Metrics for Expanding a square

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

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)

sample759.0ms (21.5%)

Memory

18.4MiB live, 691.1MiB allocated

Samples

196.0ms	1 545×	2	valid
164.0ms	2 424×	1	valid
154.0ms	4 287×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 342.0ms

adjust: 107.0ms (31.3% of total)

ival-mult: 84.0ms (24.5% of total)

ival-add: 75.0ms (21.9% of total)

ival-sub: 63.0ms (18.4% of total)

ival-true: 5.0ms (1.5% of total)

exact: 5.0ms (1.5% of total)

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

Bogosity

explain81.0ms (2.3%)

Memory

5.2MiB live, 105.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
131	-	-	`(-.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	131	0

Confusion

	Predicted +	Predicted -
+	131	0
-	0	125

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	0	0	125

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	125
1	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

13.0ms	112×	2	valid
12.0ms	252×	0	valid
11.0ms	148×	1	valid

Compiler

Compiled 76 to 24 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sub: 6.0ms (27.2% of total)

adjust: 5.0ms (22.7% of total)

ival-add: 5.0ms (22.7% of total)

ival-mult: 5.0ms (22.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess385.0ms (10.9%)

Memory

16.8MiB live, 172.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	26	19
2	88	13
3	328	10
4	1361	10
5	3610	10
6	4907	10
7	5634	10
8	5972	10
9	6053	10
10	6063	10
11	6407	10
12	6575	10
13	6596	10
14	6827	10
15	6841	10
16	6923	10
17	7003	10
18	7040	10
19	7040	10
20	7040	10
21	7044	10
22	7044	10
0	5	9
0	8	9
1	23	7
2	52	5
3	115	5
4	487	5
5	1667	5
6	4146	5
7	5949	5
8	7292	5
0	8168	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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.4%	(-.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)

simplify157.0ms (4.4%)

Memory

-8.2MiB live, 117.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
cost-diff	256	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

New

Metric

Score

Program

cost-diff

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

cost-diff

128

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

cost-diff

256

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	21
0	8	21
1	23	19
2	52	17
3	115	17
4	487	17
5	1667	17
6	4146	17
7	5949	17
8	7292	17
0	8168	16

Stop Event

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

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

localize100.0ms (2.8%)

Memory

-25.6MiB live, 51.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy	30.466652132557154	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

New

Metric

Score

Program

accuracy

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

accuracy

0.01171875

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

accuracy

30.466652132557154

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

Samples

62.0ms	126×	0	valid
26.0ms	56×	2	valid
6.0ms	74×	1	valid

Compiler

Compiled 44 to 12 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

adjust: 22.0ms (75.8% of total)

ival-mult: 3.0ms (10.3% of total)

ival-add: 2.0ms (6.9% of total)

ival-sub: 2.0ms (6.9% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

3 → 11

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))

Outputs
(* 2 x)
(* x (+ 2 x))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* x (+ 1 (/ 1 x)))

Calls

3 calls:

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

simplify209.0ms (5.9%)

Memory

0.2MiB live, 120.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	58	43
2	115	43
3	290	43
4	560	43
5	2315	43
6	3677	43
7	4531	43
8	5159	43
9	6034	43
10	6371	43
11	6639	43
0	8055	40

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 x))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* x (+ 1 (/ 1 x)))

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

rewrite163.0ms (4.6%)

Memory

16.0MiB live, 114.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	19
0	8	15
1	48	15
2	379	13
3	6334	13
0	8237	13

Stop Event

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

Counts

3 → 600

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))

