Metrics for 2frac (problem 3.3.1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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)

sample1.2s (18.9%)

Memory

-14.6MiB live, 779.7MiB allocated

Samples

516.0ms	3 841×	1	valid
411.0ms	4 415×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 648.0ms

ival-div: 402.0ms (62.1% of total)

ival-add: 106.0ms (16.4% of total)

adjust: 71.0ms (11% of total)

ival-sub: 54.0ms (8.3% of total)

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

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain115.0ms (1.8%)

Memory

11.9MiB live, 176.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
64	66	(7.186714248423314e+182)	-	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	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	130	0

Confusion

	Predicted +	Predicted -
+	64	0
-	66	126

Precision

0.49230769230769234

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	64	0	0
-	66	0	126

Precision?

0.49230769230769234

Recall?

1.0

Freqs

test

number	freq
0	126
1	130

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms	240×	1	valid
14.0ms	272×	0	valid

Compiler

Compiled 101 to 45 computations (55.4% saved)

Precisions

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

ival-div: 11.0ms (46.1% of total)

adjust: 4.0ms (16.7% of total)

ival-add: 4.0ms (16.7% of total)

ival-sub: 3.0ms (12.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess21.0ms (0.3%)

Memory

-11.6MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	20	19
2	53	18
3	108	18
4	169	18
5	212	18
6	226	18
0	6	9
0	10	9
1	15	9
2	23	9
3	32	9
4	44	9
5	64	9
6	105	9
7	147	9
8	213	9
9	247	9
10	256	9
0	256	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))

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(-.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)

simplify8.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB 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	15	22
2	23	22
3	32	22
4	44	22
5	64	22
6	105	22
7	147	22
8	213	22
9	247	22
10	256	22
0	256	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 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
(/.f64 #s(literal 1 binary64) x)

localize31.0ms (0.5%)

Memory

-12.4MiB live, 39.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	14.248142408124401	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Samples

13.0ms	136×	0	valid
12.0ms	120×	1	valid

Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 5.0ms (43% of total)

adjust: 2.0ms (17.2% of total)

ival-add: 2.0ms (17.2% of total)

ival-sub: 2.0ms (17.2% 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

3.0MiB live, 3.0MiB 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))

simplify137.0ms (2.2%)

Memory

3.1MiB live, 118.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	229
1	150	210
2	351	198
3	1021	194
4	3180	189
5	5278	188
6	6658	188
7	7477	188
8	7979	188
0	8014	186

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

rewrite141.0ms (2.2%)

Memory

-20.6MiB live, 136.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
0	10	20
1	59	20
2	551	20
3	6022	20
0	9428	18

Stop Event

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

Counts

4 → 325

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

eval63.0ms (1%)

Memory: 32.1MiB live, 75.1MiB allocated
Compiler: Compiled 7 043 to 949 computations (86.5% saved)

prune12.0ms (0.2%)

Memory

-9.9MiB live, 25.9MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	332	10	342
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	333	10	343

Accuracy

100.0%

Counts

343 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
▶	99.9%	(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
	49.9%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
	49.8%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	76.8%	(.f64 (.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))
	52.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
	44.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
▶	50.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
▶	49.9%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
▶	49.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 282 to 196 computations (30.5% saved)

simplify195.0ms (3.1%)

Memory

17.8MiB live, 95.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x x)
cost-diff	0	(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
cost-diff	192	(-.f64 x x)
cost-diff	192	(-.f64 (-.f64 x x) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) x) x)
cost-diff	0	(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 (-.f64 x #s(literal 1 binary64)) x)
cost-diff	0	(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) 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	128	(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
cost-diff	192	(-.f64 x x)
cost-diff	192	(-.f64 (-.f64 x x) #s(literal 1 binary64))
cost-diff	512	(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	163
0	41	134
1	84	134
2	156	132
3	334	132
4	780	132
5	1409	132
6	1874	132
7	2210	132
8	2505	132
9	3578	132
10	5209	132
11	5604	132
12	5756	132
13	5793	132
14	5811	132
15	5811	132
16	6259	132
17	7289	132
0	8015	132

