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)

sample1.6s (71.2%)

Memory

-86.1MiB live, 912.1MiB allocated; 1.4s collecting garbage

Samples

799.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 490.0ms

ival-mult!: 340.0ms (69.3% of total)

ival-pow: 109.0ms (22.2% of total)

ival-sub!: 39.0ms (8% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain105.0ms (4.6%)

Memory

-24.8MiB live, 219.8MiB allocated; 24ms 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

32.0ms

512×

valid

Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions

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

ival-mult!: 9.0ms (54.1% of total)

ival-pow: 6.0ms (36.1% of total)

ival-sub!: 2.0ms (12% of total)

adjust: 0.0ms (0% of total)

preprocess54.0ms (2.4%)

Memory

-11.6MiB live, 35.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	28	94
1	68	94
2	178	92
3	396	92
4	759	92
5	2134	90
6	5995	90

Stop Event

1×	node-limit

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))))

Symmetry

(abs x)

(abs y)

Compiler

Compiled 30 to 22 computations (26.7% saved)

series8.0ms (0.3%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Counts

11 → 22

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
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* -1 (* (pow y 2) (- (pow y 2) 2)))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))))
#s(approx (* 9 (pow x 4)) #s(hole binary64 (* 9 (pow x 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* 9 (pow x 4))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (+ (* 2 (pow y 2)) (* 9 (pow x 4)))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))))
#s(approx (* (* y y) (- (* y y) 2)) #s(hole binary64 (* -2 (pow y 2))))
#s(approx (* (* y y) (- (* y y) 2)) #s(hole binary64 (* (pow y 2) (- (pow y 2) 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (- (* y y) 2) #s(hole binary64 -2))
#s(approx (- (* y y) 2) #s(hole binary64 (- (pow y 2) 2)))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))))
#s(approx (* (* y y) (- (* y y) 2)) #s(hole binary64 (pow y 4)))
#s(approx (* (* y y) (- (* y y) 2)) #s(hole binary64 (* (pow y 4) (- 1 (* 2 (/ 1 (pow y 2)))))))
#s(approx (- (* y y) 2) #s(hole binary64 (pow y 2)))
#s(approx (- (* y y) 2) #s(hole binary64 (* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))))

Calls

6 calls:

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

rewrite102.0ms (4.5%)

Memory

-17.9MiB live, 126.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	457
0	83	445
1	323	443
0	2380	411

Stop Event

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

Counts

33 → 130

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)
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* -1 (* (pow y 2) (- (pow y 2) 2)))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))))
#s(approx (* 9 (pow x 4)) #s(hole binary64 (* 9 (pow x 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* 9 (pow x 4))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (+ (* 2 (pow y 2)) (* 9 (pow x 4)))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))))
#s(approx (* (* y y) (- (* y y) 2)) #s(hole binary64 (* -2 (pow y 2))))
#s(approx (* (* y y) (- (* y y) 2)) #s(hole binary64 (* (pow y 2) (- (pow y 2) 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (- (* y y) 2) #s(hole binary64 -2))
#s(approx (- (* y y) 2) #s(hole binary64 (- (pow y 2) 2)))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))))
#s(approx (* (* y y) (- (* y y) 2)) #s(hole binary64 (pow y 4)))
#s(approx (* (* y y) (- (* y y) 2)) #s(hole binary64 (* (pow y 4) (- 1 (* 2 (/ 1 (pow y 2)))))))
#s(approx (- (* y y) 2) #s(hole binary64 (pow y 2)))
#s(approx (- (* y y) 2) #s(hole binary64 (* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))))

