Metrics for x / (x^2 + 1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample734.0ms (12%)

Memory

48.7MiB live, 660.2MiB allocated

Samples

337.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-mult: 81.0ms (41.4% of total)

ival-div: 59.0ms (30.2% of total)

ival-add: 41.0ms (21% of total)

ival-true: 6.0ms (3.1% of total)

exact: 5.0ms (2.6% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain71.0ms (1.2%)

Memory

-31.9MiB live, 88.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
66	-	-	`(/.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	66	0
↳	`(*.f64 x x)`	overflow	66
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	66

Confusion

	Predicted +	Predicted -
+	66	0
-	0	190

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	0
-	0	0	190

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	190
1	66

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 62 to 24 computations (61.3% saved)

Precisions

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

ival-mult: 4.0ms (36% of total)

ival-div: 3.0ms (27% of total)

ival-add: 3.0ms (27% of total)

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

exact: 0.0ms (0% of total)

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

preprocess19.0ms (0.3%)

Memory

17.9MiB live, 17.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.1%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.3%)

Memory

-20.3MiB live, 17.0MiB 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	15.325465576342156	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Samples

15.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

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

ival-div: 3.0ms (47.4% of total)

ival-mult: 2.0ms (31.6% of total)

ival-add: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

3 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

simplify159.0ms (2.6%)

Memory

5.5MiB live, 158.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

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

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

rewrite158.0ms (2.6%)

Memory

10.7MiB live, 203.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 327

Calls

Call 1

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

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

eval49.0ms (0.8%)

Memory: 23.7MiB live, 60.4MiB allocated
Compiler: Compiled 7 652 to 1 078 computations (85.9% saved)

prune66.0ms (1.1%)

Memory

-35.6MiB live, 57.9MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	331	6	337
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	332	6	338

Accuracy

100.0%

Counts

338 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.9%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
	64.9%	(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
▶	76.1%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	54.5%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
▶	76.0%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
▶	47.9%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 146 to 94 computations (35.6% saved)

simplify380.0ms (6.2%)

Memory

32.8MiB live, 152.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	64	(-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x)))
cost-diff	704	(*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	7616	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
cost-diff	0	#s(approx (+ (* x x) 1) #s(literal 1 binary64))
cost-diff	0	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	147
0	36	114
1	79	111
2	199	109
3	705	107
4	2160	107
5	4654	107
6	7443	107
0	8049	107

Stop Event

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

Calls

Call 1

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

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

localize54.0ms (0.9%)

Memory

-4.6MiB live, 105.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.03125	(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))
accuracy	0.046875	(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
accuracy	16.242096682073736	(*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy	22.053373148177506	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
accuracy	0.0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0.0	(neg.f64 x)
accuracy	0.20030456476327052	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy	15.080313836177613	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
accuracy	15.325465576342156	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
accuracy	28.98164926611501	#s(approx (+ (* x x) 1) #s(literal 1 binary64))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	33.34713015865668	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy	0.0	(fma.f64 x x #s(literal 1 binary64))
accuracy	15.325465576342156	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))

Samples

35.0ms

256×

valid

Compiler

Compiled 311 to 43 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 9.0ms (39.6% of total)

ival-div: 8.0ms (35.2% of total)

ival-add: 3.0ms (13.2% of total)

ival-sub: 1.0ms (4.4% of total)

ival-neg: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

14 → 36

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify453.0ms (7.4%)

Memory

2.8MiB live, 237.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	333
1	224	312
2	565	305
3	2471	295
4	7035	295
0	8150	281

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

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

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

rewrite464.0ms (7.6%)

Memory

-3.4MiB live, 346.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	119
0	36	86
1	151	83
2	1060	77
0	9974	77

Stop Event

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

Counts

14 → 2 045

Calls

Call 1

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

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

eval389.0ms (6.4%)

Memory: 16.7MiB live, 356.8MiB allocated
Compiler: Compiled 54 376 to 4 624 computations (91.5% saved)

prune324.0ms (5.3%)

Memory

-15.6MiB live, 101.8MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 766	5	1 771
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 769	8	1 777

Accuracy

100.0%

Counts

1 777 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.9%	(/.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
▶	52.5%	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (neg.f64 x) x)) x)
✓	76.1%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	23.9%	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
✓	76.0%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
▶	53.5%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
▶	54.5%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))
✓	47.9%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 164 to 111 computations (32.3% saved)

simplify308.0ms (5%)