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 (-.f64 x x) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 x x)
#s(literal 0 binary64)
x
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) x))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
(-.f64 (-.f64 x x) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 x x)
#s(literal 0 binary64)
x
#s(literal 1 binary64)
(fma.f64 x x x)

localize116.0ms (1.8%)

Memory

-5.9MiB live, 116.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x x)
accuracy	0	(-.f64 (-.f64 x x) #s(literal 1 binary64))
accuracy	0	(-.f64 x x)
accuracy	0.35439407944089246	(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(-.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy	0.01171875	(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))
accuracy	32.35824757678227	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
accuracy	0.01171875	(/.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	32.04993976747731	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	31.489560638274497	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0	(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
accuracy	0.0078125	(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
accuracy	0.07421875	(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)

Samples

56.0ms	120×	1	valid
27.0ms	136×	0	valid

Compiler

Compiled 308 to 51 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 18.0ms (36.9% of total)

ival-sub: 10.0ms (20.5% of total)

ival-add: 8.0ms (16.4% of total)

adjust: 7.0ms (14.4% of total)

ival-mult: 4.0ms (8.2% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

-26.7MiB live, 8.1MiB allocated

Counts

18 → 53

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((/ (neg (/ (- (- x x) 1) (- -1 x))) x) (- (- x x) 1) (- x x) (neg (/ (- (- x x) 1) (- -1 x))) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ (- x 1) x) x) (/ (- x 1) x) (- x 1) (- (/ 1 (+ x 1)) (/ 1 x)) (* (- (/ -1 x) x) (- 1 x)) (- (/ -1 x) x) (/ (- (- x x) 1) (+ (* x x) x)) (+ (* x x) x) (/ (- (- x x) 1) (- -1 x)) (- -1 x) (- 1 x))
1.0ms	x	@	0	((/ (neg (/ (- (- x x) 1) (- -1 x))) x) (- (- x x) 1) (- x x) (neg (/ (- (- x x) 1) (- -1 x))) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ (- x 1) x) x) (/ (- x 1) x) (- x 1) (- (/ 1 (+ x 1)) (/ 1 x)) (* (- (/ -1 x) x) (- 1 x)) (- (/ -1 x) x) (/ (- (- x x) 1) (+ (* x x) x)) (+ (* x x) x) (/ (- (- x x) 1) (- -1 x)) (- -1 x) (- 1 x))
1.0ms	x	@	inf	((/ (neg (/ (- (- x x) 1) (- -1 x))) x) (- (- x x) 1) (- x x) (neg (/ (- (- x x) 1) (- -1 x))) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ (- x 1) x) x) (/ (- x 1) x) (- x 1) (- (/ 1 (+ x 1)) (/ 1 x)) (* (- (/ -1 x) x) (- 1 x)) (- (/ -1 x) x) (/ (- (- x x) 1) (+ (* x x) x)) (+ (* x x) x) (/ (- (- x x) 1) (- -1 x)) (- -1 x) (- 1 x))

Time

Variable

Point

Expression

7.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

simplify126.0ms (2%)

Memory

17.0MiB live, 180.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	452
1	253	408
2	726	384
3	2800	378
4	6981	378
0	8083	365

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 52

Calls

Call 1

Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
0
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
(/ (- (* -1 (pow x 2)) 1) x)
x
(* x (+ 1 x))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(- (* -1 x) 1)
(/ -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) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))
(- 1 (/ 1 x))
(* x (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(* -1 (* x (+ 1 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* -1 (* 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 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
(* -1 (* x (- (/ 1 x) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))

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

rewrite249.0ms (3.9%)

Memory

18.3MiB live, 254.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	140
0	41	117
1	226	106
2	1745	106
0	9668	102

Stop Event

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

Counts

18 → 1 928

Calls

Call 1

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

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

eval184.0ms (2.9%)

