Metrics for x / (x^2 + 1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample741.0ms (13.1%)

Memory

18.9MiB live, 629.2MiB allocated

Samples

336.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-mult: 66.0ms (35% of total)

ival-div: 61.0ms (32.3% of total)

ival-add: 48.0ms (25.4% of total)

ival-true: 5.0ms (2.7% of total)

exact: 5.0ms (2.7% of total)

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

Bogosity

explain67.0ms (1.2%)

Memory

17.9MiB live, 92.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
75	-	-	`(/.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	75	0
↳	`(*.f64 x x)`	overflow	75
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	75

Confusion

	Predicted +	Predicted -
+	75	0
-	0	181

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	75	0	0
-	0	0	181

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	181
1	75

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 62 to 24 computations (61.3% saved)

Precisions

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

ival-mult: 4.0ms (37.1% of total)

ival-div: 3.0ms (27.8% of total)

ival-add: 2.0ms (18.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess62.0ms (1.1%)

Memory

-27.6MiB live, 18.7MiB 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
▶	72.7%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB 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)

localize19.0ms (0.3%)

Memory

-10.8MiB live, 25.4MiB 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	17.45520510854741	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (57.6% of total)

ival-div: 2.0ms (23.1% of total)

ival-add: 1.0ms (11.5% 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

3.4MiB live, 3.4MiB 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))

simplify158.0ms (2.8%)

Memory

5.1MiB live, 157.2MiB 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)

rewrite196.0ms (3.5%)

Memory

4.5MiB live, 195.8MiB 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)))

eval36.0ms (0.6%)

Memory: 42.5MiB live, 78.3MiB allocated
Compiler: Compiled 7 652 to 1 078 computations (85.9% saved)

prune63.0ms (1.1%)

Memory

-42.8MiB live, 52.7MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	333	4	337
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	334	4	338

Accuracy

100.0%

Counts

338 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.7%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	49.0%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
▶	72.7%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
▶	53.1%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 35 to 26 computations (25.7% saved)

simplify18.0ms (0.3%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
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	(neg.f64 x)
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	67
0	22	70
1	32	68
2	49	64
3	77	64
4	175	64
5	302	64
6	510	64
7	560	64
8	587	64
9	600	64
10	606	64
0	606	64

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (1%)

Memory

10.0MiB live, 47.6MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	17.45520510854741	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
accuracy	17.45520510854741	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
accuracy	32.47844814723096	#s(approx (+ (* x x) 1) #s(literal 1 binary64))
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0	(neg.f64 x)
accuracy	0.2784900844382372	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy	17.182567422590456	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	30.01364829121667	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Samples

22.0ms

256×

valid

Compiler

Compiled 139 to 28 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 5.0ms (39.8% of total)

ival-mult: 5.0ms (39.8% of total)

ival-add: 1.0ms (8% of total)

ival-neg: 1.0ms (8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-32.7MiB live, 4.5MiB allocated

Counts

9 → 24

Calls

Call 1

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

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) 1)
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1)
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 (pow x 2))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 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
5.0ms	x	@	-inf	((/ x (+ (* x x) 1)) (/ 1 x) (* (/ -1 (+ (* x x) 1)) (neg x)) (/ -1 (+ (* x x) 1)) (+ (* x x) 1) (neg x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)))
1.0ms	x	@	inf	((/ x (+ (* x x) 1)) (/ 1 x) (* (/ -1 (+ (* x x) 1)) (neg x)) (/ -1 (+ (* x x) 1)) (+ (* x x) 1) (neg x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)))
1.0ms	x	@	0	((/ x (+ (* x x) 1)) (/ 1 x) (* (/ -1 (+ (* x x) 1)) (neg x)) (/ -1 (+ (* x x) 1)) (+ (* x x) 1) (neg x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)))

Time

Variable

Point

Expression

5.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify642.0ms (11.4%)

Memory

2.5MiB live, 240.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	242
1	152	239
2	365	227
3	1025	219
4	2725	217
5	6742	217
0	8206	212

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

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

rewrite394.0ms (7%)

Memory

40.9MiB live, 256.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
0	22	57
1	70	51
2	357	51
3	2959	51
0	9064	51

