Metrics for Data.Colour.SRGB:transferFunction from colour-2.3.3

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.0s (32.8%)

Memory

22.4MiB live, 1 252.0MiB allocated; 335ms collecting garbage

Samples

599.0ms	8 253×	0	valid
0.0ms	2×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 210.0ms

ival-mult: 95.0ms (45.2% of total)

ival-sub: 51.0ms (24.3% of total)

ival-add: 50.0ms (23.8% of total)

ival-true: 6.0ms (2.9% of total)

exact: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.4% of total)

adjust: 2.0ms (1% of total)

Bogosity

explain111.0ms (3.6%)

Memory

-29.7MiB live, 115.1MiB allocated; 30ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x #s(literal 1 binary64))`
-	-	`(*.f64 (+.f64 x #s(literal 1 binary64)) y)`
-	-	`y`
-	-	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
-	-	`#s(literal 1 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

74.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 3.0ms (30.4% of total)

ival-mult: 3.0ms (30.4% of total)

ival-sub: 2.0ms (20.3% 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)

preprocess247.0ms (7.9%)

Memory

10.1MiB live, 235.2MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	28	50
2	62	48
3	215	46
4	806	43
5	2491	43
6	7477	43
0	6	7
0	9	7
1	13	7
2	24	7
3	72	7
4	260	7
5	1077	7
0	8229	6

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

series4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

6 → 23

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) x 1 y)
1.0ms	y	@	inf	((- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) x 1 y)
1.0ms	y	@	0	((- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) x 1 y)
1.0ms	y	@	-inf	((- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) x 1 y)
1.0ms	x	@	inf	((- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) x 1 y)

simplify140.0ms (4.5%)

Memory

14.1MiB live, 209.5MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	238
1	179	238
2	548	238
3	1840	238
4	5933	238
0	8073	210

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

Calls

Call 1

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

Outputs
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 y))
#s(approx (- (* (+ x 1) y) x) y)
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (+ y (* x (- y 1)))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))
#s(approx (* (+ x 1) y) #s(hole binary64 y))
#s(approx (* (+ x 1) y) y)
#s(approx (* (+ x 1) y) #s(hole binary64 (+ y (* x y))))
#s(approx (* (+ x 1) y) (fma.f64 y x y))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* x (- y 1))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (*.f64 y x) x))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* x (- (+ y (/ y x)) 1))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))
#s(approx (* (+ x 1) y) #s(hole binary64 (* x y)))
#s(approx (* (+ x 1) y) (*.f64 y x))
#s(approx (* (+ x 1) y) #s(hole binary64 (* x (+ y (/ y x)))))
#s(approx (* (+ x 1) y) (fma.f64 y x y))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 y))))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (*.f64 y x) x))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))
#s(approx (* (+ x 1) y) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))))
#s(approx (* (+ x 1) y) (fma.f64 y x y))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (- (* y (+ 1 x)) x)))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))
#s(approx (* (+ x 1) y) #s(hole binary64 (* y (+ 1 x))))
#s(approx (* (+ x 1) y) (fma.f64 y x y))
#s(approx y #s(hole binary64 y))
#s(approx y y)
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* y (+ 1 x))))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* y (+ 1 (+ x (* -1 (/ x y)))))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))

rewrite72.0ms (2.3%)

Memory

-10.9MiB live, 148.6MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	37	18
0	279	18

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 35

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y

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

eval7.0ms (0.2%)

Memory: -24.0MiB live, 20.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 632 to 147 computations (76.7% saved)

prune4.0ms (0.1%)

Memory

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

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	44	6	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	7	51

Accuracy

100.0%

Counts

51 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
	59.2%	(-.f64 (*.f64 #s(approx (+ x 1) x) y) x)
▶	100.0%	(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)
▶	73.4%	(-.f64 #s(approx (* (+ x 1) y) y) x)
▶	68.5%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
▶	33.8%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
▶	42.2%	#s(approx (- (* (+ x 1) y) x) y)

