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

0.6MiB live, 0.6MiB 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)

sample1.1s (54.3%)

Memory

-10.6MiB live, 1 300.0MiB allocated; 337ms collecting garbage

Samples

777.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 515.0ms

ival-mult: 222.0ms (43.1% of total)

ival-pow: 193.0ms (37.5% of total)

ival-sub: 80.0ms (15.5% of total)

exact: 15.0ms (2.9% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain170.0ms (8.8%)

Memory

4.6MiB live, 195.4MiB allocated; 20ms 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

37.0ms

512×

valid

Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions

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

ival-mult: 9.0ms (46.3% of total)

ival-pow: 5.0ms (25.7% of total)

ival-sub: 4.0ms (20.6% of total)

exact: 1.0ms (5.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess198.0ms (10.2%)

Memory

46.3MiB live, 136.8MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (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
0	11	15
0	17	15
1	30	15
2	72	15
3	181	15
4	362	15
5	1054	15
6	5798	15
0	8636	14

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x)

(abs y)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

series25.0ms (1.3%)

Memory

-38.8MiB live, 7.6MiB allocated; 3ms 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
18.0ms	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	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	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)

rewrite195.0ms (10.1%)

Memory

-11.7MiB live, 141.3MiB allocated; 36ms 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 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -2 binary64))) (.f64 y y)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 9 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y) (.f64 y y)) (fma.f64 y y #s(literal -2 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -2 binary64))) (*.f64 y y))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x x) (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)) (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))))) (neg.f64 (fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x x) (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y))))
(/.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 (.f64 y y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 9 binary64) (.f64 (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x x) (.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) y))))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x x) (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)) (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 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)))
(/.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 (.f64 y y) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 9 binary64) (.f64 (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x x) (.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)))))
(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 (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -2 binary64))) (.f64 y 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 (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -2 binary64))) (.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)))
(fma.f64 (.f64 (.f64 y y) #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) (.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 (.f64 y y) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -2 binary64))) (*.f64 y 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 (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -2 binary64))) (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x x) (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y))) (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y) (.f64 y y)) (fma.f64 y y #s(literal -2 binary64))) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x x) (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y))))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 9 binary64) (.f64 (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x x) (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y))))) (/.f64 (.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 y y) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 9 binary64) (.f64 (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x x) (.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 #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 (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -2 binary64))) (*.f64 y 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 (.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)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -2 binary64))) (.f64 y 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 (fma.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64)) (.f64 y y)) (fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 y y)) (fma.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 y y) (fma.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1 binary64) #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 (.f64 y y) #s(literal -1 binary64)))
(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 (fma.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64))) (neg.f64 (fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 4 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1 binary64) #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 (.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) (fma.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1 binary64) #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 (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -2 binary64))) (*.f64 y y)))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (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))))
#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 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) y) (/.f64 #s(literal -1 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 (.f64 y y) #s(literal 2 binary64)) #s(literal 1 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 (.f64 y y) #s(literal -1 binary64) #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 #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))) (.f64 (pow.f64 (.f64 (*.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.f64 (fma.f64 (.f64 (pow.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) (pow.f64 (.f64 (*.f64 y y) #s(literal -1 binary64)) #s(literal 2 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 (.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 9 binary64) (fma.f64 (.f64 (pow.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) (pow.f64 (.f64 (*.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* y y) (- (* y y) 2)) (pow.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64)))
#s(approx (* (* y y) (- (* y y) 2)) (.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(approx (- (* y y) 2) (*.f64 y y))
#s(approx (- (* y y) 2) (.f64 (.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal -1 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) y) y))

eval17.0ms (0.9%)

Memory: 35.5MiB live, 35.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 455 to 488 computations (85.9% saved)

prune36.0ms (1.9%)

Memory

-24.0MiB live, 20.6MiB allocated; 5ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	163	1	164

Accuracy

100.0%

Counts

164 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 y y) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))

Compiler

Compiled 15 to 12 computations (20% saved)

series7.0ms (0.3%)

