Metrics for x / (x^2 + 1)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample755.0ms (10.4%)

Memory

52.7MiB live, 662.9MiB allocated

Samples

346.0ms

8 256×

valid

Precisions

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

ival-mult: 76.0ms (40.2% of total)

ival-div: 56.0ms (29.6% of total)

ival-add: 44.0ms (23.3% of total)

ival-true: 6.0ms (3.2% of total)

exact: 5.0ms (2.6% of total)

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

Bogosity

explain109.0ms (1.5%)

Memory

-32.3MiB live, 88.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
61	-	-	`(/.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	61	0
↳	`(*.f64 x x)`	overflow	61
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	61

Confusion

	Predicted +	Predicted -
+	61	0
-	0	195

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	61	0	0
-	0	0	195

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	195
1	61

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 45 to 19 computations (57.8% saved)

Precisions

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

ival-div: 5.0ms (41.7% of total)

ival-mult: 4.0ms (33.4% of total)

ival-add: 2.0ms (16.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess20.0ms (0.3%)

Memory

19.3MiB live, 19.3MiB 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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.6%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory

3.9MiB live, 3.9MiB 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	1	(+.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)

localize18.0ms (0.3%)

Memory

-11.9MiB live, 24.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	14.337722893511634	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (50% of total)

ival-div: 2.0ms (33.3% of total)

ival-add: 1.0ms (16.7% 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

3.6MiB live, 3.6MiB 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))

simplify152.0ms (2.1%)

Memory

-3.4MiB live, 149.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	149
1	131	147
2	314	139
3	887	135
4	2406	133
5	5739	133
6	7796	133
0	8040	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)

rewrite173.0ms (2.4%)

Memory

37.0MiB live, 191.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	33	15
2	202	15
3	1768	15
0	8628	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 (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 #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 #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 (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 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 (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 (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 (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 (.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 #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 (/.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 #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)))

eval57.0ms (0.8%)

Memory: 4.4MiB live, 77.8MiB allocated
Compiler: Compiled 7 652 to 1 078 computations (85.9% saved)

prune61.0ms (0.8%)

Memory

-37.3MiB live, 57.2MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	329	8	337
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	330	8	338

Accuracy

100.0%

Counts

338 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.1%	(/.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))))
▶	67.3%	(/.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)))
▶	62.2%	(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
▶	77.6%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
	44.1%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
▶	57.6%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
▶	58.3%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
	42.7%	#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))

Compiler

Compiled 246 to 140 computations (43.1% saved)

simplify411.0ms (5.7%)

Memory

14.4MiB live, 205.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
cost-diff	1	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
cost-diff	2	(/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)
cost-diff	3	(-.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)))
cost-diff	6	(*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))
cost-diff	8	(/.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)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
cost-diff	0	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) 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))
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	186
0	48	144
1	88	144
2	198	142
3	512	142
4	2045	137
5	7118	137
0	8463	136

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (2.7%)

Memory

22.7MiB live, 140.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
accuracy	0.0859375	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
accuracy	23.788330191169454	(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
accuracy	0.0	(neg.f64 x)
accuracy	0.08203125	(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))
accuracy	14.285718751022122	(/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)
accuracy	20.635896101833954	(/.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)))
accuracy	0.0	(*.f64 x x)
accuracy	0.05078125	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
accuracy	0.19970864636907545	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	27.118200906210102	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	26.678348562925233	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy	0.0	(fma.f64 x x #s(literal 1 binary64))
accuracy	14.337722893511634	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))

Samples

177.0ms

256×

valid

Compiler

Compiled 192 to 27 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-add: 131.0ms (81.1% of total)

ival-div: 15.0ms (9.3% of total)

ival-mult: 7.0ms (4.3% of total)

ival-sub: 3.0ms (1.9% of total)

ival-pow: 3.0ms (1.9% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series165.0ms (2.3%)

