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

1.1MiB live, 1.1MiB 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)

sample841.0ms (16.4%)

Memory

7.1MiB live, 601.6MiB allocated

Samples

469.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

ival-div: 165.0ms (72.1% of total)

ival-sub: 50.0ms (21.9% of total)

ival-true: 6.0ms (2.6% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain115.0ms (2.2%)

Memory

-14.0MiB live, 64.6MiB 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

17.0ms

512×

valid

Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (52% of total)

ival-sub: 3.0ms (39% of total)

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

exact: 0.0ms (0% of total)

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

preprocess32.0ms (0.6%)

Memory

-18.4MiB live, 25.8MiB 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	195	10
5	284	10
6	295	10
7	309	10
8	322	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB 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)

localize17.0ms (0.3%)

Memory

-9.1MiB live, 27.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0078125	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Samples

9.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 2.0ms (52.7% of total)

ival-div: 2.0ms (52.7% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.3MiB live, 2.3MiB 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))

simplify147.0ms (2.9%)

Memory

20.9MiB live, 96.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	92
1	93	85
2	220	79
3	545	77
4	1047	77
5	1955	77
6	3384	77
7	4540	77
8	4656	77
9	4656	77
10	4818	77
11	4893	77
12	4893	77
0	4893	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)

rewrite160.0ms (3.1%)

Memory

1.8MiB live, 158.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	29	8
2	183	8
3	1612	8
0	9347	8

Stop Event

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

Counts

2 → 425

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) (fma.f64 (-.f64 #s(literal 1 binary64) 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) (fma.f64 (-.f64 #s(literal 1 binary64) 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 (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 #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 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 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.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 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(-.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 0 binary64) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval89.0ms (1.7%)

Memory: -3.8MiB live, 82.5MiB allocated
Compiler: Compiled 10 185 to 1 292 computations (87.3% saved)

prune10.0ms (0.2%)

Memory

-11.3MiB live, 27.3MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	430	5	435
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	430	6	436

Accuracy

100.0%

Counts

436 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.2%	(/.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))
▶	73.0%	(.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x))
▶	47.4%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
▶	46.5%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
▶	54.5%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 109 to 70 computations (35.8% saved)

simplify258.0ms (5%)

Memory

1.3MiB live, 195.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 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	128	(+.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff	704	(/.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))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))
cost-diff	128	(+.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff	704	(.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	109
0	27	109
1	49	109
2	107	109
3	258	97
4	589	97
5	1840	97
6	6700	97
0	8155	94

Stop Event

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

Calls

Call 1

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

localize70.0ms (1.4%)

Memory

-8.8MiB live, 74.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 (fma.f64 x x x))
accuracy	17.658134023554158	(/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
accuracy	0	(fma.f64 x x x)
accuracy	0.03125	(fma.f64 (fma.f64 x x x) x x)
accuracy	33.63867436237401	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
accuracy	0	(fma.f64 x x x)
accuracy	34.22150895961341	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
accuracy	29.109937725110523	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
accuracy	0	(+.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.09375	(.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x))
accuracy	16.586681655926707	(/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))

Samples

28.0ms

256×

valid

Compiler

Compiled 212 to 34 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 5.0ms (28.7% of total)

ival-mult: 5.0ms (28.7% of total)

ival-add: 3.0ms (17.2% of total)

ival-sub: 2.0ms (11.5% of total)

ival-neg: 1.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

11 → 30

Calls

Call 1

Inputs
(.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 x x)
#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)))
(neg.f64 (fma.f64 x 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 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))
(pow x 2)
(* x (- (* -1 x) 1))
(* -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 (pow x 2))))
(/ 1 x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)
(* (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)))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))
(* -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)) (+ -1 (* x x)) (/ x (+ -1 (* x x))) (* x x) (/ x (- 1 x)) (/ x (- 1 x)) (+ (* x x) x) (/ x (- 1 x)) (+ (* (+ (* x x) x) x) x) (/ (neg (+ (* x x) x)) (+ -1 (* x x))) (neg (+ (* x x) x)))
1.0ms	x	@	-inf	((* (/ x (+ -1 (* x x))) (- -1 x)) (+ -1 (* x x)) (/ x (+ -1 (* x x))) (* x x) (/ x (- 1 x)) (/ x (- 1 x)) (+ (* x x) x) (/ x (- 1 x)) (+ (* (+ (* x x) x) x) x) (/ (neg (+ (* x x) x)) (+ -1 (* x x))) (neg (+ (* x x) x)))
1.0ms	x	@	0	((* (/ x (+ -1 (* x x))) (- -1 x)) (+ -1 (* x x)) (/ x (+ -1 (* x x))) (* x x) (/ x (- 1 x)) (/ x (- 1 x)) (+ (* x x) x) (/ x (- 1 x)) (+ (* (+ (* x x) x) x) x) (/ (neg (+ (* x x) x)) (+ -1 (* x x))) (neg (+ (* x x) x)))

