Metrics for From Rump in a 1983 paper, rewritten

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 17 computations (26.1% saved)

sample1.8s (35.6%)

Memory

-43.4MiB live, 1 947.7MiB allocated; 1.2s collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-pow: 593.0ms (54% of total)

ival-mult: 266.0ms (24.2% of total)

ival-sub: 141.0ms (12.8% of total)

ival-==: 61.0ms (5.6% of total)

exact: 20.0ms (1.8% of total)

ival-and: 12.0ms (1.1% of total)

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

adjust: 2.0ms (0.2% of total)

Bogosity

explain134.0ms (2.7%)

Memory

27.4MiB live, 126.9MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 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
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms

512×

valid

Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 9.0ms (46.5% of total)

ival-pow: 5.0ms (25.8% of total)

ival-sub: 4.0ms (20.7% of total)

exact: 1.0ms (5.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess239.0ms (4.8%)

Memory

-16.9MiB live, 26.9MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	79
1	67	79
2	171	77
3	347	77
4	545	77
5	592	77
6	598	77
7	601	77
0	11	15
0	17	15
1	30	15
2	69	15
3	153	15
4	236	15
5	250	15
6	254	15
7	257	15
0	257	15

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs y)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.1%	(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify7.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	17	45
1	30	45
2	69	45
3	153	45
4	236	45
5	250	45
6	254	45
7	257	45
0	257	45

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize98.0ms (2%)

Memory

-17.8MiB live, 26.6MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	61.99859042974503	(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))

Samples

17.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 4.0ms (43.2% of total)

ival-sub: 2.0ms (21.6% of total)

ival-pow: 2.0ms (21.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Counts

5 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify133.0ms (2.7%)

Memory

16.0MiB live, 118.3MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	141
1	106	141
2	297	141
3	1225	140
4	4231	138
5	7147	138
0	8275	132

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite250.0ms (5%)

Memory

-1.3MiB live, 235.1MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
0	17	35
1	63	35
2	427	35
3	4944	35
0	8480	34

Stop Event

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

Counts

5 → 166

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) (fma.f64 y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) (fma.f64 y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal 531441 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) (fma.f64 y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 6561 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) (fma.f64 y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))) (-.f64 (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) (fma.f64 y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))))) (fma.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) (fma.f64 y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) (fma.f64 y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
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(+.f64 (.f64 #s(literal 9 binary64) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (.f64 #s(literal 9 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (neg.f64 (.f64 (neg.f64 x) x)) (neg.f64 (*.f64 (neg.f64 x) x)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (neg.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(neg.f64 (.f64 (.f64 x x) (*.f64 (neg.f64 x) x)))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) y) y) (+.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) y) y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 y y) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) y) y) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) y) y) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))))
(.f64 (.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64))) y) y)
(.f64 (neg.f64 (-.f64 (.f64 y y) #s(literal 2 binary64))) (*.f64 y y))
(.f64 (.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) y) y)
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 y y) (fma.f64 y y #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) (/.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))))
(.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) (*.f64 y y))
(.f64 (.f64 y y) (neg.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64))))
(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
(.f64 y (.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) y))
(pow.f64 (.f64 (.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) y) y) #s(literal 1 binary64))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 y y)) (fma.f64 y y #s(literal -2 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64))) (.f64 y y)) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 y y) (neg.f64 (-.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) (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) y) y) (fma.f64 y y #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) y) y) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) y) y) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) y) y) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))))
(neg.f64 (.f64 (.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) y) y))
(exp.f64 (.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 y y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 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))))

eval28.0ms (0.6%)

Memory: 9.9MiB live, 56.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 411 to 662 computations (89.7% saved)

prune21.0ms (0.4%)

Memory

-29.6MiB live, 23.5MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	198	4	202
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	199	4	203

Accuracy

100.0%

Counts

203 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 99 to 69 computations (30.3% saved)

simplify224.0ms (4.5%)

Memory

10.7MiB live, 283.6MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	244
0	58	243
1	112	243
2	289	239
3	937	233
4	2077	233
5	3090	233
6	3925	233
7	4807	233
8	5799	233
9	7002	233
0	8002	232

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (3.3%)

Memory

-15.6MiB live, 198.7MiB allocated; 94ms collecting garbage

Localize:

Found 16 expressions of interest:

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

Samples

85.0ms

256×

valid

Compiler

Compiled 218 to 34 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 23.0ms (63.7% of total)

ival-add: 5.0ms (13.8% of total)

ival-sub: 3.0ms (8.3% of total)

ival-pow: 3.0ms (8.3% of total)

exact: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

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

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

series13.0ms (0.3%)

Memory

28.3MiB live, 28.3MiB allocated; 0ms collecting garbage

Counts

19 → 46

Calls

Call 1

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

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

Calls

6 calls:

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

simplify112.0ms (2.3%)

Memory

-29.0MiB live, 157.4MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	441
1	230	439
2	646	439
3	2793	436
0	8225	415

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 46

Calls

Call 1

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

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

rewrite273.0ms (5.5%)

Memory

32.2MiB live, 442.7MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	201
0	58	200
1	206	197
2	1409	194
0	8633	193

Stop Event

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

Counts

19 → 1 001

Calls

Call 1

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

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

eval227.0ms (4.6%)

Memory: 5.0MiB live, 425.4MiB allocated; 129ms collecting garbage
Compiler: Compiled 31 850 to 2 727 computations (91.4% saved)

prune21.0ms (0.4%)

Memory

28.7MiB live, 75.0MiB allocated; 4ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	916	2	918
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	920	2	922

Accuracy

100.0%

Counts

922 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

11.1%

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

▶

100.0%

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

Compiler

Compiled 61 to 38 computations (37.7% saved)

simplify179.0ms (3.6%)

Memory

-10.7MiB live, 218.8MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	156
0	36	156
1	77	156
2	249	148
3	929	138
4	1889	138
5	2482	138
6	2700	138
7	3051	138
8	3654	138
9	4615	138
10	7605	138
0	8154	138

Stop Event

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

Calls

Call 1

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

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

localize105.0ms (2.1%)

Memory

20.5MiB live, 120.1MiB allocated; 73ms collecting garbage

Localize:

Found 8 expressions of interest:

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

Samples

39.0ms

256×

valid

Compiler

Compiled 127 to 26 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 19.0ms (66.4% of total)

ival-sub: 3.0ms (10.5% of total)

ival-pow: 3.0ms (10.5% of total)

ival-add: 2.0ms (7% of total)

exact: 1.0ms (3.5% of total)

ival-neg: 1.0ms (3.5% of total)

adjust: 0.0ms (0% of total)

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

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

series15.0ms (0.3%)

Memory

-31.6MiB live, 16.0MiB allocated; 18ms collecting garbage

Counts

10 → 32

Calls

Call 1

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

Outputs
(* -9 (pow x 4))
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(* (pow y 2) (- (pow y 2) 2))
(+ (* -9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(pow x 2)
(* -9 (pow x 2))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (- (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)) 9))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(- (* 2 (pow y 2)) (* -9 (pow x 4)))
(- (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (* -9 (pow x 4)))
(+ (* -9 (pow x 4)) (* -2 (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)))
(* -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))
(pow y 4)
(* (pow y 4) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1 (* -9 (/ (pow x 4) (pow y 4)))) (* 2 (/ 1 (pow y 2)))))
(* -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
9.0ms	y	@	-inf	((* (* x x) (* (* x x) -9)) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (+ (* (* (+ (* y y) -2) y) y) (* (* x x) (* (* x x) -9)))) (+ (* (* (+ (* y y) -2) y) y) (* (* x x) (* (* x x) -9))) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (* x x) (* (* x x) -9))
1.0ms	x	@	-inf	((* (* x x) (* (* x x) -9)) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (+ (* (* (+ (* y y) -2) y) y) (* (* x x) (* (* x x) -9)))) (+ (* (* (+ (* y y) -2) y) y) (* (* x x) (* (* x x) -9))) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (* x x) (* (* x x) -9))
1.0ms	x	@	inf	((* (* x x) (* (* x x) -9)) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (+ (* (* (+ (* y y) -2) y) y) (* (* x x) (* (* x x) -9)))) (+ (* (* (+ (* y y) -2) y) y) (* (* x x) (* (* x x) -9))) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (* x x) (* (* x x) -9))
1.0ms	x	@	0	((* (* x x) (* (* x x) -9)) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (+ (* (* (+ (* y y) -2) y) y) (* (* x x) (* (* x x) -9)))) (+ (* (* (+ (* y y) -2) y) y) (* (* x x) (* (* x x) -9))) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (* x x) (* (* x x) -9))
1.0ms	y	@	inf	((* (* x x) (* (* x x) -9)) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (+ (* (* (+ (* y y) -2) y) y) (* (* x x) (* (* x x) -9)))) (+ (* (* (+ (* y y) -2) y) y) (* (* x x) (* (* x x) -9))) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (* x x) (* (* x x) -9))

simplify124.0ms (2.5%)