Outputs
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 4 binary64) (log1p.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 4 binary64) (log1p.f64 x))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 6 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 8 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (log1p.f64 x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 12 binary64)))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 8 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 4 binary64) (log1p.f64 x))) (expm1.f64 (.f64 #s(literal 4 binary64) (log1p.f64 x)))) (.f64 (+.f64 #s(literal 2 binary64) x) x))
(.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 2 binary64) x) x))
(.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64)) (expm1.f64 (.f64 #s(literal 4 binary64) (log1p.f64 x))))
(.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 6 binary64))))
(.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 4 binary64) (log1p.f64 x)))) (pow.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 6 binary64)))) (pow.f64 (neg.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))))
(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 #s(literal 4 binary64) (log1p.f64 x))) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 6 binary64))) (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) x)) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (+.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 #s(literal -1 binary64) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) x)
(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 8 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 12 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 12 binary64))) (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 18 binary64))) (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (.f64 x (.f64 (+.f64 #s(literal 2 binary64) x) x)) x)
(/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) (.f64 (+.f64 #s(literal 2 binary64) x) x)) (+.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)))) (.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64))))
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(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.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))) (pow.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (.f64 x (/.f64 x (-.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)))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (.f64 x (/.f64 x (-.f64 x #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)) (.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #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 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.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) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (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 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #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 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x 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 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.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)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (+.f64 #s(literal 2 binary64) x) x)) x #s(literal 1 binary64))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 x (+.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (log1p.f64 x))) (/.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 6 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval76.0ms (2.1%)

Memory: 5.2MiB live, 94.6MiB allocated
Compiler: Compiled 14 353 to 1 676 computations (88.3% saved)

prune14.0ms (0.4%)

Memory

-3.2MiB live, 33.2MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	687	5	692
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	688	5	693

Accuracy

100.0%

Counts

693 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)
▶	3.9%	(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(*.f64 (+.f64 #s(literal 2 binary64) x) x)
▶	49.9%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
▶	52.9%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))

Compiler

Compiled 96 to 60 computations (37.5% saved)

simplify150.0ms (4.2%)

Memory

-5.2MiB live, 55.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 2 binary64) x)
cost-diff	0	(*.f64 (+.f64 #s(literal 2 binary64) x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
cost-diff	0	#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	64	(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	77
0	24	78
1	50	72
2	77	68
3	133	68
4	501	68
5	1688	68
6	4169	68
7	5976	68
8	7328	68
0	8109	66

Stop Event

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

Calls

Call 1

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

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

localize43.0ms (1.2%)

Memory

17.6MiB live, 17.6MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 2 binary64) x)
accuracy	0.0078125	(*.f64 (+.f64 #s(literal 2 binary64) x) x)
accuracy	0	(*.f64 x x)
accuracy	32.067720089741776	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	30.16682436765458	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
accuracy	30.048107822428424	#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
accuracy	30.466652132557154	(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0	(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)
accuracy	0	(+.f64 #s(literal 1 binary64) x)

Samples

12.0ms	56×	2	valid
11.0ms	74×	1	valid
11.0ms	126×	0	valid

Compiler

Compiled 145 to 32 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (37.5% of total)

ival-add: 6.0ms (28.2% of total)

adjust: 5.0ms (23.5% of total)

ival-sub: 2.0ms (9.4% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

10 → 14

Calls

Call 1

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

Outputs
(* 2 x)
(* x (+ 2 x))
1
(+ 1 x)
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(pow x 2)
2
(+ 2 x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1 (* 2 (/ 1 x))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

simplify282.0ms (8%)

Memory

-22.3MiB live, 80.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	64	50
2	127	50
3	258	50
4	531	50
5	2241	50
6	3566	50
7	4426	50
8	5058	50
9	5904	50
10	6241	50
11	6502	50
12	7918	50
0	8037	47

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 x))
1
(+ 1 x)
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(pow x 2)
2
(+ 2 x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1 (* 2 (/ 1 x))))

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

rewrite263.0ms (7.4%)

Memory

4.6MiB live, 64.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	69
0	24	62
1	113	60
2	859	56
0	8400	56