Memory

-22.4MiB live, 15.9MiB allocated

Counts

20 → 41

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
159.0ms	x	@	0	((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (/ (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)) (/ (- (* 0 (/ (+ (* (neg x) x) -1) x)) (+ (* (neg x) x) -1)) (* (+ (* (neg x) x) -1) (/ (+ (* (neg x) x) -1) x))) (* 0 (/ (+ (* (neg x) x) -1) x)) (- (* 0 (/ (+ (* (neg x) x) -1) x)) (+ (* (neg x) x) -1)) (/ (+ (* (neg x) x) -1) x) (* (+ (* x x) -1) x) (/ (* (+ (* x x) -1) x) (- (pow x 4) 1)) (+ (* x x) -1) (- (pow x 4) 1) (* x x) (* (+ (* (neg x) x) -1) (/ (+ (* (neg x) x) -1) x)) (neg x) (pow x 4))
3.0ms	x	@	inf	((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (/ (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)) (/ (- (* 0 (/ (+ (* (neg x) x) -1) x)) (+ (* (neg x) x) -1)) (* (+ (* (neg x) x) -1) (/ (+ (* (neg x) x) -1) x))) (* 0 (/ (+ (* (neg x) x) -1) x)) (- (* 0 (/ (+ (* (neg x) x) -1) x)) (+ (* (neg x) x) -1)) (/ (+ (* (neg x) x) -1) x) (* (+ (* x x) -1) x) (/ (* (+ (* x x) -1) x) (- (pow x 4) 1)) (+ (* x x) -1) (- (pow x 4) 1) (* x x) (* (+ (* (neg x) x) -1) (/ (+ (* (neg x) x) -1) x)) (neg x) (pow x 4))
3.0ms	x	@	-inf	((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (/ (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)) (/ (- (* 0 (/ (+ (* (neg x) x) -1) x)) (+ (* (neg x) x) -1)) (* (+ (* (neg x) x) -1) (/ (+ (* (neg x) x) -1) x))) (* 0 (/ (+ (* (neg x) x) -1) x)) (- (* 0 (/ (+ (* (neg x) x) -1) x)) (+ (* (neg x) x) -1)) (/ (+ (* (neg x) x) -1) x) (* (+ (* x x) -1) x) (/ (* (+ (* x x) -1) x) (- (pow x 4) 1)) (+ (* x x) -1) (- (pow x 4) 1) (* x x) (* (+ (* (neg x) x) -1) (/ (+ (* (neg x) x) -1) x)) (neg x) (pow x 4))

Time

Variable

Point

Expression

159.0ms

((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (/ (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)) (/ (- (* 0 (/ (+ (* (neg x) x) -1) x)) (+ (* (neg x) x) -1)) (* (+ (* (neg x) x) -1) (/ (+ (* (neg x) x) -1) x))) (* 0 (/ (+ (* (neg x) x) -1) x)) (- (* 0 (/ (+ (* (neg x) x) -1) x)) (+ (* (neg x) x) -1)) (/ (+ (* (neg x) x) -1) x) (* (+ (* x x) -1) x) (/ (* (+ (* x x) -1) x) (- (pow x 4) 1)) (+ (* x x) -1) (- (pow x 4) 1) (* x x) (* (+ (* (neg x) x) -1) (/ (+ (* (neg x) x) -1) x)) (neg x) (pow x 4))

3.0ms

inf

((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (/ (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)) (/ (- (* 0 (/ (+ (* (neg x) x) -1) x)) (+ (* (neg x) x) -1)) (* (+ (* (neg x) x) -1) (/ (+ (* (neg x) x) -1) x))) (* 0 (/ (+ (* (neg x) x) -1) x)) (- (* 0 (/ (+ (* (neg x) x) -1) x)) (+ (* (neg x) x) -1)) (/ (+ (* (neg x) x) -1) x) (* (+ (* x x) -1) x) (/ (* (+ (* x x) -1) x) (- (pow x 4) 1)) (+ (* x x) -1) (- (pow x 4) 1) (* x x) (* (+ (* (neg x) x) -1) (/ (+ (* (neg x) x) -1) x)) (neg x) (pow x 4))

3.0ms

-inf

((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (/ (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)) (/ (- (* 0 (/ (+ (* (neg x) x) -1) x)) (+ (* (neg x) x) -1)) (* (+ (* (neg x) x) -1) (/ (+ (* (neg x) x) -1) x))) (* 0 (/ (+ (* (neg x) x) -1) x)) (- (* 0 (/ (+ (* (neg x) x) -1) x)) (+ (* (neg x) x) -1)) (/ (+ (* (neg x) x) -1) x) (* (+ (* x x) -1) x) (/ (* (+ (* x x) -1) x) (- (pow x 4) 1)) (+ (* x x) -1) (- (pow x 4) 1) (* x x) (* (+ (* (neg x) x) -1) (/ (+ (* (neg x) x) -1) x)) (neg x) (pow x 4))

simplify209.0ms (2.9%)

