Metrics for x / (x^2 + 1)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

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)

sample900.0ms (23.4%)

Memory

-2.0MiB live, 633.9MiB allocated; 951ms collecting garbage

Samples

414.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 276.0ms

ival-div: 142.0ms (51.4% of total)

ival-mult: 74.0ms (26.8% of total)

ival-add: 45.0ms (16.3% of total)

ival-true: 6.0ms (2.2% of total)

exact: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain71.0ms (1.9%)

Memory

31.6MiB live, 78.2MiB allocated; 3ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	n/o	61	0
↳	`(*.f64 x x)`	overflow	61
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	61

Confusion

	Predicted +	Predicted -
+	61	0
-	0	195

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	195
1	61

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions

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

ival-mult: 4.0ms (36.9% of total)

ival-div: 3.0ms (27.7% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess20.0ms (0.5%)

Memory

-19.9MiB live, 24.2MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	24	15
2	56	14
3	71	14
4	91	14
0	5	7
0	8	7
1	15	7
2	34	7
3	61	7
4	78	7
5	81	7
6	89	7
7	91	7
0	91	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; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.8%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	8	17
1	15	17
2	34	17
3	61	17
4	78	17
5	81	17
6	89	17
7	91	17
0	91	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)

localize15.0ms (0.4%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	14.226334848716595	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Samples

10.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (38.7% of total)

ival-mult: 2.0ms (38.7% of total)

ival-add: 1.0ms (19.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

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))

simplify142.0ms (3.7%)

Memory

-8.6MiB live, 98.0MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	152
1	128	150
2	336	142
3	1106	140
4	2977	137
5	7066	135
0	8174	131

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

rewrite108.0ms (2.8%)

Memory

0.9MiB live, 135.1MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	33	15
2	220	15
3	2396	15
0	9308	13

Stop Event

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

Counts

3 → 236

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 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (neg.f64 (/.f64 (-.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)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (neg.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 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 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 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 (-.f64 #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 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.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)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 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 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 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)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (tanh.f64 (log.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (tanh.f64 (log.f64 x))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (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))) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 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)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (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 (/.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 -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 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)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.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)))) (neg.f64 (+.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)))))))
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(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.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)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval138.0ms (3.6%)

Memory: -3.4MiB live, 52.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 6 541 to 808 computations (87.6% saved)

prune15.0ms (0.4%)

Memory

-29.0MiB live, 14.9MiB allocated; 7ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	245	4	249
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	246	4	250

Accuracy

100.0%

Counts

250 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.4%	(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
▶	77.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	51.3%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
▶	51.5%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify174.0ms (4.5%)

Memory

33.1MiB live, 175.7MiB allocated; 23ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
cost-diff	1	(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
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	(/.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	18	77
0	27	77
1	47	77
2	119	75
3	311	75
4	903	75
5	2330	75
6	5757	75
0	8090	75

Stop Event

1×	iter limit
1×	node limit
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 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)
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 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)
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

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

localize40.0ms (1%)

Memory

5.0MiB live, 51.0MiB allocated; 4ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
accuracy	0.0546875	(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
accuracy	22.99432626149146	(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 x x #s(literal 1 binary64))
accuracy	14.226334848716595	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
accuracy	14.226334848716595	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
accuracy	31.020582877750687	#s(approx (+ (* x x) 1) #s(literal 1 binary64))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	31.069330820362527	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Samples

25.0ms

256×

valid

Compiler

Compiled 79 to 15 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 5.0ms (32.9% of total)

ival-mult: 3.0ms (19.7% of total)

ival-pow: 3.0ms (19.7% of total)

ival-add: 2.0ms (13.1% of total)

ival-sub: 1.0ms (6.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Counts

11 → 26

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* x (+ (* x x) -1)) (/ (* x (+ (* x x) -1)) (- (pow x 4) 1)) (+ (* x x) -1) (- (pow x 4) 1) (pow x 4))
1.0ms	x	@	0	((/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* x (+ (* x x) -1)) (/ (* x (+ (* x x) -1)) (- (pow x 4) 1)) (+ (* x x) -1) (- (pow x 4) 1) (pow x 4))
1.0ms	x	@	inf	((/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* x (+ (* x x) -1)) (/ (* x (+ (* x x) -1)) (- (pow x 4) 1)) (+ (* x x) -1) (- (pow x 4) 1) (pow x 4))