Compiler

Compiled 129 to 96 computations (25.6% saved)

series6.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Counts

11 → 27

Calls

Call 1

Inputs
(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)
#s(approx (* (+ x 1) y) (fma.f64 y x y))
(fma.f64 y x y)
y
x
#s(approx (- (* (+ x 1) y) x) y)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
(-.f64 #s(approx (* (+ x 1) y) y) x)
#s(approx (* (+ x 1) y) y)
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((- (* (+ x 1) y) x) (* (+ x 1) y) (+ (* y x) y) y x (- (* (+ x 1) y) x) (- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (+ x 1) y) (- (* (+ x 1) y) x))
1.0ms	x	@	-inf	((- (* (+ x 1) y) x) (* (+ x 1) y) (+ (* y x) y) y x (- (* (+ x 1) y) x) (- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (+ x 1) y) (- (* (+ x 1) y) x))
1.0ms	y	@	inf	((- (* (+ x 1) y) x) (* (+ x 1) y) (+ (* y x) y) y x (- (* (+ x 1) y) x) (- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (+ x 1) y) (- (* (+ x 1) y) x))
1.0ms	x	@	inf	((- (* (+ x 1) y) x) (* (+ x 1) y) (+ (* y x) y) y x (- (* (+ x 1) y) x) (- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (+ x 1) y) (- (* (+ x 1) y) x))
1.0ms	y	@	0	((- (* (+ x 1) y) x) (* (+ x 1) y) (+ (* y x) y) y x (- (* (+ x 1) y) x) (- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (+ x 1) y) (- (* (+ x 1) y) x))

simplify118.0ms (3.8%)

Memory

-25.9MiB live, 162.3MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	290
1	181	290
2	553	290
3	1633	290
4	5687	290
0	8010	250

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

Outputs
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 y))
#s(approx (- (* (+ x 1) y) x) y)
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (+ y (* x (- y 1)))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))
#s(approx (* (+ x 1) y) #s(hole binary64 y))
#s(approx (* (+ x 1) y) y)
#s(approx (* (+ x 1) y) #s(hole binary64 (+ y (* x y))))
#s(approx (* (+ x 1) y) (fma.f64 y x y))
#s(approx (+ (* y x) y) #s(hole binary64 y))
#s(approx (* (+ x 1) y) y)
#s(approx (+ (* y x) y) #s(hole binary64 (+ y (* x y))))
#s(approx (* (+ x 1) y) (fma.f64 y x y))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (neg x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* x (- y 1))))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* x (- (+ y (/ y x)) 1))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))
#s(approx (* (+ x 1) y) #s(hole binary64 (* x y)))
#s(approx (* (+ x 1) y) (*.f64 y x))
#s(approx (* (+ x 1) y) #s(hole binary64 (* x (+ y (/ y x)))))
#s(approx (* (+ x 1) y) (fma.f64 y x y))
#s(approx (+ (* y x) y) #s(hole binary64 (* x y)))
#s(approx (* (+ x 1) y) (*.f64 y x))
#s(approx (+ (* y x) y) #s(hole binary64 (* x (+ y (/ y x)))))
#s(approx (* (+ x 1) y) (fma.f64 y x y))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 y))))))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))
#s(approx (* (+ x 1) y) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))))
#s(approx (* (+ x 1) y) (fma.f64 y x y))
#s(approx (+ (* y x) y) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))))
#s(approx (* (+ x 1) y) (fma.f64 y x y))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (- (* y (+ 1 x)) x)))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))
#s(approx (* (+ x 1) y) #s(hole binary64 (* y (+ 1 x))))
#s(approx (* (+ x 1) y) (fma.f64 y x y))
#s(approx (+ (* y x) y) #s(hole binary64 (* y (+ 1 x))))
#s(approx (* (+ x 1) y) (fma.f64 y x y))
#s(approx y #s(hole binary64 y))
#s(approx y y)
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* y (+ 1 x))))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* y (+ 1 (+ x (* -1 (/ x y)))))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))
#s(approx (+ (* y x) y) #s(hole binary64 (* -1 (* y (- (* -1 x) 1)))))
#s(approx (* (+ x 1) y) (fma.f64 y x y))

rewrite45.0ms (1.4%)

Memory

8.5MiB live, 55.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	77
0	20	77
1	82	70
0	599	70

Stop Event

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

Counts

11 → 52

Calls

Call 1

Inputs
(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)
#s(approx (* (+ x 1) y) (fma.f64 y x y))
(fma.f64 y x y)
y
x
#s(approx (- (* (+ x 1) y) x) y)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
(-.f64 #s(approx (* (+ x 1) y) y) x)
#s(approx (* (+ x 1) y) y)
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))

