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

0.3MiB live, 0.3MiB 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)

sample1.3s (25.5%)

Memory

18.3MiB live, 1 438.8MiB allocated; 578ms collecting garbage

Samples

856.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 377.0ms

ival-mult: 267.0ms (70.8% of total)

ival-add: 94.0ms (24.9% of total)

ival-true: 5.0ms (1.3% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain166.0ms (3.2%)

Memory

-3.1MiB live, 199.2MiB allocated; 60ms 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

51.0ms

512×

valid

Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions

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

ival-mult: 26.0ms (80.9% of total)

ival-add: 5.0ms (15.6% 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)

preprocess181.0ms (3.5%)

Memory

2.1MiB live, 91.5MiB allocated; 14ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

simplify46.0ms (0.9%)

Memory

1.7MiB live, 55.6MiB allocated; 5ms collecting garbage

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

localize26.0ms (0.5%)

Memory

14.7MiB live, 59.0MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.00390625	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
accuracy	0.0078125	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Samples

19.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

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

ival-mult: 5.0ms (65.9% of total)

ival-add: 2.0ms (26.4% 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)

series7.0ms (0.1%)

Memory

-30.5MiB live, 13.4MiB allocated; 5ms collecting garbage

Counts

4 → 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)

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	y	@	-inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
1.0ms	x	@	-inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
1.0ms	x	@	inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
1.0ms	x	@	0	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
0.0ms	y	@	inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))

simplify156.0ms (3%)

Memory

16.2MiB live, 197.6MiB allocated; 32ms collecting garbage

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)

rewrite186.0ms (3.6%)

Memory

7.7MiB live, 243.2MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	20
1	61	20
2	554	20
0	9427	19

Stop Event

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

Counts

4 → 359

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)

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))))

eval86.0ms (1.7%)

Memory: -6.4MiB live, 106.4MiB allocated; 17ms collecting garbage
Compiler: Compiled 9 908 to 924 computations (90.7% saved)

prune7.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	362	6	368
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	363	6	369

Accuracy

100.0%

Counts

369 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.0%	(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
▶	100.0%	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
▶	55.3%	(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
▶	64.6%	#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))
▶	46.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))

Compiler

Compiled 152 to 106 computations (30.3% saved)

simplify219.0ms (4.3%)

Memory

-31.4MiB live, 154.8MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	112
0	28	103
1	61	103
2	161	103
3	357	103
4	537	103
5	672	103
6	841	103
7	1364	103
8	1686	103
9	2000	103
10	2252	103
11	2803	103
12	3520	103
13	5844	103
0	8396	103

Stop Event

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

Calls

Call 1

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

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

localize88.0ms (1.7%)

Memory

9.1MiB live, 99.1MiB allocated; 9ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 2 binary64) x)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 2 binary64) x) x)
accuracy	1.999977980844482	(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
accuracy	22.675628157450554	#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	0.01171875	(*.f64 (+.f64 #s(literal 2 binary64) x) x)
accuracy	22.92181153497385	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
accuracy	0.0	(*.f64 y y)
accuracy	34.22835860075138	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
accuracy	0.0	(+.f64 #s(literal 2 binary64) x)
accuracy	0.0	(*.f64 y y)
accuracy	0.01171875	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))

Samples

51.0ms

256×

valid

Compiler

Compiled 100 to 18 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 9.0ms (51.7% of total)

ival-add: 7.0ms (40.2% of total)

ival-sub: 1.0ms (5.7% 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)

series6.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Counts

11 → 33

Calls

Call 1

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

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

Calls

6 calls:

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

simplify238.0ms (4.7%)

Memory

13.6MiB live, 261.3MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	263
1	207	257
2	686	249
3	3646	245
0	8501	231

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

Calls

Call 1

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

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

rewrite426.0ms (8.3%)

Memory

-39.4MiB live, 296.3MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	91
0	28	82
1	143	82
2	1022	82
0	8881	82

