Metrics for Radioactive exchange between two surfaces

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample751.0ms (66.9%)

Memory

-8.1MiB live, 795.8MiB allocated; 96ms collecting garbage

Samples

505.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 337.0ms

ival-pow: 267.0ms (79.3% of total)

ival-sub: 58.0ms (17.2% of total)

exact: 7.0ms (2.1% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain71.0ms (6.3%)

Memory

26.6MiB live, 72.6MiB allocated; 4ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
36	-	-	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
0	-	-	`y`
0	-	-	`(pow.f64 x #s(literal 4 binary64))`
0	-	-	`(pow.f64 y #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`	nan-rescue	36	0
↳	`(pow.f64 x #s(literal 4 binary64))`	overflow	101
↳	`(pow.f64 y #s(literal 4 binary64))`	overflow	91

Confusion

	Predicted +	Predicted -
+	36	0
-	0	220

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	36	0	0
-	0	0	220

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	220
1	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-pow: 15.0ms (82.2% of total)

ival-sub: 2.0ms (11% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess15.0ms (1.3%)

Memory

-33.6MiB live, 12.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	48
0	6	7
0	9	7
0	9	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% 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

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.9%	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series6.0ms (0.5%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

6 → 10

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite73.0ms (6.5%)

Memory

18.2MiB live, 64.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	136
0	32	132
1	115	131
0	866	131

Stop Event

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

Counts

16 → 74

Calls

Call 1

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

Outputs
(.f64 (fma.f64 x x (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (.f64 y y)) (.f64 y y) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (fabs.f64 (.f64 x x)) (fabs.f64 (.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (.f64 y y) (neg.f64 (.f64 y y)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 x x) (.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 12 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 x y) #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 x y) #s(literal 4 binary64))))))
(+.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x))
(.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 1 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 (.f64 x x) #s(literal 1 binary64)))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(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))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) #s(literal 0 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 (neg.f64 (.f64 y y)) (neg.f64 (*.f64 y y)))
(.f64 (fabs.f64 (.f64 y y)) (fabs.f64 (*.f64 y y)))
(.f64 (.f64 y y) (*.f64 y y))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 4 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 y #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))
y
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (pow x 4) (pow y 4)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx x x)
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow x 4) (pow y 4)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (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 (- (pow x 4) (pow y 4)) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))

eval6.0ms (0.5%)

Memory: 9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 971 to 185 computations (80.9% saved)

prune31.0ms (2.8%)

Memory

0.4MiB live, 50.9MiB allocated; 6ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	2	75

Accuracy

100.0%

Counts

75 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.7%	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
▶	58.3%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 23 to 19 computations (17.4% saved)

series4.0ms (0.3%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

5 → 9

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) (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)

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

Calls

6 calls:

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

rewrite55.0ms (4.9%)

Memory

-23.8MiB live, 68.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	141
0	33	136
1	116	135
0	867	135

Stop Event

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

Counts

14 → 27

Calls

Call 1

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

Outputs
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y y))
(.f64 (neg.f64 (.f64 y y)) (*.f64 y y))
(.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -1 binary64)))
(.f64 (.f64 y y) (neg.f64 (*.f64 y y)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(.f64 (neg.f64 (.f64 y y)) (neg.f64 (*.f64 y y)))
(.f64 (fabs.f64 (.f64 y y)) (fabs.f64 (*.f64 y y)))
(.f64 (.f64 y y) (*.f64 y y))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 4 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 y #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))
y
#s(literal 4 binary64)
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (pow x 4) (pow y 4)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow x 4) (pow y 4)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 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 (- (pow x 4) (pow y 4)) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))

eval2.0ms (0.2%)

Memory: 4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 381 to 78 computations (79.5% saved)

prune6.0ms (0.5%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Accuracy

100.0%

Counts

27 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.7%	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
✓	58.3%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 23 to 19 computations (17.4% saved)

series3.0ms (0.3%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

4 → 8

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite49.0ms (4.4%)

Memory

-15.6MiB live, 31.5MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	126
0	27	122
1	110	121
0	861	121

Stop Event

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

Counts

12 → 29

Calls

Call 1

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

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

eval2.0ms (0.2%)

Memory: 4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 403 to 79 computations (80.4% saved)

prune7.0ms (0.6%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	27	2	29

Accuracy

100.0%

Counts

29 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.7%	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
✓	58.3%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 53 to 32 computations (39.6% saved)

regimes14.0ms (1.3%)

Memory

-30.4MiB live, 18.7MiB allocated; 4ms collecting garbage

Accuracy

Total -48.7b remaining (-1298.8%)

Threshold costs -48.7b (-1298.8%)

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

8.0ms	(pow.f64 x #s(literal 4 binary64))
2.0ms	x
2.0ms	y
1.0ms	(pow.f64 y #s(literal 4 binary64))
1.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Results

Accuracy	Segments	Branch
91.8%	2	`(pow.f64 y #s(literal 4 binary64))`
94.1%	2	`(pow.f64 x #s(literal 4 binary64))`
94.1%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
94.1%	3	`x`
91.8%	3	`y`

Compiler

Compiled 15 to 18 computations (-20% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.24e-322	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify10.0ms (0.9%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	21	33
2	22	33

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))))

Outputs

(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))))

derivations5.0ms (0.5%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 33 to 16 computations (51.5% saved)

preprocess12.0ms (1%)

Memory: 17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 80 to 44 computations (45% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample751.0ms (66.9%)

explain71.0ms (6.3%)

preprocess15.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.5%)

rewrite73.0ms (6.5%)

eval6.0ms (0.5%)

prune31.0ms (2.8%)

series4.0ms (0.3%)

rewrite55.0ms (4.9%)

eval2.0ms (0.2%)

prune6.0ms (0.5%)

series3.0ms (0.3%)

rewrite49.0ms (4.4%)

eval2.0ms (0.2%)

prune7.0ms (0.6%)

regimes14.0ms (1.3%)

bsearch0.0ms (0%)

simplify10.0ms (0.9%)

derivations5.0ms (0.5%)

preprocess12.0ms (1%)

end0.0ms (0%)

Profiling