Metrics for ENA, Section 1.4, Mentioned, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB 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)

sample1.6s (19.6%)

Memory

39.0MiB live, 1 473.0MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

const: 726.0ms (61.4% of total)

ival-<=: 200.0ms (16.9% of total)

ival-mult: 113.0ms (9.6% of total)

ival-div: 78.0ms (6.6% of total)

ival-sub: 43.0ms (3.6% of total)

ival-and: 11.0ms (0.9% of total)

exact: 7.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain104.0ms (1.3%)

Memory

-50.9MiB live, 138.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
247	9	(1.0008736947651953)	-	`(-.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 -
+	246	0
-	10	0

Precision

0.9609375

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	246	0	0
-	10	0	0

Precision?

0.9609375

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

32.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 7.0ms (52.1% of total)

ival-div: 3.0ms (22.3% of total)

ival-sub: 2.0ms (14.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess416.0ms (5.1%)

Memory

14.7MiB live, 278.3MiB 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: 0.4MiB live, 0.4MiB 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
▶	87.6%	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify362.0ms (4.4%)

Memory

-1.9MiB live, 237.5MiB 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

localize15.0ms (0.2%)

Memory

28.9MiB live, 28.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.22265625	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	7.9678769092318715	(-.f64 #s(literal 1 binary64) (*.f64 x x))

Samples

10.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (38% of total)

ival-mult: 2.0ms (38% of total)

ival-sub: 1.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

4.1MiB live, 4.1MiB 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))
1.0ms	x	@	0	((/ 10 (- 1 (* x x))) (- 1 (* x x)) (* x x))
0.0ms	x	@	-inf	((/ 10 (- 1 (* x x))) (- 1 (* x x)) (* x x))

simplify188.0ms (2.3%)

Memory

-21.4MiB live, 135.6MiB 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)

rewrite136.0ms (1.7%)

Memory

6.1MiB live, 199.8MiB 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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eval55.0ms (0.7%)

Memory: 12.1MiB live, 95.7MiB allocated
Compiler: Compiled 10 924 to 1 271 computations (88.4% saved)

prune15.0ms (0.2%)

Memory

1.5MiB live, 39.7MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	429	11	440
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	430	11	441

Accuracy

99.9%

Counts

441 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.2%	(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))
▶	69.9%	(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))
	99.6%	(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -10 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal -1 binary64)))
	91.0%	(/.f64 #s(literal 10 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)) (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))))
	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
▶	99.7%	(/.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))
	10.0%	#s(approx (/ 10 (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64)))
▶	5.1%	#s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x)))
▶	9.9%	#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))

Compiler

Compiled 284 to 182 computations (35.9% saved)

simplify160.0ms (2%)

Memory

-4.9MiB 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)

localize58.0ms (0.7%)

Memory

21.4MiB live, 93.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.13671875	(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	0.4225387695368841	(*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.521816259768442	(.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	0.28515625	(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -10 binary64))
accuracy	0.296875	(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.24609375	(/.f64 #s(literal -10 binary64) (*.f64 x x))
accuracy	60.72490603169775	#s(approx (/ 10 (- 1 (* x x))) (/.f64 #s(literal -10 binary64) (*.f64 x x)))
accuracy	57.6728883495039	#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.22265625	(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))

Samples

46.0ms

256×

valid

Compiler

Compiled 114 to 20 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-pow: 10.0ms (31.9% of total)

ival-div: 8.0ms (25.5% of total)

ival-mult: 7.0ms (22.3% of total)

const: 4.0ms (12.8% 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)

series8.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB 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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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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(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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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

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)))

1.0ms

-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)))

simplify249.0ms (3%)

Memory

-31.6MiB live, 213.4MiB 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))

rewrite136.0ms (1.7%)

Memory

24.6MiB live, 217.2MiB 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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eval602.0ms (7.4%)

Memory: -151.5MiB live, 547.7MiB allocated
Compiler: Compiled 38 553 to 4 140 computations (89.3% saved)

prune48.0ms (0.6%)

Memory

-1.1MiB live, 154.8MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	1 962	9	1 971
Fresh	4	2	6
Picked	3	2	5
Done	0	0	0
Total	1 969	13	1 982

