Metrics for ENA, Section 1.4, Mentioned, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze5.0ms (0%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
25%	0%	0%	100%	0%	0%	0%	3
62.5%	0%	0%	100%	0%	0%	0%	4
81.3%	0%	0%	100%	0%	0%	0%	5
90.6%	0%	0%	100%	0%	0%	0%	6
95.3%	0%	0%	100%	0%	0%	0%	7
97.7%	0%	0%	100%	0%	0%	0%	8
98.8%	0%	0%	100%	0%	0%	0%	9
99.4%	0%	0%	100%	0%	0%	0%	10
99.7%	0%	0%	100%	0%	0%	0%	11
99.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.1s (12.1%)

Memory

-63.9MiB live, 1 239.4MiB allocated

Samples

635.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 474.0ms

const: 227.0ms (47.9% of total)

ival-mult: 78.0ms (16.5% of total)

ival-div: 62.0ms (13.1% of total)

ival-<=: 47.0ms (9.9% of total)

ival-sub: 38.0ms (8% of total)

ival-and: 11.0ms (2.3% of total)

exact: 7.0ms (1.5% of total)

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

Bogosity

explain80.0ms (0.9%)

Memory

-24.1MiB live, 103.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
245	11	(0.9997224030073854)	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
0	0	-	-	`(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 x x)`
0	0	-	-	`#s(literal 10 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`	cancellation	256	0

Confusion

	Predicted +	Predicted -
+	245	0
-	11	0

Precision

0.95703125

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	245	0	0
-	11	0	0

Precision?

0.95703125

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sub: 11.0ms (57.7% of total)

ival-mult: 4.0ms (21% of total)

ival-div: 3.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess416.0ms (4.5%)

Memory

19.2MiB live, 245.9MiB allocated

Algorithm

1×	egg-herbie

Rules

34 542×	`lower-fma.f64`
34 542×	`lower-fma.f32`
4 422×	`lower-*.f32`
4 420×	`lower-*.f64`
2 558×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	31	14
2	56	14
3	108	14
4	145	14
5	202	14
6	387	14
7	686	14
8	1180	14
9	2059	14
10	4811	14
11	6557	14
12	7323	14
13	7621	14
14	7677	14
15	7697	14
16	7972	14
0	6	7
0	9	7
1	16	7
2	23	7
3	31	7
4	46	7
5	68	7
6	124	7
7	342	7
8	649	7
9	1241	7
10	2306	7
11	3371	7
12	4079	7
13	4374	7
14	4679	7
15	4835	7
16	4912	7
17	5121	7
18	5884	7
19	6090	7
20	7775	7
0	8029	6

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Outputs
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.8%	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify360.0ms (3.9%)

Memory

19.9MiB live, 248.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	128	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Rules

34 542×	`lower-fma.f64`
34 542×	`lower-fma.f32`
4 422×	`lower-*.f32`
4 420×	`lower-*.f64`
2 558×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	16	18
2	23	18
3	31	18
4	46	18
5	68	18
6	124	18
7	342	18
8	649	18
9	1241	18
10	2306	18
11	3371	18
12	4079	18
13	4374	18
14	4679	18
15	4835	18
16	4912	18
17	5121	18
18	5884	18
19	6090	18
20	7775	18
0	8029	17

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 10 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

Outputs
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal 10 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

localize18.0ms (0.2%)

Memory

-12.5MiB live, 24.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.2265625	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	7.829072204840591	(-.f64 #s(literal 1 binary64) (*.f64 x x))

Samples

13.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 5.0ms (59.4% of total)

ival-mult: 2.0ms (23.8% of total)

ival-sub: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())

Inputs

#s(alt (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())

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

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

Outputs
#s(alt 10 (taylor 0 x) (#s(alt (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* 10 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.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 (/ -10 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.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 (/ -10 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ 10 (- 1 (* x x))) (- 1 (* x x)) (* x x))
0.0ms	x	@	0	((/ 10 (- 1 (* x x))) (- 1 (* x x)) (* x x))
0.0ms	x	@	-inf	((/ 10 (- 1 (* x x))) (- 1 (* x x)) (* x x))

simplify180.0ms (1.9%)

Memory

-15.3MiB live, 211.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 502×	`lower-fma.f64`
11 502×	`lower-fma.f32`
3 238×	`lower-*.f64`
3 238×	`lower-*.f32`
1 464×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	257
1	78	248
2	232	234
3	661	226
4	1912	226
5	5318	226
0	8121	221

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
10
#s(literal 10 binary64)
(+ 10 (* 10 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 10 binary64) #s(literal 10 binary64)) (fma.f64 x x #s(literal 1 binary64)))
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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64)) (/.f64 #s(literal 10 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x))
(* -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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64)) (/.f64 #s(literal 10 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x))
(* -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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite139.0ms (1.5%)

Memory

-1.4MiB live, 158.5MiB allocated

Rules

5 360×	`lower-fma.f64`
5 360×	`lower-fma.f32`
3 902×	`lower-/.f32`
3 900×	`lower-/.f64`
3 204×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	39	15
2	229	15
3	1776	15
0	9479	13

Stop Event

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

Counts

3 → 404

Calls

Call 1

Inputs
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

Outputs
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eval101.0ms (1.1%)

Memory: -8.1MiB live, 76.4MiB allocated
Compiler: Compiled 10 924 to 1 271 computations (88.4% saved)

prune39.0ms (0.4%)

Memory

-1.7MiB live, 36.1MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	431	9	440
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	432	9	441

Accuracy

99.9%

Counts

441 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.6%	(pow.f64 (pow.f64 (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	63.4%	(pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64))
	99.3%	(/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/10 binary64))
	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
▶	99.6%	(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
▶	99.4%	(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64))
	9.2%	#s(approx (/ 10 (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64)))
▶	5.9%	#s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x)))
▶	9.1%	#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))

Compiler

Compiled 140 to 108 computations (22.9% saved)

simplify172.0ms (1.8%)

Memory

-11.6MiB live, 144.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64))
cost-diff	320	(.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))
cost-diff	6080	(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal -10 binary64) (*.f64 x x))
cost-diff	0	#s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x)))
cost-diff	0	#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))

Rules

18 258×	`lower-fma.f32`
18 256×	`lower-fma.f64`
3 690×	`lower--.f64`
3 690×	`lower--.f32`
2 834×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	109
0	30	103
1	61	103
2	143	103
3	508	101
4	2848	101
5	4214	101
0	8072	101

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -10 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x)))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
#s(literal -10 binary64)
(*.f64 x x)
x
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal -10 binary64)
(pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -1/10 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal -1/2 binary64)

Outputs
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -10 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x)))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
#s(literal -10 binary64)
(*.f64 x x)
x
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64))
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal -10 binary64)
(pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/100 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/100 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -1/10 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal -1/2 binary64)

localize86.0ms (0.9%)

Memory

27.8MiB live, 110.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.1484375	(pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64))
accuracy	0.36328125	(*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.5013275390737681	(.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.2421875	(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))
accuracy	0.31640625	(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.21875	(/.f64 #s(literal -10 binary64) (*.f64 x x))
accuracy	60.20034425604834	#s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x)))
accuracy	58.176957419903914	#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.2265625	(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))