Memory

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

Counts

12 → 19

Calls

Call 1

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

Outputs
#s(approx (+ (* (+ (* y y) -2) (* (* y y) -1)) (* (pow x 4) 9)) #s(hole binary64 (* -1 (* (pow y 2) (- (pow y 2) 2)))))
#s(approx (+ (* (+ (* y y) -2) (* (* y y) -1)) (* (pow x 4) 9)) #s(hole binary64 (+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))))
#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) (* (* y y) -1)) (* (pow x 4) 9)) #s(hole binary64 (* 9 (pow x 4))))
#s(approx (+ (* (+ (* y y) -2) (* (* y y) -1)) (* (pow x 4) 9)) #s(hole binary64 (* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))))
#s(approx (+ (* (+ (* y y) -2) (* (* y y) -1)) (* (pow x 4) 9)) #s(hole binary64 (+ (* 2 (pow y 2)) (* 9 (pow x 4)))))
#s(approx (+ (* (+ (* y y) -2) (* (* y y) -1)) (* (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 y #s(hole binary64 y))
#s(approx (* (* y y) -1) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* (+ (* y y) -2) (* (* y y) -1)) (* (pow x 4) 9)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (+ (* (+ (* y y) -2) (* (* y y) -1)) (* (pow x 4) 9)) #s(hole binary64 (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))))
#s(approx (+ (* (+ (* y y) -2) (* (* y y) -1)) (* (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
1.0ms	x	@	0	((+ (* (+ (* y y) -2) (* (* y y) -1)) (* (pow x 4) 9)) (+ (* y y) -2) y -2 (* (* y y) -1) (* y y) -1 (* (pow x 4) 9) (pow x 4) x 4 9)
1.0ms	x	@	inf	((+ (* (+ (* y y) -2) (* (* y y) -1)) (* (pow x 4) 9)) (+ (* y y) -2) y -2 (* (* y y) -1) (* y y) -1 (* (pow x 4) 9) (pow x 4) x 4 9)
1.0ms	x	@	-inf	((+ (* (+ (* y y) -2) (* (* y y) -1)) (* (pow x 4) 9)) (+ (* y y) -2) y -2 (* (* y y) -1) (* y y) -1 (* (pow x 4) 9) (pow x 4) x 4 9)
1.0ms	y	@	inf	((+ (* (+ (* y y) -2) (* (* y y) -1)) (* (pow x 4) 9)) (+ (* y y) -2) y -2 (* (* y y) -1) (* y y) -1 (* (pow x 4) 9) (pow x 4) x 4 9)
1.0ms	y	@	-inf	((+ (* (+ (* y y) -2) (* (* y y) -1)) (* (pow x 4) 9)) (+ (* y y) -2) y -2 (* (* y y) -1) (* y y) -1 (* (pow x 4) 9) (pow x 4) x 4 9)

rewrite101.0ms (5.2%)

Memory

-12.6MiB live, 123.3MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	392
0	80	368
1	333	361
0	2712	355

Stop Event

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

Counts

31 → 153

Calls

Call 1

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

eval21.0ms (1.1%)

Memory: 7.7MiB live, 53.2MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 526 to 424 computations (88% saved)

prune25.0ms (1.3%)

Memory

-1.8MiB live, 57.1MiB allocated; 6ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	1	160

Accuracy

100.0%

Counts

160 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 y y) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))

Compiler

Compiled 45 to 29 computations (35.6% saved)

regimes6.0ms (0.3%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Counts

2 → 1

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))))

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

Outputs
(fma.f64 (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 y y) #s(literal -1 binary64)) (*.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 y y)
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)

regimes8.0ms (0.4%)

Memory

-28.5MiB live, 18.2MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

3.0ms	(-.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	(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
1.0ms	y

Results

Accuracy	Segments	Branch
3.1%	1	`(*.f64 y y)`
3.1%	1	`(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))`
3.1%	1	`(pow.f64 x #s(literal 4 binary64))`
3.1%	1	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
3.1%	1	`(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))`
3.1%	1	`x`
3.1%	1	`y`

Compiler

Compiled 37 to 34 computations (8.1% saved)

simplify38.0ms (2%)

Memory

-5.2MiB live, 41.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	30
1	26	30
2	43	30
3	64	30
4	125	30
5	626	30
6	4521	30

Stop Event

1×	node limit

Calls

Call 1

Inputs

(fma.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 y y) #s(literal -1 binary64)) (*.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 (*.f64 y y) #s(literal -1 binary64)) (*.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))))

derivations12.0ms (0.6%)

Memory

25.1MiB live, 25.1MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 30 to 17 computations (43.3% saved)

preprocess24.0ms (1.2%)

Memory

10.8MiB live, 58.2MiB allocated; 2ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 210 to 152 computations (27.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (54.3%)

explain170.0ms (8.8%)

preprocess198.0ms (10.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series25.0ms (1.3%)

rewrite195.0ms (10.1%)

eval17.0ms (0.9%)

prune36.0ms (1.9%)

series7.0ms (0.3%)

rewrite101.0ms (5.2%)

eval21.0ms (1.1%)

prune25.0ms (1.3%)

regimes6.0ms (0.3%)

regimes8.0ms (0.4%)

simplify38.0ms (2%)

derivations12.0ms (0.6%)

preprocess24.0ms (1.2%)

end0.0ms (0%)

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