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

simplify299.0ms (7.8%)

Memory

-9.1MiB live, 130.7MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	223
1	152	213
2	370	213
3	1221	210
4	3283	205
5	7566	203
0	8290	198

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 25

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

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

rewrite155.0ms (4%)

Memory

0.6MiB live, 252.9MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	67
0	27	61
1	100	61
2	607	60
0	8458	60

Stop Event

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

Counts

11 → 884

Calls

Call 1

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

Outputs
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 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 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (+ ( x x) 1) #s(literal 1 binary64))))
(.f64 x (/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ ( x x) 1) #s(literal 1 binary64)))))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64))))
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (+ (* x x) 1) #s(literal 1 binary64))))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (-.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 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.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 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) x)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))))
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(fma.f64 (.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 (neg.f64 x) x) (.f64 x x) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) (.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 x x) (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (sinh.f64 (.f64 (log.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) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 x x) (*.f64 (neg.f64 x) x))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64) (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
(sqrt.f64 (pow.f64 x #s(literal 8 binary64)))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))
(+.f64 (neg.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (neg.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))
(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))

eval175.0ms (4.5%)

Memory: -1.3MiB live, 89.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 16 282 to 2 061 computations (87.3% saved)

prune75.0ms (2%)

Memory

-14.3MiB live, 37.7MiB allocated; 9ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	732	2	734
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	733	5	738

Accuracy

100.0%

Counts

738 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.5%	(/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
✓	77.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	29.1%	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
✓	51.3%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
✓	51.5%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 52 to 33 computations (36.5% saved)

simplify378.0ms (9.8%)

Memory

6.1MiB live, 181.9MiB allocated; 42ms collecting garbage

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	62
0	19	62
1	48	60
2	178	50
3	820	50
4	4791	50
0	8239	47

Stop Event

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

Calls

Call 1

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

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

localize31.0ms (0.8%)

Memory

1.2MiB live, 44.5MiB allocated; 8ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0546875	(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.06869125976844201	(fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))
accuracy	22.99432626149146	(/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	14.226334848716595	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
accuracy	30.925715827013825	#s(approx (+ (* x x) 1) (*.f64 x x))

Samples

23.0ms

256×

valid

Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 9.0ms (56.8% of total)

ival-div: 3.0ms (18.9% of total)

ival-add: 3.0ms (18.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Counts

7 → 26

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify199.0ms (5.2%)

Memory

9.9MiB live, 156.0MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	223
1	152	213
2	370	213
3	1224	210
4	3295	205
5	7599	203
0	8323	198

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 25

Calls

Call 1

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

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

rewrite252.0ms (6.6%)

Memory

7.0MiB live, 94.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	19	54
1	87	50
2	655	44
0	9060	41

Stop Event

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

Counts

7 → 676

Calls

Call 1

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

Outputs
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (+ ( x x) 1) (*.f64 x x))))
(.f64 x (/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ ( x x) 1) (*.f64 x x)))))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))
(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (+ (* x x) 1) (*.f64 x x))))
#s(approx (+ (* x x) 1) (*.f64 x x))
(neg.f64 (neg.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.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 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 x (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 8 binary64))) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))))
(.f64 (fma.f64 x x x) (/.f64 (-.f64 x #s(literal 1 binary64)) (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 x (expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 8 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 (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) x))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 x (expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) x))
(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (expm1.f64 (.f64 (log.f64 x) #s(literal 4 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 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))))
(*.f64 (neg.f64 x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (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 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))))
(.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))
(*.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 8 binary64)))) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 x (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 x (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 x (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 x (expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (+.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (fma.f64 (-.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)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (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 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.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 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 8 binary64)))))
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(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (expm1.f64 (*.f64 (log.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)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (expm1.f64 (*.f64 (log.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)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 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)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (.f64 (neg.f64 x) x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (.f64 (neg.f64 x) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(fma.f64 (.f64 (neg.f64 x) x) (/.f64 (.f64 (neg.f64 x) x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 (neg.f64 x) x) (/.f64 (.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 x (neg.f64 x) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(expm1.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(expm1.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(expm1.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal -1 binary64) (*.f64 x x))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.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 #s(literal 1 binary64) (-.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 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 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 (/.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 #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -1 binary64))

eval222.0ms (5.8%)