Samples

43.0ms

256×

valid

Compiler

Compiled 114 to 20 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-pow: 10.0ms (31.6% of total)

const: 7.0ms (22.1% of total)

ival-mult: 6.0ms (19% of total)

ival-div: 5.0ms (15.8% of total)

ival-add: 1.0ms (3.2% of total)

ival-sub: 1.0ms (3.2% of total)

exact: 1.0ms (3.2% of total)

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

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

series12.0ms (0.1%)

Memory

-17.3MiB live, 19.9MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<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 #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) (patch #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (/ 10 (- 1 ( x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -10 binary64) (.f64 x x)) (patch (/.f64 #s(literal -10 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) (patch (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())

Outputs
#s(alt 10 (taylor 0 x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* 10 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<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 10 (taylor 0 x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) (patch #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* 10 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) (patch #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) (patch #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) (patch #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt 10 (taylor 0 x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (/ 10 (- 1 ( x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* 10 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (/ 10 (- 1 ( x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (/ 10 (- 1 ( x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (/ 10 (- 1 ( x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -10 binary64) (.f64 x x)) (patch (/.f64 #s(literal -10 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -10 binary64) (.f64 x x)) (patch (/.f64 #s(literal -10 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -10 binary64) (.f64 x x)) (patch (/.f64 #s(literal -10 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -10 binary64) (.f64 x x)) (patch (/.f64 #s(literal -10 binary64) (.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 10 (taylor 0 x) (#s(alt (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) (patch (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* 10 (pow x 2))) (taylor 0 x) (#s(alt (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) (patch (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))) (taylor 0 x) (#s(alt (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) (patch (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))))) (taylor 0 x) (#s(alt (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) (patch (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow x 2)) 1) (taylor 0 x) (#s(alt (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1) (taylor 0 x) (#s(alt (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1) (taylor 0 x) (#s(alt (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/100 (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/100 (* -1/50 (pow x 2))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/100 (* (pow x 2) (- (* 1/100 (pow x 2)) 1/50))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/100 (* (pow x 2) (- (* 1/100 (pow x 2)) 1/50))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -10 (taylor 0 x) (#s(alt (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -10 (pow x 2)) 10) (taylor 0 x) (#s(alt (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -10 (pow x 2)) 10)) 10) (taylor 0 x) (#s(alt (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -10 (pow x 2)) 10)) 10)) 10) (taylor 0 x) (#s(alt (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/10 (taylor 0 x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/10 (* -1/10 (pow x 2))) (taylor 0 x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/10 (* -1/10 (pow x 2))) (taylor 0 x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/10 (* -1/10 (pow x 2))) (taylor 0 x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) (taylor inf x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -10 binary64) (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 (/ -10 (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) (patch #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) (taylor inf x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) (patch #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) (patch #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) (patch #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (/ 10 (- 1 ( x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) (taylor inf x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (/ 10 (- 1 ( x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (/ 10 (- 1 ( x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (/ 10 (- 1 ( x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -10 binary64) (.f64 x x)) (patch (/.f64 #s(literal -10 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -10 binary64) (.f64 x x)) (patch (/.f64 #s(literal -10 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -10 binary64) (.f64 x x)) (patch (/.f64 #s(literal -10 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -10 binary64) (.f64 x x)) (patch (/.f64 #s(literal -10 binary64) (.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 (/ -10 (pow x 2)) (taylor inf x) (#s(alt (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) (patch (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) (taylor inf x) (#s(alt (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) (patch (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2)) (taylor inf x) (#s(alt (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) (patch (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) (patch (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)) (taylor inf x) (#s(alt (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2)) (taylor inf x) (#s(alt (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2)) (taylor inf x) (#s(alt (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/100 (pow x 4)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/100 (* 1/50 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/100 (/ 1/100 (pow x 4))) (* 1/50 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/100 (/ 1/100 (pow x 4))) (* 1/50 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 10 (pow x 2)) (taylor inf x) (#s(alt (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (/ 10 (pow x 4)))) (pow x 2)) (taylor inf x) (#s(alt (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (+ (* 10 (/ 1 (pow x 6))) (/ 10 (pow x 4))))) (pow x 2)) (taylor inf x) (#s(alt (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/10 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10)) (taylor inf x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10)) (taylor inf x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10)) (taylor inf x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -10 binary64) (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 (/ -10 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) (patch #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) (patch #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) (patch #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) (patch #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (/ 10 (- 1 ( x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (/ 10 (- 1 ( x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (/ 10 (- 1 ( x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (/ 10 (- 1 ( x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -10 binary64) (.f64 x x)) (patch (/.f64 #s(literal -10 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -10 binary64) (.f64 x x)) (patch (/.f64 #s(literal -10 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -10 binary64) (.f64 x x)) (patch (/.f64 #s(literal -10 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -10 binary64) (.f64 x x)) (patch (/.f64 #s(literal -10 binary64) (.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 (/ -10 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) (patch (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) (patch (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) (patch (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) (patch (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/100 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/100 (* 1/50 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/100 (/ 1/100 (pow x 4))) (* 1/50 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/100 (/ 1/100 (pow x 4))) (* 1/50 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 10 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (/ 10 (pow x 4)))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (+ (* 10 (/ 1 (pow x 6))) (/ 10 (pow x 4))))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/10 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10)) (taylor -inf x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10)) (taylor -inf x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10)) (taylor -inf x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

-inf

((/ -10 (+ (* x x) -1)) (+ (* x x) -1) (/ 10 (- 1 (* x x))) (/ 10 (- 1 (* x x))) (/ -10 (* x x)) (* x x) (* (pow (+ (* x x) -1) -1) -10) (pow (+ (* x x) -1) -1) (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (* -1/10 (+ (* x x) -1)))

2.0ms

inf

((/ -10 (+ (* x x) -1)) (+ (* x x) -1) (/ 10 (- 1 (* x x))) (/ 10 (- 1 (* x x))) (/ -10 (* x x)) (* x x) (* (pow (+ (* x x) -1) -1) -10) (pow (+ (* x x) -1) -1) (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (* -1/10 (+ (* x x) -1)))

2.0ms

((/ -10 (+ (* x x) -1)) (+ (* x x) -1) (/ 10 (- 1 (* x x))) (/ 10 (- 1 (* x x))) (/ -10 (* x x)) (* x x) (* (pow (+ (* x x) -1) -1) -10) (pow (+ (* x x) -1) -1) (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (* -1/10 (+ (* x x) -1)))

simplify197.0ms (2.1%)

Memory

2.8MiB live, 230.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18 534×	`lower-fma.f64`
18 534×	`lower-fma.f32`
4 562×	`lower-*.f64`
4 562×	`lower-*.f32`
2 682×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	1289
1	197	1289
2	523	1227
3	1327	1182
4	4127	1174
0	8194	1118

