Metrics for From Rump in a 1983 paper

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

sample1.5s (32%)

Memory

21.1MiB live, 2 377.1MiB allocated; 492ms collecting garbage

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 724.0ms

ival-mult: 277.0ms (38.3% of total)

ival-pow: 214.0ms (29.6% of total)

ival-==: 121.0ms (16.7% of total)

ival-sub: 37.0ms (5.1% of total)

ival-add: 36.0ms (5% of total)

exact: 20.0ms (2.8% of total)

ival-and: 12.0ms (1.7% of total)

adjust: 3.0ms (0.4% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain142.0ms (3.1%)

Memory

11.1MiB live, 430.1MiB allocated; 46ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
256	0	-	-	`(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))`
0	0	-	-	`(.f64 #s(literal 2 binary64) (.f64 y y))`
0	0	-	-	`#s(literal 9 binary64)`
0	0	-	-	`#s(literal 4 binary64)`
0	0	-	-	`(pow.f64 y #s(literal 4 binary64))`
0	0	-	-	`y`
0	0	-	-	`#s(literal 2 binary64)`
0	1	(10864.0 18817.0)	-	`(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))`
0	0	-	-	`(pow.f64 x #s(literal 4 binary64))`
0	0	-	-	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
0	0	-	-	`(*.f64 y y)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))`	cancellation	1	0
`-.f64`	`(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
2	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 115 to 40 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 16.0ms (52.7% of total)

ival-pow: 9.0ms (29.7% of total)

ival-sub: 2.0ms (6.6% of total)

ival-add: 2.0ms (6.6% of total)

exact: 1.0ms (3.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess60.0ms (1.3%)

Memory

-5.8MiB live, 86.8MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	81
1	82	81
2	258	81
3	664	81
4	1208	81
5	1462	81
6	1745	81
7	1863	81
8	1867	81
9	1869	81
0	12	15
0	19	15
1	37	15
2	100	15
3	299	15
4	485	15
5	571	15
6	650	15
7	661	15
0	661	14

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))

Outputs

(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))

(fma.f64 (*.f64 #s(literal 2 binary64) y) y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 15 to 12 computations (20% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.8%	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))

Compiler

Compiled 15 to 12 computations (20% saved)

simplify16.0ms (0.3%)

Memory

-5.1MiB live, 41.2MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
cost-diff	1	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	19	48
1	37	48
2	100	48
3	299	48
4	485	48
5	571	48
6	650	48
7	661	48
0	661	47

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 9 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y
(.f64 #s(literal 2 binary64) (.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)

Outputs
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
#s(literal 9 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y
(.f64 #s(literal 2 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y y)

localize33.0ms (0.7%)

Memory

38.9MiB live, 85.3MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.0	(.f64 #s(literal 2 binary64) (.f64 y y))
accuracy	23.000000171982702	(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))

Samples

24.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

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

ival-pow: 7.0ms (48.6% of total)

ival-mult: 4.0ms (27.8% of total)

ival-sub: 1.0ms (6.9% of total)

ival-add: 1.0ms (6.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series60.0ms (1.3%)

Memory

-42.0MiB live, 20.8MiB allocated; 25ms collecting garbage

Counts

6 → 16

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(.f64 #s(literal 2 binary64) (.f64 y y))
(*.f64 y y)

Outputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* -1 (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(* 9 (pow x 4))
(pow x 4)
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(* 2 (pow y 2))
(pow y 2)
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))

Calls

6 calls:

Time	Variable		Point	Expression
53.0ms	y	@	0	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
2.0ms	x	@	inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms	x	@	0	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms	y	@	inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms	y	@	-inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))

simplify149.0ms (3.2%)

Memory

30.0MiB live, 214.5MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	167
1	111	167
2	292	163
3	1035	163
4	3706	159
5	7082	159
0	8128	154

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

Inputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* -1 (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(* 9 (pow x 4))
(pow x 4)
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(* 2 (pow y 2))
(pow y 2)
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))

