Metrics for Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample659.0ms (14.9%)

Memory

10.1MiB live, 764.0MiB allocated

Samples

454.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-div: 161.0ms (65.4% of total)

ival-sub: 72.0ms (29.2% of total)

ival-true: 5.0ms (2% of total)

exact: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain110.0ms (2.5%)

Memory

4.7MiB live, 81.7MiB allocated

FPErrors

Click to see full error table

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

37.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 3.0ms (41.6% of total)

ival-div: 3.0ms (41.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess24.0ms (0.5%)

Memory

-12.6MiB live, 26.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	196	10
5	285	10
6	296	10
7	310	10
8	323	10
0	4	5
0	6	5
1	10	5
2	14	5
3	19	5
4	26	5
5	36	5
6	51	5
7	74	5
8	96	5
9	104	5
10	106	5
0	106	5

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	14	10
3	19	10
4	26	10
5	36	10
6	51	10
7	74	10
8	96	10
9	104	10
10	106	10
0	106	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize12.0ms (0.3%)

Memory

9.8MiB live, 9.8MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-div: 2.0ms (58.5% of total)

ival-sub: 1.0ms (29.3% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

2 → 14

Calls

Call 1

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

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

Calls

3 calls:

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

simplify164.0ms (3.7%)

Memory

-10.9MiB live, 41.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	92
1	93	85
2	220	79
3	554	77
4	1071	77
5	1985	77
6	3580	77
7	4781	77
8	4898	77
9	4898	77
10	5060	77
11	5135	77
12	5135	77
0	5135	74

Stop Event

1×	iter limit
1×	saturated

Counts

14 → 13

Calls

Call 1

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

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

rewrite224.0ms (5%)

Memory

4.4MiB live, 80.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	29	8
2	183	8
3	1611	8
0	9270	8

Stop Event

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

Counts

2 → 419

Calls

Call 1

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

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

eval137.0ms (3.1%)

Memory: 15.7MiB live, 53.4MiB allocated
Compiler: Compiled 10 119 to 1 282 computations (87.3% saved)

prune197.0ms (4.4%)

Memory

-4.0MiB live, 37.2MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	425	4	429
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	425	5	430

Accuracy

100.0%

Counts

430 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.0%	(/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
▶	51.8%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
▶	51.0%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
▶	49.8%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 46 to 30 computations (34.8% saved)

simplify143.0ms (3.2%)

Memory

-9.8MiB live, 182.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	78
0	21	78
1	39	78
2	86	78
3	213	72
4	502	72
5	1772	72
6	6206	72
0	8285	71

Stop Event

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

Calls

Call 1

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

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

localize35.0ms (0.8%)

Memory

-10.2MiB live, 65.9MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(neg.f64 (fma.f64 x x x))
accuracy	17.159760768574596	(/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
accuracy	0.0	(fma.f64 x x x)
accuracy	0.01953125	(fma.f64 (fma.f64 x x x) x x)
accuracy	30.824374885004048	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
accuracy	0.0	(fma.f64 x x x)
accuracy	31.375346737044044	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
accuracy	32.10858660456337	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Samples

23.0ms

256×

valid

Compiler

Compiled 72 to 14 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 3.0ms (24% of total)

ival-add: 3.0ms (24% of total)

ival-mult: 3.0ms (24% of total)

ival-sub: 1.0ms (8% of total)

ival-neg: 1.0ms (8% 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

6.3MiB live, 6.3MiB allocated

Counts

9 → 21

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify123.0ms (2.8%)

Memory

-2.2MiB live, 154.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	143
1	129	139
2	368	129
3	1152	127
4	3149	127
5	6415	127
0	8140	114

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 20

Calls

Call 1

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

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

rewrite288.0ms (6.5%)

Memory

-10.4MiB live, 238.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
0	21	65
1	96	59
2	702	59
0	8363	58