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
(/ -10 (pow x 2))
(/ -10 (pow x 2))
(/ -10 (pow x 2))
(/ -10 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
-1
(- (* -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)) 1)) 1)
1/100
(+ 1/100 (* -1/50 (pow x 2)))
(+ 1/100 (* (pow x 2) (- (* 1/100 (pow x 2)) 1/50)))
(+ 1/100 (* (pow x 2) (- (* 1/100 (pow x 2)) 1/50)))
-10
(- (* -10 (pow x 2)) 10)
(- (* (pow x 2) (- (* -10 (pow x 2)) 10)) 10)
(- (* (pow x 2) (- (* (pow x 2) (- (* -10 (pow x 2)) 10)) 10)) 10)
1/10
(+ 1/10 (* -1/10 (pow x 2)))
(+ 1/10 (* -1/10 (pow x 2)))
(+ 1/10 (* -1/10 (pow x 2)))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (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))))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(/ -10 (pow x 2))
(/ -10 (pow x 2))
(/ -10 (pow x 2))
(/ -10 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(* 1/100 (pow x 4))
(* (pow x 4) (- 1/100 (* 1/50 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/100 (/ 1/100 (pow x 4))) (* 1/50 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/100 (/ 1/100 (pow x 4))) (* 1/50 (/ 1 (pow x 2)))))
(/ 10 (pow x 2))
(/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (/ 10 (pow x 4)))) (pow x 2))
(/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (+ (* 10 (/ 1 (pow x 6))) (/ 10 (pow x 4))))) (pow x 2))
(* -1/10 (pow x 2))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (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))))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(/ -10 (pow x 2))
(/ -10 (pow x 2))
(/ -10 (pow x 2))
(/ -10 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(* 1/100 (pow x 4))
(* (pow x 4) (- 1/100 (* 1/50 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/100 (/ 1/100 (pow x 4))) (* 1/50 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/100 (/ 1/100 (pow x 4))) (* 1/50 (/ 1 (pow x 2)))))
(/ 10 (pow x 2))
(/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (/ 10 (pow x 4)))) (pow x 2))
(/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (+ (* 10 (/ 1 (pow x 6))) (/ 10 (pow x 4))))) (pow x 2))
(* -1/10 (pow x 2))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))

Outputs
10
#s(literal 10 binary64)
(+ 10 (* 10 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 10 binary64) #s(literal 10 binary64)) (fma.f64 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))
10
#s(literal 10 binary64)
(+ 10 (* 10 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 10 binary64) #s(literal 10 binary64)) (fma.f64 x x #s(literal 1 binary64)))
10
#s(literal 10 binary64)
(+ 10 (* 10 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 10 binary64) #s(literal 10 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.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)
10
#s(literal 10 binary64)
(+ 10 (* 10 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 10 binary64) #s(literal 10 binary64)) (fma.f64 x x #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (pow x 2)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 x x))
(- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)
(-.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
1/100
#s(literal 1/100 binary64)
(+ 1/100 (* -1/50 (pow x 2)))
(fma.f64 #s(literal -1/50 binary64) (*.f64 x x) #s(literal 1/100 binary64))
(+ 1/100 (* (pow x 2) (- (* 1/100 (pow x 2)) 1/50)))
(fma.f64 (fma.f64 #s(literal 1/100 binary64) (.f64 x x) #s(literal -1/50 binary64)) (.f64 x x) #s(literal 1/100 binary64))
(+ 1/100 (* (pow x 2) (- (* 1/100 (pow x 2)) 1/50)))
(fma.f64 (fma.f64 #s(literal 1/100 binary64) (.f64 x x) #s(literal -1/50 binary64)) (.f64 x x) #s(literal 1/100 binary64))
-10
#s(literal -10 binary64)
(- (* -10 (pow x 2)) 10)
(fma.f64 #s(literal -10 binary64) (*.f64 x x) #s(literal -10 binary64))
(- (* (pow x 2) (- (* -10 (pow x 2)) 10)) 10)
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -10 binary64) #s(literal -10 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -10 (pow x 2)) 10)) 10)) 10)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -10 binary64) #s(literal -10 binary64)))
1/10
#s(literal 1/10 binary64)
(+ 1/10 (* -1/10 (pow x 2)))
(fma.f64 #s(literal -1/10 binary64) (*.f64 x x) #s(literal 1/10 binary64))
(+ 1/10 (* -1/10 (pow x 2)))
(fma.f64 #s(literal -1/10 binary64) (*.f64 x x) #s(literal 1/10 binary64))
(+ 1/10 (* -1/10 (pow x 2)))
(fma.f64 #s(literal -1/10 binary64) (*.f64 x x) #s(literal 1/10 binary64))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64)) (/.f64 #s(literal 10 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #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))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64)) (/.f64 #s(literal 10 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64)) (/.f64 #s(literal 10 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.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)
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64)) (/.f64 #s(literal 10 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (.f64 x x))
(* 1/100 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/100 binary64))
(* (pow x 4) (- 1/100 (* 1/50 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/100 binary64) (*.f64 x x) #s(literal -1/50 binary64)) x) x)
(* (pow x 4) (- (+ 1/100 (/ 1/100 (pow x 4))) (* 1/50 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1/100 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/100 binary64)) (*.f64 x x) #s(literal -1/50 binary64)))
(* (pow x 4) (- (+ 1/100 (/ 1/100 (pow x 4))) (* 1/50 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1/100 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/100 binary64)) (*.f64 x x) #s(literal -1/50 binary64)))
(/ 10 (pow x 2))
(/.f64 #s(literal 10 binary64) (*.f64 x x))
(/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (*.f64 x x)) #s(literal -10 binary64)) x) x)
(/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (/ 10 (pow x 4)))) (pow x 2))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -10 binary64) (.f64 x x)))
(/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (+ (* 10 (/ 1 (pow x 6))) (/ 10 (pow x 4))))) (pow x 2))
(.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x) (-.f64 (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -10 binary64)))
(* -1/10 (pow x 2))
(.f64 #s(literal -1/10 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(fma.f64 #s(literal -1/10 binary64) (*.f64 x x) #s(literal 1/10 binary64))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(fma.f64 #s(literal -1/10 binary64) (*.f64 x x) #s(literal 1/10 binary64))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(fma.f64 #s(literal -1/10 binary64) (*.f64 x x) #s(literal 1/10 binary64))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64)) (/.f64 #s(literal 10 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #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))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64)) (/.f64 #s(literal 10 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64)) (/.f64 #s(literal 10 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.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)
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64)) (/.f64 #s(literal 10 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (.f64 x x))
(* 1/100 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/100 binary64))
(* (pow x 4) (- 1/100 (* 1/50 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/100 binary64) (*.f64 x x) #s(literal -1/50 binary64)) x) x)
(* (pow x 4) (- (+ 1/100 (/ 1/100 (pow x 4))) (* 1/50 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1/100 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/100 binary64)) (*.f64 x x) #s(literal -1/50 binary64)))
(* (pow x 4) (- (+ 1/100 (/ 1/100 (pow x 4))) (* 1/50 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1/100 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/100 binary64)) (*.f64 x x) #s(literal -1/50 binary64)))
(/ 10 (pow x 2))
(/.f64 #s(literal 10 binary64) (*.f64 x x))
(/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (*.f64 x x)) #s(literal -10 binary64)) x) x)
(/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (/ 10 (pow x 4)))) (pow x 2))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -10 binary64) (.f64 x x)))
(/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (+ (* 10 (/ 1 (pow x 6))) (/ 10 (pow x 4))))) (pow x 2))
(.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x) (-.f64 (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -10 binary64)))
(* -1/10 (pow x 2))
(.f64 #s(literal -1/10 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(fma.f64 #s(literal -1/10 binary64) (*.f64 x x) #s(literal 1/10 binary64))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(fma.f64 #s(literal -1/10 binary64) (*.f64 x x) #s(literal 1/10 binary64))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(fma.f64 #s(literal -1/10 binary64) (*.f64 x x) #s(literal 1/10 binary64))

rewrite148.0ms (1.6%)