Outputs
(- (* 2 (pow y 2)) (pow y 4))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(- (* 9 (pow x 4)) (pow y 4))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(.f64 (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(.f64 (-.f64 (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))

rewrite239.0ms (5.2%)

Memory

11.3MiB live, 327.8MiB allocated; 82ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	40
0	19	40
1	73	40
2	549	36
0	9373	36

Stop Event

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

Counts

6 → 760

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(.f64 #s(literal 2 binary64) (.f64 y y))
(*.f64 y y)

Outputs
(/.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 y #s(literal 8 binary64))) (+.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (-.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 y y)) (-.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 y y))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 y y)) (*.f64 y y)))
(/.f64 (-.f64 (.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 y y)) (+.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 y y))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 y y)) (*.f64 y y)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))) (.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))) (-.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
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(fma.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y) (pow.f64 y #s(literal 6 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 y (*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 y (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y y)) (pow.f64 y #s(literal 6 binary64)))
(fma.f64 y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 y (*.f64 y (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64)))
(fma.f64 y (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 y (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 y (-.f64 y (neg.f64 y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 y (fabs.f64 (*.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 y (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 y (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 y (neg.f64 y) (*.f64 (neg.f64 y) y))
(fma.f64 y y (*.f64 y y))
(fma.f64 #s(literal 4 binary64) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))))
(fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(-.f64 (.f64 y y) (.f64 (neg.f64 y) y))
(fabs.f64 (-.f64 (.f64 (neg.f64 y) y) (.f64 y y)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(hypot.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64)))
(hypot.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64)) (fabs.f64 (*.f64 #s(literal 2 binary64) y)))
(hypot.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)))
(hypot.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64)) (*.f64 #s(literal -2 binary64) y))
(hypot.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64)) (*.f64 #s(literal 2 binary64) y))
(hypot.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(hypot.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3/4 binary64)))
(hypot.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3/2 binary64)))
(hypot.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 y y) #s(literal 3/2 binary64)))
(hypot.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64)))
(hypot.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (fabs.f64 (*.f64 #s(literal 2 binary64) y)))
(hypot.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)))
(hypot.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y))
(hypot.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(hypot.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(hypot.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64)))
(hypot.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (.f64 #s(literal 2 binary64) y)) (fabs.f64 (.f64 #s(literal 2 binary64) y)))
(hypot.f64 (fabs.f64 (.f64 #s(literal 2 binary64) y)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)))
(hypot.f64 (fabs.f64 (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal -2 binary64) y))
(hypot.f64 (fabs.f64 (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 2 binary64) y))
(hypot.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(hypot.f64 (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3/4 binary64)))
(hypot.f64 (pow.f64 (.f64 (neg.f64 y) y) #s(literal 3/2 binary64)) (pow.f64 (.f64 (neg.f64 y) y) #s(literal 3/2 binary64)))
(hypot.f64 (pow.f64 (.f64 (neg.f64 y) y) #s(literal 3/2 binary64)) (pow.f64 (.f64 y y) #s(literal 3/2 binary64)))
(hypot.f64 (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (*.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3/4 binary64)))
(hypot.f64 (pow.f64 (.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (.f64 (neg.f64 y) y) #s(literal 3/2 binary64)))
(hypot.f64 (pow.f64 (.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (.f64 y y) #s(literal 3/2 binary64)))
(hypot.f64 (pow.f64 (*.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (*.f64 y y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3/4 binary64)))
(hypot.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3/2 binary64)))
(hypot.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3/2 binary64)))
(hypot.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(hypot.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64)))
(hypot.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(hypot.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (fabs.f64 (.f64 #s(literal 2 binary64) y)))
(hypot.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)))
(hypot.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) y))
(hypot.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 #s(literal 2 binary64) y))
(hypot.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(hypot.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64)))
(hypot.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(hypot.f64 (.f64 #s(literal -2 binary64) y) (fabs.f64 (.f64 #s(literal 2 binary64) y)))
(hypot.f64 (.f64 #s(literal -2 binary64) y) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)))
(hypot.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y))
(hypot.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))
(hypot.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(hypot.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 y) y))
(hypot.f64 (.f64 (neg.f64 y) y) (.f64 y y))
(hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3/4 binary64)))
(hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3/2 binary64)))
(hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3/2 binary64)))
(hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(hypot.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64)))
(hypot.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(hypot.f64 (.f64 #s(literal 2 binary64) y) (fabs.f64 (.f64 #s(literal 2 binary64) y)))
(hypot.f64 (.f64 #s(literal 2 binary64) y) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)))
(hypot.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal -2 binary64) y))
(hypot.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) y))
(hypot.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64)))
(hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fabs.f64 (*.f64 #s(literal 2 binary64) y)))
(hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)))
(hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y))
(hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) y))
(hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(hypot.f64 (neg.f64 y) (neg.f64 y))
(hypot.f64 (neg.f64 y) y)
(hypot.f64 (.f64 y y) (.f64 (neg.f64 y) y))
(hypot.f64 (.f64 y y) (.f64 y y))
(hypot.f64 y (neg.f64 y))
(hypot.f64 y y)
(exp.f64 (fma.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64) (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 4 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 4 binary64)))
(+.f64 (.f64 #s(literal 4 binary64) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))))
(+.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 y) y))
(+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 y y) (.f64 y y))
(+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))

