

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms	80×	2	valid
30.0ms	256×	0	valid
27.0ms	176×	1	valid

Compiler

Compiled 119 to 44 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-exp: 21.0ms (31.7% of total)

ival-add: 15.0ms (22.6% of total)

ival-mult: 13.0ms (19.6% of total)

adjust: 6.0ms (9% of total)

ival-div: 6.0ms (9% of total)

ival-sub: 4.0ms (6% of total)

exact: 1.0ms (1.5% of total)

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

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

preprocess38.0ms (0.5%)

Memory

1.2MiB live, 38.7MiB 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	317	50
8	371	50
9	438	50
10	476	50
11	493	50
12	508	50
13	520	50
14	528	50
15	532	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs y)

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Compiler

Compiled 10 to 10 computations (0% saved)

simplify3.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #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

localize158.0ms (2.3%)

Memory

-2.7MiB live, 78.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.00390625	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	30.13319019173332	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Samples

129.0ms	88×	1	valid
12.0ms	40×	2	valid
9.0ms	128×	0	valid

Compiler

Compiled 72 to 22 computations (69.4% saved)

Precisions

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

ival-exp: 114.0ms (89.1% of total)

adjust: 3.0ms (2.3% of total)

ival-div: 3.0ms (2.3% of total)

ival-sub: 3.0ms (2.3% of total)

ival-add: 2.0ms (1.6% of total)

ival-mult: 2.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB 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)))

simplify430.0ms (6.2%)

Memory

11.8MiB live, 87.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

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

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

rewrite173.0ms (2.5%)

Memory

-24.9MiB live, 180.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 305

Calls

Call 1

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

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

eval38.0ms (0.5%)

Memory: 27.3MiB live, 64.9MiB allocated
Compiler: Compiled 7 921 to 1 122 computations (85.8% saved)

prune13.0ms (0.2%)

Memory

-12.1MiB live, 26.1MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	315	9	324
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	315	10	325

Accuracy

100.0%

Counts

325 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	30.9%	(-.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))
	30.5%	(-.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))
▶	29.9%	(-.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))
▶	4.3%	(-.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))
	6.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
▶	4.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	51.3%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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))))
▶	51.8%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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)))
	51.3%	#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 340 to 300 computations (11.8% saved)

simplify19.0ms (0.3%)

Memory

-16.4MiB live, 22.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
cost-diff	0	(pow.f64 x #s(literal 5 binary64))
cost-diff	0	(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))
cost-diff	0	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	257
0	56	257
1	89	257
2	130	257
3	197	257
4	291	257
5	334	257
6	336	257
7	408	257
8	416	257
9	421	257
10	425	257
11	458	257
12	458	257
0	458	257

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 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(pow.f64 x #s(literal 5 binary64))
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)
(pow.f64 x #s(literal 3 binary64))
#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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

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

localize122.0ms (1.8%)

Memory

20.2MiB live, 180.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.0390625	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
accuracy	30.13319019173332	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
accuracy	30.900459047590047	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
accuracy	0.0390625	(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
accuracy	0.1640625	(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
accuracy	19.250229178383798	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
accuracy	30.13319019173332	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
accuracy	0.00390625	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
accuracy	30.13319019173332	(-.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	30.494518903154532	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
accuracy	28.749042782111637	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
accuracy	30.13319019173332	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.0390625	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
accuracy	19.941309234019688	(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))
accuracy	30.148868453429092	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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)))

Samples

38.0ms	88×	1	valid
34.0ms	128×	0	valid
28.0ms	40×	2	valid

Compiler

Compiled 445 to 71 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-add: 14.0ms (19.2% of total)

ival-exp: 12.0ms (16.4% of total)

adjust: 11.0ms (15.1% of total)

const: 10.0ms (13.7% of total)

ival-mult: 10.0ms (13.7% of total)

ival-pow: 9.0ms (12.3% of total)

ival-div: 4.0ms (5.5% of total)

ival-sub: 2.0ms (2.7% of total)

exact: 1.0ms (1.4% of total)

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

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

series13.0ms (0.2%)

