Metrics for x / (x^2 + 1)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.6MiB 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
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample709.0ms (12.9%)

Memory

41.8MiB live, 612.1MiB allocated

Samples

327.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-mult: 67.0ms (36.6% of total)

ival-div: 61.0ms (33.4% of total)

ival-add: 42.0ms (23% of total)

ival-true: 6.0ms (3.3% of total)

exact: 5.0ms (2.7% of total)

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

Bogosity

explain88.0ms (1.6%)

Memory

-15.3MiB live, 98.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	n/o	54	0
↳	`(*.f64 x x)`	overflow	54
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	54

Confusion

	Predicted +	Predicted -
+	54	0
-	0	202

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	54	0	0
-	0	0	202

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	202
1	54

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

21.0ms

512×

valid

Compiler

Compiled 62 to 24 computations (61.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (39.1% of total)

ival-div: 3.0ms (29.3% of total)

ival-add: 2.0ms (19.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess19.0ms (0.3%)

Memory

17.4MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	26	15
2	62	14
3	128	14
4	232	14
5	331	14
6	344	14
7	346	14
8	350	14
0	5	7
0	8	7
1	11	7
0	11	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.4%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	8	17
1	11	17
0	11	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (0.9%)

Memory

-29.6MiB live, 16.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	12.549030804078575	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Samples

46.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 38.0ms (93.4% of total)

ival-div: 2.0ms (4.9% of total)

ival-add: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

3 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

simplify171.0ms (3.1%)

Memory

13.3MiB live, 167.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	149
1	131	147
2	312	139
3	883	135
4	2391	133
5	5547	133
6	7623	133
0	8043	127

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

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

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

rewrite182.0ms (3.3%)

Memory

-11.3MiB live, 181.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	33	15
2	202	15
3	1766	15
0	8562	13

Stop Event

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

Counts

3 → 327

Calls

Call 1

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

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

eval39.0ms (0.7%)

Memory: 6.1MiB live, 77.6MiB allocated
Compiler: Compiled 7 652 to 1 078 computations (85.9% saved)

prune6.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	332	5	337
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	333	5	338

Accuracy

100.0%

Counts

338 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.9%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
▶	80.4%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	51.3%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
▶	80.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
▶	51.8%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 120 to 72 computations (40% saved)

simplify354.0ms (6.4%)

Memory

-27.0MiB live, 140.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	64	(-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x)))
cost-diff	704	(*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	7616	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (+ (* x x) 1) #s(literal 1 binary64))
cost-diff	0	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	143
0	36	111
1	76	108
2	184	106
3	691	104
4	2371	104
5	5090	104
0	8041	104

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (2%)

Memory

-5.5MiB live, 116.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.078125	(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))
accuracy	0.08203125	(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
accuracy	13.288988194423965	(*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy	22.722391076337303	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0.0859375	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
accuracy	12.509663891593016	(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
accuracy	12.549030804078575	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
accuracy	31.005677650746943	#s(approx (+ (* x x) 1) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	30.869595665643953	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	12.549030804078575	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))

Samples

97.0ms

256×

valid

Compiler

Compiled 303 to 43 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 47.0ms (57.5% of total)

ival-div: 29.0ms (35.5% of total)

ival-add: 2.0ms (2.4% of total)

ival-sub: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

13 → 31

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
1
(+ 1 (pow x 2))
(/ 1 x)
(/ (+ 1 (pow x 2)) x)
0
(* -1 x)
(* x (- (* -1 (pow x 2)) 1))
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -1 (pow x 2)) 2)) 1)
(* x (+ 1 (pow x 2)))
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (/ 1 (pow x 2)))))
(* -1 (pow x 4))
(* -1 (* (pow x 4) (+ 1 (* 2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 1))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ 1 (/ (+ (* x x) 1) x)) (/ (+ (* x x) 1) x) (/ (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1))) (* 0 (+ (* x x) 1)) (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x)))
2.0ms	x	@	0	((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ 1 (/ (+ (* x x) 1) x)) (/ (+ (* x x) 1) x) (/ (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1))) (* 0 (+ (* x x) 1)) (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x)))
1.0ms	x	@	inf	((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ 1 (/ (+ (* x x) 1) x)) (/ (+ (* x x) 1) x) (/ (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1))) (* 0 (+ (* x x) 1)) (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x)))