eval90.0ms (2%)

Memory: -7.8MiB live, 136.4MiB allocated; 17ms collecting garbage
Compiler: Compiled 17 617 to 1 800 computations (89.8% saved)

prune14.0ms (0.3%)

Memory

1.3MiB live, 47.4MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	769	4	773
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	770	4	774

Accuracy

100.0%

Counts

774 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.1%	(fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) x) x (.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
▶	9.6%	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
▶	100.0%	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
▶	1.5%	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))

Compiler

Compiled 100 to 73 computations (27% saved)

simplify219.0ms (4.8%)

Memory

22.0MiB live, 311.7MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 9 binary64) (.f64 x x))
cost-diff	1	(.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
cost-diff	2	(.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) x)
cost-diff	2	(fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) x) x (.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 y y) #s(literal 2 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
cost-diff	0	(-.f64 #s(literal 2 binary64) (*.f64 y y))
cost-diff	0	(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
cost-diff	0	(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
cost-diff	0	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
cost-diff	0	(-.f64 #s(literal 2 binary64) (*.f64 y y))
cost-diff	0	(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
cost-diff	0	(.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
cost-diff	0	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	237
0	50	231
1	105	228
2	288	226
3	907	226
4	1962	226
5	2788	226
6	3472	226
7	4017	226
8	4685	226
0	8188	226

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
(-.f64 #s(literal 2 binary64) (*.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)
y
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
(-.f64 #s(literal 2 binary64) (*.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)
y
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(.f64 (.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
y
#s(literal 2 binary64)
(fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) x) x (.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) x)
(.f64 #s(literal 9 binary64) (.f64 x x))
#s(literal 9 binary64)
(*.f64 x x)
x
(.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(-.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
#s(literal 2 binary64)

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
(-.f64 #s(literal 2 binary64) (*.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)
y
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) y (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) y (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
(-.f64 #s(literal 2 binary64) (*.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)
y
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(.f64 (.f64 y y) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) y) y)
(*.f64 y y)
y
#s(literal 2 binary64)
(fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) x) x (.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
(neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) y (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 9 binary64))
#s(literal 9 binary64)
(*.f64 x x)
x
(.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(-.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
#s(literal 2 binary64)

localize85.0ms (1.8%)

Memory

-19.4MiB live, 121.9MiB allocated; 19ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(.f64 #s(literal 9 binary64) (.f64 x x))
accuracy	0.0	(neg.f64 y)
accuracy	61.99859042974503	(fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) x) x (.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(.f64 (.f64 y y) #s(literal 2 binary64))
accuracy	0.0	(*.f64 y y)
accuracy	57.8262914476167	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
accuracy	0.0	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
accuracy	0.0	(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
accuracy	0.0	(*.f64 y y)
accuracy	0.0	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
accuracy	0.0	(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
accuracy	0.0	(.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
accuracy	0.0	(*.f64 y y)
accuracy	63.038054683620885	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))