Memory: -2.5MiB live, 150.3MiB allocated; 44ms collecting garbage
Compiler: Compiled 17 530 to 2 030 computations (88.4% saved)

prune18.0ms (0.5%)

Memory

12.4MiB live, 54.1MiB allocated; 8ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	756	0	756
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	756	5	761

Accuracy

100.0%

Counts

761 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.5%	(/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
✓	77.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	29.1%	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
✓	51.3%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
✓	51.5%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 123 to 59 computations (52% saved)

regimes9.0ms (0.2%)

Memory

-32.4MiB live, 11.7MiB allocated; 7ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
2.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
79.5%	4	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
98.8%	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
51.5%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
51.5%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	2892912.2893843586	210380298495.0638

Samples

1.0ms

16×

valid

Compiler

Compiled 27 to 23 computations (14.8% saved)

Precisions

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

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

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

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

adjust: 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)

bsearch17.0ms (0.4%)

Memory

-33.7MiB live, 24.4MiB allocated; 10ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.006105585925801851	3.0827600743882355

Samples

5.0ms

128×

valid

Compiler

Compiled 170 to 145 computations (14.7% saved)

Precisions

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

ival-div: 1.0ms (39.6% of total)

ival-add: 1.0ms (39.6% of total)

ival-mult: 1.0ms (39.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.3%)

Memory

26.9MiB live, 26.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	56
1	25	56
2	44	56
3	71	56
4	88	56
5	91	56
6	98	56
7	106	56
8	110	56

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 x #s(literal 5000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))

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

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

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

derivations272.0ms (7.1%)

Memory

-6.1MiB live, 180.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	33	15
2	220	15
3	2396	15
0	9308	13
0	45	152
1	128	150
2	336	142
3	1106	140
4	2977	137
5	7066	135
0	8174	131

Stop Event

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

Compiler

Compiled 56 to 18 computations (67.9% saved)

preprocess87.0ms (2.3%)

Memory: 6.7MiB live, 93.6MiB allocated; 16ms collecting garbage
Compiler: Compiled 224 to 112 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	7	17
1	24	15
2	56	14
3	71	14
4	91	14
0	5	7
0	8	7
1	15	7
2	34	7
3	61	7
4	78	7
5	81	7
6	89	7
7	91	7
0	91	6

Iter	Nodes	Cost
0	7	17
1	24	15
2	56	14
3	71	14
4	91	14
0	5	7
0	8	7
1	15	7
2	34	7
3	61	7
4	78	7
5	81	7
6	89	7
7	91	7
0	91	6

start0.0ms (0%)

analyze0.0ms (0%)

sample900.0ms (23.4%)

explain71.0ms (1.9%)

preprocess20.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize15.0ms (0.4%)

series2.0ms (0.1%)

simplify142.0ms (3.7%)

rewrite108.0ms (2.8%)

eval138.0ms (3.6%)

prune15.0ms (0.4%)

simplify174.0ms (4.5%)

localize40.0ms (1%)

series4.0ms (0.1%)

simplify299.0ms (7.8%)

rewrite155.0ms (4%)

eval175.0ms (4.5%)

prune75.0ms (2%)

simplify378.0ms (9.8%)

localize31.0ms (0.8%)

series3.0ms (0.1%)

simplify199.0ms (5.2%)

rewrite252.0ms (6.6%)

eval222.0ms (5.8%)

prune18.0ms (0.5%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch2.0ms (0%)

bsearch17.0ms (0.4%)

simplify11.0ms (0.3%)

derivations272.0ms (7.1%)

preprocess87.0ms (2.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	17
1	24	15
2	56	14
3	71	14
4	91	14
0	5	7
0	8	7
1	15	7
2	34	7
3	61	7
4	78	7
5	81	7
6	89	7
7	91	7
0	91	6