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

eval9.0ms (0.3%)

Memory: 16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 030 to 245 computations (87.9% saved)

prune37.0ms (1.2%)

Memory

-25.1MiB live, 27.5MiB allocated; 12ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	105	8	113

Accuracy

100.0%

Counts

113 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
▶	59.2%	(-.f64 (*.f64 #s(approx (+ x 1) x) y) x)
✓	100.0%	(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)
✓	73.4%	(-.f64 #s(approx (* (+ x 1) y) y) x)
✓	68.5%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
▶	68.5%	#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y))
✓	33.8%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓	42.2%	#s(approx (- (* (+ x 1) y) x) y)

Compiler

Compiled 81 to 61 computations (24.7% saved)

series3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Counts

9 → 33

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((- (* (+ x 1) y) x) (* (- x -1) y) (- x -1) x -1 y (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms	y	@	inf	((- (* (+ x 1) y) x) (* (- x -1) y) (- x -1) x -1 y (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms	x	@	-inf	((- (* (+ x 1) y) x) (* (- x -1) y) (- x -1) x -1 y (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
0.0ms	x	@	inf	((- (* (+ x 1) y) x) (* (- x -1) y) (- x -1) x -1 y (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
0.0ms	x	@	0	((- (* (+ x 1) y) x) (* (- x -1) y) (- x -1) x -1 y (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))

simplify160.0ms (5.1%)

Memory

10.4MiB live, 96.1MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	322
1	193	322
2	561	322
3	1842	322
4	5921	322
0	8042	284

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

Calls

Call 1

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

Outputs
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 y))
#s(approx (- (* (+ x 1) y) x) y)
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (+ y (* x (- y 1)))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))
#s(approx (* (- x -1) y) #s(hole binary64 y))
#s(approx (* (- x -1) y) y)
#s(approx (* (- x -1) y) #s(hole binary64 (+ y (* x y))))
#s(approx (* (- x -1) y) (fma.f64 y x y))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (* (+ x 1) y) #s(hole binary64 y))
#s(approx (* (- x -1) y) y)
#s(approx (* (+ x 1) y) #s(hole binary64 (+ y (* x y))))
#s(approx (* (- x -1) y) (fma.f64 y x y))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* x (- y 1))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (*.f64 y x) x))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* x (- (+ y (/ y x)) 1))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))
#s(approx (* (- x -1) y) #s(hole binary64 (* x y)))
#s(approx (* (- x -1) y) (*.f64 y x))
#s(approx (* (- x -1) y) #s(hole binary64 (* x (+ y (/ y x)))))
#s(approx (* (- x -1) y) (fma.f64 y x y))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) x)
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (* (+ x 1) y) #s(hole binary64 (* x y)))
#s(approx (* (- x -1) y) (*.f64 y x))
#s(approx (* (+ x 1) y) #s(hole binary64 (* x (+ y (/ y x)))))
#s(approx (* (- x -1) y) (fma.f64 y x y))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (- x -1) x)
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 y))))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (*.f64 y x) x))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))
#s(approx (* (- x -1) y) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))))
#s(approx (* (- x -1) y) (fma.f64 y x y))
#s(approx (* (+ x 1) y) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))))
#s(approx (* (- x -1) y) (fma.f64 y x y))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (- (* y (+ 1 x)) x)))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))
#s(approx (* (- x -1) y) #s(hole binary64 (* y (+ 1 x))))
#s(approx (* (- x -1) y) (fma.f64 y x y))
#s(approx y #s(hole binary64 y))
#s(approx y y)
#s(approx (* (+ x 1) y) #s(hole binary64 (* y (+ 1 x))))
#s(approx (* (- x -1) y) (fma.f64 y x y))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* y (+ 1 x))))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* y (+ 1 (+ x (* -1 (/ x y)))))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))))
#s(approx (- (* (+ x 1) y) x) (-.f64 (fma.f64 y x y) x))

rewrite129.0ms (4.1%)

Memory

12.2MiB live, 56.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	45
0	17	45
1	66	45
0	475	45

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

9 → 44

Calls

Call 1

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

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

eval41.0ms (1.3%)