Stop Event

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

Counts

11 → 474

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (.f64 (neg.f64 y) y))) (/.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (.f64 (neg.f64 y) y)))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (.f64 y y))))) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))))) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 (fma.f64 y y (.f64 x x)) (*.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y)))) (-.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 x (fma.f64 y y (.f64 x x))) (+.f64 x (fma.f64 y y (.f64 x x))))) (-.f64 x (+.f64 x (fma.f64 y y (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (.f64 (neg.f64 y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (.f64 (neg.f64 y) y))) (/.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (.f64 (neg.f64 y) y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (.f64 y y))) (.f64 (/.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (*.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 y y) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 y y (.f64 x x)) (.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x (fma.f64 y y (.f64 x x))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (+.f64 x (fma.f64 y y (.f64 x x))) (+.f64 x (fma.f64 y y (.f64 x x)))) (.f64 x (+.f64 x (fma.f64 y y (.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) (fma.f64 y y (.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 x) x)) (fma.f64 (neg.f64 x) x (.f64 y y))) (.f64 (-.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (.f64 (-.f64 x x) (fma.f64 (neg.f64 x) x (.f64 y y))))
(/.f64 (-.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 x) x)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (.f64 (-.f64 x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (.f64 (-.f64 x x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) x (.f64 y y))) (.f64 (fma.f64 x x (fma.f64 x x (.f64 (neg.f64 x) x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (.f64 (fma.f64 x x (fma.f64 x x (.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 x) x (.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (.f64 (fma.f64 x x (fma.f64 x x (.f64 (neg.f64 x) x))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (.f64 (fma.f64 x x (fma.f64 x x (.f64 (neg.f64 x) x))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (.f64 (neg.f64 y) y))) (.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) x (.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64)))) (.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) x (.f64 (neg.f64 y) y)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (.f64 (neg.f64 y) y))))
(/.f64 (fma.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (pow.f64 y #s(literal 6 binary64)))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 x x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (fma.f64 x x (.f64 (neg.f64 x) x)))) (.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 x x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 x x (fma.f64 x x (.f64 (neg.f64 x) x))) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 x x) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (fma.f64 x x (.f64 (neg.f64 x) x)))) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 x x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x x (.f64 (neg.f64 x) x))) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x)))))
(/.f64 (fma.f64 (fma.f64 x x (.f64 (neg.f64 x) x)) (fma.f64 (neg.f64 x) x (.f64 y y)) (.f64 (-.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (.f64 (-.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(/.f64 (fma.f64 (fma.f64 x x (.f64 (neg.f64 x) x)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (.f64 (-.f64 x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (.f64 (-.f64 x x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) x (.f64 y y)) (.f64 (fma.f64 x x (fma.f64 x x (.f64 (neg.f64 x) x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (.f64 (fma.f64 x x (fma.f64 x x (.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (.f64 (fma.f64 x x (fma.f64 x x (.f64 (neg.f64 x) x))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (.f64 (fma.f64 x x (fma.f64 x x (.f64 (neg.f64 x) x))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (.f64 (neg.f64 y) y)))
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eval108.0ms (2.1%)

Memory: 23.6MiB live, 209.9MiB allocated; 21ms collecting garbage
Compiler: Compiled 16 876 to 1 609 computations (90.5% saved)

prune15.0ms (0.3%)

Memory

-8.7MiB live, 44.3MiB allocated; 9ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	585	4	589
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	588	7	595

Accuracy

100.0%

Counts

595 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
▶	64.6%	#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 (fma.f64 x x x) x))
✓	64.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
▶	21.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
✓	46.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
▶	45.4%	#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))

Compiler

Compiled 108 to 72 computations (33.3% saved)

simplify38.0ms (0.7%)

Memory

7.4MiB live, 51.9MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	109
0	28	103
1	62	101
2	151	101
3	349	101
4	572	101
5	956	101
6	1287	101
7	1623	101
8	1704	101
9	1798	101
10	1816	101
0	1816	97