Outputs
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 729 binary64) (pow.f64 (.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (neg.f64 y) (*.f64 (fma.f64 y y #s(literal -2 binary64)) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y) #s(literal 2 binary64)))) (neg.f64 (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 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.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))) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)) (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 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 (fma.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))) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -2 binary64))) (.f64 y y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x x) (.f64 (neg.f64 y) (*.f64 (fma.f64 y y #s(literal -2 binary64)) y)))
(fma.f64 (.f64 #s(literal -1 binary64) y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (neg.f64 (fma.f64 y y #s(literal -2 binary64))) (.f64 y y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 (neg.f64 y) (*.f64 (fma.f64 y y #s(literal -2 binary64)) y)))
(fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (.f64 y y) (.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (.f64 y y) (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (.f64 y y) (neg.f64 (fma.f64 y y #s(literal -2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 #s(literal -1 binary64) (.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 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (fma.f64 y y #s(literal -2 binary64)) (.f64 (neg.f64 y) y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y)))
(fma.f64 y (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 y (neg.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y)))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #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 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (fma.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))) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 (fma.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))) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal 1 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 (.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y)) #s(literal -1 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 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) 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 y) (*.f64 (fma.f64 y y #s(literal -2 binary64)) y)))
(.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)))
#s(literal 9 binary64)
(.f64 (neg.f64 (.f64 x x)) (neg.f64 (*.f64 x x)))
(.f64 (fabs.f64 (.f64 x x)) (fabs.f64 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.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))))
x
#s(literal 4 binary64)
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)
(.f64 (neg.f64 y) (.f64 (neg.f64 y) (fma.f64 y y #s(literal -2 binary64))))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (fma.f64 y y #s(literal -2 binary64))))
(.f64 (.f64 y y) (fma.f64 y y #s(literal -2 binary64)))
(.f64 (fma.f64 y y #s(literal -2 binary64)) (.f64 y y))
(.f64 y (.f64 (fma.f64 y y #s(literal -2 binary64)) y))
(/.f64 (.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 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) (.f64 y y)) (fma.f64 #s(literal 2 binary64) (fma.f64 y y #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64))) (fma.f64 #s(literal 2 binary64) (fma.f64 y y #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) y) y)
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.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))))
y
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 y y #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 y y #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) #s(literal -2 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (.f64 #s(literal 1 binary64) (fabs.f64 y)) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y) #s(literal -2 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) y) y #s(literal -2 binary64))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) #s(literal -2 binary64))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) #s(literal -2 binary64))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) #s(literal -2 binary64))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal -2 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal -2 binary64))
(fma.f64 (fabs.f64 y) (fabs.f64 y) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal -2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(-.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 y y #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 y y #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (*.f64 y y) #s(literal 2 binary64))
(+.f64 (*.f64 y y) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y)))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
#s(approx (* 9 (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx x x)
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.f64 (fma.f64 (.f64 (neg.f64 y) y) (/.f64 (fma.f64 y y #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) #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 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
#s(approx (* (* y y) (- (* y y) 2)) (.f64 #s(literal -2 binary64) (.f64 y y)))
#s(approx (* (* y y) (- (* y y) 2)) (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (- (* y y) 2) #s(literal -2 binary64))
#s(approx (- (* y y) 2) (fma.f64 y y #s(literal -2 binary64)))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (* y y) (- (* y y) 2)) (pow.f64 y #s(literal 4 binary64)))
#s(approx (* (* y y) (- (* y y) 2)) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (* y y) 2) (*.f64 y y))
#s(approx (- (* y y) 2) (.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) y) y))

eval15.0ms (0.7%)

Memory: 32.7MiB live, 32.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 987 to 482 computations (83.9% saved)

prune5.0ms (0.2%)

Memory

9.9MiB live, 9.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	146	3	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	147	3	150

Accuracy

100.0%

Counts

150 → 3

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

▶

9.6%

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

▶

1.5%

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

Compiler

Compiled 55 to 42 computations (23.6% saved)

series12.0ms (0.5%)

Memory

-28.0MiB live, 17.1MiB allocated; 4ms collecting garbage

Counts

15 → 30

Calls

Call 1

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

Outputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* -1 (* (pow y 2) (- (pow y 2) 2)))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))))
#s(approx (* (pow x 4) 9) #s(hole binary64 (* 9 (pow x 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* y y) -2) (* (neg y) y)) (* (pow x 4) 9)) #s(hole binary64 (* -1 (* (pow y 2) (- (pow y 2) 2)))))
#s(approx (+ (* (+ (* y y) -2) (* (neg y) y)) (* (pow x 4) 9)) #s(hole binary64 (+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* 9 (pow x 4))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))))
#s(approx (+ (* (+ (* y y) -2) (* (neg y) y)) (* (pow x 4) 9)) #s(hole binary64 (* 9 (pow x 4))))
#s(approx (+ (* (+ (* y y) -2) (* (neg y) y)) (* (pow x 4) 9)) #s(hole binary64 (* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (+ (* 2 (pow y 2)) (* 9 (pow x 4)))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))))
#s(approx (neg (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (pow y 4) #s(hole binary64 (pow y 4)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (+ (* y y) -2) (* (neg y) y)) (* (pow x 4) 9)) #s(hole binary64 (+ (* 2 (pow y 2)) (* 9 (pow x 4)))))
#s(approx (+ (* (+ (* y y) -2) (* (neg y) y)) (* (pow x 4) 9)) #s(hole binary64 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))))
#s(approx (+ (* y y) -2) #s(hole binary64 -2))
#s(approx (+ (* y y) -2) #s(hole binary64 (- (pow y 2) 2)))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))))
#s(approx (+ (* (+ (* y y) -2) (* (neg y) y)) (* (pow x 4) 9)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (+ (* (+ (* y y) -2) (* (neg y) y)) (* (pow x 4) 9)) #s(hole binary64 (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))))
#s(approx (+ (* (+ (* y y) -2) (* (neg y) y)) (* (pow x 4) 9)) #s(hole binary64 (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))))
#s(approx (+ (* y y) -2) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) -2) #s(hole binary64 (* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (pow y 4)) (pow y 4) y 4 (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (pow x 4) 9) (pow x 4) x 9 (+ (* (+ (* y y) -2) (* (neg y) y)) (* (pow x 4) 9)) (+ (* y y) -2) -2 (* (neg y) y) (neg y))
2.0ms	y	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (pow y 4)) (pow y 4) y 4 (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (pow x 4) 9) (pow x 4) x 9 (+ (* (+ (* y y) -2) (* (neg y) y)) (* (pow x 4) 9)) (+ (* y y) -2) -2 (* (neg y) y) (neg y))
1.0ms	y	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (pow y 4)) (pow y 4) y 4 (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (pow x 4) 9) (pow x 4) x 9 (+ (* (+ (* y y) -2) (* (neg y) y)) (* (pow x 4) 9)) (+ (* y y) -2) -2 (* (neg y) y) (neg y))
1.0ms	x	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (pow y 4)) (pow y 4) y 4 (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (pow x 4) 9) (pow x 4) x 9 (+ (* (+ (* y y) -2) (* (neg y) y)) (* (pow x 4) 9)) (+ (* y y) -2) -2 (* (neg y) y) (neg y))
1.0ms	x	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (pow y 4)) (pow y 4) y 4 (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (pow x 4) 9) (pow x 4) x 9 (+ (* (+ (* y y) -2) (* (neg y) y)) (* (pow x 4) 9)) (+ (* y y) -2) -2 (* (neg y) y) (neg y))

