Metrics for 2frac (problem 3.3.1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.0s (24%)

Memory

10.8MiB live, 857.9MiB allocated

Samples

542.0ms	3 785×	1	valid
243.0ms	4 471×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 512.0ms

ival-div: 273.0ms (53.3% of total)

ival-add: 107.0ms (20.9% of total)

adjust: 62.0ms (12.1% of total)

ival-sub: 58.0ms (11.3% of total)

ival-true: 5.0ms (1% of total)

exact: 4.0ms (0.8% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain83.0ms (2%)

Memory

-10.8MiB live, 156.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`	cancellation	80	0

Confusion

	Predicted +	Predicted -
+	80	0
-	0	176

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	80	0	0
-	0	0	176

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	176
1	80

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms	248×	1	valid
13.0ms	264×	0	valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 10.0ms (45.5% of total)

adjust: 4.0ms (18.2% of total)

ival-add: 4.0ms (18.2% of total)

ival-sub: 3.0ms (13.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess11.0ms (0.3%)

Memory

13.3MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	13	21
2	16	21
0	6	9
0	10	9
1	13	9
0	13	9

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.5%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify3.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
0	10	22
1	13	22
0	13	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.6%)

Memory

-7.9MiB live, 23.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	17.603917346434667	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Samples

14.0ms	124×	1	valid
6.0ms	132×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 5.0ms (36.8% of total)

adjust: 4.0ms (29.4% of total)

ival-add: 3.0ms (22.1% of total)

ival-sub: 2.0ms (14.7% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

4 → 24

Calls

Call 1

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

Outputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
(/ 1 x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 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 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -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)) (/ 1 x)) (/ 1 (+ x 1)) (+ x 1) (/ 1 x))
1.0ms	x	@	0	((- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (+ x 1) (/ 1 x))
0.0ms	x	@	inf	((- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (+ x 1) (/ 1 x))

simplify104.0ms (2.5%)

Memory

-4.0MiB live, 95.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	229
1	144	206
2	349	198
3	978	196
4	3081	194
0	8373	190

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

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

rewrite164.0ms (3.9%)

Memory

25.3MiB live, 172.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
0	10	20
1	52	20
2	395	20
3	5871	20
0	8674	18

Stop Event

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

Counts

4 → 349

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (neg.f64 (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -4 binary64)) (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -2 binary64))))) (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -6 binary64)))) (fma.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -4 binary64))))
(.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) x)
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1 binary64) x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x x))
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))))
(/.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) x)
(/.f64 (/.f64 (-.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) x)
(/.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))))
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(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(-.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
(fabs.f64 (pow.f64 x #s(literal -1 binary64)))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (neg.f64 (log.f64 x))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))

eval60.0ms (1.4%)

Memory: -10.8MiB live, 118.2MiB allocated
Compiler: Compiled 7 012 to 1 014 computations (85.5% saved)

prune8.0ms (0.2%)

Memory

-8.8MiB live, 23.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	359	7	366
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	360	7	367

Accuracy

100.0%

Counts

367 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.2%	(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
▶	48.4%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
▶	48.2%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	53.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
	51.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)))
	42.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
▶	49.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))

Compiler

Compiled 212 to 138 computations (34.9% saved)

simplify305.0ms (7.2%)

Memory

15.3MiB live, 208.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	120
0	32	128
1	47	112
2	88	112
3	147	106
4	254	106
5	522	106
6	1981	106
0	8311	106

Stop Event

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

Calls

Call 1

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

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

localize61.0ms (1.5%)

Memory

-17.6MiB live, 78.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.08984375	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy	29.801572730674984	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	17.603917346434667	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
accuracy	33.47267569397199	#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	17.603917346434667	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy	33.04127121924696	#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	32.36875173715041	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
accuracy	0.0	(fma.f64 x x x)
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.568294233939569	(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
accuracy	30.514931227140334	(-.f64 x (+.f64 x #s(literal 1 binary64)))

Samples

36.0ms	131×	1	valid
13.0ms	125×	0	valid

Compiler

Compiled 102 to 16 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sub: 12.0ms (35.9% of total)

ival-div: 10.0ms (29.9% of total)

ival-add: 4.0ms (12% of total)

adjust: 4.0ms (12% of total)

ival-mult: 3.0ms (9% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

14 → 31

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

((- x (+ x 1)) (/ (- x (+ x 1)) (+ (* x x) x)) (+ x 1) (+ (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (/ 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (- 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (/ -1 x) x))

