Metrics for 3frac (problem 3.3.3)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze4.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
75%	37.5%	12.5%	50%	0%	0%	0%	3
87.5%	43.8%	6.3%	50%	0%	0%	0%	4
93.8%	46.9%	3.1%	50%	0%	0%	0%	5
96.9%	48.4%	1.6%	50%	0%	0%	0%	6
98.4%	49.2%	0.8%	50%	0%	0%	0%	7
99.2%	49.6%	0.4%	50%	0%	0%	0%	8
99.6%	49.8%	0.2%	50%	0%	0%	0%	9
99.8%	49.9%	0.1%	50%	0%	0%	0%	10
99.9%	50%	0%	50%	0%	0%	0%	11
100%	50%	0%	50%	0%	0%	0%	12

Compiler

Compiled 20 to 13 computations (35% saved)

sample1.8s (22.1%)

Memory

67.0MiB live, 1 696.9MiB allocated

Samples

1.2s	7 289×	1	valid
117.0ms	530×	2	valid
30.0ms	437×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-div: 352.0ms (30.1% of total)

adjust: 331.0ms (28.3% of total)

ival-add: 216.0ms (18.4% of total)

ival-sub: 181.0ms (15.5% of total)

ival-fabs: 53.0ms (4.5% of total)

ival->: 25.0ms (2.1% of total)

exact: 9.0ms (0.8% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain292.0ms (3.7%)

Memory

0.4MiB live, 196.1MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`	cancellation	82	0

Confusion

	Predicted +	Predicted -
+	82	0
-	0	174

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	82	0	0
-	0	0	174

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	174
1	82

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

189.0ms	438×	1	valid
8.0ms	34×	2	valid
3.0ms	40×	0	valid

Compiler

Compiled 111 to 34 computations (69.4% saved)

Precisions

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

ival-div: 21.0ms (39.4% of total)

adjust: 13.0ms (24.4% of total)

ival-add: 9.0ms (16.9% of total)

ival-sub: 9.0ms (16.9% of total)

exact: 1.0ms (1.9% of total)

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

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

preprocess46.0ms (0.6%)

Memory

10.8MiB live, 46.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	32	32
2	87	30
3	223	30
4	441	30
5	556	30
6	600	30
7	608	30
0	10	15
0	17	15
1	28	15
2	46	15
3	74	15
4	134	15
5	248	15
6	399	15
7	521	15
8	592	15
0	592	15

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(negabs x)

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.6%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify26.0ms (0.3%)

Memory

-31.0MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	46
0	17	46
1	28	46
2	46	46
3	74	46
4	134	46
5	248	46
6	399	46
7	521	46
8	592	46
0	592	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize52.0ms (0.6%)

Memory

14.1MiB live, 52.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	0.03515625	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
accuracy	18.110648678131373	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Samples

31.0ms	219×	1	valid
4.0ms	17×	2	valid
2.0ms	20×	0	valid

Compiler

Compiled 48 to 12 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 10.0ms (38.3% of total)

adjust: 6.0ms (23% of total)

ival-add: 5.0ms (19.2% of total)

ival-sub: 4.0ms (15.3% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

4 → 33

Calls

Call 1

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

Outputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) 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)
x
(* x (+ 1 (/ 1 x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) 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))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify148.0ms (1.9%)

Memory

9.0MiB live, 167.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	361
1	260	341
2	675	321
3	2171	309
4	7057	307
0	8572	301

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

Calls

Call 1

Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) 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)
x
(* x (+ 1 (/ 1 x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) 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))

Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ (- x 2) x)
(/.f64 (-.f64 x #s(literal 2 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(-.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) x) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)

rewrite235.0ms (2.9%)

Memory

4.8MiB live, 319.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
0	17	32
1	94	32
2	1095	32
0	8514	29

Stop Event

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

Counts

4 → 383

Calls

Call 1

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

Outputs
(*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
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(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (log1p.f64 x))

eval50.0ms (0.6%)

Memory: 22.0MiB live, 94.2MiB allocated
Compiler: Compiled 12 911 to 1 479 computations (88.5% saved)

prune19.0ms (0.2%)

Memory

-20.4MiB live, 26.3MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	394	14	408
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	394	15	409