Memory

37.8MiB live, 216.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	328
1	239	313
2	650	286
3	2222	282
4	6133	282
0	8200	259

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 40

Calls

Call 1

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

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

rewrite405.0ms (5.6%)

Memory

-27.9MiB live, 294.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	168
0	48	120
1	203	108
2	1627	106
0	8825	106

Stop Event

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

Counts

20 → 1 626

Calls

Call 1

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

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

eval258.0ms (3.6%)

Memory: 25.5MiB live, 224.0MiB allocated
Compiler: Compiled 32 381 to 3 989 computations (87.7% saved)

prune84.0ms (1.2%)

Memory

-4.4MiB live, 70.9MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 226	3	1 229
Fresh	2	1	3
Picked	1	4	5
Done	0	0	0
Total	1 229	8	1 237

Accuracy

100.0%

Counts

1 237 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.3%	(/.f64 (-.f64 #s(approx (* 0 (/ (+ (* (neg x) x) -1) x)) #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)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)))
▶	62.2%	(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
✓	62.2%	(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
✓	77.6%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	44.1%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
▶	76.0%	(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
✓	57.6%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
✓	58.3%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 121 to 74 computations (38.8% saved)

simplify145.0ms (2%)

Memory

-7.9MiB live, 156.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* 0 (/ (+ (* (neg x) x) -1) x)) #s(literal 0 binary64))
cost-diff	1	(-.f64 #s(approx (* 0 (/ (+ (* (neg x) x) -1) x)) #s(literal 0 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
cost-diff	1	(/.f64 (-.f64 #s(approx (* 0 (/ (+ (* (neg x) x) -1) x)) #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)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)))
cost-diff	2	(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	1	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
cost-diff	3	(fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))
cost-diff	5	(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 (.f64 x x) (*.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	(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	1	(*.f64 x (+.f64 #s(literal 1 binary64) x))
cost-diff	3	(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	9	(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	202
0	53	182
1	107	171
2	257	144
3	916	144
4	6976	142
0	8419	140

Stop Event

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

Calls

Call 1

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

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

localize268.0ms (3.7%)

Memory

-7.6MiB live, 186.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (* 0 (/ (+ (* (neg x) x) -1) x)) #s(literal 0 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))
accuracy	14.285718751022122	(/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)
accuracy	20.635896101833954	(/.f64 (-.f64 #s(approx (* 0 (/ (+ (* (neg x) x) -1) x)) #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)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0859375	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
accuracy	0.1015625	(fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))
accuracy	23.788330191169454	(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
accuracy	14.337722893511634	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
accuracy	35.660817774391504	#s(approx (+ (* x x) 1) #s(literal 1 binary64))
accuracy	0.01953125	(*.f64 x (+.f64 #s(literal 1 binary64) x))
accuracy	0.0234375	(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
accuracy	14.306472893511634	(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	14.797042814100346	(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64)))

Samples

234.0ms

256×

valid

Compiler

Compiled 218 to 28 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-neg: 152.0ms (84% of total)

ival-mult: 11.0ms (6.1% of total)

ival-div: 10.0ms (5.5% of total)

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

ival-sub: 2.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

16 → 53

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify213.0ms (2.9%)

Memory

4.7MiB live, 206.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	482
1	379	453
2	992	430
3	2997	410
4	7547	410
0	8130	395

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 52

Calls

Call 1

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

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

rewrite313.0ms (4.3%)

Memory

-12.3MiB live, 287.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	171
0	53	150
1	216	113
2	2000	101
0	9129	100

Stop Event

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

Counts

16 → 1 262

Calls

Call 1

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

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

eval318.0ms (4.4%)

Memory: 9.8MiB live, 272.9MiB allocated
Compiler: Compiled 40 372 to 3 661 computations (90.9% saved)

prune29.0ms (0.4%)

Memory

-8.6MiB live, 80.2MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 275	4	1 279
Fresh	0	0	0
Picked	3	1	4
Done	1	3	4
Total	1 279	8	1 287