1.0ms

inf

((- x (+ x 1)) (/ (- x (+ x 1)) (+ (* x x) x)) (+ x 1) (+ (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (/ 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (- 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (/ -1 x) x))

1.0ms

-inf

((- x (+ x 1)) (/ (- x (+ x 1)) (+ (* x x) x)) (+ x 1) (+ (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (/ 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (- 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (/ -1 x) x))

simplify121.0ms (2.9%)

Memory

12.9MiB live, 78.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	253
1	164	228
2	397	220
3	1545	220
4	4931	220
0	8239	214

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 30

Calls

Call 1

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

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

rewrite173.0ms (4.1%)

Memory

5.3MiB live, 99.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	104
0	32	104
1	139	90
2	1101	88
0	8385	84

Stop Event

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

Counts

14 → 324

Calls

Call 1

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

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

eval45.0ms (1.1%)

Memory: -14.7MiB live, 44.8MiB allocated
Compiler: Compiled 11 158 to 1 297 computations (88.4% saved)

prune6.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	370	4	374
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	374	7	381

Accuracy

100.0%

Counts

381 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.7%	(/.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)))
▶	99.1%	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
✓	48.2%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	53.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
▶	52.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	49.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
▶	53.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))

Compiler

Compiled 98 to 64 computations (34.7% saved)

simplify139.0ms (3.3%)

Memory

-17.3MiB live, 76.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	1	(+.f64 (+.f64 #s(literal 1 binary64) x) x)
cost-diff	2	(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))
cost-diff	8	(/.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)))
cost-diff	0	(fma.f64 x x x)
cost-diff	0	#s(approx (- x (+ x 1)) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
cost-diff	0	(pow.f64 x #s(literal -2 binary64))
cost-diff	0	(neg.f64 (pow.f64 x #s(literal -2 binary64)))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	123
0	34	123
1	66	102
2	201	101
3	842	101
4	4103	101
0	8141	98

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (1.6%)

Memory

11.7MiB live, 41.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))
accuracy	0.0078125	(+.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy	0.0625	(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))
accuracy	6.556561050831131	(/.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)))
accuracy	0.0	(fma.f64 x x x)
accuracy	0.0	#s(approx (- x (+ x 1)) #s(literal -1 binary64))
accuracy	0.568294233939569	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.634700483939569	(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy	29.801572730674984	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
accuracy	0.0	(pow.f64 x #s(literal -2 binary64))
accuracy	0.0	(neg.f64 (pow.f64 x #s(literal -2 binary64)))
accuracy	29.801572730674984	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))

Samples

34.0ms	131×	1	valid
17.0ms	125×	0	valid

Compiler

Compiled 115 to 22 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 11.0ms (30.4% of total)

ival-add: 6.0ms (16.6% of total)

adjust: 6.0ms (16.6% of total)

ival-mult: 6.0ms (16.6% of total)

ival-pow: 4.0ms (11.1% of total)

ival-sub: 3.0ms (8.3% of total)

ival-neg: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

14 → 31

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify172.0ms (4.1%)

Memory

-13.4MiB live, 82.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	226
1	230	223
2	682	218
3	2979	211
0	8222	198

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 30

Calls

Call 1

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

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

rewrite152.0ms (3.6%)

Memory

-6.7MiB live, 93.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	110
0	34	108
1	161	81
2	1367	81
0	8593	78

Stop Event

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

Counts

14 → 520

Calls

Call 1

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

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

eval75.0ms (1.8%)

Memory: 22.7MiB live, 82.3MiB allocated
Compiler: Compiled 20 846 to 2 289 computations (89% saved)

prune11.0ms (0.3%)

Memory

-1.4MiB live, 28.4MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	705	1	706
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	706	7	713

Accuracy

100.0%

Counts

713 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
▶	42.8%	(/.f64 #s(approx (* (+ (+ 1 x) x) -1) (.f64 #s(literal -2 binary64) x)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)))
✓	48.2%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	53.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	52.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	49.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
✓	53.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))

Compiler

Compiled 102 to 70 computations (31.4% saved)

simplify152.0ms (3.6%)

Memory

3.0MiB live, 67.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
0	21	61
1	45	59
2	146	57
3	629	57
4	2148	57
5	5478	57
6	7364	57
7	7939	57
0	8074	52

