Metrics for Expanding a square

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.1s (61.4%)

Memory

62.7MiB live, 656.0MiB allocated; 848ms collecting garbage

Samples

483.0ms	2 377×	1	valid
215.0ms	4 221×	0	valid
209.0ms	1 658×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 385.0ms

adjust: 139.0ms (36.1% of total)

ival-mult: 90.0ms (23.4% of total)

ival-add: 77.0ms (20% of total)

ival-sub: 71.0ms (18.5% of total)

exact: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain91.0ms (5%)

Memory

-2.9MiB live, 94.7MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
142	-	-	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`	cancellation	142	0

Confusion

	Predicted +	Predicted -
+	142	0
-	0	114

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	142	0	0
-	0	0	114

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	114
1	142

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

16.0ms	182×	1	valid
14.0ms	102×	2	valid
9.0ms	228×	0	valid

Compiler

Compiled 55 to 19 computations (65.5% saved)

Precisions

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

adjust: 9.0ms (36.4% of total)

ival-mult: 6.0ms (24.2% of total)

ival-add: 5.0ms (20.2% of total)

ival-sub: 4.0ms (16.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess182.0ms (9.9%)

Memory

4.9MiB live, 95.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	40	26
2	166	16
3	873	15
4	3512	15
5	6179	15
0	5	9
0	8	9
1	24	7
2	88	5
3	409	5
4	1781	5
0	8239	5

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)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.4%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

Compiler

Compiled 9 to 5 computations (44.4% saved)

series2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Counts

5 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite121.0ms (6.6%)

Memory

-51.6MiB live, 62.8MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	206
0	44	170
1	222	170
0	2170	158

Stop Event

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

Counts

20 → 149

Calls

Call 1

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

Outputs
(*.f64 (+.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 0 binary64)) (-.f64 x #s(literal -2 binary64)))
(*.f64 (-.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(fma.f64 (.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64)))) (fabs.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) (fabs.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x (+.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 x (-.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (fma.f64 x x x) (+.f64 x #s(literal 0 binary64)))
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (fabs.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64)))) (fabs.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) (.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) (fabs.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.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 #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 x x x) (-.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(neg.f64 (*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))
(neg.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x (fma.f64 x x x))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))
(fma.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x))
(fma.f64 x (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(-.f64 (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(-.f64 (fma.f64 x x x) (*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)))
(+.f64 (fma.f64 x x x) (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.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 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) 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 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 x (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x))
(-.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 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
#s(approx (* (+ x 1) (+ x 1)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (* (+ x 1) (+ x 1)) (fma.f64 (-.f64 x #s(literal -2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) x) x))
#s(approx (* (+ x 1) (+ x 1)) (*.f64 x x))
#s(approx (* (+ x 1) (+ x 1)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) x) x))
#s(approx (* (+ x 1) (+ x 1)) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (.f64 x x)))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))

eval19.0ms (1%)

Memory: 20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 089 to 562 computations (81.8% saved)

prune7.0ms (0.4%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	193	5	198
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	194	5	199

Accuracy

100.0%

Counts

199 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 x #s(literal -1 binary64)) x (+.f64 x #s(literal 0 binary64)))
▶	3.9%	(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
▶	45.7%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
▶	56.8%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))

Compiler

Compiled 120 to 74 computations (38.3% saved)

series6.0ms (0.3%)

Memory

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

Counts

18 → 30

Calls

Call 1

Inputs
(fma.f64 (-.f64 x #s(literal -1 binary64)) x (+.f64 x #s(literal 0 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 x #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 x x)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(-.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)

Outputs
#s(approx (+ (* (- x -1) x) (+ x 0)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (- x -1) x) (+ x 0)) #s(hole binary64 (* x (+ 2 x))))
#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 0) #s(hole binary64 x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(hole binary64 (* x (+ 2 x))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 1))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 2 x)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- x -2) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- x -2) x) #s(hole binary64 (* x (+ 2 x))))
#s(approx (- x -2) #s(hole binary64 2))
#s(approx (- x -2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (- x -1) x) (+ x 0)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- x -1) x) (+ x 0)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (- x -2) x) #s(hole binary64 (pow x 2)))
#s(approx (* (- x -2) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (- x -2) #s(hole binary64 x))
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (* (- x -1) x) (+ x 0)) (- x -1) x -1 (+ x 0) 0 (- (* (+ x 1) (+ x 1)) 1) (* (+ x 1) (+ x 1)) 1 (- (* (+ x 1) (+ x 1)) 1) (* 2 x) 2 (- (* (+ x 1) (+ x 1)) 1) (* x x) (- (* (+ x 1) (+ x 1)) 1) (* (- x -2) x) (- x -2) -2)
1.0ms	x	@	inf	((+ (* (- x -1) x) (+ x 0)) (- x -1) x -1 (+ x 0) 0 (- (* (+ x 1) (+ x 1)) 1) (* (+ x 1) (+ x 1)) 1 (- (* (+ x 1) (+ x 1)) 1) (* 2 x) 2 (- (* (+ x 1) (+ x 1)) 1) (* x x) (- (* (+ x 1) (+ x 1)) 1) (* (- x -2) x) (- x -2) -2)
1.0ms	x	@	0	((+ (* (- x -1) x) (+ x 0)) (- x -1) x -1 (+ x 0) 0 (- (* (+ x 1) (+ x 1)) 1) (* (+ x 1) (+ x 1)) 1 (- (* (+ x 1) (+ x 1)) 1) (* 2 x) 2 (- (* (+ x 1) (+ x 1)) 1) (* x x) (- (* (+ x 1) (+ x 1)) 1) (* (- x -2) x) (- x -2) -2)