Accuracy

100.0%

Counts

1 287 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.4%	(/.f64 (.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
▶	42.7%	(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(approx (+ ( (* x x) (* x x)) -1) #s(literal -1 binary64)))
▶	62.2%	(/.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))
✓	77.6%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	44.1%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
▶	36.0%	(.f64 #s(approx (/ ( x (+ 1 x)) (+ (* x x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
✓	57.6%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
✓	58.3%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 120 to 74 computations (38.3% saved)

simplify232.0ms (3.2%)

Memory

4.7MiB live, 233.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 x x x)
cost-diff	2	(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
cost-diff	7	(/.f64 (.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (+ (* (* x x) (* x x)) -1) #s(literal -1 binary64))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(approx (+ ( (* x x) (* x x)) -1) #s(literal -1 binary64)))
cost-diff	1	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
cost-diff	1	(.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x)
cost-diff	3	(fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))
cost-diff	3	(*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
cost-diff	5	(/.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (* x (+ 1 x)) (+ (* x x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
cost-diff	2	(.f64 #s(approx (/ ( x (+ 1 x)) (+ (* x x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
cost-diff	3	(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	202
0	50	189
1	118	184
2	297	156
3	1015	151
4	3986	151
0	8348	151

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (0.9%)

Memory

10.5MiB live, 171.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.0	(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
accuracy	0.0859375	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
accuracy	20.561677351833954	(/.f64 (.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0859375	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
accuracy	23.788330191169454	(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(approx (+ ( (* x x) (* x x)) -1) #s(literal -1 binary64)))
accuracy	36.80499481781895	#s(approx (+ (* (* x x) (* x x)) -1) #s(literal -1 binary64))
accuracy	0.0234375	(*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
accuracy	0.0859375	(.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x)
accuracy	0.1015625	(fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))
accuracy	23.788330191169454	(/.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))
accuracy	0.00390625	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
accuracy	0.0234375	(.f64 #s(approx (/ ( x (+ 1 x)) (+ (* x x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
accuracy	14.306472893511634	(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	26.661060391971027	#s(approx (/ (* x (+ 1 x)) (+ (* x x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))

Samples

50.0ms

256×

valid

Compiler

Compiled 206 to 27 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 17.0ms (46.3% of total)

ival-div: 11.0ms (29.9% of total)

ival-add: 6.0ms (16.3% of total)

ival-sub: 2.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

series118.0ms (1.6%)

Memory

-23.7MiB live, 12.6MiB allocated

Counts

17 → 52

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

114.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify414.0ms (5.7%)

Memory

26.0MiB live, 219.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	473
1	374	443
2	999	415
3	4284	405
0	8323	387

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 51

Calls

Call 1

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

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

rewrite260.0ms (3.6%)

Memory

-4.5MiB live, 203.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	169
0	50	151
1	229	125
2	1794	121
0	8385	121

Stop Event

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

Counts

17 → 1 762

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.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 (*.f64 x x) #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 x (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 x (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 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 x (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 x (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 x (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 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (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 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) (.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (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)))) (neg.f64 (+.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (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)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (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 x (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (neg.f64 (fma.f64 x x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal -1 binary64))) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (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 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (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 (pow.f64 (/.f64 x (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 x (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 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
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(fma.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)))
(fma.f64 x (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (-.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)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(+.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 x x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (neg.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 x x) #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 (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x 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 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval197.0ms (2.7%)

Memory: 10.2MiB live, 231.6MiB allocated
Compiler: Compiled 38 746 to 4 120 computations (89.4% saved)

prune27.0ms (0.4%)

Memory

-9.7MiB live, 75.4MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 251	3	1 254
Fresh	0	0	0
Picked	3	1	4
Done	0	4	4
Total	1 254	8	1 262

Accuracy

100.0%

Counts

1 262 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.4%	(/.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
✓	42.7%	(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(approx (+ ( (* x x) (* x x)) -1) #s(literal -1 binary64)))
	67.4%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
✓	77.6%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	44.1%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
	58.3%	(.f64 #s(approx (/ ( x (+ 1 x)) (+ (* x x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
✓	57.6%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
✓	58.3%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 434 to 152 computations (65% saved)

regimes11.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
100.0%	2	`x`
99.8%	2	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Memory

-22.4MiB live, 13.5MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
81.2%	3	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
98.2%	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