Accuracy

99.8%

Counts

409 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.8%	(/.f64 (fma.f64 (/.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (.f64 x (-.f64 x #s(literal 1 binary64))))
▶	21.1%	(/.f64 (fma.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
	22.4%	(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
	71.7%	(/.f64 (+.f64 x (.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
	21.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))))
	17.8%	(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
	17.8%	(+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
	17.8%	(+.f64 (-.f64 (/.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓	71.6%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
	3.9%	(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶	70.6%	(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
	70.6%	(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶	98.8%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
▶	5.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
	93.6%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)))

Compiler

Compiled 667 to 388 computations (41.8% saved)

simplify129.0ms (1.6%)

Memory

15.0MiB live, 126.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	2	(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
cost-diff	3	(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
cost-diff	3	(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff	10	(fma.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (.f64 x (-.f64 x #s(literal 1 binary64))))
cost-diff	1	(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff	3	(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))
cost-diff	0	(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	285
0	60	264
1	111	264
2	233	243
3	607	243
4	1742	239
5	5390	221
0	8467	217

Stop Event

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

Calls

Call 1

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

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

localize275.0ms (3.4%)

Memory

-3.1MiB live, 204.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	0.08984375	(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
accuracy	0.1773352832610805	(/.f64 (fma.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
accuracy	61.030302871105455	(fma.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy	0.0	(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	0.1171875	(/.f64 (fma.f64 (/.f64 (-.f64 x (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (.f64 x (-.f64 x #s(literal 1 binary64))))
accuracy	59.45248041953402	(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	0.01953125	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
accuracy	0.6098476403701492	#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))
accuracy	18.110648678131373	(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy	0.0	(/.f64 #s(literal -2 binary64) x)
accuracy	60.67787771501511	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.1851477832610805	(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.6063466316826138	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))

Samples

188.0ms	131×	2	valid
57.0ms	121×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 265 to 34 computations (87.2% saved)

Precisions

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

ival-div: 74.0ms (40.6% of total)

ival-add: 55.0ms (30.2% of total)

adjust: 21.0ms (11.5% of total)

ival-mult: 20.0ms (11% of total)

ival-sub: 8.0ms (4.4% of total)

ival-pow: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

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

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

series25.0ms (0.3%)

Memory

-18.0MiB live, 19.3MiB allocated

Counts

19 → 55

Calls

Call 1

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

Outputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(pow x 3)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(/ -1 (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(/ -1 x)
(/ (- (* -1 x) 1) x)
-2
(- (* -1 x) 2)
2
(+ 2 (* 2 x))
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(* -1 x)
(* x (- (pow x 2) 1))
x
(* x (+ 1 x))
-1
(- x 1)
(* x (- x 1))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(* -1 (+ 1 (/ 1 x)))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (/ 1 x) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ (- (/ -1 x) 1) x) (- (/ -1 x) 1) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)) (* (* (+ x 1) x) 1) (- x 1) (* x (- x 1)) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))))
4.0ms	x	@	0	((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ (- (/ -1 x) 1) x) (- (/ -1 x) 1) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)) (* (* (+ x 1) x) 1) (- x 1) (* x (- x 1)) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))))
4.0ms	x	@	-inf	((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ (- (/ -1 x) 1) x) (- (/ -1 x) 1) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)) (* (* (+ x 1) x) 1) (- x 1) (* x (- x 1)) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))))

Time

Variable

Point

Expression

16.0ms

inf

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

4.0ms

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

4.0ms

-inf

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

simplify136.0ms (1.7%)

Memory

23.1MiB live, 175.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	467
1	402	443
2	1057	417
3	3470	404
0	8493	391

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 54

Calls

Call 1

Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(pow x 3)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(/ -1 (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(/ -1 x)
(/ (- (* -1 x) 1) x)
-2
(- (* -1 x) 2)
2
(+ 2 (* 2 x))
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(* -1 x)
(* x (- (pow x 2) 1))
x
(* x (+ 1 x))
-1
(- x 1)
(* x (- x 1))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(* -1 (+ 1 (/ 1 x)))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (/ 1 x) 1)))

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

rewrite275.0ms (3.4%)

Memory

-29.8MiB live, 316.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	223
0	60	217
1	272	204
2	2543	204
0	8470	191

Stop Event

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

Counts

19 → 609

Calls

Call 1

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

Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal -3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) (neg.f64 x))
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
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(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x)))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (neg.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x))) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(-.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 #s(literal -2 binary64) x))
(+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)))

eval102.0ms (1.3%)