Stop Event

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

Counts

9 → 793

Calls

Call 1

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

Outputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (fma.f64 (fma.f64 x x x) x x)))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) x) (-.f64 (.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x x))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
(.f64 (.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x x)))
(.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) x) x)
(.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x x x) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))))
(.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 x x x) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))))
(.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(.f64 (fma.f64 x x x) (.f64 (fma.f64 x x (neg.f64 x)) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x (neg.f64 x)) (fma.f64 x x (neg.f64 x))))
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(.f64 x (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (neg.f64 x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (neg.f64 x)))) (.f64 (.f64 x (/.f64 x (fma.f64 x x (neg.f64 x)))) (.f64 x (/.f64 x (fma.f64 x x (neg.f64 x)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (neg.f64 x))) (*.f64 x (/.f64 x (fma.f64 x x (neg.f64 x))))))
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(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) x #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x x)) #s(literal 0 binary64))
(fma.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 x x x) (neg.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) x (neg.f64 x))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (neg.f64 x))
(fma.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x (neg.f64 x)) (fma.f64 (neg.f64 x) x x)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64))
(fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 x (neg.f64 x) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(-.f64 (fma.f64 (neg.f64 x) x #s(literal 0 binary64)) x)
(-.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x x)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x x)) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 x x x)))
(-.f64 (*.f64 (neg.f64 x) x) x)
(-.f64 (neg.f64 x) (*.f64 x x))
(-.f64 #s(literal 0 binary64) (fma.f64 x x x))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (neg.f64 x)))) (*.f64 x (/.f64 x (fma.f64 x x (neg.f64 x)))))
(+.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x)))
(+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 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))
(neg.f64 (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval141.0ms (3.2%)

Memory: 16.2MiB live, 241.4MiB allocated
Compiler: Compiled 25 237 to 2 653 computations (89.5% saved)

prune18.0ms (0.4%)

Memory

11.9MiB live, 63.1MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 109	2	1 111
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	1 110	6	1 116

Accuracy

100.0%

Counts

1 116 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.0%	(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	51.8%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	51.0%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
▶	51.0%	#s(approx (/ x (- 1 x)) (+.f64 (*.f64 x x) x))
✓	49.8%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 56 to 36 computations (35.7% saved)

simplify195.0ms (4.4%)

Memory

-14.9MiB live, 161.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	10	42
0	15	42
1	26	42
2	38	42
3	57	42
4	83	42
5	153	42
6	399	37
7	1491	37
8	3485	37
9	6947	37
0	8053	37

Stop Event

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

Calls

Call 1

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

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

localize31.0ms (0.7%)

Memory

-5.5MiB live, 33.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x x)
accuracy	0.0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	17.159760768574596	(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(+.f64 (*.f64 x x) x)
accuracy	31.375346737044044	#s(approx (/ x (- 1 x)) (+.f64 (*.f64 x x) x))

Samples

24.0ms

256×

valid

Compiler

Compiled 42 to 10 computations (76.2% saved)

Precisions

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

ival-sub: 3.0ms (33.6% of total)

ival-div: 3.0ms (33.6% of total)

ival-mult: 2.0ms (22.4% of total)

ival-add: 1.0ms (11.2% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

6 → 15

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify152.0ms (3.4%)

Memory

-3.4MiB live, 145.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	102
1	92	96
2	217	90
3	528	88
4	1394	88
5	4480	88
6	7975	88
0	8025	82

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

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

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

rewrite159.0ms (3.6%)

Memory

12.7MiB live, 170.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
0	15	36
1	70	31
2	508	31
3	5850	31
0	9613	30

Stop Event

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

Counts

6 → 725

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x x) x))
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 x x x) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) x) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 x x x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 x x x) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 x x x) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))
(.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x x) (fma.f64 x x x)))
(*.f64 (fma.f64 x x x) #s(literal -1 binary64))
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x x) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 18 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 4 binary64))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 18 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x (neg.f64 x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 1 binary64))

eval65.0ms (1.5%)

Memory: -4.0MiB live, 113.4MiB allocated
Compiler: Compiled 11 295 to 1 382 computations (87.8% saved)

prune13.0ms (0.3%)

Memory

-10.2MiB live, 29.0MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	604	1	605
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	604	7	611

Accuracy

100.0%

Counts

611 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.0%	(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	51.8%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	51.0%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	51.0%	#s(approx (/ x (- 1 x)) (+.f64 (*.f64 x x) x))
▶	4.0%	#s(approx (/ x (- 1 x)) (neg.f64 (fma.f64 x x x)))
✓	49.8%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 67 to 43 computations (35.8% saved)

simplify17.0ms (0.4%)

Memory

18.9MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	10	21
1	22	21
2	46	21
3	91	21
4	149	21
5	225	21
6	317	21
7	476	21
8	510	21
9	524	21
10	534	21
11	536	21
0	536	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) (neg.f64 (fma.f64 x x x)))
(neg.f64 (fma.f64 x x x))
(fma.f64 x x x)
x

