Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.1s (16.9%)

Memory

24.9MiB live, 1 685.9MiB allocated

Samples

790.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 423.0ms

ival-mult: 284.0ms (67.2% of total)

ival-add: 124.0ms (29.3% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain138.0ms (2.2%)

Memory

-13.9MiB live, 223.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
-	-	`(*.f64 x #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
-	-	`(*.f64 y y)`
-	-	`(*.f64 x x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

34.0ms

512×

valid

Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (63.9% of total)

ival-add: 4.0ms (25.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess167.0ms (2.7%)

Memory

12.7MiB live, 101.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	82	49
2	273	46
3	562	45
4	1065	45
5	1419	45
6	1863	45
7	2407	45
8	3302	45
9	4160	45
10	4778	45
11	4920	45
12	4980	45
13	5010	45
14	5010	45
15	5250	45
16	5682	45
17	5682	45
18	5682	45
0	8	11
0	13	9
1	34	9
2	108	9
3	259	9
4	418	9
5	543	9
6	677	9
7	840	9
8	1390	9
9	1668	9
10	1942	9
11	2018	9
12	2112	9
13	2130	9
0	2130	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Outputs
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))

Symmetry

(abs y)

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify111.0ms (1.8%)

Memory

-20.9MiB live, 54.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	1	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
cost-diff	2	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	13	26
1	34	26
2	108	26
3	259	26
4	418	26
5	543	26
6	677	26
7	840	26
8	1390	26
9	1668	26
10	1942	26
11	2018	26
12	2112	26
13	2130	26
0	2130	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 y y)
y

Outputs
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 y y)
y

localize37.0ms (0.6%)

Memory

14.0MiB live, 66.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.0078125	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Samples

30.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 20.0ms (88.1% of total)

ival-add: 2.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-20.2MiB live, 24.8MiB allocated

Counts

5 → 12

Calls

Call 1

Inputs
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
1.0ms	x	@	inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
1.0ms	x	@	-inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
1.0ms	y	@	inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
1.0ms	y	@	-inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))

simplify150.0ms (2.4%)

Memory

-2.7MiB live, 283.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	104
1	109	98
2	389	94
3	2091	88
0	8681	84

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite166.0ms (2.7%)

Memory

36.2MiB live, 264.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	23
1	61	23
2	554	23
0	9427	22

Stop Event

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

Counts

5 → 373

Calls

Call 1

Inputs
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)

Outputs
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 x x))))))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) x (.f64 x x)))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 2 binary64) x) x))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (+.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) x))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (+.f64 #s(literal 2 binary64) x)))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(.f64 (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)))
(*.f64 x (-.f64 x #s(literal -2 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (neg.f64 x)))
(*.f64 x (-.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) x)) x)
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)))) (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)))) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))))))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (+.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 9 binary64))) (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) (.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) x (.f64 x x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
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(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (.f64 (neg.f64 y) y)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (.f64 y y)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (.f64 y y)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (.f64 (neg.f64 y) y)))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))))
(+.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 (neg.f64 y) y) (.f64 (-.f64 #s(literal 2 binary64) x) x))
(+.f64 (.f64 y y) (.f64 (-.f64 #s(literal 2 binary64) x) x))
(+.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 (neg.f64 y) y))
(+.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 y y))
(+.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) x (.f64 (neg.f64 y) y)))
(+.f64 (.f64 x x) (fma.f64 y y (.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 x) x (.f64 y y)))
(+.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 y y (.f64 x x)))
(+.f64 x (-.f64 x (fma.f64 y y (*.f64 x x))))
(+.f64 x (-.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))))
(+.f64 x (+.f64 x (fma.f64 y y (*.f64 x x))))
(+.f64 x (+.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 x x (-.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 x x)))
(fabs.f64 (*.f64 #s(literal -2 binary64) x))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))

eval92.0ms (1.5%)

Memory: -28.5MiB live, 171.4MiB allocated
Compiler: Compiled 10 092 to 955 computations (90.5% saved)

prune9.0ms (0.1%)

Memory

-15.7MiB live, 29.1MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	378	4	382
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	379	4	383

Accuracy

100.0%

Counts

383 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.3%	(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
▶	71.6%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
▶	56.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
▶	51.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))

Compiler

Compiled 60 to 41 computations (31.7% saved)

simplify646.0ms (10.4%)

