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)

sample807.0ms (21.3%)

Memory

36.8MiB live, 711.2MiB allocated

Samples

221.0ms	1 589×	2	valid
178.0ms	2 393×	1	valid
145.0ms	4 274×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 339.0ms

ival-mult: 101.0ms (29.8% of total)

adjust: 81.0ms (23.9% of total)

ival-add: 77.0ms (22.7% of total)

ival-sub: 67.0ms (19.7% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

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

Bogosity

explain109.0ms (2.9%)

Memory

-27.3MiB live, 102.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
133	-	-	`(-.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	133	0

Confusion

	Predicted +	Predicted -
+	133	0
-	0	123

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	0	0	123

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

17.0ms	258×	0	valid
12.0ms	152×	1	valid
12.0ms	102×	2	valid

Compiler

Compiled 55 to 19 computations (65.5% saved)

Precisions

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

ival-mult: 6.0ms (28.6% of total)

adjust: 5.0ms (23.8% of total)

ival-add: 5.0ms (23.8% of total)

ival-sub: 4.0ms (19% of total)

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

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

exact: 0.0ms (0% of total)

preprocess333.0ms (8.8%)

Memory

13.6MiB live, 198.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	23	19
2	92	11
3	455	10
4	1390	10
5	3539	10
6	4300	10
7	5306	10
8	6341	10
9	6902	10
0	5	9
0	8	9
1	24	7
2	85	5
3	348	5
4	1100	5
5	4224	5
6	5343	5
7	6028	5
8	6689	5
9	7199	5
10	7452	5
11	7720	5
12	7817	5
0	8661	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(-.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)

simplify322.0ms (8.5%)

Memory

10.5MiB live, 150.3MiB 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	1	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
cost-diff	3	(-.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

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

cost-diff

(-.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	24	19
2	85	17
3	348	17
4	1100	17
5	4224	17
6	5343	17
7	6028	17
8	6689	17
9	7199	17
10	7452	17
11	7720	17
12	7817	17
0	8661	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)

localize23.0ms (0.6%)

Memory

-15.4MiB live, 15.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.03515625	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy	29.980713606480045	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

New

Metric

Score

Program

accuracy

0.0

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

accuracy

0.03515625

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

accuracy

29.980713606480045

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

Samples

7.0ms	51×	2	valid
6.0ms	76×	1	valid
5.0ms	129×	0	valid

Compiler

Compiled 23 to 7 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (36.1% of total)

adjust: 2.0ms (18.1% of total)

ival-add: 2.0ms (18.1% of total)

ival-sub: 2.0ms (18.1% 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

1.1MiB live, 1.1MiB 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))

simplify115.0ms (3%)

Memory

16.0MiB live, 78.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	70	43
2	199	43
3	845	43
4	3703	43
0	8187	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 x #s(literal -2 binary64)) 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 x #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))

rewrite157.0ms (4.1%)

Memory

-22.4MiB live, 109.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	19
0	8	15
1	50	15
2	441	13
3	7557	13
0	8044	13

Stop Event

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

Counts

3 → 559

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 (log1p.f64 x) #s(literal 4 binary64))) (-.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 (log1p.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 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 4 binary64))) (expm1.f64 (.f64 (log1p.f64 x) #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 2 binary64) x) x))
(.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 (log1p.f64 x) #s(literal 4 binary64))) (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 (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 (fma.f64 #s(literal -1 binary64) x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -2 binary64)))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (tanh.f64 (log1p.f64 x)))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.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) (+.f64 (-.f64 #s(literal 0 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 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 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 (.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))))
(/.f64 (-.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) (-.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) (-.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (+.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) (-.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 x x x) x))
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.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))) (fma.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))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) (-.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) (-.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) (-.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) (-.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 x x x) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) 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))))
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(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #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 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (fabs.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fabs.f64 (-.f64 x (fma.f64 x 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 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.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 (neg.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)))
(/.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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (fabs.f64 (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 (fabs.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fabs.f64 (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (sinh.f64 (acosh.f64 x)))
(/.f64 (hypot.f64 (pow.f64 (fma.f64 x x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 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 6 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 (pow.f64 x #s(literal 6 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 (pow.f64 x #s(literal 9 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 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fabs.f64 (fma.f64 x x #s(literal -1 binary64))) (fabs.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (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 x (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (fma.f64 #s(literal -1 binary64) x #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))) (+.f64 (-.f64 #s(literal 0 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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 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))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.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)) #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 (*.f64 x x) (/.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #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 (*.f64 x x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.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)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(fabs.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fabs.f64 (+.f64 #s(literal 1 binary64) x))
(exp.f64 (/.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (/.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log1p.f64 x) #s(literal 1 binary64))) (sinh.f64 (.f64 (log1p.f64 x) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.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)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(+.f64 (neg.f64 (neg.f64 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)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval65.0ms (1.7%)