Time

Variable

Point

Expression

2.0ms

-inf

((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ 1 (/ (+ (* x x) 1) x)) (/ (+ (* x x) 1) x) (/ (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1))) (* 0 (+ (* x x) 1)) (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x)))

2.0ms

((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ 1 (/ (+ (* x x) 1) x)) (/ (+ (* x x) 1) x) (/ (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1))) (* 0 (+ (* x x) 1)) (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x)))

1.0ms

inf

((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ 1 (/ (+ (* x x) 1) x)) (/ (+ (* x x) 1) x) (/ (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1))) (* 0 (+ (* x x) 1)) (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x)))

simplify479.0ms (8.7%)

Memory

-5.8MiB live, 186.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	257
1	213	240
2	522	234
3	2221	224
4	7080	224
0	8138	214

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 30

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
1
(+ 1 (pow x 2))
(/ 1 x)
(/ (+ 1 (pow x 2)) x)
0
(* -1 x)
(* x (- (* -1 (pow x 2)) 1))
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -1 (pow x 2)) 2)) 1)
(* x (+ 1 (pow x 2)))
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (/ 1 (pow x 2)))))
(* -1 (pow x 4))
(* -1 (* (pow x 4) (+ 1 (* 2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 1))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))

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

rewrite462.0ms (8.4%)

Memory

47.0MiB live, 434.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	116
0	36	84
1	149	81
2	1076	75
0	9223	75

Stop Event

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

Counts

13 → 2 425

Calls

Call 1

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

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

eval604.0ms (10.9%)

Memory: 4.0MiB live, 342.4MiB allocated
Compiler: Compiled 58 631 to 4 876 computations (91.7% saved)

prune216.0ms (3.9%)

Memory

-14.2MiB live, 88.0MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 953	3	1 956
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 955	6	1 961

Accuracy

100.0%

Counts

1 961 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.9%	(/.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
✓	80.4%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	32.1%	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
✓	51.3%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
▶	99.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1) x) (-.f64 x (/.f64 #s(literal -1 binary64) x))))
✓	51.8%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 70 to 46 computations (34.3% saved)

simplify365.0ms (6.6%)

Memory

14.8MiB live, 126.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
cost-diff	7616	(/.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x x) 1) (*.f64 x x))
cost-diff	0	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(-.f64 x (/.f64 #s(literal -1 binary64) x))
cost-diff	0	#s(approx (/ (+ (* x x) 1) x) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1) x) (-.f64 x (/.f64 #s(literal -1 binary64) x))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	108
0	32	108
1	57	98
2	126	96
3	311	95
4	1365	95
5	4942	95
0	8313	95

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (2%)

Memory

-3.1MiB live, 112.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.078125	(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)
accuracy	0.08203125	(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
accuracy	22.722391076337303	(/.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
accuracy	0	(*.f64 x x)
accuracy	12.549030804078575	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
accuracy	30.747007644043762	#s(approx (+ (* x x) 1) (*.f64 x x))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	#s(approx (/ (+ (* x x) 1) x) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
accuracy	0.00390625	(-.f64 x (/.f64 #s(literal -1 binary64) x))
accuracy	0.0859375	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1) x) (-.f64 x (/.f64 #s(literal -1 binary64) x))))

Samples

84.0ms

256×

valid

Compiler

Compiled 214 to 38 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 43.0ms (58.1% of total)

ival-div: 23.0ms (31.1% of total)

ival-neg: 4.0ms (5.4% of total)

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

ival-sub: 1.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

12 → 31

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

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

1.0ms

-inf

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

simplify179.0ms (3.2%)

Memory

-25.5MiB live, 169.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	258
1	214	245
2	542	237
3	2231	227
4	7161	227
0	8232	217

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 30

Calls

Call 1

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

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

rewrite249.0ms (4.5%)