rewrite112.0ms (4.9%)

Memory

43.5MiB live, 173.5MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	707
0	104	693
1	397	662
0	2889	651

Stop Event

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

Counts

45 → 201

Calls

Call 1

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

Outputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(.f64 (.f64 (*.f64 (neg.f64 y) y) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 (*.f64 (neg.f64 y) y) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 (*.f64 (neg.f64 y) y) y) y)
(.f64 (.f64 (*.f64 y y) (neg.f64 y)) y)
(.f64 (.f64 (*.f64 y y) y) (neg.f64 y))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (*.f64 (neg.f64 y) y)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
(.f64 (neg.f64 y) (.f64 y (*.f64 y y)))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)))
(.f64 (.f64 y y) (*.f64 (neg.f64 y) y))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(.f64 y (.f64 (neg.f64 y) (*.f64 y y)))
(.f64 y (.f64 y (*.f64 (neg.f64 y) y)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 y) y) (neg.f64 y)) y)
(.f64 (.f64 (*.f64 (neg.f64 y) y) y) (neg.f64 y))
(.f64 (.f64 (*.f64 y y) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 (*.f64 y y) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 (*.f64 y y) y) y)
(.f64 (.f64 (fabs.f64 y) (neg.f64 y)) (*.f64 (fabs.f64 y) (neg.f64 y)))
(.f64 (.f64 (fabs.f64 y) y) (*.f64 (fabs.f64 y) y))
(.f64 (.f64 (neg.f64 y) (fabs.f64 y)) (*.f64 (neg.f64 y) (fabs.f64 y)))
(.f64 (.f64 y (fabs.f64 y)) (*.f64 y (fabs.f64 y)))
(.f64 (fabs.f64 (.f64 (neg.f64 y) y)) (fabs.f64 (*.f64 (neg.f64 y) y)))
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(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) #s(literal -2 binary64))
(fma.f64 y (*.f64 #s(literal -1 binary64) (neg.f64 y)) #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(-.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 y y #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 y y #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (*.f64 y y) #s(literal 2 binary64))
(-.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) y))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 y y #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 y y #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (*.f64 y y) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 y y))
#s(literal -2 binary64)
(.f64 (.f64 #s(literal -1 binary64) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal -1 binary64)))
(*.f64 (fabs.f64 y) (neg.f64 (fabs.f64 y)))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) y)
(.f64 (.f64 y y) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y y))
(*.f64 y (neg.f64 y))
(neg.f64 (*.f64 y y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 (*.f64 y #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) y))
(neg.f64 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)))
#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))))
#s(approx (* (pow x 4) 9) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx x x)
#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)))
#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))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.f64 (fma.f64 (.f64 (neg.f64 y) y) (/.f64 (fma.f64 y y #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.f64 (fma.f64 (.f64 (neg.f64 y) y) (/.f64 (fma.f64 y y #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) #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 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (fma.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
#s(approx (neg (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (pow y 4) (pow.f64 y #s(literal 4 binary64)))
#s(approx y y)
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (fma.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
#s(approx (+ (* y y) -2) #s(literal -2 binary64))
#s(approx (+ (* y y) -2) (fma.f64 y y #s(literal -2 binary64)))
#s(approx (* (neg y) y) (*.f64 (neg.f64 y) y))
#s(approx (neg y) (neg.f64 y))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* y y) -2) (*.f64 y y))
#s(approx (+ (* y y) -2) (.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) y) y))

eval25.0ms (1.1%)