Memory

35.0MiB live, 271.9MiB allocated

Rules

4 642×	`lower-*.f32`
4 634×	`lower-*.f64`
3 762×	`lower-/.f32`
3 758×	`lower-/.f64`
3 486×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	88
0	30	72
1	119	70
2	718	70
0	8737	70

Stop Event

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

Counts

11 → 1 207

Calls

Call 1

Inputs
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))
#s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x)))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))

Outputs
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eval649.0ms (7%)

Memory: -6.6MiB live, 530.7MiB allocated
Compiler: Compiled 38 553 to 4 140 computations (89.3% saved)

prune51.0ms (0.5%)

Memory

6.7MiB live, 174.1MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1 959	12	1 971
Fresh	2	2	4
Picked	3	2	5
Done	0	0	0
Total	1 964	16	1 980

Accuracy

100.0%

Counts

1 980 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64))) (-.f64 x #s(literal 1 binary64)))
	99.3%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/10 binary64))
	99.5%	(/.f64 (/.f64 #s(literal -10 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
▶	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
▶	99.6%	(/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
✓	99.6%	(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
	99.3%	(/.f64 #s(literal -10 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))))
	99.5%	(/.f64 #s(literal -10 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
	99.2%	(.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -10 binary64))
	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64))
▶	9.2%	(.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64))
	6.0%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 #s(literal -10 binary64) (*.f64 x x) #s(literal -10 binary64)))
▶	5.9%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))
	9.2%	#s(approx (/ 10 (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64)))
✓	9.1%	#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))

Compiler

Compiled 260 to 196 computations (24.6% saved)

simplify203.0ms (2.2%)

Memory

4.9MiB live, 177.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x))
cost-diff	704	(/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff	0	#s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
cost-diff	0	(.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64))
cost-diff	0	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))
cost-diff	0	(*.f64 (-.f64 x #s(literal 1 binary64)) x)
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
cost-diff	704	(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))

Rules

13 870×	`lower-fma.f32`
13 866×	`lower-fma.f64`
3 918×	`lower-*.f32`
3 910×	`lower-*.f64`
2 618×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	133
0	45	129
1	86	114
2	212	114
3	1069	114
4	2496	114
5	4413	114
6	6531	114
0	8164	114

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(literal -10 binary64)
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))
#s(literal -10 binary64)
(.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64))
#s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x x)
x
#s(literal -10 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -1/10 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal 10 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) x)

Outputs
(/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -10 binary64)
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))
#s(literal -10 binary64)
(.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64))
#s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x x)
x
#s(literal -10 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/10 binary64))
#s(literal -1/10 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 10 binary64) (-.f64 x #s(literal -1 binary64)))
#s(literal 10 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) x)

localize145.0ms (1.6%)

Memory

-5.1MiB live, 194.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.22265625	(/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x))
accuracy	0.31640625	(/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.25	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
accuracy	0.36328125	(*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.2421875	(-.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy	0.31640625	(.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64))
accuracy	58.075328198980245	#s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
accuracy	63.01045373805401	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(*.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	0.203125	(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
accuracy	0.2265625	(/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))

Samples

86.0ms

256×

valid

Compiler

Compiled 130 to 27 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-div: 33.0ms (45.4% of total)

ival-pow: 20.0ms (27.5% of total)

ival-mult: 9.0ms (12.4% of total)

ival-sub: 4.0ms (5.5% of total)

const: 4.0ms (5.5% of total)

ival-add: 3.0ms (4.1% of total)

exact: 1.0ms (1.4% of total)

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

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

series12.0ms (0.1%)

Memory

-15.4MiB live, 19.9MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.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 #s(literal 1 binary64)) x) (patch (.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64)) (patch #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -10 binary64)) (patch (.f64 #s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) (.f64 x x)) (patch (-.f64 #s(literal -1 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<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 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 10 binary64) (+.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>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt 10 (taylor 0 x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* 10 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt -10 (taylor 0 x) (#s(alt #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64)) (patch #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -10 (pow x 2)) 10) (taylor 0 x) (#s(alt #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64)) (patch #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -10 (pow x 2)) 10)) 10) (taylor 0 x) (#s(alt #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64)) (patch #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -10 (pow x 2)) 10)) 10)) 10) (taylor 0 x) (#s(alt #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64)) (patch #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt 10 (taylor 0 x) (#s(alt (.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -10 binary64)) (patch (.f64 #s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* 10 (pow x 2))) (taylor 0 x) (#s(alt (.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -10 binary64)) (patch (.f64 #s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))) (taylor 0 x) (#s(alt (.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -10 binary64)) (patch (.f64 #s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))))) (taylor 0 x) (#s(alt (.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -10 binary64)) (patch (.f64 #s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow x 2)) 1) (taylor 0 x) (#s(alt #s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1) (taylor 0 x) (#s(alt #s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1) (taylor 0 x) (#s(alt #s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) (.f64 x x)) (patch (-.f64 #s(literal -1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow x 2)) 1) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) (.f64 x x)) (patch (-.f64 #s(literal -1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow x 2)) 1) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) (.f64 x x)) (patch (-.f64 #s(literal -1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow x 2)) 1) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) (.f64 x x)) (patch (-.f64 #s(literal -1 binary64) (.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 10 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* 10 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1/10 (taylor 0 x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/10 (* -1/10 (pow x 2))) (taylor 0 x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/10 (* -1/10 (pow x 2))) (taylor 0 x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/10 (* -1/10 (pow x 2))) (taylor 0 x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<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 10 (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* 10 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 10 (taylor 0 x) (#s(alt (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* -10 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* x (- (* 10 x) 10))) (taylor 0 x) (#s(alt (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* x (- (* x (+ 10 (* -10 x))) 10))) (taylor 0 x) (#s(alt (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 10 binary64) (+.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 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 (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 (pow x 2) (taylor inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ -10 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) (taylor inf x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -10 binary64)) (patch (.f64 #s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (.f64 x x))) (patch #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (.f64 x x)) (patch (-.f64 #s(literal -1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (.f64 x x)) (patch (-.f64 #s(literal -1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (.f64 x x)) (patch (-.f64 #s(literal -1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (.f64 x x)) (patch (-.f64 #s(literal -1 binary64) (.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 (/ -10 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/10 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10)) (taylor -inf x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10)) (taylor -inf x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10)) (taylor -inf x) (#s(alt (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal -1/10 binary64) (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 (/ -10 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 10 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 10 (/ 1 x)) 10) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 10 (/ 1 x)) 10) x)) 10) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10 (/ 1 x)) 10) x)) 10) x)) 10) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 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 (/ 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 (/ 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 (/ 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>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((+ (* (- x 1) 1) (* (- x 1) x)) (/ -10 (+ (* (- x 1) 1) (* (- x 1) x))) (- x 1) (* (- x 1) x) (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (* (pow (+ (* x x) -1) -1) -10) (pow (+ (* x x) -1) -1) (- -1 (* x x)) (* x x) (/ 1 (* -1/10 (+ (* x x) -1))) (* -1/10 (+ (* x x) -1)) (+ (* x x) -1) (/ (/ 10 (+ 1 x)) (- 1 x)) (/ 10 (+ 1 x)) (+ 1 x) (- 1 x))

