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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
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)

sample612.0ms (8.2%)

Memory

18.8MiB live, 761.6MiB allocated

Samples

389.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-div: 130.0ms (53.8% of total)

ival-sub: 98.0ms (40.6% of total)

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

exact: 5.0ms (2.1% of total)

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

Bogosity

explain44.0ms (0.6%)

Memory

30.8MiB live, 68.0MiB 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 30 to 16 computations (46.7% saved)

Precisions

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

ival-sub: 3.0ms (41% of total)

ival-div: 3.0ms (41% of total)

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

exact: 0.0ms (0% of total)

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

preprocess30.0ms (0.4%)

Memory

-17.1MiB live, 21.6MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify6.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB 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))

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 (0.2%)

Memory

-12.7MiB live, 24.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.015625	(/.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 (55.7% of total)

ival-sub: 1.0ms (27.9% 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

2.0MiB live, 2.0MiB 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)

simplify173.0ms (2.3%)

Memory

-8.3MiB live, 88.7MiB 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)

rewrite238.0ms (3.2%)

Memory

-7.7MiB live, 268.0MiB 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))

eval106.0ms (1.4%)

Memory: 13.8MiB live, 86.6MiB allocated
Compiler: Compiled 12 167 to 1 267 computations (89.6% saved)

prune242.0ms (3.2%)

Memory

-20.6MiB live, 141.8MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	442	6	448
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	442	7	449

Accuracy

100.0%

Counts

449 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.4%	(/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
▶	51.5%	(/.f64 x #s(approx (- 1 x) #s(literal 1 binary64)))
▶	51.7%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
▶	50.9%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
	49.0%	#s(approx (/ x (- 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
▶	49.5%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 88 to 46 computations (47.7% saved)

simplify428.0ms (5.7%)

Memory

8.6MiB live, 171.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
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	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	(/.f64 x #s(approx (- 1 x) #s(literal 1 binary64)))
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 #s(literal -1 binary64) x)
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))
cost-diff	1088	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))

Rules

7 393×	`lower-fma.f32`
7 390×	`lower-fma.f64`
1 199×	`lower-*.f64`
1 199×	`lower-*.f32`
1 075×	`lower--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	89
0	25	89
1	42	89
2	77	89
3	184	89
4	366	79
5	991	79
6	3657	79
0	8254	79

Stop Event

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

Calls

Call 1

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

localize257.0ms (3.4%)

Memory

8.6MiB live, 45.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x x)
accuracy	0.046875	(fma.f64 (fma.f64 x x x) x x)
accuracy	30.919543522334273	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
accuracy	0.015625	(/.f64 x #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	31.051814694818837	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	(fma.f64 x x x)
accuracy	31.447233798372885	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
accuracy	32.301186270824594	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0.015625	(/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))
accuracy	13.248980006084054	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))

Samples

242.0ms	253×	0	valid
1.0ms	3×	1	valid

Compiler

Compiled 79 to 15 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-mult: 222.0ms (95.3% of total)

ival-div: 5.0ms (2.1% of total)

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

ival-sub: 2.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

11 → 132

Calls

Call 1

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

33 calls:

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

simplify243.0ms (3.2%)

Memory

-3.9MiB live, 316.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 966×	`lower-fma.f64`
6 966×	`lower-fma.f32`
1 795×	`lower-*.f64`
1 795×	`lower-*.f32`
645×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	781
1	145	729
2	377	690
3	1550	680
4	4853	680
0	8156	622

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 125

Calls

Call 1

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

rewrite239.0ms (3.2%)

Memory

0.3MiB live, 410.6MiB allocated

Rules

3 135×	`lower-fma.f32`
3 132×	`lower-fma.f64`
2 221×	`lower-*.f64`
2 221×	`lower-*.f32`
2 058×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	78
0	25	78
1	118	70
2	884	68
0	9029	68

Stop Event

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

Counts

11 → 857

Calls

Call 1

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

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

eval181.0ms (2.4%)

