Metrics for Asymptote A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze5.0ms (0.1%)

Memory

-30.3MiB live, 6.9MiB 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
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.2s (20.2%)

Memory

12.5MiB live, 1 326.3MiB allocated

Samples

538.0ms	3 888×	1	valid
323.0ms	4 368×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 575.0ms

ival-div: 188.0ms (32.7% of total)

ival-sub: 149.0ms (25.9% of total)

ival-add: 139.0ms (24.2% of total)

adjust: 85.0ms (14.8% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain166.0ms (2.7%)

Memory

-20.5MiB live, 118.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`	cancellation	68	0

Confusion

	Predicted +	Predicted -
+	68	0
-	0	188

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	68	0	0
-	0	0	188

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	188
1	68

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms	260×	0	valid
30.0ms	252×	1	valid

Compiler

Compiled 73 to 25 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 11.0ms (38.5% of total)

ival-sub: 7.0ms (24.5% of total)

adjust: 6.0ms (21% of total)

ival-add: 4.0ms (14% of total)

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

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

exact: 0.0ms (0% of total)

preprocess12.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	12	27
0	7	11
0	12	11
1	15	11
0	15	11

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify6.0ms (0.1%)

Memory

-26.4MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	29
0	12	29
1	15	29
0	15	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.6%)

Memory

2.0MiB live, 52.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy	14.261441782476199	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Samples

17.0ms	126×	1	valid
13.0ms	130×	0	valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

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

ival-div: 6.0ms (37.1% of total)

adjust: 3.0ms (18.5% of total)

ival-sub: 3.0ms (18.5% of total)

ival-add: 2.0ms (12.4% of total)

ival-true: 2.0ms (12.4% of total)

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

4 → 31

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)))
1.0ms	x	@	0	((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)))
0.0ms	x	@	-inf	((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)))

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

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

0.0ms

-inf

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

simplify212.0ms (3.5%)

Memory

20.8MiB live, 250.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	307
1	232	287
2	686	276
3	2828	273
0	8280	266

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 30

Calls

Call 1

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

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

rewrite405.0ms (6.7%)

Memory

-22.4MiB live, 172.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	12	24
1	58	24
2	490	24
3	6775	24
0	8604	22

Stop Event

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

Counts

4 → 593

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) (+.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 x (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -4 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -6 binary64)))) (fma.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -4 binary64))))
(.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
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(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x x) (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x x)))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 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 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 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 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 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))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (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)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 #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)) x))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (cosh.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))) (sinh.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))
(-.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))
(+.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 x x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (*.f64 x x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 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 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 x (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 (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(+.f64 (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x x)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 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 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))) (sinh.f64 (neg.f64 (log.f64 (-.f64 x #s(literal 1 binary64))))))
(+.f64 (pow.f64 (fma.f64 x x #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 (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)) x))
(+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))

eval231.0ms (3.8%)

Memory: 5.9MiB live, 133.3MiB allocated
Compiler: Compiled 16 146 to 1 751 computations (89.2% saved)

prune79.0ms (1.3%)

Memory

-7.8MiB live, 32.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	611	8	619
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	612	8	620

Accuracy

100.0%

Counts

620 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.4%	(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
	77.7%	(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
▶	82.3%	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
	47.4%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
	47.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
▶	52.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x))
▶	51.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
▶	48.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 248 to 156 computations (37.1% saved)

simplify143.0ms (2.4%)

Memory

16.8MiB live, 62.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	182
0	41	201
1	68	195
2	158	141
3	373	126
4	872	126
5	2041	126
0	8181	126

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
#s(literal -2 binary64)
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
#s(literal -2 binary64)
(*.f64 x x)
x
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
#s(literal -2 binary64)
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal -2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x

localize121.0ms (2%)

Memory

-7.2MiB live, 68.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.03125	(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
accuracy	0.09765625	(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
accuracy	0.6732321643896491	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	30.28105792516868	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x))
accuracy	0.0	(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	0.5912009143896491	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	30.27274923327414	(-.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.6732321643896491	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	30.421362553636587	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
accuracy	33.23528339116124	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.0625	(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
accuracy	30.27274923327414	(-.f64 (-.f64 x #s(literal 1 binary64)) x)

