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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

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)

sample1.2s (24.3%)

Memory

28.8MiB live, 1 450.2MiB allocated; 435ms collecting garbage

Samples

759.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 486.0ms

ival-mult: 389.0ms (80.1% of total)

ival-add: 81.0ms (16.7% of total)

ival-true: 5.0ms (1% of total)

exact: 5.0ms (1% of total)

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

adjust: 2.0ms (0.4% of total)

Bogosity

explain473.0ms (9.9%)

Memory

-45.3MiB live, 261.0MiB allocated; 331ms collecting garbage

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

287.0ms

512×

valid

Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 273.0ms

ival-mult: 268.0ms (98.1% of total)

ival-add: 4.0ms (1.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess186.0ms (3.9%)

Memory

18.9MiB live, 112.7MiB allocated; 39ms collecting garbage

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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

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)

simplify52.0ms (1.1%)

Memory

-4.3MiB live, 42.6MiB allocated; 2ms collecting garbage

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

localize57.0ms (1.2%)

Memory

5.3MiB live, 65.6MiB allocated; 5ms collecting garbage

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	0.00390625	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Samples

51.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 41.0ms (92.9% of total)

ival-add: 2.0ms (4.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series32.0ms (0.7%)

Memory

-29.1MiB live, 13.2MiB allocated; 7ms collecting garbage

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
27.0ms	y	@	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	x	@	0	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))

simplify252.0ms (5.3%)

Memory

27.2MiB live, 215.9MiB allocated; 20ms collecting garbage

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)

rewrite188.0ms (3.9%)

Memory

13.5MiB live, 204.2MiB allocated; 24ms collecting garbage

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)))
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(+.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (.f64 x x))
(+.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (.f64 #s(literal 2 binary64) x))
(+.f64 (/.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 (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 (/.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))))

eval102.0ms (2.1%)

Memory: -35.3MiB live, 159.7MiB allocated; 29ms collecting garbage
Compiler: Compiled 10 092 to 955 computations (90.5% saved)

prune6.0ms (0.1%)

Memory

29.0MiB live, 29.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	379	3	382
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	380	3	383

Accuracy

100.0%

Counts

383 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
▶	64.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
▶	45.1%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))

Status

Accuracy

Program

▶

63.4%

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

▶

64.2%

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

▶

45.1%

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

Compiler

Compiled 50 to 34 computations (32% saved)

simplify37.0ms (0.8%)

Memory

-12.2MiB live, 34.3MiB allocated; 4ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
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	15	76
0	20	70
1	47	70
2	136	70
3	318	70
4	488	70
5	619	70
6	787	70
7	1279	70
8	1559	70
9	1833	70
10	1916	70
11	2010	70
12	2026	70
0	2026	67

Stop Event

1×	iter limit
1×	saturated
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

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

localize33.0ms (0.7%)

Memory

26.8MiB live, 72.8MiB allocated; 3ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
accuracy	0.0	(*.f64 y y)
accuracy	23.416554200548735	#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	0.0	(*.f64 (+.f64 #s(literal 2 binary64) x) x)
accuracy	22.903302491143315	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
accuracy	0.0	(*.f64 y y)
accuracy	35.14575053308627	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))

Samples

25.0ms

256×

valid

Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions

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

ival-mult: 10.0ms (62.7% of total)

ival-add: 6.0ms (37.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

-38.4MiB live, 11.9MiB allocated; 11ms collecting garbage

Counts

7 → 19

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))

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	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)))
3.0ms	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)))
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)))
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)))
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)))

simplify212.0ms (4.4%)

Memory

46.1MiB live, 276.7MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	127
1	142	121
2	491	121
3	2679	118
0	8258	110

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 18

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

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

rewrite348.0ms (7.3%)

Memory

-46.4MiB live, 338.5MiB allocated; 117ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	67
0	20	61
1	102	61
2	792	61
0	8616	58

Stop Event

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

Counts

7 → 208

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))