Samples

66.0ms

256×

valid

Compiler

Compiled 206 to 30 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 23.0ms (47.5% of total)

ival-pow: 17.0ms (35.1% of total)

ival-add: 4.0ms (8.3% of total)

ival-sub: 3.0ms (6.2% of total)

ival-neg: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Counts

18 → 34

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
(-.f64 #s(literal 2 binary64) (*.f64 y y))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))
(pow.f64 x #s(literal 4 binary64))
(.f64 (.f64 y y) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) x) x (.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) x)
(.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
(.f64 #s(literal 9 binary64) (.f64 x x))
(*.f64 y y)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(neg.f64 y)
(*.f64 x x)

Outputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* (pow y 2) (- 2 (pow y 2)))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(pow x 4)
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(* 9 (pow x 3))
(* 9 (pow x 2))
(* 9 (pow x 4))
(pow x 2)
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* 2 y)
(* y (+ 2 (* -1 (pow y 2))))
2
(+ 2 (* -1 (pow y 2)))
(pow y 2)
(* -1 y)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 3))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (* (- 2 (* y y)) y) y) (* (pow x 4) 9)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (pow x 4) (* (* y y) 2) (+ (* (* (* 9 (* x x)) x) x) (* (* (neg y) y) (- (* y y) 2))) (* (* 9 (* x x)) x) (* (* (neg y) y) (- (* y y) 2)) (* 9 (* x x)) (* y y) (* (pow x 4) 9) (neg y) (* x x))
2.0ms	x	@	-inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (* (- 2 (* y y)) y) y) (* (pow x 4) 9)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (pow x 4) (* (* y y) 2) (+ (* (* (* 9 (* x x)) x) x) (* (* (neg y) y) (- (* y y) 2))) (* (* 9 (* x x)) x) (* (* (neg y) y) (- (* y y) 2)) (* 9 (* x x)) (* y y) (* (pow x 4) 9) (neg y) (* x x))
2.0ms	x	@	inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (* (- 2 (* y y)) y) y) (* (pow x 4) 9)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (pow x 4) (* (* y y) 2) (+ (* (* (* 9 (* x x)) x) x) (* (* (neg y) y) (- (* y y) 2))) (* (* 9 (* x x)) x) (* (* (neg y) y) (- (* y y) 2)) (* 9 (* x x)) (* y y) (* (pow x 4) 9) (neg y) (* x x))
2.0ms	y	@	inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (* (- 2 (* y y)) y) y) (* (pow x 4) 9)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (pow x 4) (* (* y y) 2) (+ (* (* (* 9 (* x x)) x) x) (* (* (neg y) y) (- (* y y) 2))) (* (* 9 (* x x)) x) (* (* (neg y) y) (- (* y y) 2)) (* 9 (* x x)) (* y y) (* (pow x 4) 9) (neg y) (* x x))
2.0ms	y	@	-inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (* (- 2 (* y y)) y) y) (* (pow x 4) 9)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (pow x 4) (* (* y y) 2) (+ (* (* (* 9 (* x x)) x) x) (* (* (neg y) y) (- (* y y) 2))) (* (* 9 (* x x)) x) (* (* (neg y) y) (- (* y y) 2)) (* 9 (* x x)) (* y y) (* (pow x 4) 9) (neg y) (* x x))

simplify215.0ms (4.7%)

Memory

8.5MiB live, 140.1MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	301
1	201	299
2	566	299
3	2417	298
4	7853	298
0	8330	287

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 34

Calls

Call 1

Inputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* (pow y 2) (- 2 (pow y 2)))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(pow x 4)
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(* 9 (pow x 3))
(* 9 (pow x 2))
(* 9 (pow x 4))
(pow x 2)
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* 2 y)
(* y (+ 2 (* -1 (pow y 2))))
2
(+ 2 (* -1 (pow y 2)))
(pow y 2)
(* -1 y)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 3))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))