Memory

161.2MiB live, 433.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(-.f64 x y)
cost-diff	0	(+.f64 x y)
cost-diff	1	(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
cost-diff	0	(+.f64 #s(literal 2 binary64) x)
cost-diff	0	(*.f64 (+.f64 #s(literal 2 binary64) x) x)
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	98
0	28	92
1	64	91
2	204	91
3	628	91
4	1239	91
5	2613	91
6	4778	91
0	8066	88

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
#s(literal 2 binary64)
x
(*.f64 y y)
y
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 x y)
x
y
(-.f64 x y)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
#s(literal 2 binary64)
x
(*.f64 y y)
y
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 (neg.f64 y) y))
(+.f64 x y)
(+.f64 y x)
x
y
(-.f64 x y)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize83.0ms (1.3%)

Memory

0.3MiB live, 85.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
accuracy	0.0	(*.f64 y y)
accuracy	18.156407538691855	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
accuracy	0.0	(+.f64 #s(literal 2 binary64) x)
accuracy	0.0078125	(*.f64 (+.f64 #s(literal 2 binary64) x) x)
accuracy	27.697819989838464	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
accuracy	0.0	(*.f64 y y)
accuracy	31.191629521515324	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))

Samples

65.0ms

256×

valid

Compiler

Compiled 85 to 18 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 9.0ms (49.6% of total)

ival-add: 7.0ms (38.6% of total)

ival-sub: 1.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

11 → 45

Calls

Call 1

Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal 2 binary64) x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 x y)
(-.f64 x y)
(*.f64 #s(literal 2 binary64) x)

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ x y) (- x y)) (* 2 x)) (+ x y) (- x y) (* 2 x))
1.0ms	x	@	-inf	((+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ x y) (- x y)) (* 2 x)) (+ x y) (- x y) (* 2 x))
1.0ms	y	@	inf	((+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ x y) (- x y)) (* 2 x)) (+ x y) (- x y) (* 2 x))
1.0ms	x	@	0	((+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ x y) (- x y)) (* 2 x)) (+ x y) (- x y) (* 2 x))
1.0ms	y	@	-inf	((+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ x y) (- x y)) (* 2 x)) (+ x y) (- x y) (* 2 x))

simplify442.0ms (7.1%)

Memory

19.1MiB live, 265.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	345
1	459	299
2	1836	282
0	8495	270

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 43

Calls

Call 1

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

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

rewrite221.0ms (3.5%)

Memory

-27.2MiB live, 490.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	86
0	28	80
1	142	79
2	1152	79
0	8405	76

Stop Event

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

Counts

11 → 592

Calls

Call 1

Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal 2 binary64) x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 x y)
(-.f64 x y)
(*.f64 #s(literal 2 binary64) x)

