Metrics for x / (x^2 + 1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample715.0ms (12.2%)

Memory

37.4MiB live, 649.3MiB allocated

Samples

330.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-mult: 65.0ms (36.1% of total)

ival-div: 56.0ms (31.1% of total)

ival-add: 44.0ms (24.4% of total)

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

exact: 5.0ms (2.8% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain108.0ms (1.8%)

Memory

-29.6MiB live, 91.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
58	-	-	`(/.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	58	0
↳	`(*.f64 x x)`	overflow	58
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	58

Confusion

	Predicted +	Predicted -
+	58	0
-	0	198

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	58	0	0
-	0	0	198

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	198
1	58

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

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 (35.9% of total)

ival-div: 3.0ms (26.9% of total)

ival-add: 2.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

preprocess20.0ms (0.3%)

Memory

19.7MiB live, 19.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.8%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory

4.2MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.3%)

Memory

-9.6MiB live, 26.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy	13.594123713186425	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Samples

12.0ms

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: 2.0ms (35.9% of total)

ival-mult: 2.0ms (35.9% of total)

ival-add: 1.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

3 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

simplify144.0ms (2.5%)

Memory

23.7MiB live, 140.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	149
1	131	147
2	314	139
3	887	135
4	2406	133
5	5739	133
6	7796	133
0	8040	127

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

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

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

rewrite160.0ms (2.7%)

Memory

-6.2MiB live, 220.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	33	15
2	202	15
3	1768	15
0	8628	13

Stop Event

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

Counts

3 → 327

Calls

Call 1

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

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

eval85.0ms (1.4%)

Memory: -32.0MiB live, 62.0MiB allocated
Compiler: Compiled 7 652 to 1 078 computations (85.9% saved)

prune29.0ms (0.5%)

Memory

14.3MiB live, 50.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accuracy

100.0%

Counts

338 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	49.3%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
▶	78.7%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
▶	52.9%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 35 to 26 computations (25.7% saved)

simplify17.0ms (0.3%)

Memory

26.3MiB live, 26.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	67
0	22	70
1	32	68
2	49	64
3	79	64
4	177	64
5	311	64
6	519	64
7	569	64
8	597	64
9	610	64
10	616	64
0	616	64

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize41.0ms (0.7%)

Memory

-24.3MiB live, 49.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x #s(literal 1 binary64))
accuracy	13.594123713186425	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
accuracy	13.594123713186425	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
accuracy	32.340243113346126	#s(approx (+ (* x x) 1) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0.0	(neg.f64 x)
accuracy	0.33486780923416115	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy	13.240001488484495	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	30.13694252527239	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Samples

27.0ms

256×

valid

Compiler

Compiled 139 to 28 computations (79.9% saved)

Precisions

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

ival-div: 5.0ms (43.4% of total)

ival-mult: 4.0ms (34.8% of total)

ival-add: 1.0ms (8.7% of total)

ival-neg: 1.0ms (8.7% 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%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

9 → 24

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify356.0ms (6.1%)

Memory

1.0MiB live, 158.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	242
1	152	239
2	367	227
3	1026	219
4	2764	217
5	6957	205
0	8067	197

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

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

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

rewrite470.0ms (8%)

Memory

28.6MiB live, 298.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
0	22	57
1	70	51
2	357	51
3	2968	51
0	9134	51

Stop Event

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

Counts

9 → 655

Calls

Call 1

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

Outputs
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) x)
(.f64 (pow.f64 x #s(literal -3 binary64)) (.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))
(.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(.f64 (.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) x (pow.f64 x #s(literal 5 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)))
(.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) x (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) x (pow.f64 x #s(literal 5 binary64))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) x (pow.f64 x #s(literal 5 binary64))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (*.f64 x x)) (log.f64 x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) x)
(/.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x x))
(/.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x)) x)
(/.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (.f64 x x))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (*.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) x (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (.f64 (neg.f64 x) x) (.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 x x) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (-.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
(exp.f64 (fma.f64 (log1p.f64 (*.f64 x x)) #s(literal -1 binary64) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log1p.f64 (.f64 x x)) #s(literal -1 binary64))))
(exp.f64 (.f64 (-.f64 (log1p.f64 (.f64 x x)) (log.f64 x)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 x x)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))

eval270.0ms (4.6%)