Accuracy

100.0%

Counts

1 982 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.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 x x #s(literal -1 binary64))) #s(literal 1/10 binary64))
	99.3%	(/.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))))
▶	99.5%	(/.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)))
✓	99.7%	(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
	99.4%	(/.f64 #s(literal -10 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
▶	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64))
	10.0%	(.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64))
▶	5.2%	#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)))
▶	5.1%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))
	10.0%	#s(approx (/ 10 (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64)))
✓	9.9%	#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))

Compiler

Compiled 182 to 144 computations (20.9% saved)

simplify247.0ms (3%)

Memory

-31.2MiB live, 202.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 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	320	(/.f64 #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	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (fma.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 (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)))
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

17 530×	`lower-fma.f32`
17 524×	`lower-fma.f64`
4 370×	`lower-+.f64`
4 370×	`lower-+.f32`
2 642×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	128
0	37	126
1	74	108
2	192	108
3	1031	108
4	2383	108
5	5479	108
0	8294	108

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

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

localize65.0ms (0.8%)

Memory

4.4MiB live, 80.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.21484375	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
accuracy	0.4225387695368841	(*.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	0.28515625	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -10 binary64))
accuracy	0.30078125	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.08203125	(fma.f64 #s(literal -10 binary64) (*.f64 x x) #s(literal -10 binary64))
accuracy	63.01127470886701	#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)))
accuracy	63.01057575583609	#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	0.22265625	(/.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)))
accuracy	0.26171875	(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))

Samples

43.0ms

256×

valid

Compiler

Compiled 134 to 23 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 11.0ms (35.9% of total)

ival-div: 5.0ms (16.3% of total)

ival-pow: 5.0ms (16.3% of total)

const: 4.0ms (13.1% of total)

ival-add: 3.0ms (9.8% of total)

ival-sub: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

13 → 156

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 #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))) (patch #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))) #<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 (/.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 (/.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 (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) (.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>) () ())

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

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

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

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

simplify426.0ms (5.2%)

Memory

-10.4MiB live, 104.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 978×	`lower-fma.f64`
10 978×	`lower-fma.f32`
3 778×	`lower-*.f64`
3 778×	`lower-*.f32`
1 396×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1298
1	192	1298
2	550	1250
3	1443	1205
4	4558	1205
0	8345	1145

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 154

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

rewrite238.0ms (2.9%)

Memory

-2.9MiB live, 242.7MiB allocated

Rules

8 880×	`lower-fma.f32`
8 874×	`lower-fma.f64`
4 960×	`lower-*.f32`
4 952×	`lower-*.f64`
2 958×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	110
0	37	99
1	160	76
2	1040	76
0	8731	76

Stop Event

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

Counts

13 → 1 210

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

Outputs
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eval303.0ms (3.7%)

Memory: 71.6MiB live, 625.4MiB allocated
Compiler: Compiled 34 221 to 3 542 computations (89.6% saved)

prune51.0ms (0.6%)

Memory

-10.3MiB live, 142.8MiB allocated

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	1 698	10	1 708
Fresh	3	3	6
Picked	1	4	5
Done	0	2	2
Total	1 702	19	1 721

Accuracy

100.0%

Counts

1 721 → 19

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 x #s(literal -1 binary64)))
	99.4%	(/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
	89.5%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64)))
▶	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
✓	99.7%	(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
▶	99.5%	(/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
	99.4%	(/.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))
▶	10.0%	(.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64))
	10.0%	(.f64 #s(approx (/ 1 (+ ( x x) -1)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64))
▶	5.2%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64)))
✓	5.2%	#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)))
	5.2%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (+.f64 (.f64 (.f64 x x) #s(literal -10 binary64)) #s(literal -10 binary64)))
	5.2%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -10 binary64)))
▶	5.1%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x))))
✓	5.1%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))
	10.0%	#s(approx (/ 10 (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64)))
✓	9.9%	#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))

Compiler

Compiled 249 to 202 computations (18.9% saved)

simplify254.0ms (3.1%)

Memory

-12.1MiB live, 276.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64))
cost-diff	192	(*.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 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	(*.f64 #s(literal -10 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
cost-diff	0	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 (*.f64 #s(literal -10 binary64) x) x #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 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x)))
cost-diff	0	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x))))
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