Outputs
(- (* 2 (pow y 2)) (pow y 4))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 2) (- 2 (pow y 2)))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* -1 (pow y 2))))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(* -1 y)
(neg.f64 y)
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 1 binary64))) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 3))
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 1 binary64)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))

rewrite384.0ms (8.3%)

Memory

-31.9MiB live, 284.6MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	188
0	50	188
1	208	178
2	1473	178
0	8652	171

Stop Event

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

Counts

18 → 669

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
(-.f64 #s(literal 2 binary64) (*.f64 y y))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))
(pow.f64 x #s(literal 4 binary64))
(.f64 (.f64 y y) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) x) x (.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) x)
(.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
(.f64 #s(literal 9 binary64) (.f64 x x))
(*.f64 y y)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(neg.f64 y)
(*.f64 x x)

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (*.f64 y y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y))
(.f64 (fma.f64 y y #s(literal 2 binary64)) (.f64 y y))
(.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) (*.f64 y y))
(.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y)
(.f64 (.f64 y y) (fma.f64 y y #s(literal 2 binary64)))
(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
(.f64 y (.f64 (fma.f64 y y #s(literal 2 binary64)) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y))) (fma.f64 (.f64 y y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) #s(literal 2 binary64))) (fma.f64 (*.f64 y y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y)) (*.f64 y y)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (.f64 (*.f64 #s(literal 2 binary64) y) y) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y)) (.f64 y y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (fma.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y)) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y)) (.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 12 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 (.f64 (*.f64 #s(literal 2 binary64) y) y) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 2 binary64) y) y))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 y y))) (neg.f64 (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 y y))) (neg.f64 (fma.f64 (fma.f64 y y #s(literal 2 binary64)) (*.f64 y y) #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 y y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y))))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 y y)) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 y y)) (fma.f64 (fma.f64 y y #s(literal 2 binary64)) (*.f64 y y) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64))) (+.f64 (fma.f64 (*.f64 y y) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 y y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 2 binary64) y) y)))))
(neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y))) y (pow.f64 y #s(literal 4 binary64)))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) y)) y (pow.f64 y #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 y) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) y (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) y (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) y (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (pow.f64 y #s(literal 4 binary64)))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 y) y) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 y) y) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 y) y) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y))
(fma.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 (.f64 y y) (.f64 y y) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y))
(fma.f64 (.f64 y y) (.f64 y y) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (.f64 y y) (.f64 y y) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 y (*.f64 (neg.f64 y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 y (pow.f64 y #s(literal 3 binary64)) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y))
(fma.f64 y (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 y (pow.f64 y #s(literal 3 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (fma.f64 (.f64 y y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y))))) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 2 binary64) y) y))))))
(-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y)) (.f64 y y))
(-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y))
(-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))
(-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y))
(+.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y))))) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 2 binary64) y) y))))))
(+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) (pow.f64 y #s(literal 4 binary64)))
(+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y))
(+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))
(+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y))
(*.f64 (fma.f64 y y #s(literal 2 binary64)) y)
(*.f64 y (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (neg.f64 y) y) y) (.f64 (.f64 (neg.f64 y) y) y))) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 (*.f64 (neg.f64 y) y) y)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (.f64 (.f64 y (.f64 (neg.f64 y) y)) (.f64 y (.f64 (neg.f64 y) y)))) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 y (*.f64 (neg.f64 y) y))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 (.f64 (neg.f64 y) y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) y) (.f64 (.f64 (neg.f64 y) y) y)) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 (.f64 (neg.f64 y) y) y)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 y (.f64 (neg.f64 y) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y (.f64 (neg.f64 y) y)) (.f64 y (.f64 (neg.f64 y) y))) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 y (.f64 (neg.f64 y) y))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) y)) (neg.f64 (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) y)) (neg.f64 (fma.f64 (fma.f64 y y #s(literal 2 binary64)) (.f64 y y) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 y (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (fma.f64 (fma.f64 y y #s(literal 2 binary64)) (.f64 y y) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) y) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) y) (fma.f64 (fma.f64 y y #s(literal 2 binary64)) (.f64 y y) #s(literal 4 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (.f64 y (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (fma.f64 y y #s(literal 2 binary64)) (.f64 y y) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) y (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 #s(literal 2 binary64) y (.f64 y (.f64 (neg.f64 y) y)))
(fma.f64 y #s(literal 2 binary64) (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 y #s(literal 2 binary64) (.f64 y (.f64 (neg.f64 y) y)))
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(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 9 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 x (.f64 x #s(literal 9 binary64)))
(.f64 #s(literal 9 binary64) (.f64 x x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y (neg.f64 (neg.f64 y)))
(*.f64 y y)
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
(.f64 (fabs.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (fabs.f64 (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 x x))
(.f64 (fabs.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) x)
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) x)
(.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fabs.f64 (.f64 (.f64 x x) #s(literal 9 binary64))))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(.f64 x (fabs.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)))
(fabs.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(fabs.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(neg.f64 y)
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.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 (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))
(neg.f64 (*.f64 x (neg.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (neg.f64 (*.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))))