Time

Variable

Point

Expression

2.0ms

-inf

((+ (* (- x -1) x) (+ x 0)) (- x -1) x -1 (+ x 0) 0 (- (* (+ x 1) (+ x 1)) 1) (* (+ x 1) (+ x 1)) 1 (- (* (+ x 1) (+ x 1)) 1) (* 2 x) 2 (- (* (+ x 1) (+ x 1)) 1) (* x x) (- (* (+ x 1) (+ x 1)) 1) (* (- x -2) x) (- x -2) -2)

1.0ms

inf

((+ (* (- x -1) x) (+ x 0)) (- x -1) x -1 (+ x 0) 0 (- (* (+ x 1) (+ x 1)) 1) (* (+ x 1) (+ x 1)) 1 (- (* (+ x 1) (+ x 1)) 1) (* 2 x) 2 (- (* (+ x 1) (+ x 1)) 1) (* x x) (- (* (+ x 1) (+ x 1)) 1) (* (- x -2) x) (- x -2) -2)

1.0ms

((+ (* (- x -1) x) (+ x 0)) (- x -1) x -1 (+ x 0) 0 (- (* (+ x 1) (+ x 1)) 1) (* (+ x 1) (+ x 1)) 1 (- (* (+ x 1) (+ x 1)) 1) (* 2 x) 2 (- (* (+ x 1) (+ x 1)) 1) (* x x) (- (* (+ x 1) (+ x 1)) 1) (* (- x -2) x) (- x -2) -2)

rewrite43.0ms (2.3%)

Memory

-33.4MiB live, 12.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	433
0	80	375
0	329	373

Stop Event

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

Counts

48 → 68

Calls

Call 1

Inputs
(fma.f64 (-.f64 x #s(literal -1 binary64)) x (+.f64 x #s(literal 0 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 x #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 x x)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(-.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (+ (* (- x -1) x) (+ x 0)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (- x -1) x) (+ x 0)) #s(hole binary64 (* x (+ 2 x))))
#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 0) #s(hole binary64 x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(hole binary64 (* x (+ 2 x))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 1))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 2 x)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- x -2) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- x -2) x) #s(hole binary64 (* x (+ 2 x))))
#s(approx (- x -2) #s(hole binary64 2))
#s(approx (- x -2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (- x -1) x) (+ x 0)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- x -1) x) (+ x 0)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (- x -2) x) #s(hole binary64 (pow x 2)))
#s(approx (* (- x -2) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (- x -2) #s(hole binary64 x))
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))

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

eval7.0ms (0.4%)

Memory: 7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 198 to 188 computations (84.3% saved)

prune4.0ms (0.2%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	78	5	83

Accuracy

100.0%

Counts

83 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 x #s(literal -1 binary64)) x x)
✓	3.9%	(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	56.8%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
✓	100.0%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
✓	45.7%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))

Compiler

Compiled 58 to 34 computations (41.4% saved)

series2.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Counts

6 → 14

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((- (* (+ x 1) (+ x 1)) 1) (+ x x) x (+ (* (- x -1) x) x) (- x -1) -1)

1.0ms

inf

((- (* (+ x 1) (+ x 1)) 1) (+ x x) x (+ (* (- x -1) x) x) (- x -1) -1)

0.0ms

((- (* (+ x 1) (+ x 1)) 1) (+ x x) x (+ (* (- x -1) x) x) (- x -1) -1)

rewrite27.0ms (1.5%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	177
0	42	163
0	190	163

Stop Event

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

Counts

20 → 32

Calls

Call 1

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

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

eval3.0ms (0.2%)

Memory: 3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 486 to 93 computations (80.9% saved)

prune3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	38	6	44

Accuracy

100.0%

Counts

44 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 x #s(literal -1 binary64)) x x)
▶	52.9%	(fma.f64 #s(approx (- x -1) x) x x)
✓	3.9%	(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	56.8%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
✓	100.0%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
✓	45.7%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))