1.0ms

inf

((+ (* (- x 1) 1) (* (- x 1) x)) (/ -10 (+ (* (- x 1) 1) (* (- x 1) x))) (- x 1) (* (- x 1) x) (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (* (pow (+ (* x x) -1) -1) -10) (pow (+ (* x x) -1) -1) (- -1 (* x x)) (* x x) (/ 1 (* -1/10 (+ (* x x) -1))) (* -1/10 (+ (* x x) -1)) (+ (* x x) -1) (/ (/ 10 (+ 1 x)) (- 1 x)) (/ 10 (+ 1 x)) (+ 1 x) (- 1 x))

1.0ms

((+ (* (- x 1) 1) (* (- x 1) x)) (/ -10 (+ (* (- x 1) 1) (* (- x 1) x))) (- x 1) (* (- x 1) x) (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (* (pow (+ (* x x) -1) -1) -10) (pow (+ (* x x) -1) -1) (- -1 (* x x)) (* x x) (/ 1 (* -1/10 (+ (* x x) -1))) (* -1/10 (+ (* x x) -1)) (+ (* x x) -1) (/ (/ 10 (+ 1 x)) (- 1 x)) (/ 10 (+ 1 x)) (+ 1 x) (- 1 x))

simplify201.0ms (2.2%)

Memory

23.1MiB live, 244.1MiB allocated

Algorithm

1×	egg-herbie

Rules

18 584×	`lower-fma.f64`
18 584×	`lower-fma.f32`
4 208×	`lower-*.f64`
4 208×	`lower-*.f32`
2 270×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	1476
1	318	1459
2	814	1384
3	2403	1337
4	6473	1337
0	8831	1280

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 188

Calls

Call 1

Inputs
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
-1
(- x 1)
(- x 1)
(- x 1)
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
-10
(- (* -10 (pow x 2)) 10)
(- (* (pow x 2) (- (* -10 (pow x 2)) 10)) 10)
(- (* (pow x 2) (- (* (pow x 2) (- (* -10 (pow x 2)) 10)) 10)) 10)
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
-1
(- (* -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)) 1)) 1)
-1
(- (* -1 (pow x 2)) 1)
(- (* -1 (pow x 2)) 1)
(- (* -1 (pow x 2)) 1)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
1/10
(+ 1/10 (* -1/10 (pow x 2)))
(+ 1/10 (* -1/10 (pow x 2)))
(+ 1/10 (* -1/10 (pow x 2)))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
10
(+ 10 (* -10 x))
(+ 10 (* x (- (* 10 x) 10)))
(+ 10 (* x (- (* x (+ 10 (* -10 x))) 10)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(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))))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(/ 10 (pow x 2))
(/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (/ 10 (pow x 4)))) (pow x 2))
(/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (+ (* 10 (/ 1 (pow x 6))) (/ 10 (pow x 4))))) (pow x 2))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(* -1/10 (pow x 2))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(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))))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(/ 10 x)
(/ (- 10 (* 10 (/ 1 x))) x)
(/ (- (+ 10 (/ 10 (pow x 2))) (* 10 (/ 1 x))) x)
(/ (- (+ 10 (/ 10 (pow x 2))) (+ (* 10 (/ 1 x)) (* 10 (/ 1 (pow x 3))))) x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 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))))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(/ 10 (pow x 2))
(/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (/ 10 (pow x 4)))) (pow x 2))
(/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (+ (* 10 (/ 1 (pow x 6))) (/ 10 (pow x 4))))) (pow x 2))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(* -1/10 (pow x 2))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(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))))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(/ 10 x)
(* -1 (/ (- (* 10 (/ 1 x)) 10) x))
(* -1 (/ (- (* -1 (/ (- (* 10 (/ 1 x)) 10) x)) 10) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10 (/ 1 x)) 10) x)) 10) x)) 10) x))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))

Outputs
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
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(/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (.f64 x x))) (.f64 x x)) #s(literal 10 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/ 10 x)
(/.f64 #s(literal 10 binary64) x)
(* -1 (/ (- (* 10 (/ 1 x)) 10) x))
(/.f64 (-.f64 #s(literal 10 binary64) (/.f64 #s(literal 10 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 10 (/ 1 x)) 10) x)) 10) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64)) x) #s(literal -10 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10 (/ 1 x)) 10) x)) 10) x)) 10) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 10 binary64) (/.f64 #s(literal 10 binary64) x)) x) #s(literal 10 binary64)) x) #s(literal -10 binary64)) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* 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)

rewrite277.0ms (3%)

Memory

15.5MiB live, 454.9MiB allocated

Rules

4 430×	`lower-/.f32`
4 422×	`lower-/.f64`
4 372×	`lower-fma.f32`
4 368×	`lower-fma.f64`
3 778×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	119
0	45	112
1	192	93
2	1348	93
0	8606	93

Stop Event

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

Counts

16 → 1 686

Calls

Call 1

Inputs
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(-.f64 x #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))
(.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64))
#s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)

Outputs
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eval450.0ms (4.8%)

Memory: -34.9MiB live, 541.2MiB allocated
Compiler: Compiled 43 233 to 4 799 computations (88.9% saved)

prune52.0ms (0.6%)

Memory

-0.2MiB live, 159.8MiB allocated

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	1 989	9	1 998
Fresh	6	3	9
Picked	1	4	5
Done	0	2	2
Total	1 996	18	2 014

Accuracy

100.0%

Counts

2 014 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64))) (-.f64 x #s(literal 1 binary64)))
	18.8%	(/.f64 #s(approx (/ 10 (+ 1 x)) #s(literal 10 binary64)) (-.f64 #s(literal 1 binary64) x))
▶	89.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64)))
	99.2%	(/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/10 binary64))))
✓	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
	99.6%	(/.f64 #s(literal -10 binary64) (fma.f64 (pow.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 x #s(literal 1 binary64)) x)))
✓	99.6%	(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
▶	99.6%	(/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
	99.5%	(/.f64 #s(literal -10 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
▶	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64))
▶	9.2%	(.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64))
✓	9.2%	(.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64))
	99.2%	(.f64 #s(literal -10 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
	6.0%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 #s(literal -10 binary64) (*.f64 x x) #s(literal -10 binary64)))
✓	5.9%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))
▶	9.2%	#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64)))
✓	9.1%	#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))

Compiler

Compiled 267 to 208 computations (22.1% saved)

simplify273.0ms (2.9%)

Memory

14.4MiB live, 182.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -1/10 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64))
cost-diff	320	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64)))
cost-diff	-5760	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	6080	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
cost-diff	0	#s(approx (pow (+ (* x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
cost-diff	0	(.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
cost-diff	0	#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64)))
cost-diff	0	(*.f64 (-.f64 x #s(literal 1 binary64)) x)
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
cost-diff	512	(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))