Memory: -34.4MiB live, 23.9MiB allocated; 11ms collecting garbage
Compiler: Compiled 1 095 to 178 computations (83.7% saved)

prune3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	62	9	71

Accuracy

100.0%

Counts

71 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓	59.2%	(-.f64 (*.f64 #s(approx (+ x 1) x) y) x)
✓	100.0%	(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)
✓	73.4%	(-.f64 #s(approx (* (+ x 1) y) y) x)
✓	68.5%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
✓	68.5%	#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y))
▶	28.6%	#s(approx (- (* (+ x 1) y) x) (*.f64 #s(approx (- x -1) x) y))
✓	33.8%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓	42.2%	#s(approx (- (* (+ x 1) y) x) y)

Compiler

Compiled 96 to 72 computations (25% saved)

series3.0ms (0.1%)

Memory

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

Counts

5 → 23

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) (*.f64 #s(approx (- x -1) x) y))
(*.f64 #s(approx (- x -1) x) y)
#s(approx (- x -1) x)
x
y

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((- (* (+ x 1) y) x) (* (- x -1) y) (- x -1) x y)
0.0ms	y	@	inf	((- (* (+ x 1) y) x) (* (- x -1) y) (- x -1) x y)
0.0ms	x	@	-inf	((- (* (+ x 1) y) x) (* (- x -1) y) (- x -1) x y)
0.0ms	x	@	inf	((- (* (+ x 1) y) x) (* (- x -1) y) (- x -1) x y)
0.0ms	y	@	0	((- (* (+ x 1) y) x) (* (- x -1) y) (- x -1) x y)

simplify247.0ms (7.9%)

Memory

19.1MiB live, 214.9MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	238
1	176	238
2	552	238
3	1798	238
4	5879	238
0	8068	210

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

Calls

Call 1

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

Outputs
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 y))
#s(approx (- (* (+ x 1) y) x) y)
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (+ y (* x (- y 1)))))
#s(approx (- (* (+ x 1) y) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) x y))
#s(approx (* (- x -1) y) #s(hole binary64 y))
#s(approx (* (- x -1) y) y)
#s(approx (* (- x -1) y) #s(hole binary64 (+ y (* x y))))
#s(approx (* (- x -1) y) (fma.f64 y x y))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* x (- y 1))))
#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* x (- (+ y (/ y x)) 1))))
#s(approx (- (* (+ x 1) y) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) x y))
#s(approx (* (- x -1) y) #s(hole binary64 (* x y)))
#s(approx (* (- x -1) y) (*.f64 y x))
#s(approx (* (- x -1) y) #s(hole binary64 (* x (+ y (/ y x)))))
#s(approx (* (- x -1) y) (fma.f64 y x y))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) x)
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 y))))))
#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))))
#s(approx (- (* (+ x 1) y) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) x y))
#s(approx (* (- x -1) y) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))))
#s(approx (* (- x -1) y) (fma.f64 y x y))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (- (* y (+ 1 x)) x)))
#s(approx (- (* (+ x 1) y) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) x y))
#s(approx (* (- x -1) y) #s(hole binary64 (* y (+ 1 x))))
#s(approx (* (- x -1) y) (fma.f64 y x y))
#s(approx y #s(hole binary64 y))
#s(approx y y)
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* y (+ 1 x))))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* y (+ 1 (+ x (* -1 (/ x y)))))))
#s(approx (- (* (+ x 1) y) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) x y))
#s(approx (- (* (+ x 1) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))))
#s(approx (- (* (+ x 1) y) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) x y))

rewrite63.0ms (2%)

Memory

-15.8MiB live, 74.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
0	12	29
1	50	29
0	358	29

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

5 → 6

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) (*.f64 #s(approx (- x -1) x) y))
(*.f64 #s(approx (- x -1) x) y)
#s(approx (- x -1) x)
x
y

Outputs
#s(approx (- (* (+ x 1) y) x) (*.f64 #s(approx (- x -1) x) y))
(*.f64 #s(approx (- x -1) x) y)
(*.f64 y #s(approx (- x -1) x))
#s(approx (- x -1) x)
x
y

eval2.0ms (0.1%)