Memory

-16.4MiB live, 25.2MiB allocated

Counts

21 → 49

Calls

Call 1

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

Outputs
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 5)
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 3)
(+ 2 (* -4/3 x))
-2
(- (* 2 x) 2)
(- (* 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)))))
(* -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)))))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* x (+ 1 (/ 1 x)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 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 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (pow x 5) (+ (* (pow x 3) -1/3) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ 1 x))
4.0ms	x	@	-inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (pow x 5) (+ (* (pow x 3) -1/3) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ 1 x))
2.0ms	x	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (pow x 5) (+ (* (pow x 3) -1/3) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ 1 x))
0.0ms	y	@	-inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (pow x 5) (+ (* (pow x 3) -1/3) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ 1 x))
0.0ms	y	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (pow x 5) (+ (* (pow x 3) -1/3) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ 1 x))

simplify116.0ms (1.7%)

Memory

-10.3MiB live, 148.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	402
1	349	380
2	1120	378
3	3870	374
0	8626	330

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

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 5)
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 3)
(+ 2 (* -4/3 x))
-2
(- (* 2 x) 2)
(- (* 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)))))
(* -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)))))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* x (+ 1 (/ 1 x)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 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 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))

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

rewrite188.0ms (2.7%)

Memory

10.5MiB live, 187.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	235
0	56	235
1	270	235
2	2157	235
0	8299	235

Stop Event

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

Counts

21 → 434

Calls

Call 1

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

Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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)))
(.f64 (-.f64 (.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.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)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 15 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 10 binary64)) (.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.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)) (-.f64 (.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 10 binary64)) (.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))))) (fma.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 15 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 10 binary64))))) (neg.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))) x)))))
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(pow.f64 (/.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))) (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 16/9 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 16/9 binary64) (.f64 x x))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64))) (neg.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (*.f64 x #s(literal -8/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64))))))
(/.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))) (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (*.f64 x #s(literal -8/3 binary64)))))
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))) (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))
(.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)) (pow.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (+.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))) (pow.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))) #s(literal -1 binary64)))
(pow.f64 (/.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))) #s(literal -1 binary64))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (neg.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)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.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))))) (neg.f64 (neg.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 (-.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 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (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 (neg.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))) (neg.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.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)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.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 (neg.f64 (+.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)))) (neg.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 (-.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)) (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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) (neg.f64 (/.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))))))
(/.f64 (+.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))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.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 (+.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))) (-.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 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 (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))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)

eval79.0ms (1.1%)

Memory: 12.0MiB live, 86.0MiB allocated
Compiler: Compiled 16 477 to 1 896 computations (88.5% saved)

prune42.0ms (0.6%)

Memory

-33.0MiB live, 49.6MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	472	10	482
Fresh	3	1	4
Picked	2	3	5
Done	0	1	1
Total	477	15	492

Accuracy

100.0%

Counts

492 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	30.9%	(-.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))
	30.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	29.9%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	27.9%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
▶	28.3%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
	27.1%	(-.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))
▶	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)) #s(literal 1 binary64))
▶	6.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	4.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	51.5%	#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))
▶	52.9%	#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))
	51.3%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
▶	4.6%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))))

Compiler

Compiled 568 to 471 computations (17.1% saved)

simplify28.0ms (0.4%)

Memory

12.0MiB live, 49.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 x #s(literal 5 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))
cost-diff	0	#s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)))
cost-diff	0	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
cost-diff	0	(+.f64 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	50	337
0	70	329
1	118	329
2	195	329
3	328	329
4	489	325
5	545	325
6	547	325
7	663	325
8	671	325
9	676	325
10	680	325
11	713	325
12	713	325
0	713	317

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

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

localize176.0ms (2.5%)

Memory

5.6MiB live, 198.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 5 binary64))
accuracy	0.046875	(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))
accuracy	30.148868453429092	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))))
accuracy	31.4689484922001	#s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)))
accuracy	0.1640625	(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
accuracy	19.250229178383798	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))
accuracy	30.13319019173332	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
accuracy	31.849890707774833	#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))
accuracy	0.0390625	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
accuracy	0.1015625	(.f64 (.f64 x x) x)
accuracy	30.13319019173332	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
accuracy	30.900459047590047	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	30.13319019173332	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	30.383370951319456	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0390625	(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	0.046875	(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
accuracy	30.148868453429092	#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