Memory: -27.4MiB live, 245.0MiB allocated
Compiler: Compiled 38 841 to 4 718 computations (87.9% saved)

prune34.0ms (0.5%)

Memory

5.2MiB live, 83.4MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1 539	12	1 551
Fresh	3	2	5
Picked	4	1	5
Done	0	0	0
Total	1 546	15	1 561

Accuracy

100.0%

Counts

1 561 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.8%	(/.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x)
▶	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
	38.3%	(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 x x))))
	99.4%	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
▶	49.8%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	97.9%	(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
	94.0%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) x) (-.f64 #s(literal 1 binary64) x))
▶	37.9%	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x))
	44.2%	#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
	51.8%	#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
▶	52.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	50.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
	2.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (-.f64 #s(literal 1 binary64) x)))
▶	3.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
	2.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))

Compiler

Compiled 465 to 313 computations (32.7% saved)

simplify184.0ms (2.9%)

Memory

5.0MiB live, 120.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x x)
cost-diff	0	(pow.f64 (fma.f64 x x x) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
cost-diff	7168	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x))
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	#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	(neg.f64 x)
cost-diff	0	#s(approx (- (/ (- x 1) x) x) (neg.f64 x))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
cost-diff	0	(-.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
cost-diff	512	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	133
0	40	127
1	69	127
2	147	127
3	445	125
4	2434	125
0	8013	125

Stop Event

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

Calls

Call 1

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

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

localize379.0ms (6%)

Memory

-214.9MiB live, 93.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x x)
accuracy	0.0625	(pow.f64 (fma.f64 x x x) #s(literal 2 binary64))
accuracy	0.17298879396326391	(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
accuracy	39.343369554659354	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.1640625	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy	30.49409250902754	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	14.248142408124401	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy	32.13725948411957	#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
accuracy	0	(neg.f64 x)
accuracy	30.61273157153801	#s(approx (- (/ (- x 1) x) x) (neg.f64 x))
accuracy	32.04993976747731	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
accuracy	0.07421875	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)

Samples

341.0ms	120×	1	valid
23.0ms	136×	0	valid

Compiler

Compiled 249 to 52 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 321.0ms

ival-sub: 285.0ms (88.7% of total)

ival-div: 17.0ms (5.3% of total)

adjust: 5.0ms (1.6% of total)

ival-add: 4.0ms (1.2% of total)

ival-mult: 4.0ms (1.2% of total)

ival-pow2: 4.0ms (1.2% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

16 → 56

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify134.0ms (2.1%)

Memory

-0.2MiB live, 149.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	543
1	391	507
2	1008	477
3	3696	463
0	8336	450

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 55

Calls

Call 1

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

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

rewrite193.0ms (3.1%)

Memory

4.0MiB live, 249.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	122
0	40	116
1	192	113
2	1700	110
0	9189	105

Stop Event

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

Counts

16 → 1 045

Calls

Call 1

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

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

eval107.0ms (1.7%)

Memory: -4.4MiB live, 149.1MiB allocated
Compiler: Compiled 19 510 to 2 642 computations (86.5% saved)

prune35.0ms (0.6%)

Memory

4.5MiB live, 43.0MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	904	2	906
Fresh	4	5	9
Picked	1	4	5
Done	0	1	1
Total	909	12	921

Accuracy

100.0%

Counts

921 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
▶	99.4%	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
✓	49.8%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	94.0%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) x) (-.f64 #s(literal 1 binary64) x))
	37.9%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (fma.f64 x x x))
▶	51.8%	#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	52.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	50.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
	52.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
▶	2.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (-.f64 #s(literal 1 binary64) x)))
✓	3.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
▶	2.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))

Compiler

Compiled 306 to 195 computations (36.3% saved)

simplify172.0ms (2.7%)