Memory: 2.2MiB live, 308.4MiB allocated
Compiler: Compiled 21 864 to 2 505 computations (88.5% saved)

prune194.0ms (2.6%)

Memory

-29.7MiB live, 300.2MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 052	5	1 057
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	1 054	10	1 064

Accuracy

100.0%

Counts

1 064 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(/.f64 (fma.f64 x x x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	51.7%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	50.9%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
	49.0%	#s(approx (/ x (- 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
▶	50.9%	#s(approx (/ x (- 1 x)) (+.f64 (*.f64 x x) x))
▶	50.9%	#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
▶	4.5%	#s(approx (/ x (- 1 x)) #s(approx (+ (* (+ (* x x) x) x) x) (.f64 (.f64 x x) x)))
▶	3.5%	#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
✓	49.5%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 116 to 57 computations (50.9% saved)

simplify197.0ms (2.6%)

Memory

44.7MiB live, 278.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

7 554×	`lower-fma.f32`
7 552×	`lower-fma.f64`
1 538×	`lower-*.f32`
1 535×	`lower-*.f64`
886×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	131
0	35	129
1	52	123
2	80	123
3	118	123
4	198	123
5	296	123
6	745	118
7	2681	118
8	3922	118
9	6074	118
10	7018	118
11	7753	118
0	8015	116

Stop Event

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

Calls

Call 1

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

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

localize56.0ms (0.7%)

Memory

-18.3MiB live, 97.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.08984375	(.f64 (.f64 x x) x)
accuracy	30.919543522334273	#s(approx (/ x (- 1 x)) #s(approx (+ (* (+ (* x x) x) x) x) (.f64 (.f64 x x) x)))
accuracy	31.427802039357044	#s(approx (+ (* (+ (* x x) x) x) x) (.f64 (.f64 x x) x))
accuracy	0	(*.f64 x x)
accuracy	0.015625	(+.f64 (*.f64 x x) x)
accuracy	31.447233798372885	#s(approx (/ x (- 1 x)) (+.f64 (*.f64 x x) x))
accuracy	0	(-.f64 x #s(literal -1 binary64))
accuracy	0.015625	(*.f64 (-.f64 x #s(literal -1 binary64)) x)
accuracy	31.447233798372885	#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
accuracy	0	(*.f64 x x)
accuracy	31.447233798372885	#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
accuracy	31.58368073863143	#s(approx (+ (* x x) x) (*.f64 x x))
accuracy	0	(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
accuracy	0	(fma.f64 x x x)
accuracy	0	(neg.f64 x)
accuracy	14.173057420318127	(/.f64 (fma.f64 x x x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))

Samples

33.0ms

256×

valid

Compiler

Compiled 95 to 18 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 8.0ms (36% of total)

ival-sub: 6.0ms (27% of total)

ival-div: 3.0ms (13.5% of total)

ival-add: 3.0ms (13.5% of total)

ival-neg: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

45 calls:

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

simplify212.0ms (2.8%)

Memory

-18.4MiB live, 291.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 428×	`lower-fma.f64`
9 428×	`lower-fma.f32`
1 664×	`lower-*.f64`
1 664×	`lower-*.f32`
767×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	951
1	126	908
2	319	878
3	1289	868
4	4379	868
0	8136	792

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 168

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

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

rewrite219.0ms (2.9%)

Memory

5.5MiB live, 279.2MiB allocated

Rules

5 251×	`lower-fma.f32`
5 249×	`lower-fma.f64`
2 114×	`lower-*.f32`
2 111×	`lower-*.f64`
1 812×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	118
0	35	110
1	118	105
2	807	105
0	9917	102

Stop Event

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

Counts

15 → 1 091

Calls

Call 1

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

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

eval495.0ms (6.6%)

Memory: -189.7MiB live, 319.8MiB allocated
Compiler: Compiled 22 788 to 1 650 computations (92.8% saved)

prune243.0ms (3.3%)