47.0ms	88×	1	valid
42.0ms	128×	0	valid
32.0ms	40×	2	valid

Compiler

Compiled 545 to 98 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 22.0ms (24.4% of total)

ival-add: 16.0ms (17.8% of total)

adjust: 13.0ms (14.4% of total)

ival-exp: 12.0ms (13.3% of total)

const: 11.0ms (12.2% of total)

ival-pow: 9.0ms (10% of total)

ival-div: 3.0ms (3.3% of total)

ival-sub: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series9.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

21 → 44

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	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)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (* (pow x 5) 2/15) (pow x 5) (* (* x x) x) (+ (* -4/3 x) 2))
3.0ms	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)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (* (pow x 5) 2/15) (pow x 5) (* (* x x) x) (+ (* -4/3 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)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (* (pow x 5) 2/15) (pow x 5) (* (* x x) x) (+ (* -4/3 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)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (* (pow x 5) 2/15) (pow x 5) (* (* x x) x) (+ (* -4/3 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)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (* (pow x 5) 2/15) (pow x 5) (* (* x x) x) (+ (* -4/3 x) 2))

simplify116.0ms (1.7%)

Memory

6.4MiB live, 126.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	381
1	323	355
2	1049	355
3	3643	351
0	8638	321

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 43

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)))))
(pow x 2)
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* 2/15 (pow x 5))
(pow x 5)
(+ 2 (* -4/3 x))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* (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)))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(+ 1 (exp (* -2 x)))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))

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

rewrite168.0ms (2.4%)

Memory

1.6MiB live, 199.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	301
0	70	293
1	313	293
2	2401	289
0	8430	281

Stop Event

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

Counts

21 → 404

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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))))
#s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))
(pow.f64 x #s(literal 5 binary64))
(.f64 (.f64 x x) x)
(fma.f64 #s(literal -4/3 binary64) 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 (-.f64 (.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 4/225 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64))) (pow.f64 (-.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)) #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 x (-.f64 x (fma.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))))))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 15 binary64)) #s(literal 8/3375 binary64) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 4/225 binary64) (.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 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 x (-.f64 x (fma.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))))))) (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))
(pow.f64 (/.f64 (-.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 (pow.f64 x #s(literal 10 binary64)) #s(literal 4/225 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 4/225 binary64) (.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))))) (fma.f64 (pow.f64 x #s(literal 15 binary64)) #s(literal 8/3375 binary64) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))) #s(literal 1/2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))))))
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 (exp ( -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))))
(neg.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))))
#s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)))
(.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2/15 binary64) x)) x)
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/15 binary64)) (*.f64 x x))
(.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)))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) x)
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x) (*.f64 x x))
(.f64 (.f64 #s(literal 2/15 binary64) x) (*.f64 x (pow.f64 x #s(literal 3 binary64))))
(.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))))
(.f64 (pow.f64 x #s(literal 5/2 binary64)) (.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2/15 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))
(.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(.f64 (.f64 x x) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(.f64 x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x))
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
(pow.f64 x #s(literal 5 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 5/2 binary64) (*.f64 (log.f64 x) #s(literal 5/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 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 #s(literal 16/9 binary64) (.f64 x x) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))) (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 16/9 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 16/9 binary64) (.f64 x x))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64))) (neg.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (*.f64 x #s(literal -8/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64))))))
(/.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))) (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (*.f64 x #s(literal -8/3 binary64)))))
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))) (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 16/9 binary64) (.f64 x x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))

eval256.0ms (3.7%)

Memory: -18.7MiB live, 63.4MiB allocated
Compiler: Compiled 16 066 to 1 616 computations (89.9% saved)

prune18.0ms (0.3%)

Memory

-3.5MiB live, 35.4MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	419	7	426
Fresh	3	3	6
Picked	2	3	5
Done	0	4	4
Total	424	17	441