Stop Event

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

Counts

9 → 655

Calls

Call 1

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

Outputs
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) x)
(.f64 (pow.f64 x #s(literal -3 binary64)) (.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))
(.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) (-.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))) (+.f64 #s(literal 1 binary64) x)) (-.f64 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)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(.f64 (.f64 x (/.f64 #s(literal -1 binary64) (+.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 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #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 (neg.f64 x) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (+.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 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) x (pow.f64 x #s(literal 5 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 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 4 binary64)) #s(literal 1 binary64))) (/.f64 #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 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))) (pow.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #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 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #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 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) 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 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.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 (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal -1 binary64)) #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 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)))
(.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) x (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (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 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) x (pow.f64 x #s(literal 5 binary64))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
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(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (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 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) x (pow.f64 x #s(literal 5 binary64))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (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 (exp.f64 (-.f64 (log1p.f64 (*.f64 x x)) (log.f64 x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) x)
(/.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x x))
(/.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)) x)
(/.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (.f64 x 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))) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #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)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (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 x x #s(literal -1 binary64)) (-.f64 (fma.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 0 binary64) (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (/.f64 (neg.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 (-.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)) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #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)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 (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 x x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (*.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) 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 x x #s(literal 1 binary64)) x)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 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 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) x (pow.f64 x #s(literal 5 binary64))) (+.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 (neg.f64 x) x) (.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #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 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.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 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 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 x x #s(literal -1 binary64))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fma.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 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 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (-.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
(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 (-.f64 (log1p.f64 (.f64 x x)) (log.f64 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 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 (fma.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 x x #s(literal -1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 x (fma.f64 x x #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 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 x x #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))

eval166.0ms (2.9%)

Memory: -10.2MiB live, 154.9MiB allocated
Compiler: Compiled 14 299 to 1 874 computations (86.9% saved)

prune42.0ms (0.7%)

Memory

-5.2MiB live, 42.5MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	754	2	756
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	755	5	760

Accuracy

100.0%

Counts

760 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.7%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	72.7%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
▶	48.1%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
▶	49.0%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))
✓	53.1%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 53 to 40 computations (24.5% saved)

simplify333.0ms (5.9%)

Memory

-1.6MiB live, 192.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	60
0	16	60
1	31	60
2	55	60
3	92	60
4	127	60
5	208	60
6	510	60
7	998	60
8	2370	60
9	3880	60
10	4830	60
11	5232	60
12	5422	60
13	5498	60
14	5574	60
15	6273	60
16	7058	60
17	7492	60
18	7637	60
19	7708	60
20	7752	60
0	8052	56

Stop Event

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

Calls

Call 1

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

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

localize46.0ms (0.8%)

Memory

14.4MiB live, 52.4MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	(neg.f64 x)
accuracy	17.182567422590456	(.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
accuracy	33.14210422865329	#s(approx (/ -1 (+ (* x x) 1)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(neg.f64 x)
accuracy	17.182567422590456	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))
accuracy	32.49408600360314	#s(approx (/ -1 (+ (* x x) 1)) #s(literal -1 binary64))

Samples

38.0ms

256×

valid

Compiler

Compiled 109 to 24 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (42.6% of total)

ival-div: 2.0ms (21.3% of total)

ival-add: 2.0ms (21.3% of total)

ival-neg: 1.0ms (10.6% 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

3.3MiB live, 3.3MiB allocated

Counts

6 → 22

Calls

Call 1

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

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

1.0ms

-inf

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

0.0ms

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

simplify288.0ms (5.1%)

Memory

-8.7MiB live, 142.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	236
1	144	233
2	356	221
3	1055	213
4	3008	211
5	6428	199
0	8109	195

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

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

rewrite230.0ms (4.1%)

Memory

15.3MiB live, 53.9MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	54
0	16	54
1	62	54
2	329	54
3	3265	47
0	10917	47

Stop Event

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

Counts

6 → 384

Calls

Call 1

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

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

eval268.0ms (4.8%)

Memory: -13.1MiB live, 117.4MiB allocated
Compiler: Compiled 11 535 to 1 489 computations (87.1% saved)

prune68.0ms (1.2%)

Memory

-4.0MiB live, 32.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	440	1	441
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	440	6	446

Accuracy

100.0%

Counts

446 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.7%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	72.7%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
✓	48.1%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
✓	49.0%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))
▶	2.8%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) x)
✓	53.1%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 64 to 49 computations (23.4% saved)

simplify3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	9	22
1	13	22
0	13	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.4%)

Memory

-0.4MiB live, 43.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	17.182567422590456	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) x)
accuracy	32.49408600360314	#s(approx (/ -1 (+ (* x x) 1)) #s(literal -1 binary64))

Samples

16.0ms

256×

valid

Compiler

Compiled 42 to 18 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (55% of total)

ival-div: 2.0ms (27.5% of total)

ival-add: 1.0ms (13.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

2 → 19

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((* (/ -1 (+ (* x x) 1)) x) (/ -1 (+ (* x x) 1)))
0.0ms	x	@	0	((* (/ -1 (+ (* x x) 1)) x) (/ -1 (+ (* x x) 1)))
0.0ms	x	@	-inf	((* (/ -1 (+ (* x x) 1)) x) (/ -1 (+ (* x x) 1)))

simplify152.0ms (2.7%)

Memory

-1.7MiB live, 193.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	226
1	125	224
2	319	212
3	834	205
4	2322	202
5	6541	202
0	8136	198

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

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

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

rewrite167.0ms (3%)

Memory

8.5MiB live, 164.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	9	20
1	35	20
2	196	20
3	1602	20
0	9120	18