Memory

-31.1MiB live, 238.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	97
0	32	97
1	125	85
2	913	80
0	9312	80

Stop Event

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

Counts

12 → 978

Calls

Call 1

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

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

eval236.0ms (4.3%)

Memory: 28.8MiB live, 251.5MiB allocated
Compiler: Compiled 30 767 to 3 425 computations (88.9% saved)

prune21.0ms (0.4%)

Memory

15.1MiB live, 63.2MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	1 144	0	1 144
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	1 144	6	1 150

Accuracy

100.0%

Counts

1 150 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.9%	(/.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
✓	80.4%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	32.1%	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
✓	51.3%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
✓	99.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1) x) (-.f64 x (/.f64 #s(literal -1 binary64) x))))
✓	51.8%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 181 to 81 computations (55.2% saved)

regimes61.0ms (1.1%)

Memory

-30.1MiB live, 8.4MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

58.0ms	x
3.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
100.0%	2	`x`
99.9%	2	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
77.6%	4	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
99.1%	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
51.8%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
51.8%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch3.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	56900823.04140632	258638316.49555698

Samples

1.0ms

32×

valid

Compiler

Compiled 44 to 37 computations (15.9% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.012171322365153314	437.58520242024133

Samples

5.0ms

128×

valid

Compiler

Compiled 170 to 145 computations (14.7% saved)

Precisions

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

ival-div: 1.0ms (40.6% of total)

ival-add: 1.0ms (40.6% of total)

ival-mult: 1.0ms (40.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify26.0ms (0.5%)

Memory

7.8MiB live, 44.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	71
1	27	71
2	34	71
3	40	71
4	44	71
5	46	71

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1) x) (-.f64 x (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 x #s(literal 200000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1) x) (-.f64 x (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 x #s(literal 200000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

soundness609.0ms (11.1%)

Memory

-8.5MiB live, 379.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	149
1	131	147
2	312	139
3	883	135
4	2391	133
5	5547	133
6	7623	133
0	8043	127
0	5	15
0	8	15
1	33	15
2	202	15
3	1766	15
0	8562	13
0	73	257
1	213	240
2	522	234
3	2221	224
4	7080	224
0	8138	214

Stop Event

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

Compiler

Compiled 127 to 58 computations (54.3% saved)

preprocess122.0ms (2.2%)

Memory: -2.8MiB live, 154.8MiB allocated
Compiler: Compiled 212 to 92 computations (56.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	17
1	26	15
2	62	14
3	128	14
4	232	14
5	331	14
6	344	14
7	346	14
8	350	14
0	5	7
0	8	7
1	11	7
0	11	6

Iter	Nodes	Cost
0	7	17
1	26	15
2	62	14
3	128	14
4	232	14
5	331	14
6	344	14
7	346	14
8	350	14
0	5	7
0	8	7
1	11	7
0	11	6

start0.0ms (0%)

analyze0.0ms (0%)

sample709.0ms (12.9%)

explain88.0ms (1.6%)

preprocess19.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize51.0ms (0.9%)

series2.0ms (0%)

simplify171.0ms (3.1%)

rewrite182.0ms (3.3%)

eval39.0ms (0.7%)

prune6.0ms (0.1%)

simplify354.0ms (6.4%)

localize112.0ms (2%)

series5.0ms (0.1%)

simplify479.0ms (8.7%)

rewrite462.0ms (8.4%)

eval604.0ms (10.9%)

prune216.0ms (3.9%)

simplify365.0ms (6.6%)

localize111.0ms (2%)

series4.0ms (0.1%)

simplify179.0ms (3.2%)

rewrite249.0ms (4.5%)

eval236.0ms (4.3%)

prune21.0ms (0.4%)

regimes61.0ms (1.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch3.0ms (0.1%)

bsearch10.0ms (0.2%)

simplify26.0ms (0.5%)

soundness609.0ms (11.1%)

preprocess122.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	17
1	26	15
2	62	14
3	128	14
4	232	14
5	331	14
6	344	14
7	346	14
8	350	14
0	5	7
0	8	7
1	11	7
0	11	6