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

localize20.0ms (0.5%)

Memory

-6.8MiB live, 31.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x x)
accuracy	0.0	(neg.f64 (fma.f64 x x x))
accuracy	61.43837456282493	#s(approx (/ x (- 1 x)) (neg.f64 (fma.f64 x x x)))

Samples

14.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (26.7% of total)

ival-mult: 2.0ms (26.7% of total)

ival-sub: 1.0ms (13.4% of total)

ival-add: 1.0ms (13.4% of total)

ival-neg: 1.0ms (13.4% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.7MiB live, 1.8MiB allocated

Counts

3 → 15

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) (neg.f64 (fma.f64 x x x)))
(neg.f64 (fma.f64 x x x))
(fma.f64 x x x)

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

Calls

3 calls:

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

simplify286.0ms (6.4%)

Memory

-14.0MiB live, 268.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	103
1	97	99
2	241	91
3	594	89
4	1670	89
5	4368	89
6	7385	89
0	8576	83

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

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

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

rewrite212.0ms (4.8%)

Memory

39.2MiB live, 155.7MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	10	19
1	52	19
2	361	19
3	3493	18
0	10077	18

Stop Event

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

Counts

3 → 535

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) (neg.f64 (fma.f64 x x x)))
(neg.f64 (fma.f64 x x x))
(fma.f64 x x x)

Outputs
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x x) (pow.f64 (fma.f64 x x x) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))))
(*.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x x))
(*.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (fma.f64 x x x) x) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 x x x) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x x) x))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(*.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x x) (fma.f64 x x x)))
(.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x x) #s(literal -1 binary64))
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 x x x))
(*.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 x x x) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 x x x) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 x (-.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(*.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x x) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 x x x))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -3 binary64))) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (.f64 (fma.f64 x x x) (*.f64 x x)))) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x)) (fma.f64 x x x))
(/.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 x x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -3 binary64))) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (*.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (*.f64 (fma.f64 x x x) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64)))) (neg.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64)))) (neg.f64 (*.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))))))
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(fma.f64 #s(literal 1 binary64) (fma.f64 x x x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x x))
(fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x (neg.f64 x) (neg.f64 x))
(fma.f64 x (neg.f64 x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x x (neg.f64 x))
(fma.f64 x x x)
(-.f64 (fma.f64 x x #s(literal 0 binary64)) x)
(-.f64 (fma.f64 (neg.f64 x) x #s(literal 0 binary64)) x)
(-.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) (*.f64 x x))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x))) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x x)) (fma.f64 x x x))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x x))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(-.f64 (*.f64 (neg.f64 x) x) x)
(-.f64 (neg.f64 x) (*.f64 x x))
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (neg.f64 x) x)))
(-.f64 #s(literal 0 binary64) (fma.f64 x x x))
(-.f64 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x))) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal 0 binary64)) x)
(+.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 x x))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(+.f64 (*.f64 (neg.f64 x) x) x)
(+.f64 (fma.f64 x x x) #s(literal 0 binary64))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(+.f64 (neg.f64 x) (*.f64 x x))
(+.f64 #s(literal 0 binary64) (fma.f64 x x x))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 (neg.f64 x) x))
(+.f64 x (*.f64 x x))

eval30.0ms (0.7%)

Memory: -18.0MiB live, 57.0MiB allocated
Compiler: Compiled 5 677 to 772 computations (86.4% saved)

prune7.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	277	2	279
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	277	9	286

Accuracy

100.0%

Counts

286 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.0%	(/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	51.8%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	51.0%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	51.0%	#s(approx (/ x (- 1 x)) (+.f64 (*.f64 x x) x))
✓	4.0%	#s(approx (/ x (- 1 x)) (neg.f64 (fma.f64 x x x)))
	5.1%	#s(approx (/ x (- 1 x)) (neg.f64 #s(approx (+ (* x x) x) (*.f64 x x))))
	3.5%	#s(approx (/ x (- 1 x)) #s(approx (neg (+ (* x x) x)) (neg.f64 x)))
✓	49.8%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 207 to 94 computations (54.6% saved)

regimes38.0ms (0.9%)

Memory

-25.3MiB live, 12.8MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	x
3.0ms	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes6.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.5%	3	`x`
98.5%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Accuracy