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize38.0ms (0.8%)

Memory

21.2MiB live, 114.5MiB allocated; 4ms collecting garbage

Localize:

Found 11 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	22.675628157450554	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
accuracy	0.0	(fma.f64 x x x)
accuracy	0.015625	(+.f64 (fma.f64 x x x) x)
accuracy	22.92181153497385	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
accuracy	0.01171875	(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
accuracy	22.92181153497385	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
accuracy	33.121597255903815	#s(approx (+ 2 x) #s(literal 2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	34.93538988523775	#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))

Samples

28.0ms

256×

valid

Compiler

Compiled 85 to 17 computations (80% saved)

Precisions

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

ival-add: 10.0ms (60.7% of total)

ival-mult: 6.0ms (36.4% 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)

series10.0ms (0.2%)

Memory

-28.3MiB live, 23.8MiB allocated; 8ms collecting garbage

Counts

11 → 26

Calls

Call 1

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

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
(* x (+ 1 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 (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (/ 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 (/ (* x (+ 2 x)) (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
6.0ms	x	@	-inf	((+ (* (+ 2 x) x) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x))
1.0ms	x	@	inf	((+ (* (+ 2 x) x) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x))
1.0ms	x	@	0	((+ (* (+ 2 x) x) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x))
1.0ms	y	@	inf	((+ (* (+ 2 x) x) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x))
1.0ms	y	@	-inf	((+ (* (+ 2 x) x) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x))

simplify337.0ms (6.6%)

Memory

3.0MiB live, 283.0MiB allocated; 169ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	194
1	190	194
2	621	190
3	3088	188
0	8203	174

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 25

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

rewrite225.0ms (4.4%)

Memory

37.8MiB live, 261.7MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	103
0	28	97
1	151	95
2	1227	95
0	9322	91

Stop Event

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

Counts

11 → 266

Calls

Call 1

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

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

eval67.0ms (1.3%)

Memory: -32.0MiB live, 120.2MiB allocated; 32ms collecting garbage
Compiler: Compiled 10 234 to 1 141 computations (88.9% saved)

prune8.0ms (0.2%)

Memory

38.7MiB live, 38.7MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	285	0	285
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	285	7	292

Accuracy

100.0%

Counts

292 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
✓	64.6%	#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 (fma.f64 x x x) x))
✓	64.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
✓	21.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
✓	46.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	45.4%	#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))

Compiler

Compiled 263 to 113 computations (57% saved)

regimes20.0ms (0.4%)

Memory

-47.0MiB live, 52.1MiB allocated; 6ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

5.0ms	(*.f64 y y)
4.0ms	y
3.0ms	x
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.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)

regimes26.0ms (0.5%)

Memory

1.4MiB live, 48.2MiB allocated; 2ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	(*.f64 y y)
3.0ms	x
3.0ms	y
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.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)

regimes74.0ms (1.4%)

Memory

4.1MiB live, 51.3MiB allocated; 2ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

5 calls:

62.0ms	(*.f64 y y)
3.0ms	y
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	x
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Results

Accuracy	Segments	Branch
86.9%	2	`(*.f64 y y)`
91.8%	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))`
92.5%	3	`x`
86.9%	2	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes9.0ms (0.2%)

Memory

33.9MiB live, 33.9MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (+ 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 x x x) x))

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x 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
86.5%	2	`(*.f64 y y)`
86.5%	2	`y`
76.3%	3	`x`
75.3%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes13.0ms (0.3%)

Memory

-30.3MiB live, 14.0MiB allocated; 3ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (+ 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

2 calls:

11.0ms	y
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
86.5%	2	`(*.f64 y y)`
86.5%	2	`y`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
75.2%	3	`x`
74.0%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
67.7%	2	`(*.f64 y y)`
70.2%	3	`y`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes5.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
45.4%	1	`(*.f64 y y)`
45.4%	1	`y`
45.4%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
45.4%	1	`x`
45.4%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch53.0ms (1%)