Memory

29.6MiB live, 266.9MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 329	2	1 331
Fresh	1	0	1
Picked	2	3	5
Done	0	4	4
Total	1 332	9	1 341

Accuracy

100.0%

Counts

1 341 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.7%	(/.f64 (fma.f64 x x x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
▶	49.0%	#s(approx (/ (+ (* x x) x) (+ (* (neg x) x) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
✓	51.7%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	50.9%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	50.9%	#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
▶	51.5%	#s(approx (/ x (- 1 x)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))
✓	4.5%	#s(approx (/ x (- 1 x)) #s(approx (+ (* (+ (* x x) x) x) x) (.f64 (.f64 x x) x)))
✓	49.5%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 63 to 32 computations (49.2% saved)

simplify229.0ms (3.1%)

Memory

-5.3MiB live, 204.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

7 594×	`lower-fma.f64`
7 594×	`lower-fma.f32`
1 522×	`lower-*.f32`
1 521×	`lower-*.f64`
800×	`lower--.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	18	56
0	21	56
1	36	55
2	49	55
3	71	55
4	97	55
5	176	55
6	487	49
7	1892	49
8	3673	49
9	5942	49
10	7011	49
11	7811	49
0	8051	49

Stop Event

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

Calls

Call 1

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

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

localize65.0ms (0.9%)

Memory

-0.8MiB live, 73.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.00390625	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
accuracy	32.669762388102214	#s(approx (/ (+ (* x x) x) (+ (* (neg x) x) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
accuracy	0.015625	(*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x)
accuracy	30.97959730458441	#s(approx (- x -1) #s(literal 1 binary64))
accuracy	31.447233798372885	#s(approx (/ x (- 1 x)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))

Samples

54.0ms

256×

valid

Compiler

Compiled 40 to 17 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-sub: 33.0ms (71.3% of total)

ival-div: 5.0ms (10.8% of total)

ival-mult: 5.0ms (10.8% of total)

ival-add: 2.0ms (4.3% of total)

ival-neg: 1.0ms (2.2% 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%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

6 → 72

Calls

Call 1

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

Calls

18 calls:

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

simplify244.0ms (3.3%)

Memory

-6.4MiB live, 265.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 471×	`lower-fma.f64`
8 471×	`lower-fma.f32`
2 204×	`lower-*.f64`
2 204×	`lower-*.f32`
938×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	365
1	98	344
2	208	332
3	671	328
4	2825	328
5	5279	328
0	8058	309

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 67

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

rewrite332.0ms (4.4%)

Memory

1.1MiB live, 338.7MiB allocated

Rules

3 650×	`lower-fma.f64`
3 650×	`lower-fma.f32`
2 186×	`lower-*.f32`
2 185×	`lower-*.f64`
2 164×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	51
0	21	51
1	108	44
2	804	44
0	9158	44

Stop Event

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

Counts

6 → 83

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* x x) x) (+ (* (neg x) x) 1)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))
(.f64 (.f64 #s(approx (- x -1) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(approx (- x -1) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))
(.f64 x (.f64 #s(literal 1 binary64) #s(approx (- x -1) #s(literal 1 binary64))))
(*.f64 x #s(approx (- x -1) #s(literal 1 binary64)))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (/ (+ (* x x) x) (+ (* (neg x) x) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
(.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) x)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (.f64 (.f64 x x) x)) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) x)))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.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))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (.f64 (.f64 x x) x)) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) 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)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(neg.f64 (/.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))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))))
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))

eval32.0ms (0.4%)

Memory: -12.3MiB live, 26.5MiB allocated
Compiler: Compiled 2 196 to 219 computations (90% saved)

prune37.0ms (0.5%)

Memory

1.8MiB live, 40.7MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	150	9	159