Total -30.1b remaining (-93.6%)

Threshold costs -30.1b (-93.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.8%	1	`x`
49.8%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999959	-0.1165276198964164

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999959	-0.1165276198964164

Compiler

Compiled 8 to 8 computations (0% saved)

simplify92.0ms (2.1%)

Memory

-10.9MiB live, 68.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	22	65
2	28	65
3	35	65
4	46	65
5	60	65
6	114	65
7	247	65
8	3908	65
9	6151	65

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness794.0ms (17.9%)

Memory

-5.8MiB live, 150.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	92
1	93	85
2	220	79
3	554	77
4	1071	77
5	1985	77
6	3580	77
7	4781	77
8	4898	77
9	4898	77
10	5060	77
11	5135	77
12	5135	77
0	5135	74

Stop Event

1×	fuel
1×	iter limit
1×	saturated

Compiler

Compiled 79 to 28 computations (64.6% saved)

preprocess26.0ms (0.6%)

Memory: 29.3MiB live, 68.1MiB allocated
Compiler: Compiled 140 to 42 computations (70% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	196	10
5	285	10
6	296	10
7	310	10
8	323	10
0	4	5
0	6	5
1	10	5
2	14	5
3	19	5
4	26	5
5	36	5
6	51	5
7	74	5
8	96	5
9	104	5
10	106	5
0	106	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	14	10
3	19	10
4	26	10
5	36	10
6	51	10
7	74	10
8	96	10
9	104	10
10	106	10
0	106	10

Iter	Nodes	Cost
0	7	21
0	10	21
1	22	21
2	46	21
3	91	21
4	149	21
5	225	21
6	317	21
7	476	21
8	510	21
9	524	21
10	534	21
11	536	21
0	536	21

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	196	10
5	285	10
6	296	10
7	310	10
8	323	10
0	4	5
0	6	5
1	10	5
2	14	5
3	19	5
4	26	5
5	36	5
6	51	5
7	74	5
8	96	5
9	104	5
10	106	5
0	106	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	14	10
3	19	10
4	26	10
5	36	10
6	51	10
7	74	10
8	96	10
9	104	10
10	106	10
0	106	10

Iter	Nodes	Cost
0	7	21
0	10	21
1	22	21
2	46	21
3	91	21
4	149	21
5	225	21
6	317	21
7	476	21
8	510	21
9	524	21
10	534	21
11	536	21
0	536	21

start0.0ms (0%)

analyze1.0ms (0%)

sample659.0ms (14.9%)

explain110.0ms (2.5%)

preprocess24.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize12.0ms (0.3%)

series1.0ms (0%)

simplify164.0ms (3.7%)

rewrite224.0ms (5%)

eval137.0ms (3.1%)

prune197.0ms (4.4%)

simplify143.0ms (3.2%)

localize35.0ms (0.8%)

series3.0ms (0.1%)

simplify123.0ms (2.8%)

rewrite288.0ms (6.5%)

eval141.0ms (3.2%)

prune18.0ms (0.4%)

simplify195.0ms (4.4%)

localize31.0ms (0.7%)

series2.0ms (0%)

simplify152.0ms (3.4%)

rewrite159.0ms (3.6%)

eval65.0ms (1.5%)

prune13.0ms (0.3%)

simplify17.0ms (0.4%)

localize20.0ms (0.5%)

series1.0ms (0%)

simplify286.0ms (6.4%)

rewrite212.0ms (4.8%)

eval30.0ms (0.7%)

prune7.0ms (0.2%)

regimes38.0ms (0.9%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify92.0ms (2.1%)

soundness794.0ms (17.9%)

preprocess26.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	196	10
5	285	10
6	296	10
7	310	10
8	323	10
0	4	5
0	6	5
1	10	5
2	14	5
3	19	5
4	26	5
5	36	5
6	51	5
7	74	5
8	96	5
9	104	5
10	106	5
0	106	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	14	10
3	19	10
4	26	10
5	36	10
6	51	10
7	74	10
8	96	10
9	104	10
10	106	10
0	106	10

Iter	Nodes	Cost
0	7	21
0	10	21
1	22	21
2	46	21
3	91	21
4	149	21
5	225	21
6	317	21
7	476	21
8	510	21
9	524	21
10	534	21
11	536	21
0	536	21