Memory: -14.7MiB live, 31.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 4 302 to 537 computations (87.5% saved)

prune8.0ms (0.4%)

Memory

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

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	192	4	196

Accuracy

100.0%

Counts

196 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 78 to 59 computations (24.4% saved)

series5.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

7 → 13

Calls

Call 1

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

Outputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* -1 (* (pow y 2) (- (pow y 2) 2)))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))))
#s(approx (* (pow (pow x -2) -2) 9) #s(hole binary64 (* 9 (pow x 4))))
#s(approx (pow (pow x -2) -2) #s(hole binary64 (pow x 4)))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* 9 (pow x 4))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (+ (* 2 (pow y 2)) (* 9 (pow x 4)))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(hole binary64 (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (pow (pow x -2) -2) 9) (pow (pow x -2) -2) (pow x -2) x -2 9)
1.0ms	x	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (pow (pow x -2) -2) 9) (pow (pow x -2) -2) (pow x -2) x -2 9)
1.0ms	x	@	0	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (pow (pow x -2) -2) 9) (pow (pow x -2) -2) (pow x -2) x -2 9)
0.0ms	y	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (pow (pow x -2) -2) 9) (pow (pow x -2) -2) (pow x -2) x -2 9)
0.0ms	y	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (pow (pow x -2) -2) 9) (pow (pow x -2) -2) (pow x -2) x -2 9)

rewrite96.0ms (4.2%)

Memory

-32.1MiB live, 73.5MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	340
0	67	320
1	308	318
0	2373	300

Stop Event

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

Counts

20 → 58

Calls

Call 1

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

Outputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(.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 (.f64 (*.f64 x x) x) x)
(.f64 (fabs.f64 (.f64 x x)) (fabs.f64 (*.f64 x x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.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 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) (fabs.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal -1 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))))
x
#s(literal -2 binary64)
#s(literal 9 binary64)
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y)))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
#s(approx (* (pow (pow x -2) -2) 9) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
#s(approx (pow (pow x -2) -2) (pow.f64 x #s(literal 4 binary64)))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx x x)
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.f64 (fma.f64 (.f64 (neg.f64 y) y) (/.f64 (fma.f64 y y #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) #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 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64))))

eval5.0ms (0.2%)

Memory: 7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 284 to 231 computations (82% saved)

prune4.0ms (0.2%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	48	4	52

Accuracy

100.0%

Counts

52 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 171 to 93 computations (45.6% saved)

regimes10.0ms (0.4%)

Memory

-27.6MiB live, 19.3MiB allocated; 2ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Calls

7 calls:

2.0ms	(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
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 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
1.0ms	(pow.f64 x #s(literal 4 binary64))
1.0ms	y

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 (0.3%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
9.6%	1	`(*.f64 y y)`
9.6%	1	`(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))`
9.6%	1	`(pow.f64 x #s(literal 4 binary64))`
9.6%	1	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
9.6%	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))))`
9.6%	1	`x`
9.6%	1	`y`

Compiler

Compiled 37 to 34 computations (8.1% saved)

regimes5.0ms (0.2%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
1.5%	1	`(*.f64 y y)`
1.5%	1	`(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))`
1.5%	1	`(pow.f64 x #s(literal 4 binary64))`
1.5%	1	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
1.5%	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))))`
1.5%	1	`x`
1.5%	1	`y`

Compiler

Compiled 37 to 34 computations (8.1% saved)

derivations32.0ms (1.4%)

Memory

-8.9MiB live, 37.6MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 55 to 24 computations (56.4% saved)

preprocess46.0ms (2%)

Memory

4.7MiB live, 53.8MiB allocated; 32ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 360 to 238 computations (33.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (71.2%)

explain105.0ms (4.6%)

preprocess54.0ms (2.4%)

series8.0ms (0.3%)

rewrite102.0ms (4.5%)

eval15.0ms (0.7%)

prune5.0ms (0.2%)

series12.0ms (0.5%)

rewrite112.0ms (4.9%)

eval25.0ms (1.1%)

prune8.0ms (0.4%)

series5.0ms (0.2%)

rewrite96.0ms (4.2%)

eval5.0ms (0.2%)

prune4.0ms (0.2%)

regimes10.0ms (0.4%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

derivations32.0ms (1.4%)

preprocess46.0ms (2%)

end0.0ms (0%)

Profiling