Accuracy

100.0%

Counts

441 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	30.9%	(-.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))
	30.5%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	29.9%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	27.9%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
✓	28.3%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
▶	27.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
▶	27.1%	(-.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))
✓	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
▶	6.2%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
✓	6.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
	6.2%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
✓	4.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	51.5%	#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))
▶	52.9%	#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))
▶	4.6%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) x)))
	4.6%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x) (*.f64 x x))))

Compiler

Compiled 676 to 526 computations (22.2% saved)

simplify143.0ms (2.1%)

Memory

13.9MiB live, 130.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
cost-diff	384	(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
cost-diff	0	(.f64 (.f64 x x) #s(literal 2/15 binary64))
cost-diff	0	#s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) x))
cost-diff	0	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) x)))
cost-diff	320	(.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) 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 x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x))
cost-diff	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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	463
0	78	455
1	134	453
2	240	447
3	471	421
4	893	413
5	2240	413
6	7382	413
0	8101	386

Stop Event

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

Calls

Call 1

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

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

localize159.0ms (2.3%)

Memory

3.1MiB live, 156.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
accuracy	15.193524761962717	(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	30.13319019173332	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
accuracy	30.383370951319456	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
accuracy	19.250229178383798	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))
accuracy	30.13319019173332	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
accuracy	31.849890707774833	#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x))
accuracy	32.44559188940316	#s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x))
accuracy	0.0625	(.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) x)
accuracy	0.15234375	(.f64 (.f64 x x) #s(literal 2/15 binary64))
accuracy	30.148868453429092	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) x)))
accuracy	31.4689484922001	#s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) x))
accuracy	0.00390625	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
accuracy	30.13319019173332	(-.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	30.494518903154532	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
accuracy	32.42836613785686	#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
accuracy	0.0234375	(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
accuracy	0.046875	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
accuracy	0.11328125	(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x))
accuracy	30.148868453429092	#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))

Samples

53.0ms	88×	1	valid
41.0ms	128×	0	valid
34.0ms	40×	2	valid

Compiler

Compiled 717 to 109 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 25.0ms (25.1% of total)

ival-add: 15.0ms (15% of total)

adjust: 14.0ms (14% of total)

ival-exp: 13.0ms (13% of total)

const: 12.0ms (12% of total)

ival-pow: 9.0ms (9% of total)

ival-div: 6.0ms (6% of total)

ival-sub: 4.0ms (4% of total)

exact: 1.0ms (1% of total)

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

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

series10.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

22 → 54

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (+ (* (* x x) 2/15) -1/3) (* x x)) (+ (* (* x x) 2/15) -1/3) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (* (* (* (* x x) 2/15) (* x x)) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (* (* x x) 2/15) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (/ 1 (/ (- x 1) (+ (* x x) -1))) (/ (- x 1) (+ (* x x) -1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (+ (* (* x x) 2/15) -1/3) (* x x)) x) x) (+ (* -4/3 x) 2))
3.0ms	x	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (+ (* (* x x) 2/15) -1/3) (* x x)) (+ (* (* x x) 2/15) -1/3) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (* (* (* (* x x) 2/15) (* x x)) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (* (* x x) 2/15) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (/ 1 (/ (- x 1) (+ (* x x) -1))) (/ (- x 1) (+ (* x x) -1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (+ (* (* x x) 2/15) -1/3) (* x x)) x) x) (+ (* -4/3 x) 2))
2.0ms	x	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (+ (* (* x x) 2/15) -1/3) (* x x)) (+ (* (* x x) 2/15) -1/3) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (* (* (* (* x x) 2/15) (* x x)) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (* (* x x) 2/15) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (/ 1 (/ (- x 1) (+ (* x x) -1))) (/ (- x 1) (+ (* x x) -1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (+ (* (* x x) 2/15) -1/3) (* x x)) x) x) (+ (* -4/3 x) 2))
0.0ms	y	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (+ (* (* x x) 2/15) -1/3) (* x x)) (+ (* (* x x) 2/15) -1/3) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (* (* (* (* x x) 2/15) (* x x)) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (* (* x x) 2/15) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (/ 1 (/ (- x 1) (+ (* x x) -1))) (/ (- x 1) (+ (* x x) -1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (+ (* (* x x) 2/15) -1/3) (* x x)) x) x) (+ (* -4/3 x) 2))
0.0ms	y	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (+ (* (* x x) 2/15) -1/3) (* x x)) (+ (* (* x x) 2/15) -1/3) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (* (* (* (* x x) 2/15) (* x x)) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (* (* x x) 2/15) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (/ 1 (/ (- x 1) (+ (* x x) -1))) (/ (- x 1) (+ (* x x) -1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (+ (* (* x x) 2/15) -1/3) (* x x)) x) x) (+ (* -4/3 x) 2))

simplify215.0ms (3.1%)