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 (fma.f64 x x x) (fma.f64 x x x)) (.f64 x x)) (-.f64 (fma.f64 x x x) x))
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(fma.f64 x #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 x #s(literal 2 binary64) (*.f64 y y))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 #s(literal -2 binary64) x))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 y y (.f64 #s(literal -2 binary64) x))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 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 (neg.f64 y) y))))) (/.f64 (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 (neg.f64 y) y))))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x (.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 (neg.f64 y) y))))
(-.f64 (.f64 y y) (.f64 #s(literal -2 binary64) x))
(-.f64 (.f64 y y) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (neg.f64 (neg.f64 y))) y))
(-.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 y))))
(-.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(-.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 y) y))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 #s(literal -2 binary64) (.f64 x (.f64 y y)))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 #s(literal -2 binary64) (.f64 x (*.f64 y y)))))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 #s(literal -2 binary64) (.f64 x (.f64 y y)))))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 #s(literal -2 binary64) (.f64 x (*.f64 y y)))))))
(+.f64 (fma.f64 y y x) x)
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 y y) (fma.f64 y y (.f64 #s(literal -2 binary64) x))))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 y y) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))))))
(+.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 y y) (fma.f64 y y (.f64 #s(literal -2 binary64) x))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (.f64 y y) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))))))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x (.f64 (neg.f64 y) y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y))))
(+.f64 (.f64 y y) (.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (.f64 y y) (.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(+.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y))
(+.f64 x (+.f64 x (*.f64 y y)))

eval46.0ms (1%)

Memory: 28.7MiB live, 75.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 7 562 to 860 computations (88.6% saved)

prune30.0ms (0.6%)

Memory

-21.4MiB live, 25.8MiB allocated; 2ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	233	3	236
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	233	6	239

Accuracy

100.0%

Counts

239 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
▶	63.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
✓	64.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
▶	20.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
✓	45.1%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
▶	45.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 102 to 68 computations (33.3% saved)

simplify80.0ms (1.7%)

Memory

18.0MiB live, 66.8MiB allocated; 5ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
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	17	82
0	21	76
1	47	76
2	124	76
3	285	76
4	449	76
5	580	76
6	729	76
7	909	76
8	1483	76
9	1789	76
10	2069	76
11	2147	76
12	2241	76
13	2264	76
0	2264	73

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

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

localize70.0ms (1.5%)

Memory

-6.8MiB live, 83.0MiB allocated; 6ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y y x)
accuracy	0.00390625	(+.f64 (fma.f64 y y x) x)
accuracy	23.416554200548735	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
accuracy	0.0	(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
accuracy	22.903302491143315	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
accuracy	31.934151963894262	#s(approx (+ 2 x) #s(literal 2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	35.076636412431654	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Samples

29.0ms

256×

valid

Compiler

Compiled 63 to 14 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 13.0ms (62.9% of total)

ival-add: 7.0ms (33.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

8 → 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)

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
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))
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))
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))
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))
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))

simplify272.0ms (5.7%)

Memory

22.2MiB live, 213.1MiB allocated; 14ms collecting garbage

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)

rewrite314.0ms (6.5%)

Memory

-8.3MiB live, 285.3MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	77
0	21	71
1	105	71
2	907	71
0	8898	68

Stop Event

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

Counts

8 → 154

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)

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

eval25.0ms (0.5%)

Memory: 7.2MiB live, 52.6MiB allocated; 11ms collecting garbage
Compiler: Compiled 5 137 to 591 computations (88.5% saved)

prune27.0ms (0.6%)

Memory

-18.9MiB live, 17.7MiB allocated; 18ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	169	6	175

Accuracy

100.0%

Counts

175 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
✓	63.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
✓	64.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
✓	20.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
✓	45.1%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	45.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 215 to 96 computations (55.3% saved)

regimes13.0ms (0.3%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Counts

7 → 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 #s(literal 2 binary64) x (*.f64 y y)))
(+.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:

3.0ms	x
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
2.0ms	(*.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)

regimes38.0ms (0.8%)

Memory

-23.5MiB live, 22.6MiB allocated; 9ms collecting garbage

Counts

6 → 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 #s(literal 2 binary64) x (*.f64 y y)))