Samples

45.0ms	125×	0	valid
39.0ms	131×	1	valid

Compiler

Compiled 166 to 24 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 45.0ms (68.6% of total)

ival-sub: 9.0ms (13.7% of total)

adjust: 6.0ms (9.2% of total)

ival-add: 3.0ms (4.6% of total)

ival-mult: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

16 → 35

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((- (- x 1) x) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (* x x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ (- -2 (/ 2 (* x x))) x) x) (/ (- -2 (/ 2 (* x x))) x) (- -2 (/ 2 (* x x))) (+ x 1) (/ 2 (* x x)))
2.0ms	x	@	inf	((- (- x 1) x) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (* x x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ (- -2 (/ 2 (* x x))) x) x) (/ (- -2 (/ 2 (* x x))) x) (- -2 (/ 2 (* x x))) (+ x 1) (/ 2 (* x x)))
1.0ms	x	@	-inf	((- (- x 1) x) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (* x x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ (- -2 (/ 2 (* x x))) x) x) (/ (- -2 (/ 2 (* x x))) x) (- -2 (/ 2 (* x x))) (+ x 1) (/ 2 (* x x)))

Time

Variable

Point

Expression

2.0ms

((- (- x 1) x) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (* x x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ (- -2 (/ 2 (* x x))) x) x) (/ (- -2 (/ 2 (* x x))) x) (- -2 (/ 2 (* x x))) (+ x 1) (/ 2 (* x x)))

2.0ms

inf

((- (- x 1) x) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (* x x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ (- -2 (/ 2 (* x x))) x) x) (/ (- -2 (/ 2 (* x x))) x) (- -2 (/ 2 (* x x))) (+ x 1) (/ 2 (* x x)))

1.0ms

-inf

((- (- x 1) x) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (* x x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ (- -2 (/ 2 (* x x))) x) x) (/ (- -2 (/ 2 (* x x))) x) (- -2 (/ 2 (* x x))) (+ x 1) (/ 2 (* x x)))

simplify317.0ms (5.2%)

Memory

-9.8MiB live, 146.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	298
1	244	291
2	848	264
3	4218	260
0	8548	250

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 34

Calls

Call 1

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

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

rewrite342.0ms (5.6%)

Memory

-10.2MiB live, 269.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	149
0	41	152
1	171	144
2	1382	144
0	8810	139

Stop Event

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

Counts

16 → 711

Calls

Call 1

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

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

eval103.0ms (1.7%)

Memory: 37.4MiB live, 189.8MiB allocated
Compiler: Compiled 27 242 to 2 929 computations (89.2% saved)

prune21.0ms (0.3%)

Memory

4.9MiB live, 79.9MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	871	6	877
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	876	9	885

Accuracy

100.0%

Counts

885 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
▶	99.1%	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
▶	47.8%	#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
▶	52.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
▶	15.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))))
	20.9%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (*.f64 (neg.f64 x) x) x)))
✓	51.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
	15.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(approx (/ (/ (- -2 (/ 2 (* x x))) x) x) (/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
✓	48.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 372 to 224 computations (39.8% saved)

simplify109.0ms (1.8%)

Memory

-26.3MiB live, 179.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	1	(-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
cost-diff	1	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
cost-diff	4	(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
cost-diff	9	(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	7	(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
cost-diff	0	#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	244
0	57	225
1	110	214
2	433	172
3	2236	155
4	5215	155
0	8219	153

Stop Event

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

Calls

Call 1

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

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

localize165.0ms (2.7%)

Memory

-10.0MiB live, 201.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.6732321643896491	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	23.67389651849554	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
accuracy	30.28105792516868	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))))
accuracy	34.34309002264392	(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.015625	(/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy	0.0625	(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	30.65062347211944	(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.0	(/.f64 #s(literal -2 binary64) x)
accuracy	0.109375	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
accuracy	30.421362553636587	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
accuracy	0.0	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	33.43503947122585	#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
accuracy	0.5912009143896491	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))

Samples

65.0ms	125×	0	valid
46.0ms	82×	1	valid
30.0ms	49×	2	valid

Compiler

Compiled 206 to 34 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-div: 64.0ms (53.5% of total)

ival-sub: 23.0ms (19.2% of total)

ival-mult: 15.0ms (12.5% of total)

adjust: 10.0ms (8.4% of total)

ival-add: 5.0ms (4.2% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series8.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

20 → 44

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- (- (- x 1) x) 1) (+ (* x x) -1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) (/ (- (/ (- x 1) (+ x 1)) 1) (- x 1)) (- (/ (- x 1) (+ x 1)) 1) (/ (- x 1) (+ x 1)) (- x 1) (* (* (neg x) x) (/ 2 (* x x))) (* (* (neg x) x) (* x x)) (/ (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (* (* (neg x) x) (* x x))) (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (+ x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 2 (* x x)))