Memory

-12.2MiB live, 214.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	448	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (neg.f64 x) x))
cost-diff	1024	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (neg.f64 x) x)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x x) 1) (*.f64 x x))
cost-diff	0	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	#s(approx (/ -1 (+ (* x x) 1)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (/ -1 (+ (* x x) 1)) #s(literal -1 binary64))
cost-diff	0	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))
cost-diff	0	(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
cost-diff	7616	(/.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	170
0	41	175
1	81	154
2	203	148
3	545	147
4	3271	147
5	7514	147
0	8131	147

Stop Event

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

Calls

Call 1

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

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

localize102.0ms (1.7%)

Memory

7.9MiB live, 126.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.20030456476327052	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy	13.855493393078973	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (neg.f64 x) x)) x)
accuracy	16.03533231725282	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (neg.f64 x) x))
accuracy	0.0	(*.f64 x x)
accuracy	15.325465576342156	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
accuracy	33.21005836380615	#s(approx (+ (* x x) 1) (*.f64 x x))
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0	(neg.f64 x)
accuracy	15.080313836177613	(.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
accuracy	29.70016962340125	#s(approx (/ -1 (+ (* x x) 1)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.0	(neg.f64 x)
accuracy	15.080313836177613	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))
accuracy	28.99546362581271	#s(approx (/ -1 (+ (* x x) 1)) #s(literal -1 binary64))
accuracy	0.0	(neg.f64 x)
accuracy	0.03125	(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)
accuracy	0.046875	(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
accuracy	22.053373148177506	(/.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))

Samples

87.0ms

256×

valid

Compiler

Compiled 345 to 45 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 31.0ms (57.5% of total)

ival-add: 14.0ms (26% of total)

ival-div: 6.0ms (11.1% of total)

ival-neg: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

17 → 42

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify267.0ms (4.4%)

Memory

-8.4MiB live, 241.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	422
1	232	397
2	611	386
3	2690	372
4	7684	372
0	8469	356

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 41

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

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

rewrite110.0ms (1.8%)

Memory

-20.9MiB live, 51.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	145
0	41	145
1	141	133
0	1007	133

Stop Event

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

Counts

17 → 291

Calls

Call 1

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

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

eval151.0ms (2.5%)

Memory: 33.3MiB live, 114.1MiB allocated
Compiler: Compiled 8 579 to 1 109 computations (87.1% saved)

prune10.0ms (0.2%)

Memory

-1.9MiB live, 36.3MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	418	2	420
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	420	8	428

Accuracy

100.0%

Counts

428 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.6%	(/.f64 (/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (fma.f64 x x #s(literal 1 binary64))) x)
✓	76.1%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	23.9%	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
✓	76.0%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
▶	47.5%	(.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) x))
✓	53.5%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
✓	54.5%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))
✓	47.9%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 89 to 63 computations (29.2% saved)

simplify111.0ms (1.8%)

Memory

-0.6MiB live, 159.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	256	(*.f64 (neg.f64 x) (neg.f64 x))
cost-diff	1024	(/.f64 (/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (fma.f64 x x #s(literal 1 binary64))) x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	7040	(.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	75
0	22	72
1	42	66
2	123	57
3	385	57
4	1537	57
5	2838	57
6	4233	57
7	5902	57
8	7384	57
0	8067	57

Stop Event

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

Calls

Call 1

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

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

localize72.0ms (1.2%)

Memory

-19.9MiB live, 56.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (neg.f64 x) (neg.f64 x))
accuracy	0.0	(neg.f64 x)
accuracy	13.855493393078973	(/.f64 (/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (fma.f64 x x #s(literal 1 binary64))) x)
accuracy	15.992369069354472	(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
accuracy	0.0	(neg.f64 x)
accuracy	0.03515625	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
accuracy	0.20030456476327052	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy	33.25784598746274	(.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) x))

Samples

62.0ms

256×

valid

Compiler

Compiled 159 to 27 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 43.0ms (80.8% of total)

ival-mult: 7.0ms (13.2% of total)

ival-add: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

8 → 40

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify230.0ms (3.8%)

Memory

29.0MiB live, 100.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	472
1	194	448
2	516	436
3	1687	422
4	5543	420
0	8248	403

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 39

Calls

Call 1

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

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

rewrite64.0ms (1%)

Memory

-10.6MiB live, 26.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	60
0	22	57
1	81	51
0	538	51

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

8 → 205

Calls

Call 1

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

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

eval18.0ms (0.3%)