Stop Event

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

Calls

Call 1

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

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

localize25.0ms (0.6%)

Memory

-13.0MiB live, 17.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy	0.0625	(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))
accuracy	6.556561050831131	(/.f64 #s(approx (* (+ (+ 1 x) x) -1) (.f64 #s(literal -2 binary64) x)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)))
accuracy	29.883554431947623	#s(approx (* (+ (+ 1 x) x) -1) (*.f64 #s(literal -2 binary64) x))

Samples

17.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (54.5% of total)

ival-add: 3.0ms (27.2% of total)

ival-div: 1.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

5 → 25

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify156.0ms (3.7%)

Memory

9.7MiB live, 74.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	204
1	210	199
2	639	194
3	2214	184
4	6349	184
0	8212	173

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 24

Calls

Call 1

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

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

rewrite79.0ms (1.9%)

Memory

-13.3MiB live, 46.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	21	51
1	83	49
2	679	17
0	11556	17

Stop Event

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

Counts

5 → 384

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(.f64 (.f64 (/.f64 (/.f64 #s(approx (* (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) x) (-.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(approx ( (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(approx ( (+ (+ 1 x) x) -1) #s(literal 0 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) x))
(.f64 (/.f64 (/.f64 #s(approx ( (+ (+ 1 x) x) -1) #s(literal 0 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) x) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (/.f64 #s(approx ( (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x))
(.f64 (/.f64 (/.f64 #s(approx ( (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (/.f64 #s(approx ( (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (/.f64 #s(approx ( (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(approx ( (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 #s(approx ( (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 #s(approx ( (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x))
(/.f64 (.f64 (/.f64 (/.f64 #s(approx ( (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 #s(approx ( (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 x (fma.f64 x x x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (*.f64 x (fma.f64 x x x)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(approx (* (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) x)
(/.f64 (/.f64 #s(approx (* (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))
(/.f64 (/.f64 (/.f64 #s(approx (* (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 #s(approx (* (+ (+ 1 x) x) -1) #s(literal 0 binary64)) (fma.f64 x x x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(approx (* (+ (+ 1 x) x) -1) #s(literal 0 binary64)) (fma.f64 x x x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(approx (* (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 x x x))
(/.f64 (neg.f64 #s(approx (* (+ (+ 1 x) x) -1) #s(literal 0 binary64))) (fma.f64 x x x))
(/.f64 #s(approx (* (+ (+ 1 x) x) -1) #s(literal 0 binary64)) (fma.f64 x x x))
(neg.f64 (/.f64 #s(approx (* (+ (+ 1 x) x) -1) #s(literal 0 binary64)) (fma.f64 x x x)))
(fma.f64 (/.f64 (/.f64 #s(approx (* (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (.f64 x x) (.f64 (/.f64 (/.f64 #s(approx (* (+ (+ 1 x) x) -1) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) x))
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(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))
(-.f64 (.f64 x (fma.f64 x x x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(-.f64 x (*.f64 x x))
(-.f64 (*.f64 x x) x)
(-.f64 (fma.f64 x x x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(-.f64 (fma.f64 x x x) #s(literal 0 binary64))
(+.f64 (+.f64 x (*.f64 x (fma.f64 x x x))) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (+.f64 x (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 x x x)))
(+.f64 (.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x x)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) x #s(literal -1 binary64))) (fma.f64 x x x)))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 x x x)) (*.f64 x (fma.f64 x x x)))
(+.f64 (.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) x #s(literal -1 binary64))) x))
(+.f64 (.f64 (fma.f64 x x x) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (.f64 (fma.f64 x x x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) x #s(literal -1 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (.f64 (fma.f64 x x x) (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 x (fma.f64 x x x)))
(+.f64 (.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))) (.f64 x (fma.f64 x x x)))
(+.f64 (.f64 x (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) x #s(literal -1 binary64)))))
(+.f64 (.f64 (fma.f64 x x x) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 x x x) (*.f64 x x)))
(+.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (.f64 x (fma.f64 x x x)))
(+.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (fma.f64 x x x)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 x x x))
(+.f64 #s(literal 0 binary64) (fma.f64 x x x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))
(+.f64 (*.f64 x (fma.f64 x x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(+.f64 (*.f64 x (fma.f64 x x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(+.f64 (.f64 x (fma.f64 x x x)) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 x x x)))
(+.f64 (.f64 x (fma.f64 x x x)) (.f64 (fma.f64 x x x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(+.f64 (.f64 x (fma.f64 x x x)) (.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))
(+.f64 (.f64 x (fma.f64 x x x)) (neg.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(+.f64 (.f64 x (fma.f64 x x x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x (fma.f64 x x x)) x))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) x))
(+.f64 x (*.f64 x x))
(+.f64 (*.f64 x x) x)
(+.f64 (fma.f64 x x x) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))))
(+.f64 (fma.f64 x x x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(+.f64 (fma.f64 x x x) #s(literal 0 binary64))