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 x (-.f64 #s(literal 2 binary64) (neg.f64 x)))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x))) (.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x)))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))))) (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))) (.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 x (-.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (.f64 x x)) (-.f64 (fma.f64 x x x) x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64))))))) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64)))))))) (-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 (neg.f64 x)) x) (.f64 (neg.f64 (neg.f64 x)) x))) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 x (.f64 (neg.f64 x) x)) (-.f64 x (.f64 (neg.f64 x) x)))) (-.f64 x (-.f64 x (*.f64 (neg.f64 x) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 x (.f64 x x)) (+.f64 x (.f64 x x)))) (-.f64 x (+.f64 x (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x))) (.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 (.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (fma.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (-.f64 (.f64 x x) (.f64 (fma.f64 x x x) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64))))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64))))))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 (neg.f64 (neg.f64 x)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 x)) x) (.f64 (neg.f64 (neg.f64 x)) x)) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (neg.f64 x)) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 x (.f64 (neg.f64 x) x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (-.f64 x (.f64 (neg.f64 x) x)) (-.f64 x (.f64 (neg.f64 x) x))) (.f64 x (-.f64 x (.f64 (neg.f64 x) x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x (.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (+.f64 x (.f64 x x)) (+.f64 x (.f64 x x))) (.f64 x (+.f64 x (.f64 x x))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) x)) (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) x)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 x (-.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (-.f64 x (*.f64 (neg.f64 x) x)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (+.f64 x (*.f64 x x)))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x))))
(fma.f64 (/.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)) x) (/.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x))))
(fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) x) x) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 x (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x))))
(fma.f64 (/.f64 x x) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (-.f64 x (*.f64 (neg.f64 x) x)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (+.f64 x (*.f64 x x)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (-.f64 x (*.f64 (neg.f64 x) x)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (+.f64 x (*.f64 x x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 (neg.f64 x) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (*.f64 x x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal 2 binary64) x))
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(.f64 (/.f64 (+.f64 x (neg.f64 y)) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 x (neg.f64 y)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 y)) (.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (+.f64 y x)))
(.f64 (/.f64 (+.f64 (neg.f64 x) y) (.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 (-.f64 (neg.f64 x) y) (+.f64 y x)))
(.f64 (/.f64 (+.f64 x (neg.f64 y)) (.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 y x)))
(.f64 (/.f64 (-.f64 x y) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(.f64 (/.f64 (+.f64 y x) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 y)) (-.f64 x y)) (/.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (/.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 y)) (+.f64 y x)) (/.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (/.f64 (-.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (+.f64 (neg.f64 x) y) (-.f64 x y)) (/.f64 (-.f64 (neg.f64 x) y) (/.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 (/.f64 (+.f64 (neg.f64 x) y) (+.f64 y x)) (/.f64 (-.f64 (neg.f64 x) y) (/.f64 (-.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x (neg.f64 y)) (-.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (/.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x (neg.f64 y)) (+.f64 y x)) (/.f64 (-.f64 x (neg.f64 y)) (/.f64 (-.f64 x y) (-.f64 x y))))
(.f64 (/.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 (+.f64 y x) (+.f64 y x)))
(.f64 (/.f64 (+.f64 y x) (.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (/.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 x y)) (/.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(.f64 (.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
(*.f64 (-.f64 x y) (/.f64 (+.f64 y x) (+.f64 y x)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x)))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x))) (.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))) (+.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)) (fma.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)) (.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x)))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (neg.f64 (neg.f64 x)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (neg.f64 (neg.f64 x)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 (neg.f64 (neg.f64 x)) (+.f64 y x)) (/.f64 (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 (neg.f64 (neg.f64 x)) (+.f64 y x)) (/.f64 (.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (-.f64 x y)) (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (-.f64 x y)) (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (+.f64 y x)) (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (+.f64 y x)) (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (neg.f64 x) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (neg.f64 x) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (neg.f64 x) (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (neg.f64 x) (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (neg.f64 x) (/.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (neg.f64 x) (/.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 x (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(fma.f64 (/.f64 x (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 x (.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 x (+.f64 y x)) (/.f64 (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(fma.f64 (/.f64 x (.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 x (+.f64 y x)) (/.f64 (.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 x (/.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 x (/.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 x (-.f64 x y)) (/.f64 x (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(fma.f64 (/.f64 x (-.f64 x y)) (/.f64 x (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(-.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))
(-.f64 x y)
(+.f64 (/.f64 (.f64 y (-.f64 x y)) (+.f64 y x)) (/.f64 (.f64 x (-.f64 x y)) (+.f64 y x)))
(+.f64 (/.f64 (.f64 x (-.f64 x y)) (+.f64 y x)) (/.f64 (.f64 y (-.f64 x y)) (+.f64 y x)))
(+.f64 (/.f64 (.f64 (-.f64 x y) y) (+.f64 y x)) (/.f64 (.f64 (-.f64 x y) x) (+.f64 y x)))
(+.f64 (/.f64 (.f64 (-.f64 x y) x) (+.f64 y x)) (/.f64 (.f64 (-.f64 x y) y) (+.f64 y x)))
(+.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(+.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 (neg.f64 y) y) (+.f64 y x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (fabs.f64 (-.f64 (.f64 x x) (.f64 x x))) (fabs.f64 (-.f64 x x)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(+.f64 x x)

eval131.0ms (2.1%)

Memory: -16.0MiB live, 280.3MiB allocated
Compiler: Compiled 21 664 to 2 137 computations (90.1% saved)

prune12.0ms (0.2%)

Memory

1.5MiB live, 48.4MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	630	4	634
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	632	6	638

Accuracy

100.0%

Counts

638 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
▶	71.6%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
✓	56.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
▶	23.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
✓	51.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
▶	36.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 102 to 68 computations (33.3% saved)

simplify41.0ms (0.7%)

Memory

31.3MiB live, 77.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
cost-diff	1	(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(fma.f64 y y x)
cost-diff	0	(+.f64 (fma.f64 y y x) x)
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
cost-diff	0	#s(approx (+ 2 x) #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	111
0	26	101
1	60	101
2	150	101
3	331	101
4	503	101
5	639	101
6	813	101
7	1327	101
8	1635	101
9	1915	101
10	1995	101
11	2089	101
12	2107	101
0	2107	97