-31.1MiB live, 8.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
58.3%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
58.3%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch3.0ms (0%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	44884217.410024345	348329193.2739463

Samples

1.0ms

32×

valid

Compiler

Compiled 56 to 47 computations (16.1% 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)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	44884217.410024345	348329193.2739463

Compiler

Compiled 36 to 26 computations (27.8% saved)

bsearch2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	948.3443875000764	629286.374196732

Samples

1.0ms

16×

valid

Compiler

Compiled 40 to 29 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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)

bsearch5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	44884217.410024345	348329193.2739463

Samples

2.0ms

64×

valid

Compiler

Compiled 112 to 93 computations (17% 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)

bsearch60.0ms (0.8%)

Memory

-29.2MiB live, 14.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
58.0ms	0.004242566620961538	1.7388494017178464

Samples

5.0ms

128×

valid

Compiler

Compiled 170 to 145 computations (14.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (39.4% of total)

ival-add: 1.0ms (39.4% of total)

ival-mult: 1.0ms (39.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify84.0ms (1.2%)

Memory

13.2MiB live, 51.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	147
1	52	147
2	61	147
3	77	147
4	85	147
5	94	147
6	101	147
7	119	147
8	219	147
9	3619	147
10	7101	147

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 200000000 binary64)) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(approx (/ x (+ ( x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 50000000 binary64)) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) #s(approx (/ x (+ ( x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1000 binary64)) (/.f64 (fma.f64 x x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(approx (/ x (+ ( x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(if (<=.f64 x #s(literal 132000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Outputs
(if (<=.f64 x #s(literal 200000000 binary64)) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(approx (/ x (+ ( x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 200000000 binary64)) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(approx (/ x (+ ( x x) 1)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 50000000 binary64)) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) #s(approx (/ x (+ ( x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 50000000 binary64)) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) #s(approx (/ x (+ ( x x) 1)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 1000 binary64)) (/.f64 (fma.f64 x x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(approx (/ x (+ ( x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(if (<=.f64 x #s(literal 1000 binary64)) (/.f64 (fma.f64 x x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(approx (/ x (+ ( x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64))) x)))
(if (<=.f64 x #s(literal 132000000 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 132000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))

soundness1.1s (15.4%)

Memory

11.9MiB live, 608.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	171
0	53	150
1	216	113
2	2000	101
0	9129	100
0	31	169
0	50	151
1	229	125
2	1794	121
0	8385	121
0	45	149
1	131	147
2	314	139
3	887	135
4	2406	133
5	5739	133
6	7796	133
0	8040	127
0	29	168
0	48	120
1	203	108
2	1627	106
0	8825	106
0	5	15
0	8	15
1	33	15
2	202	15
3	1768	15
0	8628	13

Stop Event

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

Compiler

Compiled 331 to 148 computations (55.3% saved)

preprocess272.0ms (3.7%)

Memory: 19.7MiB live, 94.0MiB allocated
Compiler: Compiled 430 to 180 computations (58.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample755.0ms (10.4%)

explain109.0ms (1.5%)

preprocess20.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize18.0ms (0.3%)

series2.0ms (0%)

simplify152.0ms (2.1%)

rewrite173.0ms (2.4%)

eval57.0ms (0.8%)

prune61.0ms (0.8%)

simplify411.0ms (5.7%)

localize194.0ms (2.7%)

series165.0ms (2.3%)

simplify209.0ms (2.9%)

rewrite405.0ms (5.6%)

eval258.0ms (3.6%)

prune84.0ms (1.2%)

simplify145.0ms (2%)

localize268.0ms (3.7%)

series7.0ms (0.1%)

simplify213.0ms (2.9%)

rewrite313.0ms (4.3%)

eval318.0ms (4.4%)

prune29.0ms (0.4%)

simplify232.0ms (3.2%)

localize68.0ms (0.9%)

series118.0ms (1.6%)

simplify414.0ms (5.7%)

rewrite260.0ms (3.6%)

eval197.0ms (2.7%)

prune27.0ms (0.4%)

regimes11.0ms (0.2%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

bsearch5.0ms (0.1%)

bsearch60.0ms (0.8%)

simplify84.0ms (1.2%)

soundness1.1s (15.4%)

preprocess272.0ms (3.7%)

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