Memory

-5.4MiB live, 77.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	128	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff	6784	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) x) (-.f64 #s(literal 1 binary64) x))
cost-diff	-384	(/.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (- (/ (- x 1) x) x) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (-.f64 #s(literal 1 binary64) 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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	186
0	49	173
1	99	173
2	200	170
3	452	166
4	1298	166
5	3150	166
6	4075	163
7	5040	163
8	6299	163
9	7018	163
10	7793	163
0	8028	162

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (2%)

Memory

30.2MiB live, 68.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0546875	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
accuracy	0.34267532944089246	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	3.859220031075519	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) x) (-.f64 #s(literal 1 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0.42080032944089246	(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy	30.49409250902754	#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
accuracy	0	(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	30.63316120869922	#s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	32.35824757678227	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	30.712578839671135	#s(approx (- (/ (- x 1) x) x) (-.f64 #s(literal 1 binary64) x))
accuracy	32.04993976747731	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (-.f64 #s(literal 1 binary64) x)))
accuracy	0	(fma.f64 x x x)
accuracy	0	#s(approx (- (- x x) 1) #s(literal -1 binary64))
accuracy	0.35439407944089246	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))

Samples

60.0ms	136×	0	valid
46.0ms	120×	1	valid

Compiler

Compiled 327 to 71 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 20.0ms (36.2% of total)

ival-sub: 12.0ms (21.7% of total)

adjust: 8.0ms (14.5% of total)

ival-mult: 8.0ms (14.5% of total)

ival-add: 5.0ms (9.1% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

-33.8MiB live, 4.3MiB allocated

Counts

17 → 50

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

15.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify143.0ms (2.3%)

Memory

34.7MiB live, 71.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	480
1	279	464
2	848	431
3	2875	412
4	7716	408
0	8138	400

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

Calls

Call 1

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

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

rewrite213.0ms (3.4%)

Memory

-13.1MiB live, 102.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	169
0	49	156
1	273	146
2	2266	140
0	9848	140

Stop Event

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

Counts

17 → 806

Calls

Call 1

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

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

eval192.0ms (3.1%)

Memory: 1.2MiB live, 120.4MiB allocated
Compiler: Compiled 21 794 to 2 705 computations (87.6% saved)

prune25.0ms (0.4%)

Memory

11.2MiB live, 48.9MiB allocated

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	932	6	938
Fresh	1	1	2
Picked	1	4	5
Done	0	5	5
Total	934	16	950

Accuracy

100.0%

Counts

950 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
	93.3%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))))
	67.4%	(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal -1 binary64) x))
✓	99.4%	(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
✓	49.8%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	67.5%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))
	37.9%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (fma.f64 x x x))
✓	51.8%	#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	52.4%	#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
✓	52.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	50.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
✓	2.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (-.f64 #s(literal 1 binary64) x)))
	2.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (+.f64 x #s(literal 1 binary64))))
✓	3.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
	2.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) #s(approx (- 1 x) #s(literal 1 binary64))))
✓	2.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))

Compiler

Compiled 761 to 294 computations (61.4% saved)

regimes43.0ms (0.7%)

Memory

-22.8MiB live, 15.8MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	x
8.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

10 → 3

Calls

Call 1

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

#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) 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))

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
98.4%	3	`x`
98.4%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

3.0ms	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
98.4%	3	`x`
98.4%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) 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))

Calls

2 calls:

3.0ms	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
98.2%	3	`x`
98.2%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes41.0ms (0.7%)

Memory

-39.5MiB live, 6.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

38.0ms	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
50.8%	1	`x`
50.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 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
3.2%	1	`x`
3.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

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
2.8%	1	`x`
2.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	206133.50921616977
0.0ms	-40.404089604153135	-0.042851560531566135

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	206133.50921616977
0.0ms	-40.404089604153135	-0.042851560531566135

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	206133.50921616977
0.0ms	-40.404089604153135	-0.042851560531566135

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify67.0ms (1.1%)

Memory

-10.7MiB live, 28.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	287
1	71	287
2	86	287
3	95	287
4	96	287

