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

3.8MiB live, 3.8MiB 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)

sample625.0ms (15.6%)

Memory

31.5MiB live, 808.4MiB allocated

Samples

380.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 238.0ms

ival-sub: 160.0ms (67.2% of total)

ival-div: 63.0ms (26.5% of total)

ival-true: 6.0ms (2.5% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 4.0ms (1.7% of total)

Bogosity

explain58.0ms (1.4%)

Memory

-55.1MiB live, 90.3MiB 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

30.0ms

512×

valid

Compiler

Compiled 30 to 16 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 17.0ms (83.1% of total)

ival-sub: 3.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess22.0ms (0.5%)

Memory

7.2MiB live, 45.0MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`associate-l`
21×	`times-frac`
18×	`lower-+.f64`
18×	`lower-+.f32`
17×	`unsub-neg`

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 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB 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))

Rules

18×	`lower-+.f64`
18×	`lower-+.f32`
13×	`sub-neg`
13×	`lower--.f32`
12×	`lower--.f64`

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 (0.4%)

Memory

1.4MiB live, 37.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Samples

11.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-div: 2.0ms (54.5% of total)

ival-sub: 1.0ms (27.3% 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

3.6MiB live, 3.6MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())

Inputs

#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())

#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify162.0ms (4%)

Memory

-1.8MiB live, 116.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 312×	`lower-fma.f64`
2 312×	`lower-fma.f32`
775×	`unsub-neg`
548×	`lower-*.f64`
548×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	135
1	93	120
2	220	114
3	546	112
4	1048	112
5	1960	112
6	3386	112
7	4530	112
8	4646	112
9	4646	112
10	4808	112
11	4883	112
12	4883	112
0	4883	109

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 23

Calls

Call 1

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

rewrite421.0ms (10.5%)

Memory

8.5MiB live, 204.2MiB allocated

Rules

1 929×	`lower-/.f32`
1 928×	`lower-/.f64`
1 889×	`lower-fma.f64`
1 889×	`lower-fma.f32`
1 460×	`lower-*.f64`

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

eval292.0ms (7.3%)

Memory: 4.3MiB live, 159.3MiB allocated
Compiler: Compiled 12 167 to 1 267 computations (89.6% saved)

prune107.0ms (2.7%)

Memory

-7.1MiB live, 162.0MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	444	4	448
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	444	5	449

Accuracy

100.0%

Counts

449 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
▶	51.3%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
▶	50.3%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
▶	50.7%	#s(approx (/ x (- 1 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)))
▶	50.6%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 35 to 16 computations (54.3% saved)

simplify131.0ms (3.3%)

Memory

-11.2MiB live, 106.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

1 608×	`lower-fma.f32`
1 605×	`lower-fma.f64`
384×	`lower-*.f32`
383×	`lower-*.f64`
280×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	82
0	19	82
1	38	82
2	84	82
3	210	82
4	306	82
5	418	82
6	499	82
7	702	82
8	1191	82
9	1624	82
10	2276	82
11	2929	82
12	3031	82
13	3053	82
14	3056	82
15	3096	82
16	3112	82
0	3112	82

Stop Event

1×	iter limit
1×	saturated
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)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x x x)
#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

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

localize49.0ms (1.2%)

Memory

-8.7MiB live, 111.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x x)
accuracy	0.0625	(fma.f64 (fma.f64 x x x) x x)
accuracy	31.198942782460698	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
accuracy	0	(fma.f64 x x x)
accuracy	31.793652775948885	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
accuracy	0	(fma.f64 x x x)
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0.0546875	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))
accuracy	31.554661848582725	#s(approx (/ x (- 1 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)))
accuracy	31.588932678264143	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Samples

25.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

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

ival-div: 7.0ms (42.4% of total)

ival-mult: 4.0ms (24.2% of total)

ival-add: 3.0ms (18.2% of total)

ival-sub: 2.0ms (12.1% 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

11.9MiB live, 11.9MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) (patch #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) (patch #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) (patch #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) (patch #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) (patch #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) (patch #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) (patch #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) (patch #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) (patch #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) (patch #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) (patch #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) (patch #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) (patch #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) (patch #s(approx (/ x (- 1 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))) (taylor inf x) (#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 x x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) (patch #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x x x) x x) (patch (fma.f64 (fma.f64 x x x) x x) #<representation binary64>) () ())) ())