Memory

-7.9MiB live, 188.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	479
1	370	451
2	1057	447
3	3431	437
0	8223	404

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 53

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))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(pow x 2)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* 2/15 (pow x 5))
(* 2/15 (pow x 2))
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 2 (* -4/3 x))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* (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)))))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(* x (+ 1 (/ 1 x)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))

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

rewrite167.0ms (2.4%)

Memory

-4.2MiB live, 150.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	398
0	78	390
1	343	360
2	2555	354
0	8209	327

Stop Event

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

Counts

22 → 336

Calls

Call 1

Inputs
#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 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) x)))
#s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) x))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
#s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) 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))
(.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
(.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
(/.f64 (.f64 (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (.f64 x x)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (.f64 x x)) (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/45 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #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 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #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 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #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 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #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 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #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 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (neg.f64 x)) (fma.f64 (pow.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #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 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #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 (.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #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 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) x) (*.f64 x x) 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 (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x) x x)
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
(fma.f64 x (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1 binary64) x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (neg.f64 x))) (/.f64 (.f64 x 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)) (neg.f64 x))))
(+.f64 (.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 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))))
#s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x))

eval50.0ms (0.7%)

Memory: 11.7MiB live, 84.8MiB allocated
Compiler: Compiled 14 016 to 1 541 computations (89% saved)

prune34.0ms (0.5%)

Memory

-20.5MiB live, 28.5MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	389	6	395
Fresh	4	1	5
Picked	3	2	5
Done	3	4	7
Total	399	13	412

Accuracy

100.0%

Counts

412 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	4.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
	5.2%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))
✓	6.2%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
	30.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64))
	4.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	29.9%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	30.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
✓	6.3%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	4.1%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	51.5%	#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))
✓	52.9%	#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))
	51.3%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (+ ( (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))

Compiler

Compiled 1 075 to 417 computations (61.2% saved)

regimes63.0ms (0.9%)

Memory

20.1MiB live, 58.6MiB allocated

Counts

33 → 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 #s(approx (+ ( (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (-.f64 #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 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x) (*.f64 x x))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) x)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.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)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) #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 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.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))
#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))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (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))))

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

Calls

7 calls:

13.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
9.0ms	(*.f64 #s(literal -2 binary64) x)
9.0ms	y
9.0ms	x
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`
64.2%	5	`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)

regimes46.0ms (0.7%)

Memory

-11.5MiB live, 63.1MiB 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 #s(approx (+ ( (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (-.f64 #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 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x) (*.f64 x x))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) x)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 #s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.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)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) #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 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Outputs

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

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

Calls

6 calls:

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

regimes45.0ms (0.6%)

Memory

22.7MiB live, 63.9MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

10.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
8.0ms	(*.f64 #s(literal -2 binary64) x)
8.0ms	x
6.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
6.0ms	(-.f64 (/.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
78.6%	2	`x`
78.6%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
78.6%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
78.6%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
78.6%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
78.6%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes28.0ms (0.4%)

Memory

-25.7MiB live, 49.5MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.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 #s(approx (+ ( (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (-.f64 #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 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x) (*.f64 x x))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) x)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #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))

Outputs

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

Results

Accuracy	Segments	Branch
78.3%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
78.3%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
78.3%	2	`(*.f64 #s(literal -2 binary64) x)`
78.3%	2	`x`
78.3%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
78.3%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes26.0ms (0.4%)

Memory

11.2MiB live, 48.7MiB 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 #s(approx (+ ( (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (-.f64 #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 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x) (*.f64 x x))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) x)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

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

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

Calls

6 calls:

6.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
4.0ms	x
4.0ms	(*.f64 #s(literal -2 binary64) x)
3.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
77.6%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
77.6%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
77.6%	2	`(*.f64 #s(literal -2 binary64) x)`
77.6%	2	`x`
77.6%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
77.6%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes35.0ms (0.5%)

Memory

7.3MiB live, 52.9MiB 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 #s(approx (+ ( (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (-.f64 #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 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
77.1%	2	`(*.f64 #s(literal -2 binary64) x)`
77.1%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
77.1%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
77.1%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
77.1%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
77.1%	2	`x`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes16.0ms (0.2%)

Memory

3.9MiB live, 41.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
2.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	x
2.0ms	y
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
51.3%	1	`y`
51.3%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
51.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
51.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
51.3%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
51.3%	1	`(*.f64 #s(literal -2 binary64) x)`
51.3%	1	`x`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes14.0ms (0.2%)

Memory

-14.7MiB live, 24.1MiB 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:

4.0ms	y
2.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
6.3%	1	`x`
6.3%	1	`y`
6.3%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
6.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
6.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
6.3%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
6.3%	1	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes8.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
4.1%	1	`x`
4.1%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
4.1%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
4.1%	1	`y`
4.1%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
4.1%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
4.1%	1	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.027422699916887686	66.4091373348352
0.0ms	-1499969751.3121412	-3.8476545492202545e-12

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0032093941626240613	0.027422699916887686
0.0ms	-1499969751.3121412	-3.8476545492202545e-12

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.8834213059723093e-29	0.9862895092266508

Compiler

Compiled 13 to 16 computations (-23.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.8834213059723093e-29	0.9862895092266508

Compiler

Compiled 13 to 16 computations (-23.1% saved)

bsearch17.0ms (0.3%)

Memory

-14.6MiB live, 24.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-33.2045686674176	-0.013711349958443843

Samples

11.0ms

128×

valid

Compiler

Compiled 461 to 367 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (52.1% of total)

ival-sub: 1.0ms (13% of total)

ival-exp: 1.0ms (13% of total)

ival-add: 1.0ms (13% of total)

ival-mult: 1.0ms (13% of total)

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

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-33.2045686674176	-0.013711349958443843

Samples

4.0ms

64×

valid

Compiler

Compiled 437 to 359 computations (17.8% saved)

Precisions

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

ival-exp: 1.0ms (42% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify68.0ms (1%)

Memory

-11.5MiB live, 73.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	397
1	118	397
2	150	397
3	221	381
4	346	381
5	1023	381
6	3196	381
7	6868	381

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1000000000 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 3602879701896397/72057594037927936 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 #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 -1000000000 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 5764607523034235/1152921504606846976 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) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 8920298079412249/178405961588244985132285746181186892047843328 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 8920298079412249/178405961588244985132285746181186892047843328 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) 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 -1 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (+ ( (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (+ ( (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (+ ( (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x 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 -1000000000 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 3602879701896397/72057594037927936 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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (or (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1000000000 binary64)) (not (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3602879701896397/72057594037927936 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(approx (- (/ 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)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1000000000 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 5764607523034235/1152921504606846976 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) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (or (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1000000000 binary64)) (not (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 5764607523034235/1152921504606846976 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #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 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 8920298079412249/178405961588244985132285746181186892047843328 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp ( -2 x)))) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 8920298079412249/178405961588244985132285746181186892047843328 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (pow.f64 #s(approx (/ (- x 1) (+ (* x x) -1)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(approx (- (/ 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 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 8920298079412249/178405961588244985132285746181186892047843328 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) 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 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 8920298079412249/178405961588244985132285746181186892047843328 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (pow.f64 #s(approx (/ (- x 1) (+ (* x x) -1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #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 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (+ ( (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (pow.f64 #s(approx (/ (- x 1) (+ (* x x) -1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (+ ( (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x 1) (+ (* x x) -1)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (+ ( (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (pow.f64 #s(approx (/ (- x 1) (+ (* x x) -1)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (+ ( (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (.f64 #s(approx (+ ( (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x 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 (21%)