Accuracy

100.0%

Counts

159 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.7%	(/.f64 (fma.f64 x x x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	49.0%	#s(approx (/ (+ (* x x) x) (+ (* (neg x) x) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
✓	51.7%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	50.9%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	50.9%	#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
✓	51.5%	#s(approx (/ x (- 1 x)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))
✓	4.5%	#s(approx (/ x (- 1 x)) #s(approx (+ (* (+ (* x x) x) x) x) (.f64 (.f64 x x) x)))
✓	49.5%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 149 to 55 computations (63.1% saved)

regimes10.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

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

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

Calls

2 calls:

5.0ms	x
4.0ms	(/.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 8 to 5 computations (37.5% saved)

regimes80.0ms (1.1%)

Memory

-30.1MiB live, 11.9MiB allocated

Counts

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

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

Calls

2 calls:

75.0ms	(/.f64 x (-.f64 #s(literal 1 binary64) x))
4.0ms	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)

regimes4.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

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

1 calls:

3.0ms

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

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

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

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

Calls

1 calls:

3.0ms

(/.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 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Memory

6.0MiB live, 6.0MiB 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)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
97.5%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

2 → 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)))

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

Calls

2 calls:

2.0ms	x
1.0ms	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
49.5%	1	`x`
51.1%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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
49.5%	1	`x`
49.5%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.995720974977665	-0.4313264343216708

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	-0.995720974977665	-0.4313264343216708

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	-0.995720974977665	-0.4313264343216708

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	-0.995720974977665	-0.4313264343216708

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	-9.77340219548161e-151	-2.3613713850961995e-161

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify52.0ms (0.7%)

Memory

-24.5MiB live, 13.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	155
1	41	155
2	47	155
3	54	155
4	55	155

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)) (-.f64 (/.f64 #s(literal -1 binary64) 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 (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 (- x -1) #s(literal 1 binary64)) x)))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -7371020360979573/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) #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)) #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)) (-.f64 (/.f64 #s(literal -1 binary64) 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 (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 (- x -1) #s(literal 1 binary64)) x)))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -7371020360979573/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) #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)) #s(literal -1 binary64))

soundness1.8s (23.6%)

Memory

19.7MiB live, 562.1MiB allocated

Rules

9 428×	`lower-fma.f64`
9 428×	`lower-fma.f32`
6 966×	`lower-fma.f64`
6 966×	`lower-fma.f32`
3 135×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	951
1	126	908
2	319	878
3	1289	868
4	4379	868
0	8136	792
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
0	46	781
1	145	729
2	377	690
3	1550	680
4	4853	680
0	8156	622
0	16	78
0	25	78
1	118	70
2	884	68
0	9029	68

Stop Event

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

Compiler

Compiled 152 to 53 computations (65.1% saved)

preprocess162.0ms (2.2%)

Memory: 1.6MiB live, 122.7MiB allocated
Compiler: Compiled 198 to 48 computations (75.8% 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	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

start0.0ms (0%)

analyze1.0ms (0%)

sample612.0ms (8.2%)

explain44.0ms (0.6%)

preprocess30.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize17.0ms (0.2%)

series1.0ms (0%)

simplify173.0ms (2.3%)

rewrite238.0ms (3.2%)

eval106.0ms (1.4%)

prune242.0ms (3.2%)

simplify428.0ms (5.7%)

localize257.0ms (3.4%)

series6.0ms (0.1%)

simplify243.0ms (3.2%)

rewrite239.0ms (3.2%)

eval181.0ms (2.4%)

prune194.0ms (2.6%)

simplify197.0ms (2.6%)

localize56.0ms (0.7%)

series7.0ms (0.1%)

simplify212.0ms (2.8%)

rewrite219.0ms (2.9%)

eval495.0ms (6.6%)

prune243.0ms (3.3%)

simplify229.0ms (3.1%)

localize65.0ms (0.9%)

series3.0ms (0%)

simplify244.0ms (3.3%)

rewrite332.0ms (4.4%)

eval32.0ms (0.4%)

prune37.0ms (0.5%)

regimes10.0ms (0.1%)

regimes80.0ms (1.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify52.0ms (0.7%)

soundness1.8s (23.6%)

preprocess162.0ms (2.2%)

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