Memory: 24.5MiB live, 85.2MiB allocated
Compiler: Compiled 13 483 to 1 756 computations (87% saved)

prune13.0ms (0.3%)

Memory

-1.1MiB live, 27.9MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	656	5	661
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	657	5	662

Accuracy

100.0%

Counts

662 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (+.f64 x x))
▶	3.7%	(-.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)
▶	49.2%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
▶	52.4%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))

Compiler

Compiled 96 to 58 computations (39.6% saved)

simplify168.0ms (4.4%)

Memory

-20.7MiB live, 46.8MiB 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 x x)
cost-diff	1	(fma.f64 x x (+.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	76
0	23	77
1	51	71
2	137	67
3	442	67
4	1203	67
5	4698	67
6	5786	67
7	6456	67
8	7054	67
9	7510	67
10	7742	67
0	8016	65

Stop Event

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

Calls

Call 1

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

localize41.0ms (1.1%)

Memory

-3.8MiB live, 26.1MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 2 binary64) x)
accuracy	0.01953125	(*.f64 (+.f64 #s(literal 2 binary64) x) x)
accuracy	0.0	(*.f64 x x)
accuracy	32.48337246888567	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	30.48565106188827	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
accuracy	29.980713606480045	(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	30.34315467592961	#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 x x (+.f64 x x))
accuracy	0.0	(+.f64 x x)

Samples

11.0ms	76×	1	valid
10.0ms	51×	2	valid
10.0ms	129×	0	valid

Compiler

Compiled 67 to 14 computations (79.1% saved)

Precisions

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

ival-mult: 7.0ms (36.2% of total)

adjust: 5.0ms (25.9% of total)

ival-add: 5.0ms (25.9% of total)

ival-sub: 2.0ms (10.4% 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

4.9MiB live, 4.9MiB allocated

Counts

10 → 12

Calls

Call 1

Inputs
(fma.f64 x x (+.f64 x x))
(+.f64 x 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 (* 2 x))
(+ 1 (* x (+ 2 x)))
(pow x 2)
2
(+ 2 x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 2 (/ 1 x))))

Calls

3 calls:

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

1.0ms

-inf

((+ (* x x) (+ x x)) (+ x 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

((+ (* x x) (+ x x)) (+ x 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 x) (+ x x)) (+ x 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))

simplify194.0ms (5.1%)

Memory

-3.7MiB live, 95.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	66	44
2	206	44
3	906	44
4	3786	44
0	8387	41

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 11

Calls

Call 1

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

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

rewrite115.0ms (3%)

Memory

5.1MiB live, 62.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	69
0	23	62
1	116	60
2	1012	52
0	9363	48