Stop Event

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

Counts

10 → 689

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 x (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 x x x))))
(.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x x x) x))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))))
(.f64 (neg.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 4 binary64)))) (/.f64 #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 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 6 binary64)))) (/.f64 #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 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (-.f64 (fma.f64 x x x) x) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 6 binary64))) (pow.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))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (.f64 (fma.f64 x x x) x)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) x) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (fma.f64 x x x) x)) (/.f64 (.f64 x x) (-.f64 (fma.f64 x x x) x)))) (+.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 x x x) x))))
(/.f64 (-.f64 (.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 (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 (pow.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 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))) (pow.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.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 (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 (pow.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))) #s(literal -1 binary64)) (pow.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))) #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)))) (pow.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))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (fma.f64 x x x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (fma.f64 x x x) x)) (/.f64 (.f64 x x) (-.f64 (fma.f64 x x x) x)) (.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 x x x) x))))))
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.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 (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))) (fma.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 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))) (pow.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 (pow.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))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.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 (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)))) (fma.f64 (pow.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))) #s(literal -1 binary64)) (pow.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))) #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)))) (pow.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))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) x)) (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 x x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x x) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 6 binary64))))) (neg.f64 (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 (.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (.f64 (-.f64 (fma.f64 x x x) x) (.f64 x x))) (.f64 (-.f64 (fma.f64 x x x) x) (-.f64 (fma.f64 x x x) x)))
(/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 6 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.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 (+.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))) #s(literal 1 binary64))) (*.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)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
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(fma.f64 #s(literal 1 binary64) x #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64))))
(-.f64 (/.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))) x) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(-.f64 (/.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)))) x) (/.f64 (pow.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))) #s(literal -1 binary64)) x))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 2 binary64) x)
(+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))

eval68.0ms (1.9%)

Memory: -0.2MiB live, 64.9MiB allocated
Compiler: Compiled 10 795 to 1 165 computations (89.2% saved)

prune9.0ms (0.2%)

Memory

-9.2MiB live, 22.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	457	0	457
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	457	5	462

Accuracy

100.0%

Counts

462 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)
✓	3.9%	(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(*.f64 (+.f64 #s(literal 2 binary64) x) x)
✓	49.9%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
✓	52.9%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))

Compiler

Compiled 105 to 50 computations (52.4% saved)

regimes10.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

regimes8.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 (+.f64 #s(literal 2 binary64) x) 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	`x`
100.0%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
100.0%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
100.0%	1	`(+.f64 x #s(literal 1 binary64))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes8.0ms (0.2%)

Memory

-22.4MiB live, 8.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

(-.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 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 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))
1.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(-.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 #s(literal 2 binary64) x))

Calls

4 calls:

1.0ms	x
1.0ms	(+.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
52.9%	1	`x`
52.9%	1	`(+.f64 x #s(literal 1 binary64))`
52.9%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
52.9%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	x
1.0ms	(+.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
3.9%	1	`x`
3.9%	1	`(+.f64 x #s(literal 1 binary64))`
3.9%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
3.9%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000000000019892	63.665483304156616

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify68.0ms (1.9%)

Memory

-22.0MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	71
1	29	71
2	33	71
3	36	71
4	39	71
5	42	71

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness641.0ms (18.1%)

Memory

3.9MiB live, 130.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	19
0	8	15
1	48	15
2	379	13
3	6334	13
0	8237	13
0	20	43
1	58	43
2	115	43
3	290	43
4	560	43
5	2315	43
6	3677	43
7	4531	43
8	5159	43
9	6034	43
10	6371	43
11	6639	43
0	8055	40

Stop Event

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

Compiler

Compiled 118 to 47 computations (60.2% saved)

preprocess28.0ms (0.8%)

Memory: 6.1MiB live, 37.0MiB allocated
Compiler: Compiled 160 to 50 computations (68.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample759.0ms (21.5%)

explain81.0ms (2.3%)

preprocess385.0ms (10.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify157.0ms (4.4%)

localize100.0ms (2.8%)

series1.0ms (0%)

simplify209.0ms (5.9%)

rewrite163.0ms (4.6%)

eval76.0ms (2.1%)

prune14.0ms (0.4%)

simplify150.0ms (4.2%)

localize43.0ms (1.2%)

series4.0ms (0.1%)

simplify282.0ms (8%)

rewrite263.0ms (7.4%)

eval68.0ms (1.9%)

prune9.0ms (0.2%)

regimes10.0ms (0.3%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify68.0ms (1.9%)

soundness641.0ms (18.1%)

preprocess28.0ms (0.8%)

end0.0ms (0%)

Profiling