Rules

25 182×	`lower-fma.f32`
25 174×	`lower-fma.f64`
3 944×	`lower-*.f32`
3 934×	`lower-*.f64`
2 490×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	137
0	49	148
1	82	123
2	137	123
3	249	120
4	496	120
5	1414	120
6	2582	120
7	3843	120
8	4538	120
9	4801	120
10	5133	120
11	5291	120
12	5408	120
13	5643	120
14	7341	120
0	8017	120

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(literal -10 binary64)
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64)))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
#s(literal 10 binary64)
(*.f64 x x)
x
(.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64))
#s(approx (pow (+ (* x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(neg.f64 x)
x
#s(literal -1 binary64)
#s(literal -10 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal -10 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64))
(*.f64 #s(literal -1/10 binary64) x)
#s(literal -1/10 binary64)
x
#s(literal 1/10 binary64)

Outputs
(/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -10 binary64)
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64)))
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64)))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
(fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64))
#s(literal 10 binary64)
(*.f64 x x)
x
(.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64))
#s(approx (pow (+ (* x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(neg.f64 x)
x
#s(literal -1 binary64)
#s(literal -10 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64))
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal -10 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64)))
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64))
(*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 #s(literal -1/10 binary64) x)
#s(literal -1/10 binary64)
x
#s(literal 1/10 binary64)

localize86.0ms (0.9%)

Memory

-0.8MiB live, 198.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.25	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64)))
accuracy	0.3671875	(*.f64 #s(literal -1/10 binary64) x)
accuracy	6.883032400854434	(fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.2421875	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.31640625	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64))
accuracy	0	(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
accuracy	0	(neg.f64 x)
accuracy	0.31640625	(.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64))
accuracy	58.075328198980245	#s(approx (pow (+ (* x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.1015625	(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
accuracy	58.08389004465703	#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64)))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(*.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	0.203125	(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
accuracy	0.2265625	(/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))

Samples

68.0ms

256×

valid

Compiler

Compiled 129 to 32 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 15.0ms (28% of total)

ival-mult: 12.0ms (22.4% of total)

ival-add: 7.0ms (13% of total)

ival-pow: 7.0ms (13% of total)

const: 6.0ms (11.2% of total)

ival-sub: 4.0ms (7.5% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

-12.2MiB live, 24.1MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (patch (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (.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 #s(literal 1 binary64)) x) (patch (.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64))) (patch #s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64)) (patch (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64)) (patch (.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (patch #s(approx (pow (+ (* x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #<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 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64)) #<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) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64)) (patch (fma.f64 (.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/10 binary64) x) (patch (.f64 #s(literal -1/10 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt -1 (taylor 0 x) (#s(alt (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (patch (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (patch (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (patch (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (patch (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt 10 (taylor 0 x) (#s(alt (/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* 10 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 10 (taylor 0 x) (#s(alt #s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64))) (patch #s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* 10 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64))) (patch #s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64))) (patch #s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64))) (patch #s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt 10 (taylor 0 x) (#s(alt (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64)) (patch (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* 10 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64)) (patch (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* 10 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64)) (patch (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* 10 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64)) (patch (fma.f64 #s(literal 10 binary64) (.f64 x x) #s(literal 10 binary64)) #<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 10 (taylor 0 x) (#s(alt (.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64)) (patch (.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* 10 (pow x 2))) (taylor 0 x) (#s(alt (.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64)) (patch (.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))) (taylor 0 x) (#s(alt (.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64)) (patch (.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))))) (taylor 0 x) (#s(alt (.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64)) (patch (.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (pow (+ (* x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (patch #s(approx (pow (+ (* x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (pow x 2)) 1) (taylor 0 x) (#s(alt #s(approx (pow (+ (* x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (patch #s(approx (pow (+ (* x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1) (taylor 0 x) (#s(alt #s(approx (pow (+ (* x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (patch #s(approx (pow (+ (* x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1) (taylor 0 x) (#s(alt #s(approx (pow (+ (* x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (patch #s(approx (pow (+ (* x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #<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 (pow x 2)) 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 (pow x 2)) 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 (pow x 2)) 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 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 10 (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* 10 (pow x 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2))))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64)) #<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>) () ())) ())
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#s(alt (* -1/10 x) (taylor -inf x) (#s(alt (.f64 #s(literal -1/10 binary64) x) (patch (.f64 #s(literal -1/10 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1/10 x) (taylor -inf x) (#s(alt (.f64 #s(literal -1/10 binary64) x) (patch (.f64 #s(literal -1/10 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1/10 x) (taylor -inf x) (#s(alt (.f64 #s(literal -1/10 binary64) x) (patch (.f64 #s(literal -1/10 binary64) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((+ (- x 1) (* (- x 1) x)) (/ -10 (+ (- x 1) (* (- x 1) x))) (- x 1) (* (- x 1) x) (/ (/ 10 (+ 1 x)) (- 1 x)) (+ (* 10 (* x x)) 10) (* x x) (* (pow (+ (* x x) -1) -1) -10) (pow (+ (* x x) -1) -1) (+ (* (neg x) x) -1) (neg x) (* (/ 1 (+ (* x x) -1)) -10) (+ (* x x) -1) (/ 1 (+ (* x x) -1)) (/ 1 (+ (* (* -1/10 x) x) 1/10)) (+ (* (* -1/10 x) x) 1/10) (* -1/10 x))

1.0ms

-inf

((+ (- x 1) (* (- x 1) x)) (/ -10 (+ (- x 1) (* (- x 1) x))) (- x 1) (* (- x 1) x) (/ (/ 10 (+ 1 x)) (- 1 x)) (+ (* 10 (* x x)) 10) (* x x) (* (pow (+ (* x x) -1) -1) -10) (pow (+ (* x x) -1) -1) (+ (* (neg x) x) -1) (neg x) (* (/ 1 (+ (* x x) -1)) -10) (+ (* x x) -1) (/ 1 (+ (* x x) -1)) (/ 1 (+ (* (* -1/10 x) x) 1/10)) (+ (* (* -1/10 x) x) 1/10) (* -1/10 x))

1.0ms

((+ (- x 1) (* (- x 1) x)) (/ -10 (+ (- x 1) (* (- x 1) x))) (- x 1) (* (- x 1) x) (/ (/ 10 (+ 1 x)) (- 1 x)) (+ (* 10 (* x x)) 10) (* x x) (* (pow (+ (* x x) -1) -1) -10) (pow (+ (* x x) -1) -1) (+ (* (neg x) x) -1) (neg x) (* (/ 1 (+ (* x x) -1)) -10) (+ (* x x) -1) (/ 1 (+ (* x x) -1)) (/ 1 (+ (* (* -1/10 x) x) 1/10)) (+ (* (* -1/10 x) x) 1/10) (* -1/10 x))

simplify210.0ms (2.3%)

Memory

29.6MiB live, 294.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 016×	`lower-fma.f64`
13 016×	`lower-fma.f32`
3 606×	`lower-*.f64`
3 606×	`lower-*.f32`
1 644×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1582
1	170	1582
2	475	1491
3	1425	1441
4	4660	1441
0	8099	1378