Memory: 7.5MiB live, 191.4MiB allocated
Compiler: Compiled 30 675 to 2 758 computations (91% saved)

prune25.0ms (0.3%)

Memory

-14.2MiB live, 71.5MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	909	9	918
Fresh	7	2	9
Picked	4	1	5
Done	0	1	1
Total	920	13	933

Accuracy

100.0%

Counts

933 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.8%	(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
▶	21.1%	(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
	71.8%	(/.f64 (fma.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
	22.4%	(/.f64 (+.f64 (fma.f64 x x x) (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)))) (.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
	98.9%	(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
▶	17.8%	(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓	71.6%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶	98.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
	98.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
▶	98.7%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x)))
✓	5.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
▶	99.1%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
	93.6%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)))

Compiler

Compiled 568 to 351 computations (38.2% saved)

simplify215.0ms (2.7%)

Memory

21.8MiB live, 178.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
cost-diff	1	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
cost-diff	3	(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
cost-diff	10	(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
cost-diff	0	(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
cost-diff	0	(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff	1	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff	3	(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
cost-diff	2	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x)))
cost-diff	2	(.f64 (.f64 x x) x)
cost-diff	0	(pow.f64 x #s(literal -3 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	36	232
0	59	216
1	99	206
2	174	196
3	420	189
4	1426	189
5	3270	179
0	8584	179

Stop Event

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

Calls

Call 1

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

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

localize183.0ms (2.3%)

Memory

-24.4MiB live, 179.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.09765625	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
accuracy	0.1773352832610805	(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
accuracy	61.030302871105455	(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy	18.110648678131373	(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy	30.05328734319299	(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.078125	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
accuracy	0.6063466316826138	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
accuracy	1.4769434672124182	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.09375	(.f64 (.f64 x x) x)
accuracy	0.1851477832610805	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x))
accuracy	0.6063466316826138	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x)))
accuracy	0.0	(pow.f64 x #s(literal -3 binary64))
accuracy	0.0	(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
accuracy	0.6063466316826138	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))

Samples

123.0ms	235×	1	valid
10.0ms	17×	2	valid
1.0ms	4×	0	valid

Compiler

Compiled 226 to 35 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-div: 36.0ms (35% of total)

ival-mult: 21.0ms (20.4% of total)

ival-add: 18.0ms (17.5% of total)

adjust: 18.0ms (17.5% of total)

ival-sub: 7.0ms (6.8% of total)

ival-pow: 3.0ms (2.9% of total)

exact: 1.0ms (1% of total)

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

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

series9.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

19 → 37

Calls

Call 1

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

Outputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ 1 (pow x 3))
(pow x 3)
(pow x 2)
(/ 2 (pow x 2))
-2
(- (* -1 x) 2)
x
(* x (+ 1 x))
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
2
(* -1 x)
(* x (- (pow x 2) 1))
1
(+ 1 x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify141.0ms (1.8%)

Memory

1.7MiB live, 154.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	318
1	269	300
2	748	287
3	2977	272
4	7735	272
0	8356	266

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 36

Calls

Call 1

Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ 1 (pow x 3))
(pow x 3)
(pow x 2)
(/ 2 (pow x 2))
-2
(- (* -1 x) 2)
x
(* x (+ 1 x))
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
2
(* -1 x)
(* x (- (pow x 2) 1))
1
(+ 1 x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))

Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
-2
#s(literal -2 binary64)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
x
(* x (+ 1 x))
(fma.f64 x x x)
(/ (- x 2) x)
(/.f64 (-.f64 x #s(literal 2 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(-.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) x) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 2 binary64)) x))
2
#s(literal 2 binary64)
(* -1 x)
(neg.f64 x)
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal 1 binary64)) x)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal 1 binary64)) x)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)

rewrite236.0ms (3%)

Memory

-5.1MiB live, 271.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	193
0	59	176
1	273	176
2	2612	176
0	8651	173

Stop Event

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

Counts

19 → 761

Calls

Call 1

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

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

eval85.0ms (1.1%)

Memory: 8.4MiB live, 116.8MiB allocated
Compiler: Compiled 18 811 to 2 169 computations (88.5% saved)

prune47.0ms (0.6%)

Memory

6.6MiB live, 62.7MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	645	2	647
Fresh	3	3	6
Picked	2	3	5
Done	1	1	2
Total	651	9	660