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
(+.f64 (fma.f64 y y x) x)
(fma.f64 y y x)
y
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(+.f64 (fma.f64 y y x) x)
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(fma.f64 y y x)
y
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize38.0ms (0.6%)

Memory

9.3MiB live, 110.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	27.697819989838464	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
accuracy	0.0	(fma.f64 y y x)
accuracy	0.0	(+.f64 (fma.f64 y y x) x)
accuracy	18.156407538691855	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
accuracy	0.0078125	(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
accuracy	26.934605608572816	#s(approx (+ 2 x) #s(literal 2 binary64))
accuracy	27.697819989838464	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
accuracy	0.0	(*.f64 x x)
accuracy	40.66288454339754	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Samples

29.0ms

256×

valid

Compiler

Compiled 86 to 16 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 8.0ms (55.2% of total)

ival-add: 6.0ms (41.4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-32.3MiB live, 13.9MiB allocated

Counts

11 → 23

Calls

Call 1

Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
(+.f64 (fma.f64 y y x) x)
(fma.f64 y y x)
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) x)

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) (+ (* x x) (* 2 x)) (+ (+ (* x 2) (* x x)) (* y y)) (* 2 x))
1.0ms	x	@	-inf	((+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) (+ (* x x) (* 2 x)) (+ (+ (* x 2) (* x x)) (* y y)) (* 2 x))
1.0ms	x	@	0	((+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) (+ (* x x) (* 2 x)) (+ (+ (* x 2) (* x x)) (* y y)) (* 2 x))
1.0ms	y	@	inf	((+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) (+ (* x x) (* 2 x)) (+ (+ (* x 2) (* x x)) (* y y)) (* 2 x))
0.0ms	y	@	-inf	((+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) (+ (* x x) (* 2 x)) (+ (+ (* x 2) (* x x)) (* y y)) (* 2 x))

simplify301.0ms (4.8%)

Memory

28.7MiB live, 215.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	175
1	165	169
2	550	165
3	2826	161
0	8399	152

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite385.0ms (6.2%)

Memory

-9.8MiB live, 128.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	104
0	26	94
1	131	94
2	1085	94
0	8498	90

Stop Event

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

Counts

11 → 236

Calls

Call 1

Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
(+.f64 (fma.f64 y y x) x)
(fma.f64 y y x)
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) x)

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
(*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64)))
#s(approx (+ 2 x) #s(literal 2 binary64))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (fma.f64 y y x) x)) (/.f64 (.f64 x x) (-.f64 (fma.f64 y y x) x)))) (+.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 y y x) x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 x) #s(literal 2 binary64)))) (fma.f64 y y (.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (fma.f64 y y x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (fma.f64 y y x) x)) (/.f64 (.f64 x x) (-.f64 (fma.f64 y y x) x)) (.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 y y x) x))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (.f64 y y) (.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 y y) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (-.f64 (.f64 y y) (.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 y y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 y y) (.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y y x) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (.f64 (-.f64 (fma.f64 y y x) x) (.f64 x x))) (.f64 (-.f64 (fma.f64 y y x) x) (-.f64 (fma.f64 y y x) x)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (.f64 (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 (.f64 y y) (.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (-.f64 x (fma.f64 y y x)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 y y) (.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 y y x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y y x) x)))))
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(-.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 x) x))
(+.f64 (fma.f64 x x x) x)
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x #s(literal 2 binary64)))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x))))
(+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x))
(+.f64 x (-.f64 x (*.f64 (neg.f64 x) x)))
(+.f64 x (+.f64 x (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x x)))))
(/.f64 (fabs.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x x))) (fabs.f64 (-.f64 x x)))
(/.f64 (fabs.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (fabs.f64 (fma.f64 x x (.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x x)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x x)) (-.f64 x x))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 x x (.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x x)))))
(+.f64 x x)

eval66.0ms (1.1%)

Memory: -11.1MiB live, 32.7MiB allocated
Compiler: Compiled 8 865 to 992 computations (88.8% saved)

prune5.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	250	1	251
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	251	6	257

Accuracy

100.0%

Counts

257 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
✓	71.6%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
✓	56.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
✓	23.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
✓	51.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	36.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 102 to 67 computations (34.3% saved)

simplify36.0ms (0.6%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x x)
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
cost-diff	1	(fma.f64 x x (+.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
0	13	24
1	39	24
2	127	24
3	300	24
4	486	24
5	639	24
6	1066	24
7	1343	24
8	1617	24
9	1705	24
10	1799	24
11	1820	24
0	1820	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
(fma.f64 x x (+.f64 x x))
x
(+.f64 x x)