Memory

41.0MiB live, 228.4MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	302
1	162	299
2	444	299
3	1850	297
4	6252	297
0	8243	283

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

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

rewrite146.0ms (2.9%)

Memory

16.0MiB live, 296.8MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	140
0	36	123
1	139	123
2	1017	118
0	9359	118

Stop Event

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

Counts

10 → 611

Calls

Call 1

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

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

eval48.0ms (1%)

Memory: -17.6MiB live, 127.6MiB allocated; 12ms collecting garbage
Compiler: Compiled 14 084 to 1 065 computations (92.4% saved)

prune13.0ms (0.3%)

Memory

-3.5MiB live, 42.9MiB allocated; 2ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	371	0	371
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	371	2	373

Accuracy

100.0%

Counts

373 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

11.1%

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

✓

100.0%

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

Compiler

Compiled 236 to 89 computations (62.3% saved)

regimes41.0ms (0.8%)

Memory

-20.5MiB live, 76.0MiB allocated; 17ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

7 calls:

29.0ms	(pow.f64 x #s(literal 4 binary64))
3.0ms	(*.f64 y y)
2.0ms	(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
2.0ms	(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
2.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))

Results

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

Compiler

Compiled 37 to 34 computations (8.1% saved)

regimes7.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB 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)) (* (* y y) (- (* y y) 2))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 37 to 34 computations (8.1% saved)

simplify41.0ms (0.8%)

Memory

-0.1MiB live, 46.3MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	61
1	46	61
2	91	61
3	185	61
4	278	61
5	317	61
6	477	61
7	2241	61
8	3868	61

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

Outputs

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

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

derivations499.0ms (10%)

Memory

40.9MiB live, 454.1MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	201
0	58	200
1	206	197
2	1409	194
0	8633	193
0	39	141
1	106	141
2	297	141
3	1225	140
4	4231	138
5	7147	138
0	8275	132
0	82	441
1	230	439
2	646	439
3	2793	436
0	8225	415

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)

preprocess38.0ms (0.8%)

Memory: -29.8MiB live, 66.2MiB allocated; 12ms collecting garbage
Remove: (abs y)
Compiler: Compiled 220 to 118 computations (46.4% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	27	79
1	67	79
2	171	77
3	347	77
4	545	77
5	592	77
6	598	77
7	601	77
0	11	15
0	17	15
1	30	15
2	69	15
3	153	15
4	236	15
5	250	15
6	254	15
7	257	15
0	257	15

Iter	Nodes	Cost
0	27	79
1	67	79
2	171	77
3	347	77
4	545	77
5	592	77
6	598	77
7	601	77
0	11	15
0	17	15
1	30	15
2	69	15
3	153	15
4	236	15
5	250	15
6	254	15
7	257	15
0	257	15

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (35.6%)

explain134.0ms (2.7%)

preprocess239.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.1%)

localize98.0ms (2%)

series6.0ms (0.1%)

simplify133.0ms (2.7%)

rewrite250.0ms (5%)

eval28.0ms (0.6%)

prune21.0ms (0.4%)

simplify224.0ms (4.5%)

localize164.0ms (3.3%)

series13.0ms (0.3%)

simplify112.0ms (2.3%)

rewrite273.0ms (5.5%)

eval227.0ms (4.6%)

prune21.0ms (0.4%)

simplify179.0ms (3.6%)

localize105.0ms (2.1%)

series15.0ms (0.3%)

simplify124.0ms (2.5%)

rewrite146.0ms (2.9%)

eval48.0ms (1%)

prune13.0ms (0.3%)

regimes41.0ms (0.8%)

regimes7.0ms (0.1%)

simplify41.0ms (0.8%)

derivations499.0ms (10%)

preprocess38.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	79
1	67	79
2	171	77
3	347	77
4	545	77
5	592	77
6	598	77
7	601	77
0	11	15
0	17	15
1	30	15
2	69	15
3	153	15
4	236	15
5	250	15
6	254	15
7	257	15
0	257	15