Compiler

Compiled 66 to 39 computations (40.9% saved)

series1.0ms (0.1%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Counts

3 → 9

Calls

Call 1

Inputs
(fma.f64 #s(approx (- x -1) x) x x)
#s(approx (- x -1) x)
x

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

Calls

3 calls:

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

rewrite59.0ms (3.2%)

Memory

-27.6MiB live, 18.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	99
0	30	93
1	156	85
0	1241	85

Stop Event

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

Counts

12 → 27

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 469 to 75 computations (84% saved)

prune3.0ms (0.2%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	29	6	35

Accuracy

100.0%

Counts

35 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 x #s(literal -1 binary64)) x x)
✓	52.9%	(fma.f64 #s(approx (- x -1) x) x x)
✓	3.9%	(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	56.8%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
✓	100.0%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
✓	45.7%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))

Compiler

Compiled 162 to 71 computations (56.2% saved)

regimes10.0ms (0.5%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(fma.f64 #s(approx (- x -1) x) x x)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x x)
(fma.f64 (-.f64 x #s(literal -1 binary64)) x (+.f64 x #s(literal 0 binary64)))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

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

Calls

4 calls:

3.0ms	x
2.0ms	(+.f64 x #s(literal 1 binary64))
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
2.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

regimes8.0ms (0.4%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(fma.f64 #s(approx (- x -1) x) x x)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 (-.f64 x #s(literal -2 binary64)) x))

Outputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 (-.f64 x #s(literal -2 binary64)) x))

Calls

4 calls:

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

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

regimes7.0ms (0.4%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(fma.f64 #s(approx (- x -1) x) x x)

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

Calls

4 calls:

2.0ms	x
2.0ms	(+.f64 x #s(literal 1 binary64))
1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
1.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
97.6%	3	`(+.f64 x #s(literal 1 binary64))`
97.6%	2	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
97.6%	2	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
97.6%	3	`x`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes10.0ms (0.5%)

Memory

-45.0MiB live, 3.6MiB allocated; 10ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.5%	2	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
97.5%	2	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`

Compiler

Compiled 16 to 9 computations (43.8% saved)

regimes9.0ms (0.5%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Accuracy

Total -34.1b remaining (-123.4%)

Threshold costs -34.1b (-123.4%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))

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

Calls

4 calls:

5.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
1.0ms	x
1.0ms	(+.f64 x #s(literal 1 binary64))
1.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
56.8%	1	`(+.f64 x #s(literal 1 binary64))`
56.8%	1	`x`
56.8%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
56.8%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1164402735630574e-12	123.22284707138598

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1164402735630574e-12	123.22284707138598

Compiler

Compiled 12 to 9 computations (25% saved)

simplify32.0ms (1.7%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	105
1	48	105
2	119	105
3	520	85
4	3050	85

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (-.f64 x #s(literal -1 binary64)) x x)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(if (<=.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (- ( (+ x 1) (+ x 1)) 1) (+.f64 x x)) (fma.f64 #s(approx (- x -1) x) x x))
(if (<=.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (- ( (+ x 1) (+ x 1)) 1) (+.f64 x x)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))

Outputs
(fma.f64 (-.f64 x #s(literal -1 binary64)) x x)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(if (<=.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (- ( (+ x 1) (+ x 1)) 1) (+.f64 x x)) (fma.f64 #s(approx (- x -1) x) x x))
(if (<=.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (- ( (+ x 1) (+ x 1)) 1) (+.f64 x x)) (fma.f64 #s(approx (- x -1) x) x x))
(if (<=.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (- ( (+ x 1) (+ x 1)) 1) (+.f64 x x)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)))
(if (<=.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (- ( (+ x 1) (+ x 1)) 1) (+.f64 x x)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))

derivations27.0ms (1.5%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 105 to 27 computations (74.3% saved)

preprocess25.0ms (1.4%)

Memory: -25.6MiB live, 20.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 228 to 64 computations (71.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (61.4%)

explain91.0ms (5%)

preprocess182.0ms (9.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series2.0ms (0.1%)

rewrite121.0ms (6.6%)

eval19.0ms (1%)

prune7.0ms (0.4%)

series6.0ms (0.3%)

rewrite43.0ms (2.3%)

eval7.0ms (0.4%)

prune4.0ms (0.2%)

series2.0ms (0.1%)

rewrite27.0ms (1.5%)

eval3.0ms (0.2%)

prune3.0ms (0.1%)

series1.0ms (0.1%)

rewrite59.0ms (3.2%)

eval3.0ms (0.1%)

prune3.0ms (0.2%)

regimes10.0ms (0.5%)

regimes8.0ms (0.4%)

regimes7.0ms (0.4%)

regimes10.0ms (0.5%)

regimes9.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify32.0ms (1.7%)

derivations27.0ms (1.5%)

preprocess25.0ms (1.4%)

end0.0ms (0%)

Profiling