2.0ms

-inf

((/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- (- (- x 1) x) 1) (+ (* x x) -1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) (/ (- (/ (- x 1) (+ x 1)) 1) (- x 1)) (- (/ (- x 1) (+ x 1)) 1) (/ (- x 1) (+ x 1)) (- x 1) (* (* (neg x) x) (/ 2 (* x x))) (* (* (neg x) x) (* x x)) (/ (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (* (* (neg x) x) (* x x))) (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (+ x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 2 (* x x)))

2.0ms

((/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- (- (- x 1) x) 1) (+ (* x x) -1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) (/ (- (/ (- x 1) (+ x 1)) 1) (- x 1)) (- (/ (- x 1) (+ x 1)) 1) (/ (- x 1) (+ x 1)) (- x 1) (* (* (neg x) x) (/ 2 (* x x))) (* (* (neg x) x) (* x x)) (/ (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (* (* (neg x) x) (* x x))) (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (+ x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 2 (* x x)))

simplify173.0ms (2.8%)

Memory

3.5MiB live, 194.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	379
1	265	359
2	840	348
3	3953	340
0	8138	329

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 43

Calls

Call 1

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

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

rewrite173.0ms (2.8%)

Memory

-3.1MiB live, 240.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	219
0	57	219
1	245	200
2	1999	194
0	8760	188

Stop Event

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

Counts

20 → 631

Calls

Call 1

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

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

eval111.0ms (1.8%)

Memory: 7.0MiB live, 245.1MiB allocated
Compiler: Compiled 25 696 to 2 843 computations (88.9% saved)

prune18.0ms (0.3%)

Memory

11.6MiB live, 49.0MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	755	4	759
Fresh	0	2	2
Picked	2	3	5
Done	0	2	2
Total	757	11	768

Accuracy

100.0%

Counts

768 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
✓	99.1%	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓	47.8%	#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
▶	47.9%	#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))
▶	47.8%	#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 x x (fma.f64 x x #s(literal 2 binary64))))
▶	15.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x x) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
✓	52.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
	20.9%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (*.f64 (neg.f64 x) x) x)))
✓	51.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
▶	15.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(approx (/ (/ (- -2 (/ 2 (* x x))) x) x) (/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
✓	48.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 415 to 249 computations (40% saved)

simplify78.0ms (1.3%)

Memory

-18.4MiB live, 102.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	315
0	71	311
1	137	297
2	480	246
3	2805	244
0	8396	231

Stop Event

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

Calls

Call 1

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

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

localize177.0ms (2.9%)

Memory

-5.5MiB live, 186.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.0	#s(approx (/ (/ (- -2 (/ 2 (* x x))) x) x) (/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
accuracy	23.67389651849554	(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy	30.28105792516868	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(approx (/ (/ (- -2 (/ 2 (* x x))) x) x) (/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
accuracy	0.6732321643896491	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	23.67389651849554	(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x x) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
accuracy	29.20293232700948	(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x x) (.f64 #s(literal 2 binary64) (.f64 x x)))
accuracy	30.28105792516868	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x x) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
accuracy	0.0	(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.0	(fabs.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	33.31671764300591	#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))
accuracy	0.0	(fma.f64 x x #s(literal 2 binary64))
accuracy	0.01171875	(fma.f64 x x (fma.f64 x x #s(literal 2 binary64)))
accuracy	33.43503947122585	#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 x x (fma.f64 x x #s(literal 2 binary64))))
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
accuracy	0.00390625	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) x))
accuracy	0.0625	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))

Samples

116.0ms	131×	1	valid
33.0ms	125×	0	valid

Compiler

Compiled 241 to 42 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-pow: 40.0ms (31.6% of total)

ival-div: 26.0ms (20.6% of total)

adjust: 19.0ms (15% of total)

ival-mult: 18.0ms (14.2% of total)

ival-sub: 11.0ms (8.7% of total)

ival-add: 9.0ms (7.1% of total)

ival-fabs: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series9.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

21 → 42

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

simplify141.0ms (2.3%)

Memory

-5.9MiB live, 147.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	325
1	277	317
2	920	306
3	4290	298
0	8386	282

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 41

Calls

Call 1

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

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

rewrite165.0ms (2.7%)

Memory

1.5MiB live, 161.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	277
0	71	263
1	308	241
2	2537	223
0	8563	218

Stop Event

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

Counts

21 → 623

Calls

Call 1

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

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

eval60.0ms (1%)