18 206×	`lower-fma.f32`
18 202×	`lower-fma.f64`
4 644×	`lower-*.f32`
4 632×	`lower-*.f64`
2 392×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	187
0	47	182
1	91	170
2	209	169
3	1042	169
4	3330	169
5	6684	169
0	8360	159

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

localize120.0ms (1.5%)

Memory

17.9MiB live, 139.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.21484375	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy	0.25	(*.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.39453125	(fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.26171875	(-.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy	0.28515625	(.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64))
accuracy	57.5611787218693	#s(approx (pow (+ (* x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
accuracy	0	(*.f64 #s(literal -10 binary64) x)
accuracy	0.11328125	(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
accuracy	63.01127470886701	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.2578125	(.f64 #s(literal -10 binary64) (.f64 x x))
accuracy	52.000357908777524	#s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x)))
accuracy	63.01127470886701	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x))))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(*.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	0.22265625	(/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
accuracy	0.26171875	(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))

Samples

101.0ms

256×

valid

Compiler

Compiled 154 to 29 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 58.0ms (67.1% of total)

ival-pow: 12.0ms (13.9% of total)

ival-add: 6.0ms (6.9% of total)

ival-div: 4.0ms (4.6% of total)

const: 4.0ms (4.6% of total)

ival-sub: 3.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory

-18.1MiB live, 17.2MiB 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 (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x)))) (patch #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (+ (* -10 (* x x)) -10) (.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 #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 (.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))) (patch #s(approx (pow ( (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64)) (patch (fma.f64 (.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -10 binary64) x) (patch (.f64 #s(literal -10 binary64) x) #<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 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (patch (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) #<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 (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x)))) (patch #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x)))) #<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(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x)))) (patch #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x)))) #<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(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x)))) (patch #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x)))) #<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(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x)))) (patch #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt -10 (taylor 0 x) (#s(alt #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* -10 (pow x 2)) 10) (taylor 0 x) (#s(alt #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* -10 (pow x 2)) 10) (taylor 0 x) (#s(alt #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* -10 (pow x 2)) 10) (taylor 0 x) (#s(alt #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x))) (patch #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 (.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))) (patch #s(approx (pow ( (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (/ 10 (pow x 4)))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 (.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))) (patch #s(approx (pow ( (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 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 #s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 (.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))) (patch #s(approx (pow ( (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -10 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64)) (patch (fma.f64 (.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64)) (patch (fma.f64 (.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64)) (patch (fma.f64 (.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64)) (patch (fma.f64 (.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -10 x) (taylor -inf x) (#s(alt (.f64 #s(literal -10 binary64) x) (patch (.f64 #s(literal -10 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -10 x) (taylor -inf x) (#s(alt (.f64 #s(literal -10 binary64) x) (patch (.f64 #s(literal -10 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -10 x) (taylor -inf x) (#s(alt (.f64 #s(literal -10 binary64) x) (patch (.f64 #s(literal -10 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -10 x) (taylor -inf x) (#s(alt (.f64 #s(literal -10 binary64) x) (patch (.f64 #s(literal -10 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -10 (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 (/ (+ 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 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (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 (/ (+ 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 (/ -10 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 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 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 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 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 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 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/10 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 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 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 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 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 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 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/10 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (patch (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/10 (* 1/10 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (patch (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/10 (* 1/10 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (patch (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/10 (* 1/10 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (patch (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify162.0ms (2%)

Memory

38.0MiB live, 187.4MiB allocated

Algorithm

1×	egg-herbie

Rules

17 276×	`lower-fma.f64`
17 276×	`lower-fma.f32`
4 446×	`lower-*.f64`
4 446×	`lower-*.f32`
1 694×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1531
1	227	1531
2	670	1474
3	1911	1429
4	5606	1429
0	8227	1360