Stop Event

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

Counts

10 → 465

Calls

Call 1

Inputs
(fma.f64 x x (+.f64 x x))
(+.f64 x 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 (neg.f64 (neg.f64 x)) #s(literal 0 binary64)) (-.f64 (neg.f64 (neg.f64 x)) #s(literal 0 binary64)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(*.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))) (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))))
(*.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(*.f64 (+.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 2 binary64) x)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 x #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(*.f64 x (-.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (-.f64 x (fma.f64 x x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x) (.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 x x) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 (.f64 x x) (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 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 (-.f64 #s(literal 2 binary64) x) x #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 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 x x x) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 x x (*.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))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 x x x) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (fma.f64 x x x))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) x) (/.f64 (.f64 (neg.f64 x) x) (-.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 x (neg.f64 x)) x) (/.f64 (.f64 x (neg.f64 x)) (-.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (.f64 x x)) x) (/.f64 (neg.f64 (.f64 x x)) (-.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (neg.f64 x) (-.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 x (-.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 x x) (-.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 x x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (.f64 (.f64 (neg.f64 x) x) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (.f64 (.f64 x (neg.f64 x)) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (.f64 #s(literal -4 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (.f64 (neg.f64 (.f64 x x)) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (fma.f64 x x x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 x x x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 x x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 (neg.f64 x) x) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 x (neg.f64 x)) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 #s(literal -4 binary64) (.f64 x x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (neg.f64 (.f64 x x)) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 (neg.f64 x) x) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 x (neg.f64 x)) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 #s(literal -4 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (neg.f64 (.f64 x x)) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 x (neg.f64 x)) #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 #s(literal -4 binary64) (.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (neg.f64 (.f64 x x)) #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 x) x) #s(literal 4 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 x (neg.f64 x)) #s(literal 4 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (neg.f64 (*.f64 x x)) #s(literal 4 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (*.f64 #s(literal -1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) x x)
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (*.f64 x (neg.f64 x)) #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (neg.f64 (*.f64 x x)) #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x (fma.f64 x x x))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1 binary64) x))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 x #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 x x (.f64 (.f64 (neg.f64 x) x) #s(literal 4 binary64)))
(fma.f64 x x (.f64 (.f64 x (neg.f64 x)) #s(literal 4 binary64)))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 x x)))
(fma.f64 x x (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x x (.f64 (neg.f64 (.f64 x x)) #s(literal 4 binary64)))
(fma.f64 x x (*.f64 #s(literal -2 binary64) x))
(fma.f64 x x (*.f64 (neg.f64 x) #s(literal 2 binary64)))
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(+.f64 (.f64 x x) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 x x)) #s(literal 4 binary64)))
(+.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x))
(+.f64 (.f64 x x) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 x (fma.f64 x x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x))) (.f64 (/.f64 (.f64 x x) (-.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)) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (fma.f64 (/.f64 (.f64 x x) (-.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)) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 4 binary64))) (neg.f64 (-.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 x #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 #s(literal 8 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)) (.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64))) (+.f64 x #s(literal 0 binary64)))
(fma.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)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 1 binary64) #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 #s(literal 1 binary64) x) #s(literal 4 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 0 binary64))) (/.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 0 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (+.f64 x #s(literal 0 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 x #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 2 binary64) x)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 4 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 x x #s(literal 4 binary64))))
(+.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 0 binary64))) (/.f64 (+.f64 x #s(literal 0 binary64)) (+.f64 x #s(literal 0 binary64))))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 x #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 0 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(+.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 #s(literal 2 binary64) x)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 2 binary64))

eval27.0ms (0.7%)

Memory: 24.1MiB live, 24.1MiB allocated
Compiler: Compiled 5 147 to 715 computations (86.1% saved)

prune25.0ms (0.7%)

Memory

-23.5MiB live, 17.3MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	291	1	292
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	292	5	297

Accuracy

100.0%

Counts

297 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 x x))
✓	100.0%	(*.f64 (+.f64 #s(literal 2 binary64) x) x)
✓	49.2%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
✓	52.4%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
▶	3.7%	#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(literal 0 binary64))

Compiler

Compiled 48 to 29 computations (39.6% saved)

simplify222.0ms (5.8%)

Memory

23.1MiB live, 110.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(literal 0 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	12
0	7	12
1	22	10
2	83	8
3	348	8
4	1104	8
5	4313	8
6	5437	8
7	6116	8
8	6812	8
9	7322	8
10	7575	8
11	7845	8
12	7946	8
0	8790	8

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(literal 0 binary64))
#s(literal 0 binary64)

localize51.0ms (1.3%)