eval172.0ms (3.7%)

Memory: 27.5MiB live, 297.5MiB allocated; 50ms collecting garbage
Compiler: Compiled 33 274 to 2 640 computations (92.1% saved)

prune30.0ms (0.6%)

Memory

-26.2MiB live, 70.1MiB allocated; 26ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	842	2	844
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	846	2	848

Accuracy

100.0%

Counts

848 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

100.0%

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64))))

▶

11.1%

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))

Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify173.0ms (3.8%)

Memory

-1.5MiB live, 188.4MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
cost-diff	0	(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))
cost-diff	0	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))
cost-diff	4	(.f64 (.f64 x x) (*.f64 x x))
cost-diff	0	#s(approx (- 2 (* y y)) #s(literal 2 binary64))
cost-diff	0	(.f64 #s(approx (- 2 ( y y)) #s(literal 2 binary64)) y)
cost-diff	0	(.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)
cost-diff	0	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	146
0	36	146
1	81	138
2	270	130
3	932	130
4	1926	128
5	2579	128
6	3175	128
7	3707	128
8	4399	128
9	6999	128
0	8015	128

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
(.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)
(.f64 #s(approx (- 2 ( y y)) #s(literal 2 binary64)) y)
#s(approx (- 2 (* y y)) #s(literal 2 binary64))
#s(literal 2 binary64)
y
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
(-.f64 #s(literal 2 binary64) (*.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)
y
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 9 binary64)

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
(.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)
(.f64 #s(approx (- 2 ( y y)) #s(literal 2 binary64)) y)
#s(approx (- 2 (* y y)) #s(literal 2 binary64))
#s(literal 2 binary64)
y
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
(-.f64 #s(literal 2 binary64) (*.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)
y
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)

localize52.0ms (1.1%)

Memory

5.3MiB live, 92.1MiB allocated; 17ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))
accuracy	0.0	(.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)
accuracy	0.0	(.f64 #s(approx (- 2 ( y y)) #s(literal 2 binary64)) y)
accuracy	63.01911743068786	#s(approx (- 2 (* y y)) #s(literal 2 binary64))
accuracy	63.038054683620885	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))

Samples

36.0ms

256×

valid

Compiler

Compiled 112 to 21 computations (81.3% saved)

Precisions

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

ival-mult: 11.0ms (53.5% of total)

ival-pow: 5.0ms (24.3% of total)

ival-sub: 2.0ms (9.7% of total)

ival-add: 2.0ms (9.7% 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)

series7.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Counts

10 → 26

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
(.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)
(.f64 #s(approx (- 2 ( y y)) #s(literal 2 binary64)) y)
#s(approx (- 2 (* y y)) #s(literal 2 binary64))
(.f64 (.f64 x x) (*.f64 x x))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
(*.f64 x x)
(*.f64 y y)

Outputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(pow x 4)
(* (pow y 2) (- 2 (pow y 2)))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(pow x 2)
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* 2 y)
(* y (+ 2 (* -1 (pow y 2))))
2
(+ 2 (* -1 (pow y 2)))
(pow y 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 3))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (* (* x x) (* x x)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (* (- 2 (* y y)) y) y) (* (* (* x x) (* x x)) 9)) (* (- 2 (* y y)) y) (* x x) (* y y))
1.0ms	x	@	-inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (* (* x x) (* x x)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (* (- 2 (* y y)) y) y) (* (* (* x x) (* x x)) 9)) (* (- 2 (* y y)) y) (* x x) (* y y))
1.0ms	x	@	0	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (* (* x x) (* x x)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (* (- 2 (* y y)) y) y) (* (* (* x x) (* x x)) 9)) (* (- 2 (* y y)) y) (* x x) (* y y))
1.0ms	y	@	-inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (* (* x x) (* x x)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (* (- 2 (* y y)) y) y) (* (* (* x x) (* x x)) 9)) (* (- 2 (* y y)) y) (* x x) (* y y))
1.0ms	y	@	inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (* (* x x) (* x x)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (* (- 2 (* y y)) y) y) (* (* (* x x) (* x x)) 9)) (* (- 2 (* y y)) y) (* x x) (* y y))

simplify203.0ms (4.4%)

Memory

-22.4MiB live, 168.6MiB allocated; 92ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	224
1	141	221
2	380	221
3	1499	221
4	5554	221
0	8159	214

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

Inputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(pow x 4)
(* (pow y 2) (- 2 (pow y 2)))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(pow x 2)
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* 2 y)
(* y (+ 2 (* -1 (pow y 2))))
2
(+ 2 (* -1 (pow y 2)))
(pow y 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 3))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))

Outputs
(- (* 2 (pow y 2)) (pow y 4))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow y 2) (- 2 (pow y 2)))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(+ (* 9 (pow x 4)) (* (pow y 2) (- 2 (pow y 2))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(pow x 2)
(*.f64 x x)
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- 2 (pow y 2))) (pow x 4))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* -1 (pow y 2))))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 1 binary64))) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 3))
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 1 binary64)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y)
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)

rewrite146.0ms (3.2%)

Memory

-21.9MiB live, 204.0MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	126
0	36	114
1	148	114
2	994	114
0	9189	103

Stop Event

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

Counts

10 → 240

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
(.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)
(.f64 #s(approx (- 2 ( y y)) #s(literal 2 binary64)) y)
#s(approx (- 2 (* y y)) #s(literal 2 binary64))
(.f64 (.f64 x x) (*.f64 x x))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
(*.f64 x x)
(*.f64 y y)

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
(.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 y y) #s(approx (- 2 (* y y)) #s(literal 2 binary64)))
(.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)
(.f64 #s(approx (- 2 ( y y)) #s(literal 2 binary64)) (*.f64 y y))
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(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) y) y (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -2 binary64) y) y (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 (.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y) (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64))) (fma.f64 (pow.f64 (fma.f64 y y #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 (.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y) (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(-.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y) (.f64 x (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(-.f64 (.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y) (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (-.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (.f64 (.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (-.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (.f64 (.f64 (*.f64 (fma.f64 y y #s(literal 2 binary64)) y) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (-.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (.f64 (.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (-.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (.f64 (.f64 (*.f64 (fma.f64 y y #s(literal 2 binary64)) y) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) y) y (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y) #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) y) y (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y) #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) y) y (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) y) y (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))))))
(+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (.f64 (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y) (*.f64 #s(literal -9 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (neg.f64 (*.f64 (neg.f64 y) (fma.f64 y y #s(literal 2 binary64)))) y))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal 2 binary64)))) (*.f64 y y)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (neg.f64 (neg.f64 y)) (*.f64 (fma.f64 y y #s(literal 2 binary64)) y)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (*.f64 (fma.f64 y y #s(literal 2 binary64)) y) y))
(*.f64 (fma.f64 y y #s(literal 2 binary64)) y)
(*.f64 y (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 (*.f64 (neg.f64 y) y) y)))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 y (*.f64 (neg.f64 y) y))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 (.f64 (neg.f64 y) y) y) #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 4 binary64) (-.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 (*.f64 (neg.f64 y) y) y)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 y (.f64 (neg.f64 y) y)) #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 4 binary64) (-.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 y (*.f64 (neg.f64 y) y))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) y)) (neg.f64 (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) y)) (neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 y (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) y) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) y) (fma.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y #s(literal 4 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (.f64 y (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 y y #s(literal 2 binary64)) y) y #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) y (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 #s(literal 2 binary64) y (.f64 y (.f64 (neg.f64 y) y)))
(fma.f64 y #s(literal 2 binary64) (.f64 (.f64 (neg.f64 y) y) y))
(fma.f64 y #s(literal 2 binary64) (.f64 y (.f64 (neg.f64 y) y)))
(-.f64 (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)))
(-.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 (*.f64 (neg.f64 y) y) y))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 y (*.f64 (neg.f64 y) y)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))
(.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 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 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))