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 (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 (pow x 2)) 10)
(- (* -10 (pow x 2)) 10)
(- (* -10 (pow x 2)) 10)
(* -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 (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 (pow x 2)) 10)
(- (* -10 (pow x 2)) 10)
(- (* -10 (pow x 2)) 10)
(* -10 x)
(* -10 x)
(* -10 x)
(* -10 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
(- (* -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)
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
(- (* -1/10 x) 1/10)
(- (* -1/10 x) 1/10)
(- (* -1/10 x) 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))
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 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (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))
(/ (+ 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 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(* -10 x)
(* -10 x)
(* -10 x)
(* -10 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))
(/ 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)))))
(/ -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 (* x (+ 1/10 (* 1/10 (/ 1 x)))))
(* -1 (* x (+ 1/10 (* 1/10 (/ 1 x)))))
(* -1 (* x (+ 1/10 (* 1/10 (/ 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
(* -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 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (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))
(/ (+ 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 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(* -10 x)
(* -10 x)
(* -10 x)
(* -10 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))
(/ 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)))))
(/ -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 (* x (+ 1/10 (* 1/10 (/ 1 x)))))
(* -1 (* x (+ 1/10 (* 1/10 (/ 1 x)))))
(* -1 (* x (+ 1/10 (* 1/10 (/ 1 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 (pow x 2)) 10)
(fma.f64 (*.f64 #s(literal -10 binary64) 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 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64)))
-10
#s(literal -10 binary64)
(- (* -10 (pow x 2)) 10)
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
(- (* -10 (pow x 2)) 10)
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
(- (* -10 (pow x 2)) 10)
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 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 (pow x 2)) 10)
(fma.f64 (*.f64 #s(literal -10 binary64) 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 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64)))
-10
#s(literal -10 binary64)
(- (* -10 (pow x 2)) 10)
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
(- (* -10 (pow x 2)) 10)
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
(- (* -10 (pow x 2)) 10)
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
(* -10 x)
(*.f64 #s(literal -10 binary64) x)
(* -10 x)
(*.f64 #s(literal -10 binary64) x)
(* -10 x)
(*.f64 #s(literal -10 binary64) x)
(* -10 x)
(*.f64 #s(literal -10 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)))
-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))
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 #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))
-1/10
#s(literal -1/10 binary64)
(- (* -1/10 x) 1/10)
(fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64))
(- (* -1/10 x) 1/10)
(fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64))
(- (* -1/10 x) 1/10)
(fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 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 (-.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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 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))
(/ (+ 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 #s(literal 10 binary64) x) (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (+ (* 10 (/ 1 (pow x 6))) (/ 10 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64))) (.f64 x x))
(* -10 (pow x 2))
(.f64 #s(literal -10 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 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))
(/ (+ 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 #s(literal 10 binary64) x) (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (+ (* 10 (/ 1 (pow x 6))) (/ 10 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64))) (.f64 x x))
(* -10 (pow x 2))
(.f64 #s(literal -10 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
(* -10 x)
(*.f64 #s(literal -10 binary64) x)
(* -10 x)
(*.f64 #s(literal -10 binary64) x)
(* -10 x)
(*.f64 #s(literal -10 binary64) x)
(* -10 x)
(*.f64 #s(literal -10 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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 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 #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 (+ (/ 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 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 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))
(/ -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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 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))
(* -1/10 x)
(*.f64 #s(literal -1/10 binary64) x)
(* -1 (* x (+ 1/10 (* 1/10 (/ 1 x)))))
(fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64))
(* -1 (* x (+ 1/10 (* 1/10 (/ 1 x)))))
(fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64))
(* -1 (* x (+ 1/10 (* 1/10 (/ 1 x)))))
(fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 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 (-.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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 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))
(/ (+ 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 #s(literal 10 binary64) x) (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (+ (* 10 (/ 1 (pow x 6))) (/ 10 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64))) (.f64 x x))
(* -10 (pow x 2))
(.f64 #s(literal -10 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 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))
(/ (+ 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 #s(literal 10 binary64) x) (/.f64 (-.f64 #s(literal -10 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (+ 10 (+ (* 10 (/ 1 (pow x 2))) (+ (* 10 (/ 1 (pow x 6))) (/ 10 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 10 binary64) (.f64 x x)) #s(literal -10 binary64))) (.f64 x x))
(* -10 (pow x 2))
(.f64 #s(literal -10 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
(* -1 (* (pow x 2) (+ 10 (* 10 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64))
(* -10 x)
(*.f64 #s(literal -10 binary64) x)
(* -10 x)
(*.f64 #s(literal -10 binary64) x)
(* -10 x)
(*.f64 #s(literal -10 binary64) x)
(* -10 x)
(*.f64 #s(literal -10 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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 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 #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 (+ (/ 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 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 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))
(/ -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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 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))
(* -1/10 x)
(*.f64 #s(literal -1/10 binary64) x)
(* -1 (* x (+ 1/10 (* 1/10 (/ 1 x)))))
(fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64))
(* -1 (* x (+ 1/10 (* 1/10 (/ 1 x)))))
(fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64))
(* -1 (* x (+ 1/10 (* 1/10 (/ 1 x)))))
(fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64))

rewrite289.0ms (3.5%)