Stop Event

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

Counts

2 → 3

Calls

Call 1

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

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

eval2.0ms (0%)

Memory: 4.0MiB live, 4.0MiB allocated
Compiler: Compiled 335 to 66 computations (80.3% saved)

prune3.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	18	6	24

Accuracy

100.0%

Counts

24 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.7%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	72.7%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
✓	48.1%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
✓	49.0%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))
✓	53.1%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
	2.8%	#s(approx (* (/ -1 (+ (* x x) 1)) x) (neg.f64 x))

Compiler

Compiled 157 to 78 computations (50.3% saved)

regimes7.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

9 → 2

Calls

Call 1

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

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:

3.0ms	x
3.0ms	(/.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)

regimes125.0ms (2.2%)

Memory

-26.3MiB live, 12.0MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

122.0ms	x
2.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
81.3%	3	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
98.8%	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.0%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
49.0%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
2.8%	1	`x`
2.8%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch5.0ms (0.1%)

Memory

-33.2MiB live, 5.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1368.5922580576291	14554992602.631248

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)

bsearch9.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.030217740803901702	6.475138177991856

Samples

4.0ms

112×

valid

Compiler

Compiled 192 to 156 computations (18.8% saved)

Precisions

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

ival-div: 1.0ms (45.4% of total)

ival-add: 1.0ms (45.4% of total)

ival-mult: 1.0ms (45.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.030217740803901702	6.475138177991856

Samples

2.0ms

64×

valid

Compiler

Compiled 171 to 149 computations (12.9% 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)

simplify109.0ms (1.9%)

Memory

-27.6MiB live, 44.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	102
1	38	102
2	52	102
3	63	102
4	69	102
5	71	102

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 5000000 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 7656119366529843/9007199254740992 binary64)) (.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x)) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) (.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x)) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))
#s(approx (* (/ -1 (+ (* x x) 1)) x) (neg.f64 x))

Outputs
(if (<=.f64 x #s(literal 5000000 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 7656119366529843/9007199254740992 binary64)) (.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x)) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (.f64 (neg.f64 x) #s(approx (/ -1 (+ ( x x) 1)) (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 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x)) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))
#s(approx (* (/ -1 (+ (* x x) 1)) x) (neg.f64 x))

soundness1.0s (18.3%)

Memory

-4.8MiB live, 654.4MiB 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
0	12	54
0	16	54
1	62	54
2	329	54
3	3265	47
0	10917	47
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	47	226
1	125	224
2	319	212
3	834	205
4	2322	202
5	6541	202
0	8136	198
0	52	242
1	152	239
2	365	227
3	1025	219
4	2725	217
5	6742	217
0	8206	212

Stop Event

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

Compiler

Compiled 221 to 114 computations (48.4% saved)

preprocess82.0ms (1.5%)

Memory: 27.3MiB live, 101.2MiB allocated
Compiler: Compiled 274 to 104 computations (62% 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	15	67
0	22	70
1	32	68
2	49	64
3	77	64
4	175	64
5	302	64
6	510	64
7	560	64
8	587	64
9	600	64
10	606	64
0	606	64

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	15	67
0	22	70
1	32	68
2	49	64
3	77	64
4	175	64
5	302	64
6	510	64
7	560	64
8	587	64
9	600	64
10	606	64
0	606	64

start0.0ms (0%)

analyze0.0ms (0%)

sample741.0ms (13.1%)

explain67.0ms (1.2%)

preprocess62.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize19.0ms (0.3%)

series2.0ms (0%)

simplify158.0ms (2.8%)

rewrite196.0ms (3.5%)

eval36.0ms (0.6%)

prune63.0ms (1.1%)

simplify18.0ms (0.3%)

localize54.0ms (1%)

series6.0ms (0.1%)

simplify642.0ms (11.4%)

rewrite394.0ms (7%)

eval166.0ms (2.9%)

prune42.0ms (0.7%)

simplify333.0ms (5.9%)

localize46.0ms (0.8%)

series2.0ms (0%)

simplify288.0ms (5.1%)

rewrite230.0ms (4.1%)

eval268.0ms (4.8%)

prune68.0ms (1.2%)

simplify3.0ms (0%)

localize20.0ms (0.4%)

series1.0ms (0%)

simplify152.0ms (2.7%)

rewrite167.0ms (3%)

eval2.0ms (0%)

prune3.0ms (0.1%)

regimes7.0ms (0.1%)

regimes125.0ms (2.2%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch5.0ms (0.1%)

bsearch9.0ms (0.2%)

bsearch6.0ms (0.1%)

simplify109.0ms (1.9%)

soundness1.0s (18.3%)

preprocess82.0ms (1.5%)

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

Iter	Nodes	Cost
0	15	67
0	22	70
1	32	68
2	49	64
3	77	64
4	175	64
5	302	64
6	510	64
7	560	64
8	587	64
9	600	64
10	606	64
0	606	64