Metrics for Expanding a square

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.1s (26.3%)

Memory

44.9MiB live, 633.8MiB allocated

Samples

242.0ms	2 359×	1	valid
169.0ms	1 586×	2	valid
151.0ms	4 311×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 381.0ms

ival-add: 145.0ms (38.1% of total)

ival-mult: 87.0ms (22.8% of total)

adjust: 74.0ms (19.4% of total)

ival-sub: 62.0ms (16.3% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.3% of total)

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

Bogosity

explain78.0ms (1.9%)

Memory

10.3MiB live, 67.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
135	-	-	`(-.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	135	0

Confusion

	Predicted +	Predicted -
+	135	0
-	0	121

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	0	0
-	0	0	121

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	121
1	135

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

13.0ms	164×	1	valid
12.0ms	100×	2	valid
10.0ms	248×	0	valid

Compiler

Compiled 55 to 19 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

adjust: 5.0ms (24.9% of total)

ival-add: 5.0ms (24.9% of total)

ival-mult: 5.0ms (24.9% of total)

ival-sub: 4.0ms (19.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess421.0ms (10.1%)

Memory

-6.3MiB live, 193.0MiB 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

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(-.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)

simplify284.0ms (6.8%)

Memory

-10.1MiB live, 179.5MiB 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)

localize22.0ms (0.5%)

Memory

14.8MiB live, 14.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.015625	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy	31.325608814166483	(-.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

0.015625

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

accuracy

31.325608814166483

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

Samples

6.0ms	82×	1	valid
6.0ms	50×	2	valid
5.0ms	124×	0	valid

Compiler

Compiled 23 to 7 computations (69.6% saved)

Precisions

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

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

adjust: 2.0ms (20.3% of total)

ival-add: 2.0ms (20.3% of total)

ival-sub: 2.0ms (20.3% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (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
1.0ms	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))

simplify122.0ms (2.9%)

Memory

-13.4MiB live, 73.4MiB 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))

rewrite187.0ms (4.5%)

Memory

13.2MiB live, 115.1MiB 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))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 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))

eval68.0ms (1.6%)

Memory: -11.4MiB live, 80.2MiB allocated
Compiler: Compiled 13 483 to 1 756 computations (87% saved)

prune9.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB 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 (+.f64 #s(literal 1 binary64) x) x x)
▶	3.6%	(-.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)
▶	49.5%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
▶	54.0%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))

Compiler

Compiled 96 to 60 computations (37.5% saved)

simplify199.0ms (4.8%)

Memory

-0.6MiB live, 46.6MiB 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	1	(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	56	72
2	127	68
3	458	68
4	1230	68
5	4658	68
6	5762	68
7	6440	68
8	6927	68
9	7383	68
10	7554	68
11	7824	68
12	7909	68
0	8481	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

localize69.0ms (1.6%)

Memory

-9.8MiB live, 45.4MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 2 binary64) x)
accuracy	0.0078125	(*.f64 (+.f64 #s(literal 2 binary64) x) x)
accuracy	0.0	(*.f64 x x)
accuracy	32.325542096838376	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	29.459344115917485	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
accuracy	29.361652179999258	#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
accuracy	31.325608814166483	(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)

Samples

34.0ms	50×	2	valid
13.0ms	124×	0	valid
13.0ms	82×	1	valid

Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

exact: 23.0ms (49.2% of total)

ival-mult: 10.0ms (21.4% of total)

ival-add: 6.0ms (12.8% of total)

adjust: 5.0ms (10.7% of total)

ival-sub: 2.0ms (4.3% of total)

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

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

series5.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB 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))

simplify123.0ms (2.9%)

Memory

-29.1MiB live, 61.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	76	50
2	215	50
3	825	50
4	3648	50
0	8262	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 x #s(literal -2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #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)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* (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 (+ 1 (* 2 (/ 1 x))))
(-.f64 x #s(literal -2 binary64))

rewrite155.0ms (3.7%)

Memory

43.0MiB live, 86.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	69
0	24	62
1	120	60
2	956	60
0	8219	56

Stop Event

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

Counts

10 → 404

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 #s(literal 2 binary64) x) x)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.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 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 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 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (.f64 x (*.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (.f64 x (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 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 (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 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x 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 (-.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 (fma.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (.f64 (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 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 x (-.f64 x #s(literal 2 binary64)) #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 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 x (-.f64 x #s(literal 2 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 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 x x x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 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 (-.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 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 (fma.f64 x x x) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) x))
(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 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) x))
(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)) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) 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) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) 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 #s(literal 2 binary64) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) x))
(fma.f64 x #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) x))
(fma.f64 #s(literal 1 binary64) x (fma.f64 x x x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 x (fma.f64 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 (fma.f64 x x x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (fma.f64 x x x) (*.f64 #s(literal -1 binary64) x))
(-.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(-.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 x) x))
(-.f64 x (*.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x))
(-.f64 x (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (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 (fma.f64 x x x) x)))) (/.f64 (pow.f64 x #s(literal 3 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 x #s(literal 3 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 (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 (fma.f64 x x x) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (/.f64 (*.f64 x (neg.f64 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 (neg.f64 (neg.f64 x)) (neg.f64 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 (neg.f64 x) x) (-.f64 (fma.f64 x x x) x)))
(+.f64 (fma.f64 x x x) x)
(+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x))
(+.f64 x (*.f64 (neg.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))
(+.f64 x (*.f64 (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) x))
(+.f64 x (fma.f64 x x x))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
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(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 x #s(literal 1 binary64))))) (sqrt.f64 (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(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))) (+.f64 x #s(literal 0 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)) (+.f64 x #s(literal 0 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 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)))) (+.f64 x #s(literal 0 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 x #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #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 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x x (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 8 binary64) (fma.f64 x x (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) x)))))
(+.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 x #s(literal 1 binary64)) #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 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(+.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 (/.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 #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)))

eval152.0ms (3.6%)