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify159.0ms (3.1%)

Memory

-5.6MiB live, 121.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	273
1	203	264
2	556	247
3	1760	237
4	4685	236
0	8199	225

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 29

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

rewrite183.0ms (3.6%)

Memory

26.4MiB live, 223.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	83
0	27	83
1	117	71
2	896	71
0	8936	69

Stop Event

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

Counts

11 → 1 045

Calls

Call 1

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

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

eval135.0ms (2.6%)

Memory: -8.9MiB live, 184.6MiB allocated
Compiler: Compiled 20 141 to 2 412 computations (88% saved)

prune35.0ms (0.7%)

Memory

11.2MiB live, 48.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	991	2	993
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	993	6	999

Accuracy

100.0%

Counts

999 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.2%	(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (fma.f64 x x #s(literal -1 binary64)))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	47.4%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	46.5%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
▶	46.5%	#s(approx (/ x (- 1 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) x))
✓	54.5%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 56 to 37 computations (33.9% saved)

simplify318.0ms (6.2%)

Memory

-5.3MiB live, 114.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(-.f64 #s(literal -1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal -1 binary64) x) x)
cost-diff	704	(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ x (- 1 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) x))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	19	45
1	33	45
2	63	45
3	125	45
4	306	40
5	1041	40
6	3076	40
7	7526	40
0	8058	38

Stop Event

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

Calls

Call 1

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

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

localize259.0ms (5%)

Memory

9.7MiB live, 46.7MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal -1 binary64) x) x)
accuracy	17.658134023554158	(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(*.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy	34.22150895961341	#s(approx (/ x (- 1 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) x))

Samples

250.0ms

256×

valid

Compiler

Compiled 88 to 27 computations (69.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-mult: 234.0ms (96.2% of total)

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

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

ival-add: 2.0ms (0.8% 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

6.0MiB live, 6.0MiB allocated

Counts

7 → 22

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify199.0ms (3.9%)

Memory

-33.4MiB live, 227.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	128
1	114	124
2	288	114
3	835	112
4	3251	112
5	5822	112
0	8043	104

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

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

rewrite226.0ms (4.4%)

Memory

12.8MiB live, 207.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
0	19	41
1	83	41
2	603	36
0	8398	34

Stop Event

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

Counts

7 → 961

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64) x))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x (neg.f64 x)) (-.f64 (fma.f64 x x (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.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)))) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))
(*.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 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(.f64 (.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) x x))
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) x) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 #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 (.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) x) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (-.f64 x #s(literal -1 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) x) (-.f64 x #s(literal 1 binary64)))
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eval169.0ms (3.3%)

Memory: 9.6MiB live, 167.1MiB allocated
Compiler: Compiled 21 071 to 2 696 computations (87.2% saved)

prune49.0ms (0.9%)

Memory

10.5MiB live, 46.0MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	975	1	976
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	975	7	982

Accuracy

100.0%

Counts

982 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.2%	(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (fma.f64 x x #s(literal -1 binary64)))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	47.4%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	46.5%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	46.5%	#s(approx (/ x (- 1 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) x))
▶	47.2%	#s(approx (/ x (- 1 x)) (*.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x))
✓	54.5%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 69 to 46 computations (33.3% saved)

simplify53.0ms (1%)

Memory

-17.3MiB live, 37.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	9	27
1	15	27
2	19	27
3	24	27
4	31	27
5	41	27
6	56	27
7	86	27
8	111	27
9	119	27
10	121	27
0	121	27

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (0.8%)

Memory

1.8MiB live, 39.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)
accuracy	33.81928822588944	#s(approx (+ 1 x) #s(literal 1 binary64))
accuracy	34.22150895961341	#s(approx (/ x (- 1 x)) (*.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x))

Samples

38.0ms

256×

valid

Compiler

Compiled 44 to 17 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (30.8% of total)

ival-mult: 2.0ms (30.8% of total)

ival-sub: 1.0ms (15.4% of total)

ival-add: 1.0ms (15.4% 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

1.8MiB live, 1.8MiB allocated

Counts

3 → 14

Calls

Call 1

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

Outputs
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
1
(+ 1 x)
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (+ 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)) (* (+ 1 x) x) (+ 1 x))
0.0ms	x	@	inf	((/ x (- 1 x)) (* (+ 1 x) x) (+ 1 x))
0.0ms	x	@	0	((/ x (- 1 x)) (* (+ 1 x) x) (+ 1 x))

simplify168.0ms (3.3%)