Memory

-22.8MiB live, 284.4MiB allocated

Rules

4 850×	`lower-fma.f32`
4 846×	`lower-fma.f64`
3 854×	`lower-/.f32`
3 850×	`lower-/.f64`
3 806×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	168
0	47	154
1	205	138
2	1342	138
0	8450	132

Stop Event

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

Counts

17 → 668

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

Outputs
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eval232.0ms (2.8%)

Memory: -1.2MiB live, 375.6MiB allocated
Compiler: Compiled 19 603 to 2 764 computations (85.9% saved)

prune83.0ms (1%)

Memory

-47.7MiB live, 115.8MiB allocated

Pruning

20 alts after pruning (9 fresh and 11 done)

	Pruned	Kept	Total
New	1 023	2	1 025
Fresh	1	7	8
Picked	0	5	5
Done	0	6	6
Total	1 024	20	1 044

Accuracy

100.0%

Counts

1 044 → 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 x #s(literal -1 binary64)))
	99.4%	(/.f64 (/.f64 #s(literal 10 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
	89.5%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/10 binary64) x) x #s(literal 1/10 binary64)))
✓	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/10 binary64) (fma.f64 x x #s(literal -1 binary64))))
✓	99.7%	(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓	99.5%	(/.f64 #s(literal -10 binary64) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
	99.4%	(/.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))
	10.0%	(.f64 #s(approx (pow (+ ( x x) -1) -1) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -10 binary64))
✓	10.0%	(.f64 #s(approx (pow (+ ( x x) -1) -1) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -10 binary64))
✓	5.2%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (fma.f64 (*.f64 #s(literal -10 binary64) x) x #s(literal -10 binary64)))
✓	5.2%	#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)))
	5.2%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (+.f64 (.f64 (.f64 x x) #s(literal -10 binary64)) #s(literal -10 binary64)))
	5.2%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -10 binary64)))
	5.1%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 (.f64 #s(literal -10 binary64) x) x)))
✓	5.1%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x))))
✓	5.1%	#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(literal -10 binary64))
	10.0%	#s(approx (/ 10 (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal 10 binary64) #s(literal 10 binary64)))
✓	9.9%	#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))

Compiler

Compiled 468 to 230 computations (50.9% saved)

regimes44.0ms (0.5%)

Memory

0.6MiB live, 77.7MiB allocated

Counts

33 → 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 (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x))))
#s(approx (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 (.f64 #s(literal -10 binary64) x) x)))
#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) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #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 (pow (* (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (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) (+.f64 (.f64 (.f64 x x) #s(literal -10 binary64)) #s(literal -10 binary64)))
(.f64 #s(approx (/ 1 (+ ( x x) -1)) (fma.f64 (neg.f64 x) x #s(literal -1 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))
#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 1 binary64) (*.f64 (fma.f64 #s(literal -1/10 binary64) x #s(literal -1/10 binary64)) (-.f64 x #s(literal 1 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 10 binary64) (-.f64 #s(literal 1 binary64) x)) (-.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 (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))
(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))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -10 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 10 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)) (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))))

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

Calls

4 calls:

14.0ms	x
11.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
9.0ms	(*.f64 x x)
9.0ms	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.7%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.7%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes48.0ms (0.6%)

Memory

3.1MiB live, 40.6MiB allocated

Counts

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

Outputs

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

34.0ms	x
4.0ms	(-.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)

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes10.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes36.0ms (0.4%)

Memory

-17.2MiB live, 20.6MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

29.0ms	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	x
2.0ms	(*.f64 x 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)

regimes7.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB 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 (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))

Calls

4 calls:

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

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes8.0ms (0.1%)

Memory

-19.7MiB live, 17.1MiB 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:

3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
9.9%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
9.9%	1	`x`
9.9%	1	`(*.f64 x x)`
9.9%	1	`(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.7799967200193834e-6	9.130635337140092e-6

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999908693646629	1.00000177999672

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5107.172948829406	5017.696383761001

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch14.0ms (0.2%)

Memory

31.0MiB live, 31.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-5107.172948829406	5017.696383761001

Samples

4.0ms

256×

valid

Compiler

Compiled 74 to 138 computations (-86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

simplify33.0ms (0.4%)

Memory

-11.9MiB live, 64.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`-commutative-binary64-.f64`
6×	`+-commutative-binary64-+.f64`
6×	`sub-neg-binary64-neg.f64-+.f64--.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	42	200
1	52	200
2	58	200
3	62	200
4	64	200

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -4722366482869645/4722366482869645213696 binary64)) #s(approx (pow ( (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (.f64 (fma.f64 x x #s(literal 1 binary64)) #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(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x)))))
(if (<=.f64 (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -5000 binary64)) #s(approx (pow ( (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x)))) #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)))
(if (<=.f64 (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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)))
#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))

Outputs
(/.f64 #s(literal -10 binary64) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -4722366482869645/4722366482869645213696 binary64)) #s(approx (pow ( (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) (.f64 (fma.f64 x x #s(literal 1 binary64)) #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(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x)))))
(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(approx (+ (* -10 (* x x)) -10) (.f64 (.f64 x x) #s(literal -10 binary64)))))
(if (<=.f64 (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -5000 binary64)) #s(approx (pow ( (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 #s(literal -10 binary64) (.f64 x x)))) #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)))
(if (<=.f64 (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -5000 binary64)) #s(approx (pow ( (* -1/10 (+ (* x x) -1)) (* -1/10 (+ (* x x) -1))) -1/2) #s(approx (+ (* -10 (* x x)) -10) (.f64 (.f64 x x) #s(literal -10 binary64)))) #s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64)))
(if (<=.f64 (/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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)))
#s(approx (/ 10 (- 1 (* x x))) #s(literal 10 binary64))

soundness1.2s (15%)

Memory

-6.4MiB live, 559.5MiB allocated

Rules

18 534×	`lower-fma.f64`
18 534×	`lower-fma.f32`
11 502×	`lower-fma.f64`
11 502×	`lower-fma.f32`
10 978×	`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	84	1298
1	192	1298
2	550	1250
3	1443	1205
4	4558	1205
0	8345	1145
0	24	110
0	37	99
1	160	76
2	1040	76
0	8731	76
0	89	1289
1	197	1289
2	523	1227
3	1327	1182
4	4127	1174
0	8194	1118

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 124 to 66 computations (46.8% saved)

preprocess75.0ms (0.9%)

Memory: -13.1MiB live, 104.7MiB allocated
Remove: (abs x)
Compiler: Compiled 192 to 84 computations (56.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample1.6s (19.6%)

explain104.0ms (1.3%)

preprocess416.0ms (5.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify362.0ms (4.4%)

localize15.0ms (0.2%)

series3.0ms (0%)

simplify188.0ms (2.3%)

rewrite136.0ms (1.7%)

eval55.0ms (0.7%)

prune15.0ms (0.2%)

simplify160.0ms (2%)

localize58.0ms (0.7%)

series8.0ms (0.1%)

simplify249.0ms (3%)

rewrite136.0ms (1.7%)

eval602.0ms (7.4%)

prune48.0ms (0.6%)

simplify247.0ms (3%)

localize65.0ms (0.8%)

series8.0ms (0.1%)

simplify426.0ms (5.2%)

rewrite238.0ms (2.9%)

eval303.0ms (3.7%)

prune51.0ms (0.6%)

simplify254.0ms (3.1%)

localize120.0ms (1.5%)

series31.0ms (0.4%)

simplify162.0ms (2%)

rewrite289.0ms (3.5%)

eval232.0ms (2.8%)

prune83.0ms (1%)

regimes44.0ms (0.5%)

regimes48.0ms (0.6%)

regimes10.0ms (0.1%)

regimes36.0ms (0.4%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

simplify33.0ms (0.4%)

soundness1.2s (15%)

preprocess75.0ms (0.9%)

end0.0ms (0%)

Profiling