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -40 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) 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))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -40 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -40 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) 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) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) #s(approx (- 1 x) #s(literal 1 binary64))))

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -40 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) 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))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -40 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -40 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) 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) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) #s(approx (- 1 x) #s(literal 1 binary64))))

soundness1.5s (23.8%)

Memory

39.0MiB live, 786.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	229
1	150	210
2	351	198
3	1021	194
4	3180	189
5	5278	188
6	6658	188
7	7477	188
8	7979	188
0	8014	186
0	103	480
1	279	464
2	848	431
3	2875	412
4	7716	408
0	8138	400
0	84	452
1	253	408
2	726	384
3	2800	378
4	6981	378
0	8083	365
0	25	140
0	41	117
1	226	106
2	1745	106
0	9668	102
0	6	20
0	10	20
1	59	20
2	551	20
3	6022	20
0	9428	18

Stop Event

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

Compiler

Compiled 408 to 142 computations (65.2% saved)

preprocess46.0ms (0.7%)

Memory: 3.8MiB live, 79.6MiB allocated
Compiler: Compiled 606 to 142 computations (76.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	23
1	20	19
2	53	18
3	108	18
4	169	18
5	212	18
6	226	18
0	6	9
0	10	9
1	15	9
2	23	9
3	32	9
4	44	9
5	64	9
6	105	9
7	147	9
8	213	9
9	247	9
10	256	9
0	256	9

Iter	Nodes	Cost
0	6	22
0	10	22
1	15	22
2	23	22
3	32	22
4	44	22
5	64	22
6	105	22
7	147	22
8	213	22
9	247	22
10	256	22
0	256	22

Iter	Nodes	Cost
0	8	23
1	20	19
2	53	18
3	108	18
4	169	18
5	212	18
6	226	18
0	6	9
0	10	9
1	15	9
2	23	9
3	32	9
4	44	9
5	64	9
6	105	9
7	147	9
8	213	9
9	247	9
10	256	9
0	256	9

Iter	Nodes	Cost
0	6	22
0	10	22
1	15	22
2	23	22
3	32	22
4	44	22
5	64	22
6	105	22
7	147	22
8	213	22
9	247	22
10	256	22
0	256	22

start0.0ms (0%)

analyze2.0ms (0%)

sample1.2s (18.9%)

explain115.0ms (1.8%)

preprocess21.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize31.0ms (0.5%)

series2.0ms (0%)

simplify137.0ms (2.2%)

rewrite141.0ms (2.2%)

eval63.0ms (1%)

prune12.0ms (0.2%)

simplify195.0ms (3.1%)

localize116.0ms (1.8%)

series10.0ms (0.2%)

simplify126.0ms (2%)

rewrite249.0ms (3.9%)

eval184.0ms (2.9%)

prune34.0ms (0.5%)

simplify184.0ms (2.9%)

localize379.0ms (6%)

series5.0ms (0.1%)

simplify134.0ms (2.1%)

rewrite193.0ms (3.1%)

eval107.0ms (1.7%)

prune35.0ms (0.6%)

simplify172.0ms (2.7%)

localize124.0ms (2%)

series18.0ms (0.3%)

simplify143.0ms (2.3%)

rewrite213.0ms (3.4%)

eval192.0ms (3.1%)

prune25.0ms (0.4%)

regimes43.0ms (0.7%)

regimes10.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes41.0ms (0.7%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify67.0ms (1.1%)

soundness1.5s (23.8%)

preprocess46.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	23
1	20	19
2	53	18
3	108	18
4	169	18
5	212	18
6	226	18
0	6	9
0	10	9
1	15	9
2	23	9
3	32	9
4	44	9
5	64	9
6	105	9
7	147	9
8	213	9
9	247	9
10	256	9
0	256	9

Iter	Nodes	Cost
0	6	22
0	10	22
1	15	22
2	23	22
3	32	22
4	44	22
5	64	22
6	105	22
7	147	22
8	213	22
9	247	22
10	256	22
0	256	22