Memory: -45.4MiB live, 63.1MiB allocated
Compiler: Compiled 7 411 to 1 042 computations (85.9% saved)

prune5.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	327	1	328
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	328	5	333

Accuracy

100.0%

Counts

333 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)
✓	3.6%	(-.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)
▶	54.0%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
✓	49.5%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))

Compiler

Compiled 48 to 29 computations (39.6% saved)

simplify231.0ms (5.5%)

Memory

15.4MiB live, 104.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x x)
cost-diff	0	#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	8	17
1	26	15
2	87	13
3	349	13
4	1106	13
5	4257	13
6	5383	13
7	6074	13
8	6765	13
9	7277	13
10	7532	13
11	7806	13
12	7909	13
0	8753	13

Stop Event

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

Calls

Call 1

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

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

localize57.0ms (1.4%)

Memory

-42.1MiB live, 15.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x x)
accuracy	29.459344115917485	#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))

Samples

39.0ms	124×	0	valid
7.0ms	82×	1	valid
6.0ms	50×	2	valid

Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-add: 35.0ms (81.1% of total)

adjust: 3.0ms (7% of total)

ival-mult: 3.0ms (7% of total)

ival-sub: 2.0ms (4.6% 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

0.8MiB live, 0.8MiB allocated

Counts

2 → 4

Calls

Call 1

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

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) (+ x x))
0.0ms	x	@	-inf	((- (* (+ x 1) (+ x 1)) 1) (+ x x))
0.0ms	x	@	0	((- (* (+ x 1) (+ x 1)) 1) (+ x x))

simplify88.0ms (2.1%)

Memory

35.6MiB live, 35.6MiB 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)

rewrite47.0ms (1.1%)

Memory

-27.2MiB live, 17.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
0	8	14
1	57	14
0	504	12

Stop Event

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

Counts

2 → 11

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 2.7MiB live, 2.7MiB allocated
Compiler: Compiled 211 to 42 computations (80.1% saved)

prune3.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	13	5	18

Accuracy

100.0%

Counts

18 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)
✓	3.6%	(-.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)
✓	54.0%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
✓	49.5%	#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))

Compiler

Compiled 118 to 51 computations (56.8% saved)

regimes9.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

7 → 1

Calls

Call 1

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

2.0ms	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	`(+.f64 x #s(literal 1 binary64))`
100.0%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
100.0%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
100.0%	1	`x`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes9.0ms (0.2%)

Memory

-33.0MiB live, 14.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(+.f64 x #s(literal 1 binary64))
2.0ms	x
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
2.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.6%	3	`(+.f64 x #s(literal 1 binary64))`
98.6%	2	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
98.6%	2	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
98.6%	3	`x`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Accuracy

Total -32.4b remaining (-110.1%)

Threshold costs -32.4b (-110.1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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
54.0%	1	`(+.f64 x #s(literal 1 binary64))`
54.0%	1	`x`
54.0%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
54.0%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0036013905889054065	279713143531554.13

Compiler

Compiled 12 to 9 computations (25% saved)

simplify57.0ms (1.4%)

Memory

17.9MiB live, 17.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	62
1	39	62
2	101	56
3	399	50
4	1249	50
5	4198	50
6	6135	50

Stop Event

1×	node limit

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 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (- ( (+ x 1) (+ x 1)) 1) (+.f64 x x)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))

Outputs
(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(if (<=.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (- ( (+ x 1) (+ x 1)) 1) (+.f64 x x)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))

soundness649.0ms (15.5%)

Memory

-31.6MiB live, 65.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	69
0	24	62
1	120	60
2	956	60
0	8219	56
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

Stop Event

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

Compiler

Compiled 132 to 61 computations (53.8% saved)

preprocess21.0ms (0.5%)

Memory: 16.4MiB live, 16.4MiB allocated
Compiler: Compiled 142 to 52 computations (63.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (26.3%)

explain78.0ms (1.9%)

preprocess421.0ms (10.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify284.0ms (6.8%)

localize22.0ms (0.5%)

series2.0ms (0%)

simplify122.0ms (2.9%)

rewrite187.0ms (4.5%)

eval68.0ms (1.6%)

prune9.0ms (0.2%)

simplify199.0ms (4.8%)

localize69.0ms (1.6%)

series5.0ms (0.1%)

simplify123.0ms (2.9%)

rewrite155.0ms (3.7%)

eval152.0ms (3.6%)

prune5.0ms (0.1%)

simplify231.0ms (5.5%)

localize57.0ms (1.4%)

series1.0ms (0%)

simplify88.0ms (2.1%)

rewrite47.0ms (1.1%)

eval1.0ms (0%)

prune3.0ms (0.1%)

regimes9.0ms (0.2%)

regimes9.0ms (0.2%)

regimes6.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

simplify57.0ms (1.4%)

soundness649.0ms (15.5%)

preprocess21.0ms (0.5%)

end0.0ms (0%)

Profiling