Metrics for Asymptote B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB 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)

sample946.0ms (23.3%)

Memory

-290.1MiB live, 1 267.3MiB allocated

Samples

683.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 531.0ms

ival-sub: 327.0ms (61.6% of total)

ival-div: 114.0ms (21.5% of total)

ival-add: 76.0ms (14.3% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain88.0ms (2.2%)

Memory

15.0MiB live, 190.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 73 to 25 computations (65.8% saved)

Precisions

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

ival-div: 7.0ms (45.2% of total)

ival-add: 5.0ms (32.3% of total)

ival-sub: 3.0ms (19.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess20.0ms (0.5%)

Memory

-17.4MiB live, 22.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	25	24
2	63	22
3	136	22
4	258	22
5	445	22
6	478	22
7	492	22
8	505	22
0	7	11
0	12	11
1	19	11
2	20	11
0	20	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 x (+.f64 x #s(literal 1 binary64))))

Outputs

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

(+.f64 (/.f64 x (+.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: 0.1MiB live, 0.1MiB 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
▶	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	29
0	12	29
1	19	29
2	20	29
0	20	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 x (+.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 x (+.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 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 x (+.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 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))

localize21.0ms (0.5%)

Memory

6.3MiB live, 45.3MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

15.0ms

256×

valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (35.1% of total)

ival-add: 3.0ms (35.1% of total)

ival-sub: 2.0ms (23.4% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

5 → 31

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify128.0ms (3.1%)

Memory

-13.7MiB live, 142.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	284
1	211	282
2	472	271
3	1245	251
4	3312	245
5	6616	243
6	7974	243
0	8027	235

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 30

Calls

Call 1

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

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

rewrite162.0ms (4%)

Memory

32.1MiB live, 222.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
0	12	27
1	66	27
2	701	27
0	9650	27

Stop Event

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

Counts

5 → 561

Calls

Call 1

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

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

eval92.0ms (2.3%)

Memory: -4.9MiB live, 112.7MiB allocated
Compiler: Compiled 14 178 to 1 738 computations (87.7% saved)

prune12.0ms (0.3%)

Memory

-8.0MiB live, 29.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	579	5	584
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	580	5	585

Accuracy

100.0%

Counts

585 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.1%	(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	78.6%	(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
▶	50.0%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
▶	50.8%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
▶	50.2%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))

Compiler

Compiled 158 to 104 computations (34.2% saved)

simplify301.0ms (7.4%)

Memory

8.7MiB live, 216.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	168
0	43	171
1	73	171
2	143	164
3	379	156
4	963	149
5	3753	149
6	7196	149
0	8402	143

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

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

localize64.0ms (1.6%)

Memory

-2.6MiB live, 72.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0	(-.f64 x #s(literal -1 binary64))
accuracy	0.0078125	(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64)))
accuracy	13.562654058846219	(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.0	(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.3321189676593015	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	31.48356511851942	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	32.00611560819506	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
accuracy	31.875079274770854	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
accuracy	0.0	(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
accuracy	0.00390625	(/.f64 (-.f64 x #s(literal -1 binary64)) x)
accuracy	0.16796875	(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
accuracy	13.103783847033684	(/.f64 x (fma.f64 x x #s(literal -1 binary64)))

Samples

45.0ms

256×

valid

Compiler

Compiled 161 to 27 computations (83.2% saved)

Precisions

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

ival-div: 13.0ms (41.7% of total)

ival-add: 7.0ms (22.4% of total)

ival-mult: 6.0ms (19.2% of total)

ival-sub: 4.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

16 → 38

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

simplify155.0ms (3.8%)

Memory

-9.0MiB live, 108.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	318
1	225	318
2	544	302
3	1621	284
4	4376	283
0	8366	272

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

Calls

Call 1

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

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

rewrite287.0ms (7.1%)

Memory

15.5MiB live, 338.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	141
0	43	144
1	217	144
2	2171	134
0	8744	132

Stop Event

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

Counts

16 → 1 270

Calls

Call 1

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

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

eval150.0ms (3.7%)

Memory: -22.4MiB live, 285.4MiB allocated
Compiler: Compiled 30 947 to 3 824 computations (87.6% saved)

prune17.0ms (0.4%)

Memory

25.4MiB live, 64.8MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 168	2	1 170
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 170	5	1 175

Accuracy

100.0%

Counts

1 175 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.1%	(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓	50.0%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
✓	50.8%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
▶	2.7%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓	50.2%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))

Compiler

Compiled 94 to 63 computations (33% saved)

simplify168.0ms (4.1%)