Calls

24 calls:

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

simplify223.0ms (5.5%)

Memory

-9.9MiB live, 182.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 169×	`lower-fma.f64`
7 169×	`lower-fma.f32`
1 708×	`lower-*.f64`
1 708×	`lower-*.f32`
706×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	672
1	165	632
2	447	614
3	1358	588
4	3307	588
5	6547	588
0	8207	528

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 89

Calls

Call 1

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

rewrite319.0ms (7.9%)

Memory

10.0MiB live, 333.4MiB allocated

Rules

4 373×	`lower-fma.f32`
4 370×	`lower-fma.f64`
2 741×	`lower-*.f32`
2 740×	`lower-*.f64`
2 350×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	69
0	19	69
1	86	69
2	667	69
0	8491	69

Stop Event

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

Counts

8 → 747

Calls

Call 1

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

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

eval159.0ms (4%)

Memory: 32.5MiB live, 264.4MiB allocated
Compiler: Compiled 31 465 to 1 791 computations (94.3% saved)

prune168.0ms (4.2%)

Memory

-20.4MiB live, 381.9MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 053	1	1 054
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	1 053	6	1 059

Accuracy

100.0%

Counts

1 059 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	51.3%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	50.3%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	50.7%	#s(approx (/ x (- 1 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)))
▶	3.2%	#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
✓	50.6%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 41 to 18 computations (56.1% saved)

simplify21.0ms (0.5%)

Memory

-8.1MiB live, 28.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

112×	`lower-fma.f64`
112×	`lower-fma.f32`
76×	`lower-*.f32`
75×	`lower-*.f64`
40×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	10	28
1	17	28
2	23	28
3	34	28
4	41	28
5	68	28
6	98	28
7	175	28
8	274	28
9	297	28
10	324	28
11	353	28
12	435	28
13	501	28
14	506	28
0	506	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.7%)

Memory

-2.7MiB live, 35.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	31.16589200098152	#s(approx (+ (* x x) x) (*.f64 x x))
accuracy	31.793652775948885	#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))

Samples

11.0ms

256×

valid

Compiler

Compiled 16 to 8 computations (50% saved)

Precisions

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

ival-div: 2.0ms (30.9% of total)

ival-mult: 2.0ms (30.9% of total)

ival-sub: 1.0ms (15.5% of total)

ival-add: 1.0ms (15.5% 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

2.4MiB live, 2.4MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs

#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))) #<representation binary64>) () ())

#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation binary64>) () ())

#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ ( x x) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ ( x x) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1 x)))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ ( x x) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) (taylor 0 x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ ( x x) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ ( x x) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ ( x x) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ ( x x) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ ( x x) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ ( x x) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ ( x x) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ ( x x) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (.f64 x x))) (patch #s(approx (/ x (- 1 x)) #s(approx (+ ( x x) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (+ (* x x) x) (.f64 x x)) (patch #s(approx (+ ( x x) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x x) x) (.f64 x x)) (patch #s(approx (+ ( x x) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x x) x) (.f64 x x)) (patch #s(approx (+ ( x x) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x x) x) (.f64 x x)) (patch #s(approx (+ ( x x) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (* x x) x) (.f64 x x)) (patch #s(approx (+ ( x x) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x x) x) (.f64 x x)) (patch #s(approx (+ ( x x) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x x) x) (.f64 x x)) (patch #s(approx (+ ( x x) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x x) x) (.f64 x x)) (patch #s(approx (+ ( x x) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* x x) x) (.f64 x x)) (patch #s(approx (+ ( x x) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) x) (.f64 x x)) (patch #s(approx (+ ( x x) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) x) (.f64 x x)) (patch #s(approx (+ ( x x) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) x) (.f64 x x)) (patch #s(approx (+ ( x x) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify207.0ms (5.2%)