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

Calls

Call 1

Inputs
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
-1
(- x 1)
(- x 1)
(- x 1)
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* 10 (pow x 2)))
(+ 10 (* 10 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
-1
(- (* -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)) 1)) 1)
-1
(- (* -1 (pow x 2)) 1)
(- (* -1 (pow x 2)) 1)
(- (* -1 (pow x 2)) 1)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
-1
(- (* -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)) 1)) 1)
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
1/10
(+ 1/10 (* -1/10 (pow x 2)))
(+ 1/10 (* -1/10 (pow x 2)))
(+ 1/10 (* -1/10 (pow x 2)))
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(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))))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (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 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(* -1/10 (pow x 2))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(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))))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (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 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(* -1/10 (pow x 2))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)

Outputs
-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))
10
#s(literal 10 binary64)
(+ 10 (* 10 (pow x 2)))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 10 binary64) #s(literal 10 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
10
#s(literal 10 binary64)
(+ 10 (* 10 (pow x 2)))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 10 binary64) #s(literal 10 binary64)))
10
#s(literal 10 binary64)
(+ 10 (* 10 (pow x 2)))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
(+ 10 (* 10 (pow x 2)))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
(+ 10 (* 10 (pow x 2)))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
10
#s(literal 10 binary64)
(+ 10 (* 10 (pow x 2)))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 10 binary64) #s(literal 10 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (pow x 2)) 1)
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)
(-.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (pow x 2)) 1)
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(- (* -1 (pow x 2)) 1)
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(- (* -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)
10
#s(literal 10 binary64)
(+ 10 (* 10 (pow x 2)))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 10 binary64) #s(literal 10 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))
-1
#s(literal -1 binary64)
(- (* -1 (pow x 2)) 1)
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)
(-.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
10
#s(literal 10 binary64)
(+ 10 (* 10 (pow x 2)))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 10 binary64) #s(literal 10 binary64))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 10 binary64) #s(literal 10 binary64)))
1/10
#s(literal 1/10 binary64)
(+ 1/10 (* -1/10 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64))
(+ 1/10 (* -1/10 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64))
(+ 1/10 (* -1/10 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64))
(* -1/10 x)
(*.f64 #s(literal -1/10 binary64) x)
(* -1/10 x)
(*.f64 #s(literal -1/10 binary64) x)
(* -1/10 x)
(*.f64 #s(literal -1/10 binary64) x)
(* -1/10 x)
(*.f64 #s(literal -1/10 binary64) x)
(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))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (.f64 x x))) x) x) #s(literal 10 binary64)) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #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))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (.f64 x x))) x) x) #s(literal 10 binary64)) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(* 10 (pow x 2))
(.f64 #s(literal 10 binary64) (.f64 x x))
(* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
(* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
(* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (.f64 x x))) x) x) #s(literal 10 binary64)) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 x x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(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)
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (.f64 x x))) x) x) #s(literal 10 binary64)) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 x x))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (.f64 x x))) x) x) #s(literal 10 binary64)) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(* -1/10 (pow x 2))
(.f64 #s(literal -1/10 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64))
(* -1/10 x)
(*.f64 #s(literal -1/10 binary64) x)
(* -1/10 x)
(*.f64 #s(literal -1/10 binary64) x)
(* -1/10 x)
(*.f64 #s(literal -1/10 binary64) x)
(* -1/10 x)
(*.f64 #s(literal -1/10 binary64) x)
(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))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (.f64 x x))) x) x) #s(literal 10 binary64)) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (.f64 x x))) x) x) #s(literal 10 binary64)) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(* 10 (pow x 2))
(.f64 #s(literal 10 binary64) (.f64 x x))
(* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
(* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
(* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (.f64 x x))) x) x) #s(literal 10 binary64)) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 x x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(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)
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (.f64 x x))) x) x) #s(literal 10 binary64)) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 x x))
(/ -10 (pow x 2))
(/.f64 #s(literal -10 binary64) (*.f64 x x))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (.f64 x x))) x) x) #s(literal 10 binary64)) (.f64 x x))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64)) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(* -1/10 (pow x 2))
(.f64 #s(literal -1/10 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64))
(* (pow x 2) (- (* 1/10 (/ 1 (pow x 2))) 1/10))
(fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64))
(* -1/10 x)
(*.f64 #s(literal -1/10 binary64) x)
(* -1/10 x)
(*.f64 #s(literal -1/10 binary64) x)
(* -1/10 x)
(*.f64 #s(literal -1/10 binary64) x)
(* -1/10 x)
(*.f64 #s(literal -1/10 binary64) x)

rewrite256.0ms (2.8%)

Memory

-13.2MiB live, 291.4MiB allocated

Rules

4 956×	`lower-/.f32`
4 950×	`lower-/.f64`
4 764×	`lower-fma.f32`
4 756×	`lower-fma.f64`
3 790×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	121
0	49	133
1	209	105
2	1499	103
0	8391	103

Stop Event

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

Counts

17 → 1 614

Calls

Call 1

Inputs
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(-.f64 x #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64)))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64))
(*.f64 x x)
(.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64))
#s(approx (pow (+ (* x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64))
(fma.f64 x x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64)))
(fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64))
(*.f64 #s(literal -1/10 binary64) x)

Outputs
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eval1.1s (12.1%)

Memory: -34.5MiB live, 452.1MiB allocated
Compiler: Compiled 46 273 to 4 608 computations (90% saved)

prune839.0ms (9%)

Memory

10.2MiB live, 126.6MiB allocated

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	1 926	4	1 930
Fresh	1	6	7
Picked	1	4	5
Done	0	6	6
Total	1 928	20	1 948

Accuracy

100.0%

Counts

1 948 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64))) (-.f64 x #s(literal 1 binary64)))
	18.8%	(/.f64 #s(approx (/ 10 (+ 1 x)) #s(literal 10 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	89.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64)))
	99.2%	(/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/10 binary64))))
✓	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
	99.6%	(/.f64 #s(literal -10 binary64) (fma.f64 (pow.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 x #s(literal 1 binary64)) x)))
✓	99.6%	(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓	99.6%	(/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
	99.5%	(/.f64 #s(literal -10 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
✓	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64))
	99.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(literal -10 binary64))
✓	9.2%	(.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64))
	6.0%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 #s(literal -10 binary64) (*.f64 x x) #s(literal -10 binary64)))
✓	5.9%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))
	9.2%	#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 (*.f64 #s(literal 10 binary64) x) x #s(literal 10 binary64)))
✓	9.2%	#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64)))
	9.2%	#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (+.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) #s(literal 10 binary64)))
	9.2%	#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 10 binary64)))
✓	9.1%	#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))

Compiler

Compiled 477 to 226 computations (52.6% saved)

regimes53.0ms (0.6%)

Memory

10.0MiB live, 53.8MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))
#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))
#s(approx (/ 10 (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64)))
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 10 binary64)))
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64)))
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 (*.f64 #s(literal 10 binary64) x) x #s(literal 10 binary64)))
#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 #s(literal -10 binary64) (*.f64 x x) #s(literal -10 binary64)))
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (+.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) #s(literal 10 binary64)))
(.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64))
(.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64))
(/.f64 #s(approx (/ 10 (+ 1 x)) #s(literal 10 binary64)) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x)))
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64))
(/.f64 #s(literal -10 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -10 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64)))
(/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(.f64 #s(literal -10 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(literal -10 binary64))
(/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/10 binary64))))
(/.f64 #s(literal -10 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 #s(literal -10 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/10 binary64))
(/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64))
(.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -10 binary64))
(/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/10 binary64))
(pow.f64 (.f64 (.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(/.f64 #s(literal -10 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -10 binary64) (fma.f64 (pow.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 x #s(literal 1 binary64)) x)))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))