Memory: 20.5MiB live, 20.5MiB allocated
Compiler: Compiled 3 132 to 553 computations (82.3% saved)

prune136.0ms (2.2%)

Memory

-23.0MiB live, 13.3MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	202	2	204
Fresh	0	0	0
Picked	2	0	2
Done	0	6	6
Total	204	8	212

Accuracy

100.0%

Counts

212 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.1%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	23.9%	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
	52.4%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
✓	76.0%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
	47.1%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
✓	53.5%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
✓	54.5%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))
✓	47.9%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 286 to 117 computations (59.1% saved)

regimes11.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
(.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (fma.f64 x x #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (neg.f64 x) x)) x)
(/.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.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 (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`
99.9%	2	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes5.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
81.9%	3	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
98.6%	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
54.5%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
54.5%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	26168023.95195596	914855912.5019557

Samples

1.0ms

16×

valid

Compiler

Compiled 33 to 28 computations (15.2% 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)

bsearch169.0ms (2.8%)

Memory

-43.9MiB live, 16.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
34.0ms	26168023.95195596	914855912.5019557

Samples

32.0ms

48×

valid

Compiler

Compiled 78 to 65 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 30.0ms (97.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.37419506529670415	606.9272340561171

Samples

5.0ms

128×

valid

Compiler

Compiled 218 to 177 computations (18.8% saved)

Precisions

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

ival-div: 1.0ms (38% of total)

ival-add: 1.0ms (38% of total)

ival-mult: 1.0ms (38% of total)

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

exact: 0.0ms (0% of total)

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

bsearch141.0ms (2.3%)

Memory

-25.1MiB live, 12.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
140.0ms	0.37419506529670415	606.9272340561171

Samples

137.0ms

80×

valid

Compiler

Compiled 194 to 169 computations (12.9% saved)

Precisions

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

ival-div: 1.0ms (60.1% of total)

ival-mult: 1.0ms (60.1% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify37.0ms (0.6%)

Memory

30.1MiB live, 67.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	117
1	47	117
2	64	117
3	80	117
4	86	117
5	88	117

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 50000000 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 100000000 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 7746191359077253/9007199254740992 binary64)) (.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x)) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) (.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x)) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))

Outputs
(if (<=.f64 x #s(literal 50000000 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 100000000 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 7746191359077253/9007199254740992 binary64)) (.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x)) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 7746191359077253/9007199254740992 binary64)) (.f64 (neg.f64 x) #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64)))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) (.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x)) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))

soundness662.0ms (10.8%)

Memory

-10.6MiB live, 332.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	333
1	224	312
2	565	305
3	2471	295
4	7035	295
0	8150	281
0	5	15
0	8	15
1	33	15
2	202	15
3	1766	15
0	8562	13
0	45	149
1	131	147
2	312	139
3	883	135
4	2391	133
5	5547	133
6	7623	133
0	8043	127

Stop Event

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

Compiler

Compiled 224 to 109 computations (51.3% saved)

preprocess129.0ms (2.1%)

Memory: 31.5MiB live, 151.0MiB allocated
Compiler: Compiled 316 to 126 computations (60.1% 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%)

sample734.0ms (12%)

explain71.0ms (1.2%)

preprocess19.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize19.0ms (0.3%)

series2.0ms (0%)

simplify159.0ms (2.6%)

rewrite158.0ms (2.6%)

eval49.0ms (0.8%)

prune66.0ms (1.1%)

simplify380.0ms (6.2%)

localize54.0ms (0.9%)

series5.0ms (0.1%)

simplify453.0ms (7.4%)

rewrite464.0ms (7.6%)

eval389.0ms (6.4%)

prune324.0ms (5.3%)

simplify308.0ms (5%)

localize102.0ms (1.7%)

series4.0ms (0.1%)

simplify267.0ms (4.4%)

rewrite110.0ms (1.8%)

eval151.0ms (2.5%)

prune10.0ms (0.2%)

simplify111.0ms (1.8%)

localize72.0ms (1.2%)

series3.0ms (0.1%)

simplify230.0ms (3.8%)

rewrite64.0ms (1%)

eval18.0ms (0.3%)

prune136.0ms (2.2%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch2.0ms (0%)

bsearch169.0ms (2.8%)

bsearch11.0ms (0.2%)

bsearch141.0ms (2.3%)

simplify37.0ms (0.6%)

soundness662.0ms (10.8%)

preprocess129.0ms (2.1%)

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