Memory: 1.0MiB live, 161.1MiB allocated
Compiler: Compiled 14 289 to 1 876 computations (86.9% saved)

prune34.0ms (0.6%)

Memory

4.6MiB live, 42.1MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

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

Accuracy

100.0%

Counts

760 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	78.7%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
▶	47.9%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
▶	49.3%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))
✓	52.9%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 53 to 40 computations (24.5% saved)

simplify318.0ms (5.4%)

Memory

6.4MiB live, 208.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	60
0	16	60
1	31	60
2	55	60
3	92	60
4	125	60
5	206	60
6	513	60
7	1019	60
8	2479	60
9	3970	60
10	4961	60
11	5366	60
12	5556	60
13	5632	60
14	5708	60
15	6407	60
16	7188	60
17	7619	60
18	7762	60
19	7831	60
20	7874	60
0	8174	56

Stop Event

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

Calls

Call 1

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

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

localize28.0ms (0.5%)

Memory

1.8MiB live, 38.6MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0	(neg.f64 x)
accuracy	13.240001488484495	(.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
accuracy	33.20583928767467	#s(approx (/ -1 (+ (* x x) 1)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.0	(neg.f64 x)
accuracy	13.240001488484495	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))
accuracy	32.351039807444856	#s(approx (/ -1 (+ (* x x) 1)) #s(literal -1 binary64))

Samples

21.0ms

256×

valid

Compiler

Compiled 109 to 24 computations (78% saved)

Precisions

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

ival-mult: 4.0ms (41.7% of total)

ival-div: 2.0ms (20.8% of total)

ival-add: 2.0ms (20.8% of total)

ival-neg: 1.0ms (10.4% 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

1.6MiB live, 1.6MiB allocated

Counts

6 → 22

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify188.0ms (3.2%)

Memory

-2.9MiB live, 153.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	236
1	144	233
2	358	221
3	1065	213
4	3040	211
5	6425	199
0	8095	195

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

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

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

rewrite222.0ms (3.8%)

Memory

-16.7MiB live, 148.0MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	54
0	16	54
1	62	54
2	329	54
3	3277	47
0	10926	47

Stop Event

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

Counts

6 → 384

Calls

Call 1

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

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

eval264.0ms (4.5%)

Memory: -11.6MiB live, 105.5MiB allocated
Compiler: Compiled 11 535 to 1 489 computations (87.1% saved)

prune8.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

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

Accuracy

100.0%

Counts

446 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	78.7%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
✓	47.9%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
✓	49.3%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))
▶	2.7%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) x)
✓	52.9%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 64 to 49 computations (23.4% saved)

simplify3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.7%)

Memory

10.2MiB live, 46.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	13.240001488484495	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) x)
accuracy	32.351039807444856	#s(approx (/ -1 (+ (* x x) 1)) #s(literal -1 binary64))

Samples

34.0ms

256×

valid

Compiler

Compiled 42 to 18 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 25.0ms (88.6% of total)

ival-div: 2.0ms (7.1% of total)

ival-add: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

2 → 19

Calls

Call 1

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

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

Calls

3 calls:

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

simplify146.0ms (2.5%)

Memory

-5.1MiB live, 149.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	226
1	125	224
2	321	212
3	838	205
4	2339	202
5	6673	190
0	8145	186

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

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

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

rewrite143.0ms (2.4%)

Memory

11.9MiB live, 163.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	9	20
1	35	20
2	196	20
3	1607	20
0	9155	18

Stop Event

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

Counts

2 → 3

Calls

Call 1

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

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

eval2.0ms (0%)

Memory: 6.4MiB live, 6.4MiB allocated
Compiler: Compiled 327 to 66 computations (79.8% saved)

prune5.0ms (0.1%)

Memory

-29.0MiB live, 9.4MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

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

Accuracy

100.0%

Counts

24 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	78.7%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
✓	47.9%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
✓	49.3%	(.f64 #s(approx (/ -1 (+ ( x x) 1)) #s(literal -1 binary64)) (neg.f64 x))
✓	52.9%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
	2.7%	#s(approx (* (/ -1 (+ (* x x) 1)) x) (neg.f64 x))

Compiler

Compiled 157 to 78 computations (50.3% saved)

regimes7.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
77.0%	3	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
98.4%	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.3%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.3%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
49.3%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0.2%)