Memory

-53.5MiB live, 2.4MiB allocated; 44ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
52.0ms	95.16106800418798	1701.4092912599983

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch51.0ms (1%)

Memory

29.2MiB live, 78.6MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	71344713302748.83	3427851471820569.0

Samples

45.0ms

112×

valid

Compiler

Compiled 245 to 174 computations (29% saved)

Precisions

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

ival-mult: 2.0ms (54.1% of total)

ival-add: 1.0ms (27% 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

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	71344713302748.83	3427851471820569.0

Compiler

Compiled 238 to 181 computations (23.9% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.7753226902494225e+46	9.845496868688421e+48

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify133.0ms (2.6%)

Memory

-22.0MiB live, 71.4MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	174
1	62	174
2	135	174
3	290	174
4	461	174
5	590	174
6	934	174
7	3464	174

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 100 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 110000000000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 110000000000000 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 50000000000000002192292152253809867731702382592 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ ( (+ 2 x) x) (* y y)) (*.f64 x x)))
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))

Outputs
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 100 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 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 100 binary64)) #s(approx (+ (* (+ 2 x) x) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)))
(if (<=.f64 y #s(literal 110000000000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 110000000000000 binary64)) #s(approx (+ (* (+ 2 x) x) (* y y)) (+.f64 (fma.f64 x x x) x)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 110000000000000 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 y #s(literal 110000000000000 binary64)) #s(approx (+ (* (+ 2 x) x) (* y y)) (.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(approx (+ ( (+ 2 x) x) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000002192292152253809867731702382592 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ ( (+ 2 x) x) (* y y)) (*.f64 x x)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000002192292152253809867731702382592 binary64)) #s(approx (+ (* (+ 2 x) x) (* y y)) (.f64 y y)) #s(approx (+ ( (+ 2 x) x) (* y y)) (*.f64 x x)))
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))

derivations641.0ms (12.6%)

Memory

7.4MiB live, 666.9MiB allocated; 146ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	91
0	28	82
1	143	82
2	1022	82
0	8881	82
0	67	263
1	207	257
2	686	249
3	3646	245
0	8501	231
0	36	104
1	109	98
2	389	94
3	2091	88
0	8681	84
0	8	24
0	13	20
1	61	20
2	554	20
0	9427	19

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×	node limit
1×	iter limit

Compiler

Compiled 174 to 35 computations (79.9% saved)

preprocess87.0ms (1.7%)

Memory: 7.3MiB live, 95.3MiB allocated; 20ms collecting garbage
Remove: (abs y)
Compiler: Compiled 436 to 134 computations (69.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (25.5%)

explain166.0ms (3.2%)

preprocess181.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify46.0ms (0.9%)

localize26.0ms (0.5%)

series7.0ms (0.1%)

simplify156.0ms (3%)

rewrite186.0ms (3.6%)

eval86.0ms (1.7%)

prune7.0ms (0.1%)

simplify219.0ms (4.3%)

localize88.0ms (1.7%)

series6.0ms (0.1%)

simplify238.0ms (4.7%)

rewrite426.0ms (8.3%)

eval108.0ms (2.1%)

prune15.0ms (0.3%)

simplify38.0ms (0.7%)

localize38.0ms (0.8%)

series10.0ms (0.2%)

simplify337.0ms (6.6%)

rewrite225.0ms (4.4%)

eval67.0ms (1.3%)

prune8.0ms (0.2%)

regimes20.0ms (0.4%)

regimes26.0ms (0.5%)

regimes74.0ms (1.4%)

regimes9.0ms (0.2%)

regimes13.0ms (0.3%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch53.0ms (1%)

bsearch51.0ms (1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify133.0ms (2.6%)

derivations641.0ms (12.6%)

preprocess87.0ms (1.7%)

end0.0ms (0%)

Profiling