Accuracy

100.0%

Counts

660 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.4%	(/.f64 (+.f64 (fma.f64 x x x) (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)))) (.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
▶	99.6%	(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
▶	98.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
✓	98.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
▶	98.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
✓	98.7%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x)))
✓	5.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
✓	99.1%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
▶	93.6%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)))

Compiler

Compiled 350 to 226 computations (35.4% saved)

simplify597.0ms (7.5%)

Memory

7.1MiB live, 233.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
cost-diff	1	(*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)))
cost-diff	3	(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
cost-diff	3	(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
cost-diff	10	(+.f64 (fma.f64 x x x) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
cost-diff	2	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
cost-diff	2	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
cost-diff	1	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	319
0	77	292
1	130	290
2	259	290
3	635	276
4	1991	268
5	4579	238
0	8384	237

Stop Event

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

Calls

Call 1

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

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

localize257.0ms (3.2%)

Memory

-0.8MiB live, 351.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.177343010628704	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.21983824338406427	(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy	1.4769434672124182	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	3.840989798485961	(.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x))
accuracy	0.0	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy	0.08984375	(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
accuracy	0.1773352832610805	(/.f64 (+.f64 (fma.f64 x x x) (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)))) (.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
accuracy	60.30433244111744	(+.f64 (fma.f64 x x x) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))))
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.078125	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
accuracy	0.140625	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
accuracy	0.6063466316826138	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.1171875	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
accuracy	0.6063466316826138	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0	#s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64))
accuracy	0.09765625	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
accuracy	0.1773352832610805	(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))

Samples

189.0ms	235×	1	valid
15.0ms	17×	2	valid
1.0ms	4×	0	valid

Compiler

Compiled 295 to 40 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-add: 67.0ms (44.6% of total)

ival-div: 33.0ms (22% of total)

adjust: 20.0ms (13.3% of total)

ival-mult: 18.0ms (12% of total)

ival-sub: 6.0ms (4% of total)

ival-pow: 5.0ms (3.3% of total)

exact: 1.0ms (0.7% of total)

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

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

series62.0ms (0.8%)

Memory

-8.3MiB live, 29.7MiB allocated

Counts

23 → 45

Calls

Call 1

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

Outputs
(* -1 x)
(* x (- (pow x 2) 1))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
2
-1
(- (pow x 2) 1)
(/ 2 (pow x 3))
(/ 2 x)
(pow x 2)
(/ 2 (pow x 2))
-2
(- (* -1 x) 2)
(+ 2 (* -1 x))
(+ 2 (* x (- (* -1 x) 1)))
(/ 2 (pow x 9))
(/ (+ 2 (* 2 (pow x 2))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))
(/ 2 (pow x 6))
(/ (+ 2 (* 2 (pow x 2))) (pow x 6))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
x
(* x (+ 1 x))
(/ 1 (pow x 3))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x))))
(/ 2 (pow x 4))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))
(+ 2 (* 2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 x)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))

Calls

3 calls:

Time

Variable

Point

Expression

55.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

simplify215.0ms (2.7%)

Memory

10.6MiB live, 175.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	368
1	240	364
2	722	335
3	2535	323
4	6433	323
0	8515	305

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 44

Calls

Call 1

Inputs
(* -1 x)
(* x (- (pow x 2) 1))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
2
-1
(- (pow x 2) 1)
(/ 2 (pow x 3))
(/ 2 x)
(pow x 2)
(/ 2 (pow x 2))
-2
(- (* -1 x) 2)
(+ 2 (* -1 x))
(+ 2 (* x (- (* -1 x) 1)))
(/ 2 (pow x 9))
(/ (+ 2 (* 2 (pow x 2))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))
(/ 2 (pow x 6))
(/ (+ 2 (* 2 (pow x 2))) (pow x 6))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
x
(* x (+ 1 x))
(/ 1 (pow x 3))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x))))
(/ 2 (pow x 4))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))
(+ 2 (* 2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 x)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))

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

rewrite486.0ms (6.1%)

Memory

11.0MiB live, 256.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	274
0	77	255
1	331	253
2	3171	253
0	8380	242

Stop Event

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

Counts

23 → 887

Calls

Call 1

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

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

eval157.0ms (2%)

Memory: 2.8MiB live, 121.9MiB allocated
Compiler: Compiled 28 625 to 2 780 computations (90.3% saved)

prune90.0ms (1.1%)