Memory

-28.9MiB live, 10.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
1.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
2.7%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
2.7%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch8.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	17428.00071776582	125595669.65625507

Samples

4.0ms

96×

valid

Compiler

Compiled 112 to 93 computations (17% saved)

Precisions

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

ival-div: 1.0ms (50.7% of total)

ival-mult: 1.0ms (50.7% 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)

bsearch7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.4083277993645076	1.2807077288032973

Samples

3.0ms

80×

valid

Compiler

Compiled 140 to 114 computations (18.6% saved)

Precisions

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

ival-div: 1.0ms (61.9% of total)

ival-mult: 1.0ms (61.9% 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)

bsearch96.0ms (1.6%)

Memory

-56.8MiB live, 21.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
96.0ms	0.4083277993645076	1.2807077288032973

Samples

2.0ms

48×

valid

Compiler

Compiled 125 to 109 computations (12.8% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify165.0ms (2.8%)

Memory

-4.4MiB live, 34.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	27	102
1	41	101
2	57	101
3	74	101
4	93	101
5	114	101
6	171	100
7	507	100
8	2333	100
9	3723	100
10	7232	100

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 80000000 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))
#s(approx (* (/ -1 (+ (* x x) 1)) x) (neg.f64 x))

Outputs
(if (<=.f64 x #s(literal 80000000 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 80000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 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 #s(approx (/ -1 (+ ( x x) 1)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x)) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))))
(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)))
(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)) (pow.f64 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)) x) (neg.f64 x))

soundness1.5s (25.3%)

Memory

14.0MiB live, 593.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
0	16	54
1	62	54
2	329	54
3	3277	47
0	10926	47
0	47	226
1	125	224
2	321	212
3	838	205
4	2339	202
5	6673	190
0	8145	186
0	45	149
1	131	147
2	314	139
3	887	135
4	2406	133
5	5739	133
6	7796	133
0	8040	127
0	52	242
1	152	239
2	367	227
3	1026	219
4	2764	217
5	6957	205
0	8067	197
0	5	15
0	8	15
1	33	15
2	202	15
3	1768	15
0	8628	13

Stop Event

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

Compiler

Compiled 221 to 114 computations (48.4% saved)

preprocess217.0ms (3.7%)

Memory: 22.4MiB live, 133.9MiB allocated
Compiler: Compiled 274 to 106 computations (61.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	15	67
0	22	70
1	32	68
2	49	64
3	79	64
4	177	64
5	311	64
6	519	64
7	569	64
8	597	64
9	610	64
10	616	64
0	616	64

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

Iter	Nodes	Cost
0	15	67
0	22	70
1	32	68
2	49	64
3	79	64
4	177	64
5	311	64
6	519	64
7	569	64
8	597	64
9	610	64
10	616	64
0	616	64

start0.0ms (0%)

analyze0.0ms (0%)

sample715.0ms (12.2%)

explain108.0ms (1.8%)

preprocess20.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize20.0ms (0.3%)

series2.0ms (0%)

simplify144.0ms (2.5%)

rewrite160.0ms (2.7%)

eval85.0ms (1.4%)

prune29.0ms (0.5%)

simplify17.0ms (0.3%)

localize41.0ms (0.7%)

series3.0ms (0%)

simplify356.0ms (6.1%)

rewrite470.0ms (8%)

eval270.0ms (4.6%)

prune34.0ms (0.6%)

simplify318.0ms (5.4%)

localize28.0ms (0.5%)

series2.0ms (0%)

simplify188.0ms (3.2%)

rewrite222.0ms (3.8%)

eval264.0ms (4.5%)

prune8.0ms (0.1%)

simplify3.0ms (0%)

localize39.0ms (0.7%)

series1.0ms (0%)

simplify146.0ms (2.5%)

rewrite143.0ms (2.4%)

eval2.0ms (0%)

prune5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

regimes14.0ms (0.2%)

bsearch8.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch96.0ms (1.6%)

simplify165.0ms (2.8%)

soundness1.5s (25.3%)

preprocess217.0ms (3.7%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	15	67
0	22	70
1	32	68
2	49	64
3	79	64
4	177	64
5	311	64
6	519	64
7	569	64
8	597	64
9	610	64
10	616	64
0	616	64