Memory: 3.2MiB live, 83.8MiB allocated
Compiler: Compiled 14 638 to 1 663 computations (88.6% saved)

prune14.0ms (0.2%)

Memory

-5.5MiB live, 33.6MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	439	6	445
Fresh	1	0	1
Picked	1	4	5
Done	1	4	5
Total	442	14	456

Accuracy

100.0%

Counts

456 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
	49.0%	(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (+ 1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
✓	99.1%	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
	47.8%	#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
✓	47.9%	#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))
✓	47.8%	#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 x x (fma.f64 x x #s(literal 2 binary64))))
	2.8%	#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) #s(approx (+ (* (fabs (* 2 x)) x) 2) (.f64 (.f64 (fabs.f64 x) x) #s(literal 2 binary64))))
	53.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))))
✓	15.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x x) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
	20.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
✓	52.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓	51.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
	14.9%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(approx (/ (/ (- -2 (/ 2 (* x x))) x) x) (/.f64 #s(approx (- (* (* -2 x) x) 2) (.f64 (.f64 x x) #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
✓	48.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 866 to 318 computations (63.3% saved)

regimes13.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

25 → 1

Calls

Call 1

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

Outputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))

Calls

2 calls:

7.0ms	x
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) #s(approx (+ (* (fabs (* 2 x)) x) 2) (.f64 (.f64 (fabs.f64 x) x) #s(literal 2 binary64))))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 x x (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (+ 1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))

Outputs
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))

Calls

2 calls:

4.0ms	x
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-28.3MiB live, 10.3MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) #s(approx (+ (* (fabs (* 2 x)) x) 2) (.f64 (.f64 (fabs.f64 x) x) #s(literal 2 binary64))))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 x x (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (+ 1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.1%	3	`x`
98.1%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) #s(approx (+ (* (fabs (* 2 x)) x) 2) (.f64 (.f64 (fabs.f64 x) x) #s(literal 2 binary64))))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 x x (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (+ 1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))

Outputs
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (+ 1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Accuracy

Total -29.2b remaining (-87.8%)

Threshold costs -29.2b (-87.8%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) #s(approx (+ (* (fabs (* 2 x)) x) 2) (.f64 (.f64 (fabs.f64 x) x) #s(literal 2 binary64))))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 x x (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))

Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
48.1%	1	`x`
48.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify42.0ms (0.7%)

Memory

-6.6MiB live, 35.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	114
1	60	114
2	107	92
3	213	86
4	434	86
5	1308	86

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (+ 1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Outputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (+ 1 x)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

soundness1.1s (18.4%)

Memory

15.8MiB live, 748.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	307
1	232	287
2	686	276
3	2828	273
0	8280	266
0	37	219
0	57	219
1	245	200
2	1999	194
0	8760	188
0	83	325
1	277	317
2	920	306
3	4290	298
0	8386	282
0	7	24
0	12	24
1	58	24
2	490	24
3	6775	24
0	8604	22
0	74	298
1	244	291
2	848	264
3	4218	260
0	8548	250
0	47	277
0	71	263
1	308	241
2	2537	223
0	8563	218

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

Compiler

Compiled 347 to 170 computations (51% saved)

preprocess41.0ms (0.7%)

Memory: 25.7MiB live, 67.9MiB allocated
Compiler: Compiled 242 to 90 computations (62.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample1.2s (20.2%)

explain166.0ms (2.7%)

preprocess12.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize37.0ms (0.6%)

series2.0ms (0%)

simplify212.0ms (3.5%)

rewrite405.0ms (6.7%)

eval231.0ms (3.8%)

prune79.0ms (1.3%)

simplify143.0ms (2.4%)

localize121.0ms (2%)

series7.0ms (0.1%)

simplify317.0ms (5.2%)

rewrite342.0ms (5.6%)

eval103.0ms (1.7%)

prune21.0ms (0.3%)

simplify109.0ms (1.8%)

localize165.0ms (2.7%)

series8.0ms (0.1%)

simplify173.0ms (2.8%)

rewrite173.0ms (2.8%)

eval111.0ms (1.8%)

prune18.0ms (0.3%)

simplify78.0ms (1.3%)

localize177.0ms (2.9%)

series9.0ms (0.1%)

simplify141.0ms (2.3%)

rewrite165.0ms (2.7%)

eval60.0ms (1%)

prune14.0ms (0.2%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify42.0ms (0.7%)

soundness1.1s (18.4%)

preprocess41.0ms (0.7%)

end0.0ms (0%)

Profiling