Memory

-26.9MiB live, 48.5MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	780	2	782
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	782	9	791

Accuracy

100.0%

Counts

791 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
✓	99.6%	(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
✓	98.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
✓	98.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
✓	98.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
✓	98.7%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x)))
✓	5.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
✓	99.1%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
	93.6%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal -3 binary64)) x)))

Compiler

Compiled 884 to 280 computations (68.3% saved)

regimes14.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes44.0ms (0.6%)

Memory

-32.4MiB live, 5.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

43.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
1.0ms	x

Results

Accuracy	Segments	Branch
5.2%	1	`x`
5.2%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify80.0ms (1%)

Memory

-7.1MiB live, 52.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	32	96
1	52	96
2	104	96
3	311	96
4	1068	96
5	2190	88
6	5780	84

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.3s (16.7%)

Memory

13.1MiB live, 442.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	274
0	77	255
1	331	253
2	3171	253
0	8380	242
0	99	361
1	260	341
2	675	321
3	2171	309
4	7057	307
0	8572	301
0	37	223
0	60	217
1	272	204
2	2543	204
0	8470	191
0	101	318
1	269	300
2	748	287
3	2977	272
4	7735	272
0	8356	266
0	10	32
0	17	32
1	94	32
2	1095	32
0	8514	29

Stop Event

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

Compiler

Compiled 489 to 168 computations (65.6% saved)

preprocess123.0ms (1.5%)

Memory: -2.2MiB live, 157.4MiB allocated
Compiler: Compiled 296 to 140 computations (52.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	37
1	32	32
2	87	30
3	223	30
4	441	30
5	556	30
6	600	30
7	608	30
0	10	15
0	17	15
1	28	15
2	46	15
3	74	15
4	134	15
5	248	15
6	399	15
7	521	15
8	592	15
0	592	15

Iter	Nodes	Cost
0	10	46
0	17	46
1	28	46
2	46	46
3	74	46
4	134	46
5	248	46
6	399	46
7	521	46
8	592	46
0	592	46

Iter	Nodes	Cost
0	12	37
1	32	32
2	87	30
3	223	30
4	441	30
5	556	30
6	600	30
7	608	30
0	10	15
0	17	15
1	28	15
2	46	15
3	74	15
4	134	15
5	248	15
6	399	15
7	521	15
8	592	15
0	592	15

Iter	Nodes	Cost
0	10	46
0	17	46
1	28	46
2	46	46
3	74	46
4	134	46
5	248	46
6	399	46
7	521	46
8	592	46
0	592	46

start0.0ms (0%)

analyze4.0ms (0%)

sample1.8s (22.1%)

explain292.0ms (3.7%)

preprocess46.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify26.0ms (0.3%)

localize52.0ms (0.6%)

series3.0ms (0%)

simplify148.0ms (1.9%)

rewrite235.0ms (2.9%)

eval50.0ms (0.6%)

prune19.0ms (0.2%)

simplify129.0ms (1.6%)

localize275.0ms (3.4%)

series25.0ms (0.3%)

simplify136.0ms (1.7%)

rewrite275.0ms (3.4%)

eval102.0ms (1.3%)

prune25.0ms (0.3%)

simplify215.0ms (2.7%)

localize183.0ms (2.3%)

series9.0ms (0.1%)

simplify141.0ms (1.8%)

rewrite236.0ms (3%)

eval85.0ms (1.1%)

prune47.0ms (0.6%)

simplify597.0ms (7.5%)

localize257.0ms (3.2%)

series62.0ms (0.8%)

simplify215.0ms (2.7%)

rewrite486.0ms (6.1%)

eval157.0ms (2%)

prune90.0ms (1.1%)

regimes14.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes44.0ms (0.6%)

simplify80.0ms (1%)

soundness1.3s (16.7%)

preprocess123.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	37
1	32	32
2	87	30
3	223	30
4	441	30
5	556	30
6	600	30
7	608	30
0	10	15
0	17	15
1	28	15
2	46	15
3	74	15
4	134	15
5	248	15
6	399	15
7	521	15
8	592	15
0	592	15

Iter	Nodes	Cost
0	10	46
0	17	46
1	28	46
2	46	46
3	74	46
4	134	46
5	248	46
6	399	46
7	521	46
8	592	46
0	592	46