Memory

37.9MiB live, 302.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 590×	`lower-fma.f64`
9 590×	`lower-fma.f32`
1 712×	`lower-*.f64`
1 712×	`lower-*.f32`
1 006×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	182
1	83	176
2	195	170
3	471	168
4	1280	168
5	3914	168
6	7149	168
0	8052	154

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

Calls

Call 1

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

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

rewrite171.0ms (4.3%)

Memory

-43.9MiB live, 223.5MiB allocated

Rules

1 971×	`lower-fma.f64`
1 971×	`lower-fma.f32`
1 919×	`lower-/.f64`
1 919×	`lower-/.f32`
1 195×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	10	27
1	47	27
2	304	27
3	3039	27
0	10644	25

Stop Event

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

Counts

3 → 19

Calls

Call 1

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

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

eval5.0ms (0.1%)

Memory: 12.2MiB live, 12.2MiB allocated
Compiler: Compiled 365 to 46 computations (87.4% saved)

prune6.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	53	6	59

Accuracy

100.0%

Counts

59 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	51.3%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	50.3%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	50.7%	#s(approx (/ x (- 1 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x)))
✓	3.2%	#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
✓	50.6%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 77 to 28 computations (63.6% saved)

regimes7.0ms (0.2%)

Memory

-25.8MiB live, 12.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
98.7%	3	`x`
98.7%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
#s(approx (/ x (- 1 x)) (fma.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 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Accuracy

Total -31.3b remaining (-99%)

Threshold costs -31.3b (-99%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x 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
50.6%	1	`x`
50.6%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.979061601651457	-0.00044948704122918894

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.979061601651457	-0.00044948704122918894

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify6.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	21	65
2	24	65
3	26	65
4	27	65

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)))
#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))

soundness759.0ms (18.9%)

Memory

-29.4MiB live, 127.7MiB allocated

Rules

2 312×	`lower-fma.f64`
2 312×	`lower-fma.f32`
775×	`unsub-neg`
548×	`lower-*.f64`
548×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	135
1	93	120
2	220	114
3	546	112
4	1048	112
5	1960	112
6	3386	112
7	4530	112
8	4646	112
9	4646	112
10	4808	112
11	4883	112
12	4883	112
0	4883	109

Stop Event

1×	done
1×	iter limit
1×	saturated

Compiler

Compiled 60 to 22 computations (63.3% saved)

preprocess28.0ms (0.7%)

Memory: 24.1MiB live, 61.5MiB allocated
Compiler: Compiled 94 to 30 computations (68.1% 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	9	28
0	10	28
1	17	28
2	23	28
3	34	28
4	41	28
5	68	28
6	98	28
7	175	28
8	274	28
9	297	28
10	324	28
11	353	28
12	435	28
13	501	28
14	506	28
0	506	26

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	9	28
0	10	28
1	17	28
2	23	28
3	34	28
4	41	28
5	68	28
6	98	28
7	175	28
8	274	28
9	297	28
10	324	28
11	353	28
12	435	28
13	501	28
14	506	28
0	506	26

start0.0ms (0%)

analyze1.0ms (0%)

sample625.0ms (15.6%)

explain58.0ms (1.4%)

preprocess22.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize17.0ms (0.4%)

series1.0ms (0%)

simplify162.0ms (4%)

rewrite421.0ms (10.5%)

eval292.0ms (7.3%)

prune107.0ms (2.7%)

simplify131.0ms (3.3%)

localize49.0ms (1.2%)

series4.0ms (0.1%)

simplify223.0ms (5.5%)

rewrite319.0ms (7.9%)

eval159.0ms (4%)

prune168.0ms (4.2%)

simplify21.0ms (0.5%)

localize27.0ms (0.7%)

series1.0ms (0%)

simplify207.0ms (5.2%)

rewrite171.0ms (4.3%)

eval5.0ms (0.1%)

prune6.0ms (0.2%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness759.0ms (18.9%)

preprocess28.0ms (0.7%)

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	9	28
0	10	28
1	17	28
2	23	28
3	34	28
4	41	28
5	68	28
6	98	28
7	175	28
8	274	28
9	297	28
10	324	28
11	353	28
12	435	28
13	501	28
14	506	28
0	506	26