Memory: 5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 264 to 47 computations (82.2% saved)

prune4.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	2	6	8
Total	19	8	27

Accuracy

100.0%

Counts

27 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.2%	(-.f64 (*.f64 #s(approx (+ x 1) x) y) x)
✓	73.4%	(-.f64 #s(approx (* (+ x 1) y) y) x)
	100.0%	#s(approx (- (* (+ x 1) y) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) x y))
✓	68.5%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
✓	68.5%	#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y))
✓	28.6%	#s(approx (- (* (+ x 1) y) x) (*.f64 #s(approx (- x -1) x) y))
✓	33.8%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓	42.2%	#s(approx (- (* (+ x 1) y) x) y)

Compiler

Compiled 201 to 102 computations (49.3% saved)

regimes13.0ms (0.4%)

Memory

-9.9MiB live, 36.2MiB allocated; 5ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) y)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(-.f64 #s(approx (* (+ x 1) y) y) x)
#s(approx (- (* (+ x 1) y) x) (*.f64 #s(approx (- x -1) x) y))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y))
(-.f64 (*.f64 #s(approx (+ x 1) x) y) x)
#s(approx (- (* (+ x 1) y) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) x y))
(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

Outputs
#s(approx (- (* (+ x 1) y) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) x y))

Calls

3 calls:

6.0ms	y
3.0ms	x
3.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes17.0ms (0.5%)

Memory

-24.7MiB live, 28.3MiB allocated; 8ms collecting garbage

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) y)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(-.f64 #s(approx (* (+ x 1) y) y) x)
#s(approx (- (* (+ x 1) y) x) (*.f64 #s(approx (- x -1) x) y))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y))
(-.f64 (*.f64 #s(approx (+ x 1) x) y) x)

Outputs
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
(-.f64 #s(approx (* (+ x 1) y) y) x)
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))

Calls

3 calls:

11.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
92.1%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
98.5%	3	`x`
99.3%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.2%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) y)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(-.f64 #s(approx (* (+ x 1) y) y) x)
#s(approx (- (* (+ x 1) y) x) (*.f64 #s(approx (- x -1) x) y))

Outputs
#s(approx (- (* (+ x 1) y) x) (*.f64 #s(approx (- x -1) x) y))
(-.f64 #s(approx (* (+ x 1) y) y) x)
#s(approx (- (* (+ x 1) y) x) (*.f64 #s(approx (- x -1) x) y))

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

Results

Accuracy	Segments	Branch
88.8%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
80.3%	3	`x`
77.5%	2	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) y)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(-.f64 #s(approx (* (+ x 1) y) y) x)

Outputs
(-.f64 #s(approx (* (+ x 1) y) y) x)

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

Results

Accuracy	Segments	Branch
73.4%	1	`y`
73.4%	1	`x`
73.4%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.2%)

Memory

-34.3MiB live, 12.8MiB allocated; 1ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) y)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Outputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) y)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

Results

Accuracy	Segments	Branch
64.4%	3	`x`
49.9%	4	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
61.9%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) y)

Outputs
#s(approx (- (* (+ x 1) y) x) y)

Calls

3 calls:

1.0ms	y
1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms	x

Results

Accuracy	Segments	Branch
42.2%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
42.2%	1	`y`
42.2%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch40.0ms (1.3%)

Memory

10.0MiB live, 57.2MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.307788964124372e-27	1.7299654504298998e-18
26.0ms	-15576331013286674000.0	-18.348798341922777

Samples

26.0ms

304×

valid

Compiler

Compiled 409 to 334 computations (18.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 2.0ms (33.6% of total)

ival-mult: 2.0ms (33.6% of total)

ival-sub: 1.0ms (16.8% 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)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7959215225393058e+308	+inf
0.0ms	-inf	-4.171181975339143e+304

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch47.0ms (1.5%)

Memory

-1.5MiB live, 44.2MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	2.063282791940298e-89	1.1105897072285903e-66
12.0ms	-1.9709401790121437e-35	-2.156106430362639e-45

Samples

32.0ms

336×

valid

Compiler

Compiled 409 to 368 computations (10% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sub: 20.0ms (79.9% of total)

ival-add: 2.0ms (8% of total)

ival-mult: 2.0ms (8% 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)

simplify46.0ms (1.5%)