Memory

3.4MiB live, 726.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	479
1	370	451
2	1057	447
3	3431	437
0	8223	404
0	50	301
0	70	293
1	313	293
2	2401	289
0	8430	281
0	128	402
1	349	380
2	1120	378
3	3870	374
0	8626	330
0	49	164
1	119	164
2	234	154
3	604	154
4	1200	154
5	1777	154
6	2034	154
7	2614	154
8	3767	154
9	5803	154
10	6734	154
11	7144	154
12	7286	154
13	7346	154
14	7386	154
0	8029	133

Stop Event

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

Compiler

Compiled 764 to 426 computations (44.2% saved)

preprocess74.0ms (1.1%)

Memory: -1.3MiB live, 83.0MiB allocated
Remove: (abs y)
Compiler: Compiled 914 to 268 computations (70.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	317	50
8	371	50
9	438	50
10	476	50
11	493	50
12	508	50
13	520	50
14	528	50
15	532	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

Iter	Nodes	Cost
0	35	257
0	56	257
1	89	257
2	130	257
3	197	257
4	291	257
5	334	257
6	336	257
7	408	257
8	416	257
9	421	257
10	425	257
11	458	257
12	458	257
0	458	257

Iter	Nodes	Cost
0	50	337
0	70	329
1	118	329
2	195	329
3	328	329
4	489	325
5	545	325
6	547	325
7	663	325
8	671	325
9	676	325
10	680	325
11	713	325
12	713	325
0	713	317

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	317	50
8	371	50
9	438	50
10	476	50
11	493	50
12	508	50
13	520	50
14	528	50
15	532	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

Iter	Nodes	Cost
0	35	257
0	56	257
1	89	257
2	130	257
3	197	257
4	291	257
5	334	257
6	336	257
7	408	257
8	416	257
9	421	257
10	425	257
11	458	257
12	458	257
0	458	257

Iter	Nodes	Cost
0	50	337
0	70	329
1	118	329
2	195	329
3	328	329
4	489	325
5	545	325
6	547	325
7	663	325
8	671	325
9	676	325
10	680	325
11	713	325
12	713	325
0	713	317

start0.0ms (0%)

analyze0.0ms (0%)

sample1.9s (26.9%)

explain182.0ms (2.6%)

preprocess38.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize158.0ms (2.3%)

series5.0ms (0.1%)

simplify430.0ms (6.2%)

rewrite173.0ms (2.5%)

eval38.0ms (0.5%)

prune13.0ms (0.2%)

simplify19.0ms (0.3%)

localize122.0ms (1.8%)

series13.0ms (0.2%)

simplify116.0ms (1.7%)

rewrite188.0ms (2.7%)

eval79.0ms (1.1%)

prune42.0ms (0.6%)

simplify28.0ms (0.4%)

localize176.0ms (2.5%)

series9.0ms (0.1%)

simplify116.0ms (1.7%)

rewrite168.0ms (2.4%)

eval256.0ms (3.7%)

prune18.0ms (0.3%)

simplify143.0ms (2.1%)

localize159.0ms (2.3%)

series10.0ms (0.1%)

simplify215.0ms (3.1%)

rewrite167.0ms (2.4%)

eval50.0ms (0.7%)

prune34.0ms (0.5%)

regimes63.0ms (0.9%)

regimes46.0ms (0.7%)

regimes45.0ms (0.6%)

regimes28.0ms (0.4%)

regimes26.0ms (0.4%)

regimes35.0ms (0.5%)

regimes16.0ms (0.2%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.3%)

bsearch8.0ms (0.1%)

simplify68.0ms (1%)

soundness1.5s (21%)

preprocess74.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	317	50
8	371	50
9	438	50
10	476	50
11	493	50
12	508	50
13	520	50
14	528	50
15	532	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

Iter	Nodes	Cost
0	35	257
0	56	257
1	89	257
2	130	257
3	197	257
4	291	257
5	334	257
6	336	257
7	408	257
8	416	257
9	421	257
10	425	257
11	458	257
12	458	257
0	458	257

Iter	Nodes	Cost
0	50	337
0	70	329
1	118	329
2	195	329
3	328	329
4	489	325
5	545	325
6	547	325
7	663	325
8	671	325
9	676	325
10	680	325
11	713	325
12	713	325
0	713	317