Memory

11.0MiB live, 163.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	92
1	89	88
2	197	82
3	620	80
4	2726	80
5	5294	80
0	8123	74

Stop Event

1×	iter limit
1×	node limit

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

rewrite123.0ms (2.4%)

Memory

-27.0MiB live, 167.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
0	9	25
1	38	25
2	244	25
3	2471	25
0	11448	25

Stop Event

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

Counts

3 → 8

Calls

Call 1

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

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

eval2.0ms (0%)

Memory: 4.9MiB live, 4.9MiB allocated
Compiler: Compiled 247 to 54 computations (78.1% saved)

prune4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	18	7	25

Accuracy

100.0%

Counts

25 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.2%	(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (fma.f64 x x #s(literal -1 binary64)))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	47.4%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	46.5%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	46.5%	#s(approx (/ x (- 1 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) x))
✓	47.2%	#s(approx (/ x (- 1 x)) (*.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x))
✓	54.5%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 160 to 76 computations (52.5% saved)

regimes7.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

3.0ms	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)

regimes50.0ms (1%)

Memory

-28.8MiB live, 9.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

47.0ms	x
2.0ms	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
98.8%	3	`x`
98.8%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) (*.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x))
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
#s(approx (/ x (- 1 x)) (*.f64 (+.f64 #s(literal 1 binary64) 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
98.6%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.0%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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
54.5%	1	`x`
54.5%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999961335969	-0.10185245577807177

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999961335969	-0.10185245577807177

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999961335969	-0.10185245577807177

Compiler

Compiled 8 to 8 computations (0% saved)

simplify26.0ms (0.5%)

Memory

2.5MiB live, 52.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	93
1	27	93
2	30	93
3	32	93
4	33	93

Stop Event

1×

saturated

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

soundness1.1s (22.2%)

Memory

-18.8MiB live, 455.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	83
0	27	83
1	117	71
2	896	71
0	8936	69
0	37	128
1	114	124
2	288	114
3	835	112
4	3251	112
5	5822	112
0	8043	104
0	33	92
1	93	85
2	220	79
3	545	77
4	1047	77
5	1955	77
6	3384	77
7	4540	77
8	4656	77
9	4656	77
10	4818	77
11	4893	77
12	4893	77
0	4893	74

Stop Event

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

Compiler

Compiled 131 to 50 computations (61.8% saved)

preprocess28.0ms (0.5%)

Memory: 33.7MiB live, 70.2MiB allocated
Compiler: Compiled 196 to 52 computations (73.5% 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	195	10
5	284	10
6	295	10
7	309	10
8	322	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	8	27
0	9	27
1	15	27
2	19	27
3	24	27
4	31	27
5	41	27
6	56	27
7	86	27
8	111	27
9	119	27
10	121	27
0	121	27

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	195	10
5	284	10
6	295	10
7	309	10
8	322	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	8	27
0	9	27
1	15	27
2	19	27
3	24	27
4	31	27
5	41	27
6	56	27
7	86	27
8	111	27
9	119	27
10	121	27
0	121	27

start0.0ms (0%)

analyze1.0ms (0%)

sample841.0ms (16.4%)

explain115.0ms (2.2%)

preprocess32.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize17.0ms (0.3%)

series1.0ms (0%)

simplify147.0ms (2.9%)

rewrite160.0ms (3.1%)

eval89.0ms (1.7%)

prune10.0ms (0.2%)

simplify258.0ms (5%)

localize70.0ms (1.4%)

series4.0ms (0.1%)

simplify159.0ms (3.1%)

rewrite183.0ms (3.6%)

eval135.0ms (2.6%)

prune35.0ms (0.7%)

simplify318.0ms (6.2%)

localize259.0ms (5%)

series3.0ms (0.1%)

simplify199.0ms (3.9%)

rewrite226.0ms (4.4%)

eval169.0ms (3.3%)

prune49.0ms (0.9%)

simplify53.0ms (1%)

localize43.0ms (0.8%)

series1.0ms (0%)

simplify168.0ms (3.3%)

rewrite123.0ms (2.4%)

eval2.0ms (0%)

prune4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes50.0ms (1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify26.0ms (0.5%)

soundness1.1s (22.2%)

preprocess28.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	195	10
5	284	10
6	295	10
7	309	10
8	322	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	8	27
0	9	27
1	15	27
2	19	27
3	24	27
4	31	27
5	41	27
6	56	27
7	86	27
8	111	27
9	119	27
10	121	27
0	121	27