eval56.0ms (1.2%)

Memory: -10.6MiB live, 89.8MiB allocated; 13ms collecting garbage
Compiler: Compiled 11 763 to 1 095 computations (90.7% saved)

prune9.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	290	0	290
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	290	2	292

Accuracy

100.0%

Counts

292 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64))))

✓

11.1%

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))

Compiler

Compiled 237 to 89 computations (62.4% saved)

regimes9.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) x) x (.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))

Calls

5 calls:

2.0ms	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
2.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
2.0ms	x
2.0ms	y
2.0ms	(pow.f64 x #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`(pow.f64 x #s(literal 4 binary64))`
100.0%	1	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
100.0%	1	`(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 25 to 26 computations (-4% saved)

regimes5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Accuracy

Total -6.2b remaining (-10.8%)

Threshold costs -6.2b (-10.8%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))

Calls

5 calls:

1.0ms	(pow.f64 x #s(literal 4 binary64))
1.0ms	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
1.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
11.1%	1	`(pow.f64 x #s(literal 4 binary64))`
11.1%	1	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
11.1%	1	`(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))`
11.1%	1	`x`
11.1%	1	`y`

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify48.0ms (1.1%)

Memory

-22.1MiB live, 67.0MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	61
1	49	61
2	130	61
3	330	61
4	516	61
5	625	61
6	860	61
7	2513	61
8	4167	61

Stop Event

1×	node limit

Calls

Call 1

Inputs

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64))))

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))

Outputs

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64))))

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))

derivations479.0ms (10.4%)

Memory

3.1MiB live, 323.4MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	188
0	50	188
1	208	178
2	1473	178
0	8652	171
0	69	301
1	201	299
2	566	299
3	2417	298
4	7853	298
0	8330	287
0	42	167
1	111	167
2	292	163
3	1035	163
4	3706	159
5	7082	159
0	8128	154

Stop Event

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

Compiler

Compiled 61 to 27 computations (55.7% saved)

preprocess23.0ms (0.5%)

Memory: 2.0MiB live, 46.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 152 to 78 computations (48.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (32%)

explain142.0ms (3.1%)

preprocess60.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.3%)

localize33.0ms (0.7%)

series60.0ms (1.3%)

simplify149.0ms (3.2%)

rewrite239.0ms (5.2%)

eval90.0ms (2%)

prune14.0ms (0.3%)

simplify219.0ms (4.8%)

localize85.0ms (1.8%)

series14.0ms (0.3%)

simplify215.0ms (4.7%)

rewrite384.0ms (8.3%)

eval172.0ms (3.7%)

prune30.0ms (0.6%)

simplify173.0ms (3.8%)

localize52.0ms (1.1%)

series7.0ms (0.1%)

simplify203.0ms (4.4%)

rewrite146.0ms (3.2%)

eval56.0ms (1.2%)

prune9.0ms (0.2%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

simplify48.0ms (1.1%)

derivations479.0ms (10.4%)

preprocess23.0ms (0.5%)

end0.0ms (0%)

Profiling