eval45.0ms (1.1%)

Memory: 17.2MiB live, 46.6MiB allocated
Compiler: Compiled 12 028 to 1 098 computations (90.9% saved)

prune42.0ms (1%)

Memory

-11.3MiB live, 26.1MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	402	1	403
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	403	7	410

Accuracy

100.0%

Counts

410 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
	65.6%	(/.f64 #s(approx (* (+ (+ 1 x) x) -1) (.f64 #s(literal -2 binary64) x)) (.f64 #s(approx (+ (+ 1 x) x) (*.f64 #s(literal 2 binary64) x)) (fma.f64 x x x)))
✓	48.2%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	53.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	52.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	49.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
✓	53.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))

Compiler

Compiled 328 to 132 computations (59.8% saved)

regimes8.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.7%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`
97.7%	3	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.5%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`
97.5%	3	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Accuracy

Total -1.1b remaining (-3.3%)

Threshold costs -1.1b (-3.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`
49.4%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch25.0ms (0.6%)

Memory

-16.2MiB live, 14.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.007977948573217819	167246.78847487707
12.0ms	-192327.8043462168	-0.0711081980874577

Samples

11.0ms

288×

valid

Compiler

Compiled 516 to 388 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 4.0ms (62% of total)

ival-sub: 1.0ms (15.5% of total)

ival-add: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch7.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.007977948573217819	167246.78847487707
1.0ms	-192327.8043462168	-0.0711081980874577

Samples

2.0ms

64×

valid

Compiler

Compiled 480 to 370 computations (22.9% saved)

Precisions

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

ival-div: 1.0ms (70.2% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	97
1	47	95
2	59	94
3	66	93
4	70	93

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))

Outputs
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))

soundness804.0ms (19%)

Memory

-7.5MiB live, 173.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
0	10	20
1	52	20
2	395	20
3	5871	20
0	8674	18
0	21	104
0	32	104
1	139	90
2	1101	88
0	8385	84
0	53	229
1	144	206
2	349	198
3	978	196
4	3081	194
0	8373	190
0	58	253
1	164	228
2	397	220
3	1545	220
4	4931	220
0	8239	214

Stop Event

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

Compiler

Compiled 177 to 86 computations (51.4% saved)

preprocess44.0ms (1%)

Memory: -0.6MiB live, 31.1MiB allocated
Compiler: Compiled 226 to 90 computations (60.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.0s (24%)

explain83.0ms (2%)

preprocess11.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize25.0ms (0.6%)

series2.0ms (0%)

simplify104.0ms (2.5%)

rewrite164.0ms (3.9%)

eval60.0ms (1.4%)

prune8.0ms (0.2%)

simplify305.0ms (7.2%)

localize61.0ms (1.5%)

series4.0ms (0.1%)

simplify121.0ms (2.9%)

rewrite173.0ms (4.1%)

eval45.0ms (1.1%)

prune6.0ms (0.1%)

simplify139.0ms (3.3%)

localize68.0ms (1.6%)

series4.0ms (0.1%)

simplify172.0ms (4.1%)

rewrite152.0ms (3.6%)

eval75.0ms (1.8%)

prune11.0ms (0.3%)

simplify152.0ms (3.6%)

localize25.0ms (0.6%)

series2.0ms (0%)

simplify156.0ms (3.7%)

rewrite79.0ms (1.9%)

eval45.0ms (1.1%)

prune42.0ms (1%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch25.0ms (0.6%)

bsearch7.0ms (0.2%)

simplify10.0ms (0.2%)

soundness804.0ms (19%)

preprocess44.0ms (1%)

end0.0ms (0%)

Profiling