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

Calls

5 calls:

29.0ms	(+.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
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
84.2%	2	`(*.f64 y y)`
93.4%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
72.6%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
94.1%	3	`x`
84.2%	2	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes2.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

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
93.4%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

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	x
2.0ms	y
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
84.2%	2	`(*.f64 y y)`
84.2%	2	`y`
79.7%	3	`x`
79.7%	3	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes6.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Counts

3 → 3

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 #s(approx (+ 2 x) #s(literal 2 binary64)) x))

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
78.3%	3	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
78.0%	4	`x`
65.1%	2	`(*.f64 y y)`
65.1%	2	`y`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes3.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

2 → 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))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
75.2%	3	`x`
74.7%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes22.0ms (0.5%)

Memory

-45.0MiB live, 13.2MiB allocated; 19ms collecting garbage

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:

17.0ms	x
1.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
1.0ms	y
1.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
45.2%	1	`(*.f64 y y)`
45.2%	1	`y`
45.2%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
45.2%	1	`x`
45.2%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.727206471909617e-7	0.4915179183113769

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.727206471909617e-7	0.4915179183113769

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch10.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	5748.989451754994	66606.75715442147

Samples

5.0ms

96×

valid

Compiler

Compiled 206 to 157 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (68.7% of total)

ival-add: 1.0ms (34.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8639951204264366e+64	4.045692272714866e+75
0.0ms	-1.9950309839415315e-94	-1.4932888745172057e-94

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8639951204264366e+64	4.045692272714866e+75

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify56.0ms (1.2%)

Memory

-13.3MiB live, 32.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	237
1	61	237
2	132	237
3	284	237
4	456	237
5	604	237
6	948	237
7	3513	237

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 4722366482869645/4722366482869645213696 binary64)) #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)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 4722366482869645/4722366482869645213696 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 8000 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 -352281387416075/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000000426408380189087937446025157425359298935486676992 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000000426408380189087937446025157425359298935486676992 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 4722366482869645/4722366482869645213696 binary64)) #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)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 4722366482869645/4722366482869645213696 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 8000 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 -352281387416075/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000000426408380189087937446025157425359298935486676992 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000000426408380189087937446025157425359298935486676992 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))

derivations500.0ms (10.4%)

Memory

14.5MiB live, 476.6MiB allocated; 90ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	67
0	20	61
1	102	61
2	792	61
0	8616	58
0	43	127
1	142	121
2	491	121
3	2679	118
0	8258	110
0	36	104
1	109	98
2	389	94
3	2091	88
0	8681	84

Stop Event

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

Compiler

Compiled 261 to 41 computations (84.3% saved)

preprocess108.0ms (2.2%)

Memory: 28.7MiB live, 132.1MiB allocated; 81ms collecting garbage
Remove: (abs y)
Compiler: Compiled 610 to 146 computations (76.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (24.3%)

explain473.0ms (9.9%)

preprocess186.0ms (3.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify52.0ms (1.1%)

localize57.0ms (1.2%)

series32.0ms (0.7%)

simplify252.0ms (5.3%)

rewrite188.0ms (3.9%)

eval102.0ms (2.1%)

prune6.0ms (0.1%)

simplify37.0ms (0.8%)

localize33.0ms (0.7%)

series11.0ms (0.2%)

simplify212.0ms (4.4%)

rewrite348.0ms (7.3%)

eval46.0ms (1%)

prune30.0ms (0.6%)

simplify80.0ms (1.7%)

localize70.0ms (1.5%)

series4.0ms (0.1%)

simplify272.0ms (5.7%)

rewrite314.0ms (6.5%)

eval25.0ms (0.5%)

prune27.0ms (0.6%)

regimes13.0ms (0.3%)

regimes38.0ms (0.8%)

regimes2.0ms (0.1%)

regimes7.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes22.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify56.0ms (1.2%)

derivations500.0ms (10.4%)

preprocess108.0ms (2.2%)

end0.0ms (0%)

Profiling