Memory

-9.3MiB live, 30.9MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	61.63528657532847	#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(literal 0 binary64))

Samples

34.0ms	51×	2	valid
7.0ms	129×	0	valid
5.0ms	76×	1	valid

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 5.0ms (40.8% of total)

ival-mult: 3.0ms (24.5% of total)

adjust: 2.0ms (16.3% of total)

ival-sub: 2.0ms (16.3% 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

0.6MiB live, 0.6MiB allocated

Counts

1 → 4

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(literal 0 binary64))

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

Calls

3 calls:

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

simplify83.0ms (2.2%)

Memory

-1.0MiB live, 29.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	37	16
2	96	16
3	362	16
4	1316	16
5	2904	16
6	4715	16
7	6481	16
0	8194	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 4

Calls

Call 1

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

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

rewrite117.0ms (3.1%)

Memory

-0.7MiB live, 57.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	11
0	7	9
1	49	9
2	439	7
3	7543	7
0	8030	7

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(literal 0 binary64))

Outputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(literal 0 binary64))

eval1.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 52 to 16 computations (69.2% saved)

prune2.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	4	5	9

Accuracy

100.0%

Counts

9 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 x x))
✓	100.0%	(*.f64 (+.f64 #s(literal 2 binary64) x) x)
✓	49.2%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
✓	52.4%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
✓	3.7%	#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(literal 0 binary64))

Compiler

Compiled 116 to 51 computations (56% saved)

regimes25.0ms (0.7%)

Memory

-26.1MiB live, 11.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(fma.f64 x x (+.f64 x x))

Calls

4 calls:

14.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
5.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
3.0ms	x
2.0ms	(+.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

11.7MiB live, 11.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

regimes7.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

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
96.9%	3	`x`
96.9%	2	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
96.9%	2	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
96.9%	3	`(+.f64 x #s(literal 1 binary64))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes7.0ms (0.2%)

Memory

-19.5MiB live, 12.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.4%	1	`x`
52.4%	1	`(+.f64 x #s(literal 1 binary64))`
52.4%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
52.4%	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

6.0MiB live, 6.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) #s(literal 0 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
3.7%	1	`x`
3.7%	1	`(+.f64 x #s(literal 1 binary64))`
3.7%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
3.7%	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	1.1660302843240347	15.17747801680706

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify61.0ms (1.6%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	71
1	36	71
2	96	63
3	390	55
4	1260	55
5	4449	55
6	5418	55
7	6134	55
8	6841	55
9	7555	55

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness659.0ms (17.4%)

Memory

-24.4MiB live, 101.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	70	43
2	199	43
3	845	43
4	3703	43
0	8187	40
0	5	19
0	8	15
1	50	15
2	441	13
3	7557	13
0	8044	13
0	16	69
0	23	62
1	116	60
2	1012	52
0	9363	48

Stop Event

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

Compiler

Compiled 112 to 47 computations (58% saved)

preprocess23.0ms (0.6%)

Memory: 25.5MiB live, 25.5MiB allocated
Compiler: Compiled 160 to 52 computations (67.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample807.0ms (21.3%)

explain109.0ms (2.9%)

preprocess333.0ms (8.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify322.0ms (8.5%)

localize23.0ms (0.6%)

series1.0ms (0%)

simplify115.0ms (3%)

rewrite157.0ms (4.1%)

eval65.0ms (1.7%)

prune13.0ms (0.3%)

simplify168.0ms (4.4%)

localize41.0ms (1.1%)

series4.0ms (0.1%)

simplify194.0ms (5.1%)

rewrite115.0ms (3%)

eval27.0ms (0.7%)

prune25.0ms (0.7%)

simplify222.0ms (5.8%)

localize51.0ms (1.3%)

series1.0ms (0%)

simplify83.0ms (2.2%)

rewrite117.0ms (3.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

regimes25.0ms (0.7%)

regimes8.0ms (0.2%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify61.0ms (1.6%)

soundness659.0ms (17.4%)

preprocess23.0ms (0.6%)

end0.0ms (0%)

Profiling