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 x x (+.f64 x x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
x
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)

localize48.0ms (0.8%)

Memory

-18.4MiB live, 24.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x (+.f64 x x))
accuracy	0.0	(+.f64 x x)
accuracy	27.697819989838464	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))

Samples

15.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (53.6% of total)

ival-add: 4.0ms (42.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

3 → 12

Calls

Call 1

Inputs
(fma.f64 x x (+.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
(+.f64 x x)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ (* x x) (+ x x)) (+ (+ (* x 2) (* x x)) (* y y)) (+ x x))
1.0ms	x	@	-inf	((+ (* x x) (+ x x)) (+ (+ (* x 2) (* x x)) (* y y)) (+ x x))
0.0ms	x	@	0	((+ (* x x) (+ x x)) (+ (+ (* x 2) (* x x)) (* y y)) (+ x x))
0.0ms	y	@	inf	((+ (* x x) (+ x x)) (+ (+ (* x 2) (* x x)) (* y y)) (+ x x))
0.0ms	y	@	-inf	((+ (* x x) (+ x x)) (+ (+ (* x 2) (* x x)) (* y y)) (+ x x))

simplify415.0ms (6.7%)

Memory

6.6MiB live, 118.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	104
1	109	98
2	389	94
3	2091	88
0	8681	84

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite179.0ms (2.9%)

Memory

-2.1MiB live, 89.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
0	13	23
1	88	23
2	942	18
0	10480	17

Stop Event

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

Counts

3 → 153

Calls

Call 1

Inputs
(fma.f64 x x (+.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
(+.f64 x x)

Outputs
(*.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))) (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))))
(*.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(*.f64 (+.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (+.f64 (neg.f64 (neg.f64 x)) #s(literal 0 binary64)) (-.f64 (neg.f64 (neg.f64 x)) #s(literal 0 binary64)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(*.f64 (+.f64 x #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 2 binary64) x)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 2 binary64) (neg.f64 x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 2 binary64) x)))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(*.f64 x (-.f64 #s(literal 2 binary64) (neg.f64 x)))
(*.f64 x (-.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x)))) (-.f64 x (-.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (-.f64 x (fma.f64 x x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 x (.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) (.f64 x (-.f64 x (.f64 x x))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 (neg.f64 x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 x x) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 (.f64 x x) (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 x x x) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (fma.f64 x x x) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 x x x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (-.f64 x (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (fma.f64 x x x))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) x) (/.f64 (.f64 (neg.f64 x) x) (-.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) x) (/.f64 (.f64 (neg.f64 x) x) (-.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (neg.f64 x) (-.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 x (-.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 x x) (-.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 x x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 x x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (.f64 #s(literal -4 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (.f64 (.f64 (neg.f64 x) x) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (-.f64 x (*.f64 x x)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (fma.f64 x x x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (-.f64 x (*.f64 x x)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 x x x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 x x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 x x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 #s(literal -4 binary64) (.f64 x x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 (neg.f64 x) x) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 #s(literal -4 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 (neg.f64 x) x) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 #s(literal -4 binary64) (.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 x x)))
(fma.f64 x x (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x x (.f64 (.f64 (neg.f64 x) x) #s(literal 4 binary64)))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 x x (*.f64 #s(literal -2 binary64) x))
(fma.f64 x x (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(fma.f64 x x #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(-.f64 (fma.f64 x x x) x)
(-.f64 (.f64 x x) (.f64 #s(literal -4 binary64) (*.f64 x x)))
(-.f64 (.f64 x x) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) #s(literal 4 binary64)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(-.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (*.f64 x x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(-.f64 x (*.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 x x x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 x x x) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 (fma.f64 x x x) x)
(+.f64 (.f64 x x) (.f64 #s(literal -4 binary64) (*.f64 x x)))
(+.f64 (.f64 x x) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) #s(literal 4 binary64)))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x))
(+.f64 (.f64 x x) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 x (-.f64 x (*.f64 x x)))
(+.f64 x (fma.f64 x x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x #s(literal 0 binary64)))
#s(literal 0 binary64)

eval102.0ms (1.6%)

Memory: -23.0MiB live, 83.2MiB allocated
Compiler: Compiled 4 114 to 525 computations (87.2% saved)

prune5.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	162	6	168

Accuracy

100.0%

Counts

168 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
✓	71.6%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
✓	56.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
✓	23.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
✓	51.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	36.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 261 to 104 computations (60.2% saved)

regimes30.0ms (0.5%)