Outputs
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))

Calls

4 calls:

21.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
10.0ms	(*.f64 x x)
10.0ms	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
10.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.6%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes51.0ms (0.5%)

Memory

-4.5MiB live, 32.9MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))
#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))
#s(approx (/ 10 (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64)))
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 10 binary64)))
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64)))
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 (*.f64 #s(literal 10 binary64) x) x #s(literal 10 binary64)))
#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 #s(literal -10 binary64) (*.f64 x x) #s(literal -10 binary64)))
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (+.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) #s(literal 10 binary64)))
(.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64))
(.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64))
(/.f64 #s(approx (/ 10 (+ 1 x)) #s(literal 10 binary64)) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x)))

Outputs
(/.f64 #s(approx (/ 10 (+ 1 x)) #s(literal 10 binary64)) (-.f64 #s(literal 1 binary64) x))

Calls

4 calls:

37.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
4.0ms	(*.f64 x x)
4.0ms	x

Results

Accuracy	Segments	Branch
18.8%	1	`x`
18.8%	1	`(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
18.8%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
18.8%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes50.0ms (0.5%)

Memory

6.1MiB live, 43.7MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))
#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))
#s(approx (/ 10 (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64)))
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 10 binary64)))
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64)))
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 (*.f64 #s(literal 10 binary64) x) x #s(literal 10 binary64)))
#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 #s(literal -10 binary64) (*.f64 x x) #s(literal -10 binary64)))
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (+.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) #s(literal 10 binary64)))
(.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64))
(.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64))

Outputs

#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 #s(literal -10 binary64) (*.f64 x x) #s(literal -10 binary64)))

#s(approx (/ 10 (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64)))

Calls

4 calls:

38.0ms	x
4.0ms	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
4.0ms	(*.f64 x x)
4.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))

Results

Accuracy	Segments	Branch
13.7%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
13.7%	2	`(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
13.7%	2	`x`
13.7%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes43.0ms (0.5%)

Memory

-20.8MiB live, 18.4MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))
#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))
#s(approx (/ 10 (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64)))
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 10 binary64)))
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(literal 10 binary64)))
#s(approx (/ (/ 10 (+ 1 x)) (- 1 x)) (fma.f64 (*.f64 #s(literal 10 binary64) x) x #s(literal 10 binary64)))

Outputs

#s(approx (/ 10 (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64)))

#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))

Calls

4 calls:

35.0ms	x
3.0ms	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
13.6%	2	`x`
13.6%	2	`(*.f64 x x)`
13.6%	2	`(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
13.6%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))
#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))

Outputs
#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))
#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))

Calls

4 calls:

2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	(*.f64 x x)
1.0ms	x

Results

Accuracy	Segments	Branch
13.5%	2	`(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
13.5%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
13.5%	2	`x`
13.5%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))

Outputs
#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))

Calls

4 calls:

1.0ms	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(*.f64 x x)
1.0ms	x

Results

Accuracy	Segments	Branch
9.1%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
9.1%	1	`(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
9.1%	1	`x`
9.1%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.625909759807371e-7	1.4900337806711406e-5

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999850996621933	1.000000862590976

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.9999850996621933	1.000000862590976

Compiler

Compiled 10 to 10 computations (0% saved)

simplify36.0ms (0.4%)

Memory

-16.3MiB live, 31.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`-commutative-binary64-.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	145
1	44	145
2	51	145
3	55	145
4	57	145

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (/ 10 (+ 1 x)) #s(literal 10 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -4722366482869645/9444732965739290427392 binary64)) #s(approx (pow ( (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 #s(literal -10 binary64) (.f64 x x) #s(literal -10 binary64))) #s(approx (/ 10 (- 1 ( x x))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 1 binary64)) #s(approx (/ 10 (- 1 ( x x))) (fma.f64 (.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64))) #s(approx (pow ( (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 1 binary64)) #s(approx (/ 10 (- 1 ( x x))) #s(literal 10 binary64)) #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64)))
#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))

Outputs
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (/ 10 (+ 1 x)) #s(literal 10 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -4722366482869645/9444732965739290427392 binary64)) #s(approx (pow ( (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 #s(literal -10 binary64) (.f64 x x) #s(literal -10 binary64))) #s(approx (/ 10 (- 1 ( x x))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 1 binary64)) #s(approx (/ 10 (- 1 ( x x))) (fma.f64 (.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64))) #s(approx (pow ( (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 1 binary64)) #s(approx (/ 10 (- 1 ( x x))) #s(literal 10 binary64)) #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64)))
#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))

soundness1.1s (11.5%)

Memory

4.6MiB live, 605.9MiB allocated

Rules

18 584×	`lower-fma.f64`
18 584×	`lower-fma.f32`
18 534×	`lower-fma.f64`
18 534×	`lower-fma.f32`
11 502×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	257
1	78	248
2	232	234
3	661	226
4	1912	226
5	5318	226
0	8121	221
0	6	15
0	9	15
1	39	15
2	229	15
3	1776	15
0	9479	13
0	89	1289
1	197	1289
2	523	1227
3	1327	1182
4	4127	1174
0	8194	1118
0	21	88
0	30	72
1	119	70
2	718	70
0	8737	70
0	122	1476
1	318	1459
2	814	1384
3	2403	1337
4	6473	1337
0	8831	1280

Stop Event

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

Compiler

Compiled 94 to 54 computations (42.6% saved)

preprocess65.0ms (0.7%)

Memory: -11.6MiB live, 186.9MiB allocated
Remove: (abs x)
Compiler: Compiled 148 to 70 computations (52.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0%)

sample1.1s (12.1%)

explain80.0ms (0.9%)

preprocess416.0ms (4.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify360.0ms (3.9%)

localize18.0ms (0.2%)

series2.0ms (0%)

simplify180.0ms (1.9%)

rewrite139.0ms (1.5%)

eval101.0ms (1.1%)

prune39.0ms (0.4%)

simplify172.0ms (1.8%)

localize86.0ms (0.9%)

series12.0ms (0.1%)

simplify197.0ms (2.1%)

rewrite148.0ms (1.6%)

eval649.0ms (7%)

prune51.0ms (0.5%)

simplify203.0ms (2.2%)

localize145.0ms (1.6%)

series12.0ms (0.1%)

simplify201.0ms (2.2%)

rewrite277.0ms (3%)

eval450.0ms (4.8%)

prune52.0ms (0.6%)

simplify273.0ms (2.9%)

localize86.0ms (0.9%)

series13.0ms (0.1%)

simplify210.0ms (2.3%)

rewrite256.0ms (2.8%)

eval1.1s (12.1%)

prune839.0ms (9%)

regimes53.0ms (0.6%)

regimes51.0ms (0.5%)

regimes50.0ms (0.5%)

regimes43.0ms (0.5%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify36.0ms (0.4%)

soundness1.1s (11.5%)

preprocess65.0ms (0.7%)

end0.0ms (0%)

Profiling