Memory

-12.8MiB live, 33.6MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	135
1	62	135
2	77	135
3	129	135
4	390	135
5	2153	135

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) x y))
(if (<=.f64 y #s(literal -19 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 8826904659509207/5192296858534827628530496329220096 binary64)) (-.f64 #s(approx (* (+ x 1) y) y) x) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))))
(if (<=.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #s(literal -inf.0 binary64)) #s(approx (- ( (+ x 1) y) x) (.f64 #s(approx (- x -1) x) y)) (if (<=.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #s(literal +inf.0 binary64)) (-.f64 #s(approx (* (+ x 1) y) y) x) #s(approx (- (* (+ x 1) y) x) (*.f64 #s(approx (- x -1) x) y))))
(-.f64 #s(approx (* (+ x 1) y) y) x)
(if (<=.f64 x #s(literal -7846377169233351/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (if (<=.f64 x #s(literal 8832460678637811/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) #s(approx (- (* (+ x 1) y) x) y) #s(approx (- (* (+ x 1) y) x) (neg.f64 x))))
#s(approx (- (* (+ x 1) y) x) y)

Outputs
#s(approx (- (* (+ x 1) y) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) x y))
(if (<=.f64 y #s(literal -19 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 8826904659509207/5192296858534827628530496329220096 binary64)) (-.f64 #s(approx (* (+ x 1) y) y) x) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))))
(if (or (<=.f64 y #s(literal -19 binary64)) (not (<=.f64 y #s(literal 8826904659509207/5192296858534827628530496329220096 binary64)))) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (-.f64 #s(approx (* (+ x 1) y) y) x))
(if (<=.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #s(literal -inf.0 binary64)) #s(approx (- ( (+ x 1) y) x) (.f64 #s(approx (- x -1) x) y)) (if (<=.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #s(literal +inf.0 binary64)) (-.f64 #s(approx (* (+ x 1) y) y) x) #s(approx (- (* (+ x 1) y) x) (*.f64 #s(approx (- x -1) x) y))))
(if (or (<=.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #s(literal -inf.0 binary64)) (not (<=.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) y) x) #s(literal +inf.0 binary64)))) #s(approx (- (* (+ x 1) y) x) (.f64 #s(approx (- x -1) x) y)) (-.f64 #s(approx ( (+ x 1) y) y) x))
(-.f64 #s(approx (* (+ x 1) y) y) x)
(if (<=.f64 x #s(literal -7846377169233351/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (if (<=.f64 x #s(literal 8832460678637811/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) #s(approx (- (* (+ x 1) y) x) y) #s(approx (- (* (+ x 1) y) x) (neg.f64 x))))
(if (or (<=.f64 x #s(literal -7846377169233351/196159429230833773869868419475239575503198607639501078528 binary64)) (not (<=.f64 x #s(literal 8832460678637811/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)))) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) y))
#s(approx (- (* (+ x 1) y) x) y)

derivations405.0ms (13%)

Memory

11.2MiB live, 288.3MiB allocated; 54ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 135 to 46 computations (65.9% saved)

preprocess50.0ms (1.6%)

Memory: 17.9MiB live, 64.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 284 to 104 computations (63.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (32.8%)

explain111.0ms (3.6%)

preprocess247.0ms (7.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series4.0ms (0.1%)

simplify140.0ms (4.5%)

rewrite72.0ms (2.3%)

eval7.0ms (0.2%)

prune4.0ms (0.1%)

series6.0ms (0.2%)

simplify118.0ms (3.8%)

rewrite45.0ms (1.4%)

eval9.0ms (0.3%)

prune37.0ms (1.2%)

series3.0ms (0.1%)

simplify160.0ms (5.1%)

rewrite129.0ms (4.1%)

eval41.0ms (1.3%)

prune3.0ms (0.1%)

series3.0ms (0.1%)

simplify247.0ms (7.9%)

rewrite63.0ms (2%)

eval2.0ms (0.1%)

prune4.0ms (0.1%)

regimes13.0ms (0.4%)

regimes17.0ms (0.5%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch40.0ms (1.3%)

bsearch1.0ms (0%)

bsearch47.0ms (1.5%)

simplify46.0ms (1.5%)

derivations405.0ms (13%)

preprocess50.0ms (1.6%)

end0.0ms (0%)

Profiling