Memory

-0.3MiB live, 46.6MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Outputs
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Calls

5 calls:

16.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	y
3.0ms	x
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 y y)`
100.0%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
100.0%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes51.0ms (0.8%)

Memory

15.0MiB live, 61.3MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x)))

Calls

5 calls:

38.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	x
3.0ms	y
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
88.8%	2	`(*.f64 y y)`
91.9%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
71.6%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
93.0%	3	`x`
88.8%	2	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes3.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))

Calls

1 calls:

2.0ms

(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))

Results

Accuracy	Segments	Branch
91.9%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes10.0ms (0.2%)

Memory

-22.6MiB live, 26.7MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))

Calls

4 calls:

2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	y
2.0ms	x
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
88.1%	2	`(*.f64 y y)`
88.1%	2	`y`
74.5%	3	`x`
73.4%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes14.0ms (0.2%)

Memory

-8.5MiB live, 36.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))

#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Calls

5 calls:

7.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
2.0ms	x
2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	y
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
73.0%	3	`x`
65.5%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
71.5%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
71.0%	3	`(*.f64 y y)`
71.0%	3	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes6.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Calls

5 calls:

1.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
1.0ms	(*.f64 y y)
1.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
36.5%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
36.5%	1	`(*.f64 y y)`
36.5%	1	`y`
36.5%	1	`x`
36.5%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1706042.9629866818	34341809221.524353

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1706042.9629866818	34341809221.524353

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch19.0ms (0.3%)

Memory

-31.8MiB live, 59.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.487132348209313e+27	5.782061221949534e+33

Samples

9.0ms

144×

valid

Compiler

Compiled 302 to 229 computations (24.2% saved)

Precisions

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

ival-mult: 3.0ms (71.2% of total)

ival-add: 1.0ms (23.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.434372250300771e+28	3.932173677036318e+33

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify40.0ms (0.6%)

Memory

12.7MiB live, 67.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	175
1	55	175
2	128	175
3	280	175
4	453	175
5	593	175
6	938	175
7	3509	175

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 2000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 2000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)))
(if (<=.f64 y #s(literal 3599999999999999827932872704 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 99999999999999991433150857216 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Outputs
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 2000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 2000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)))
(if (<=.f64 y #s(literal 3599999999999999827932872704 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 99999999999999991433150857216 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

soundness859.0ms (13.8%)

Memory

5.4MiB live, 814.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	345
1	459	299
2	1836	282
0	8495	270
0	19	86
0	28	80
1	142	79
2	1152	79
0	8405	76
0	36	104
1	109	98
2	389	94
3	2091	88
0	8681	84
0	20	104
0	26	94
1	131	94
2	1085	94
0	8498	90

Stop Event

1×	done
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 309 to 126 computations (59.2% saved)

preprocess94.0ms (1.5%)

Memory: -9.6MiB live, 176.3MiB allocated
Remove: (abs y)
Compiler: Compiled 474 to 134 computations (71.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (16.9%)

explain138.0ms (2.2%)

preprocess167.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify111.0ms (1.8%)

localize37.0ms (0.6%)

series8.0ms (0.1%)

simplify150.0ms (2.4%)

rewrite166.0ms (2.7%)

eval92.0ms (1.5%)

prune9.0ms (0.1%)

simplify646.0ms (10.4%)

localize83.0ms (1.3%)

series7.0ms (0.1%)

simplify442.0ms (7.1%)

rewrite221.0ms (3.5%)

eval131.0ms (2.1%)

prune12.0ms (0.2%)

simplify41.0ms (0.7%)

localize38.0ms (0.6%)

series9.0ms (0.1%)

simplify301.0ms (4.8%)

rewrite385.0ms (6.2%)

eval66.0ms (1.1%)

prune5.0ms (0.1%)

simplify36.0ms (0.6%)

localize48.0ms (0.8%)

series2.0ms (0%)

simplify415.0ms (6.7%)

rewrite179.0ms (2.9%)

eval102.0ms (1.6%)

prune5.0ms (0.1%)

regimes30.0ms (0.5%)

regimes51.0ms (0.8%)

regimes3.0ms (0%)

regimes10.0ms (0.2%)

regimes14.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.3%)

bsearch0.0ms (0%)

simplify40.0ms (0.6%)

soundness859.0ms (13.8%)

preprocess94.0ms (1.5%)

end0.0ms (0%)

Profiling