Metrics for From Rump in a 1983 paper, rewritten

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample655.0ms (38%)

Memory

63.0MiB live, 853.6MiB allocated; 138ms collecting garbage

Samples

403.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-mult!: 95.0ms (43.4% of total)

ival-pow: 86.0ms (39.3% of total)

ival-sub!: 36.0ms (16.5% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess113.0ms (6.5%)

Memory

-13.9MiB live, 30.9MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	92
1	93	92
2	341	90
3	1285	90
4	4341	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 24 to 22 computations (8.3% saved)

series7.0ms (0.4%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

11 → 20

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 (* (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) (- 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)

rewrite187.0ms (10.9%)

Memory

4.1MiB live, 230.6MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	427
0	81	414
1	361	412
2	2754	411
0	8649	369
1	26439	369

Stop Event

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

Counts

31 → 341

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

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

eval39.0ms (2.3%)

Memory: 0.2MiB live, 103.5MiB allocated; 20ms collecting garbage
Compiler: Compiled 2 697 to 953 computations (64.7% saved)

prune52.0ms (3%)

Memory

-21.4MiB live, 24.3MiB allocated; 7ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	328	3	331
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	329	3	332

Accuracy

100.0%

Counts

332 → 3

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

(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)))

▶

9.6%

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

▶

9.6%

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

Compiler

Compiled 42 to 40 computations (4.8% saved)

series12.0ms (0.7%)

Memory

33.8MiB live, 33.8MiB allocated; 0ms collecting garbage

Counts

20 → 29

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (* y y) y) y) (* (* y y) y) (* y y) y (- (* 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) (+ (* (neg y) (* (+ (* y y) -2) y)) (* (pow x 4) 9)) (neg y) (* (+ (* y y) -2) y) (+ (* y y) -2) -2 (* (pow x 4) 9))
2.0ms	y	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (* y y) y) y) (* (* y y) y) (* y y) y (- (* 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) (+ (* (neg y) (* (+ (* y y) -2) y)) (* (pow x 4) 9)) (neg y) (* (+ (* y y) -2) y) (+ (* y y) -2) -2 (* (pow x 4) 9))
2.0ms	y	@	0	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (* y y) y) y) (* (* y y) y) (* y y) y (- (* 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) (+ (* (neg y) (* (+ (* y y) -2) y)) (* (pow x 4) 9)) (neg y) (* (+ (* y y) -2) y) (+ (* y y) -2) -2 (* (pow x 4) 9))
2.0ms	x	@	0	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (* y y) y) y) (* (* y y) y) (* y y) y (- (* 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) (+ (* (neg y) (* (+ (* y y) -2) y)) (* (pow x 4) 9)) (neg y) (* (+ (* y y) -2) y) (+ (* y y) -2) -2 (* (pow x 4) 9))
1.0ms	x	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (* y y) y) y) (* (* y y) y) (* y y) y (- (* 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) (+ (* (neg y) (* (+ (* y y) -2) y)) (* (pow x 4) 9)) (neg y) (* (+ (* y y) -2) y) (+ (* y y) -2) -2 (* (pow x 4) 9))

rewrite196.0ms (11.4%)

Memory

-47.7MiB live, 107.7MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	634
0	131	593
1	523	248
2	4686	245
0	8514	229
1	13769	229

Stop Event

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

Counts

49 → 153

Calls

Call 1

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

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

eval12.0ms (0.7%)

Memory: 34.8MiB live, 34.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 813 to 330 computations (59.4% saved)

prune3.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	126	1	127

Accuracy

100.0%

Counts

127 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(approx (* (* (* y y) y) y) #s(literal 1 binary64)))

Compiler

Compiled 18 to 16 computations (11.1% saved)

series37.0ms (2.1%)

Memory

-35.8MiB live, 8.4MiB allocated; 7ms collecting garbage

Counts

3 → 10

Calls

Call 1

Inputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(approx (* (* (* y y) y) y) #s(literal 1 binary64)))
#s(approx (* (* (* y y) y) y) #s(literal 1 binary64))
#s(literal 1 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)) (* (* 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) #s(hole binary64 (pow y 4)))
#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
34.0ms	x	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (* y y) y) y) 1)
1.0ms	x	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (* y y) y) y) 1)
1.0ms	y	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (* y y) y) y) 1)
1.0ms	y	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (* y y) y) y) 1)
0.0ms	y	@	0	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (* y y) y) y) 1)

rewrite205.0ms (11.9%)

Memory

37.8MiB live, 214.8MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	311
0	53	296
1	319	288
2	2611	287
0	8611	256
1	25888	256

Stop Event

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

Counts

13 → 13

Calls

Call 1

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

eval1.0ms (0.1%)

Memory: 3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 134 to 50 computations (62.7% saved)

prune1.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	9	0	9
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	1	10

Accuracy

100.0%

Counts

10 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(approx (* (* (* y y) y) y) #s(literal 1 binary64)))

Compiler

Compiled 65 to 54 computations (16.9% saved)

regimes13.0ms (0.8%)

Memory

-16.8MiB live, 27.6MiB allocated; 6ms collecting garbage

Accuracy

Total -62.0b remaining (-∞%)

Threshold costs -62b (-∞%)

Counts

5 → 1

Calls

Call 1

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

Calls

7 calls:

5.0ms	(*.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
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 30 to 34 computations (-13.3% saved)

derivations178.0ms (10.4%)

Memory

-16.5MiB live, 84.2MiB allocated; 22ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 18 to 16 computations (11.1% saved)

preprocess9.0ms (0.5%)

Memory

23.9MiB live, 23.9MiB allocated; 0ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 102 to 91 computations (10.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample655.0ms (38%)

preprocess113.0ms (6.5%)

series7.0ms (0.4%)

rewrite187.0ms (10.9%)

eval39.0ms (2.3%)

prune52.0ms (3%)

series12.0ms (0.7%)

rewrite196.0ms (11.4%)

eval12.0ms (0.7%)

prune3.0ms (0.2%)

series37.0ms (2.1%)

rewrite205.0ms (11.9%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

regimes13.0ms (0.8%)

derivations178.0ms (10.4%)

preprocess9.0ms (0.5%)

end0.0ms (0%)

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