Memory

6.3MiB live, 126.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	92
0	28	92
1	46	92
2	72	88
3	143	82
4	247	82
5	918	82
6	3082	82
7	4892	82
8	6557	82
9	7946	82
0	8078	82

Stop Event

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

Calls

Call 1

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

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

localize42.0ms (1%)

Memory

-12.0MiB live, 63.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0	#s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))
accuracy	13.562654058846219	(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.3321189676593015	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	30.931491034668177	#s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
accuracy	31.48356511851942	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))

Samples

32.0ms

256×

valid

Compiler

Compiled 67 to 20 computations (70.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 6.0ms (25.4% of total)

ival-div: 6.0ms (25.4% of total)

ival-add: 6.0ms (25.4% of total)

ival-mult: 4.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

8 → 15

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify168.0ms (4.1%)

Memory

-11.5MiB live, 150.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	117
1	79	117
2	168	117
3	393	113
4	850	111
5	1398	111
6	2972	111
7	5629	111
8	7842	111
0	8093	99

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite149.0ms (3.7%)

Memory

7.0MiB live, 162.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	87
0	28	87
1	156	87
2	1547	87
0	8105	83

Stop Event

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

Counts

8 → 280

Calls

Call 1

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

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

eval45.0ms (1.1%)

Memory: -20.1MiB live, 65.5MiB allocated
Compiler: Compiled 8 862 to 962 computations (89.1% saved)

prune7.0ms (0.2%)

Memory

17.3MiB live, 17.3MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	291	0	291
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	291	5	296

Accuracy

100.0%

Counts

296 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.1%	(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓	50.0%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
✓	50.8%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
✓	2.7%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓	50.2%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))

Compiler

Compiled 228 to 108 computations (52.6% saved)

regimes6.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	2	`(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0.1%)

Memory

-32.5MiB live, 6.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

2 calls:

3.0ms	x
1.0ms	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
50.2%	1	`x`
51.8%	2	`(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Accuracy

Total -0.2b remaining (-0.7%)

Threshold costs -0.2b (-0.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
50.2%	1	`x`
50.2%	1	`(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	1.0

Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	1.0

Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	1.0

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify52.0ms (1.3%)

Memory

5.0MiB live, 43.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	184
1	56	184
2	77	184
3	155	180
4	317	180
5	1401	180
6	3109	180
7	5484	180

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness920.0ms (22.6%)

Memory

-12.0MiB live, 431.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
0	12	27
1	66	27
2	701	27
0	9650	27
0	91	318
1	225	318
2	544	302
3	1621	284
4	4376	283
0	8366	272
0	83	284
1	211	282
2	472	271
3	1245	251
4	3312	245
5	6616	243
6	7974	243
0	8027	235

Stop Event

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

Compiler

Compiled 251 to 90 computations (64.1% saved)

preprocess29.0ms (0.7%)

Memory: 29.5MiB live, 29.5MiB allocated
Compiler: Compiled 390 to 96 computations (75.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	29
1	25	24
2	63	22
3	136	22
4	258	22
5	445	22
6	478	22
7	492	22
8	505	22
0	7	11
0	12	11
1	19	11
2	20	11
0	20	11

Iter	Nodes	Cost
0	9	29
1	25	24
2	63	22
3	136	22
4	258	22
5	445	22
6	478	22
7	492	22
8	505	22
0	7	11
0	12	11
1	19	11
2	20	11
0	20	11

start0.0ms (0%)

analyze2.0ms (0.1%)

sample946.0ms (23.3%)

explain88.0ms (2.2%)

preprocess20.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize21.0ms (0.5%)

series2.0ms (0.1%)

simplify128.0ms (3.1%)

rewrite162.0ms (4%)

eval92.0ms (2.3%)

prune12.0ms (0.3%)

simplify301.0ms (7.4%)

localize64.0ms (1.6%)

series6.0ms (0.2%)

simplify155.0ms (3.8%)

rewrite287.0ms (7.1%)

eval150.0ms (3.7%)

prune17.0ms (0.4%)

simplify168.0ms (4.1%)

localize42.0ms (1%)

series3.0ms (0.1%)

simplify168.0ms (4.1%)

rewrite149.0ms (3.7%)

eval45.0ms (1.1%)

prune7.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify52.0ms (1.3%)

soundness920.0ms (22.6%)

preprocess29.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	29
1	25	24
2	63	22
3	136	22
4	258	22
5	445	22
6	478	22
7	492	22
8	505	22
0	7	11
0	12	11
1	19	11
2	20	11
0	20	11