Metrics for Data.Random.Dice:roll from dice-0.1

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 7 to 6 computations (14.3% saved)

sample693.0ms (19%)

Memory

61.2MiB live, 989.8MiB allocated

Samples

478.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

ival-mult: 129.0ms (47.8% of total)

ival-sub: 126.0ms (46.7% of total)

ival-true: 6.0ms (2.2% of total)

exact: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain59.0ms (1.6%)

Memory

-7.1MiB live, 133.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

21.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (51.4% of total)

ival-sub: 2.0ms (25.7% of total)

ival-true: 1.0ms (12.8% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess229.0ms (6.3%)

Memory

-8.3MiB live, 270.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	20	11
2	56	11
3	95	11
4	185	10
5	343	10
6	692	10
7	1115	10
8	1586	10
9	2232	10
10	5210	10
11	6450	10
12	7499	10
13	7995	10
0	4	5
0	6	5
1	15	5
2	39	5
3	78	5
4	138	5
5	226	5
6	441	5
7	709	5
8	1070	5
9	1742	5
10	4766	5
11	6186	5
12	6925	5
13	7712	5
0	8030	4

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 4 computations (20% saved)

simplify314.0ms (8.6%)

Memory

-22.1MiB live, 195.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	15	10
2	39	10
3	78	10
4	138	10
5	226	10
6	441	10
7	709	10
8	1070	10
9	1742	10
10	4766	10
11	6186	10
12	6925	10
13	7712	10
0	8030	9

Stop Event

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

Calls

Call 1

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

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

localize12.0ms (0.3%)

Memory

19.4MiB live, 19.4MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (54.8% of total)

ival-sub: 1.0ms (27.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.4MiB live, 2.3MiB allocated

Counts

2 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

simplify185.0ms (5.1%)

Memory

0.5MiB live, 137.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	14	20
2	27	20
3	64	20
4	129	20
5	217	20
6	337	20
7	564	20
8	861	20
9	1270	20
10	1918	20
11	5655	20
12	6532	20
13	7351	20
0	8009	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 4

Calls

Call 1

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

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

rewrite207.0ms (5.7%)

Memory

-14.9MiB live, 211.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	31	8
2	202	8
3	2300	8
0	9282	7

Stop Event

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

Counts

2 → 208

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (tanh.f64 (log.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 x (-.f64 x #s(literal 1 binary64))))) (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 x (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 x (-.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) (-.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 x (-.f64 x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 x (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
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(expm1.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))))))
(-.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (tanh.f64 (log.f64 x)))
(+.f64 (/.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 x (-.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x x) #s(literal -1 binary64))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval42.0ms (1.1%)

Memory: 16.6MiB live, 77.1MiB allocated
Compiler: Compiled 4 283 to 538 computations (87.4% saved)

prune3.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	210	2	212
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	211	2	213

Accuracy

100.0%

Counts

213 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x #s(literal -1 binary64))
▶	53.1%	#s(approx (- (* x x) 1) #s(literal -1 binary64))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify204.0ms (5.6%)

Memory

-12.4MiB live, 183.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
0	8	13
1	18	13
2	46	13
3	92	13
4	149	13
5	237	13
6	452	13
7	722	13
8	1084	13
9	1737	13
10	4765	13
11	6190	13
12	6924	13
13	7712	13
0	8034	13

Stop Event

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

Calls

Call 1

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

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

localize28.0ms (0.8%)

Memory

-4.6MiB live, 36.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	30.012046075103136	#s(approx (- (* x x) 1) #s(literal -1 binary64))

Samples

23.0ms

256×

valid

Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sub: 14.0ms (77.5% of total)

ival-mult: 2.0ms (11.1% of total)

ival-add: 1.0ms (5.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

2 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

simplify176.0ms (4.8%)

Memory

-11.6MiB live, 140.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	14	20
2	27	20
3	64	20
4	129	20
5	217	20
6	337	20
7	564	20
8	861	20
9	1270	20
10	1917	20
11	5653	20
12	6544	20
13	7373	20
0	8052	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 4

Calls

Call 1

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

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

rewrite108.0ms (3%)

Memory

26.1MiB live, 218.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
0	8	10
1	43	10
2	279	10
3	3310	10
0	9333	10

Stop Event

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

Counts

2 → 225

Calls

Call 1

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

Outputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
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(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (tanh.f64 (log.f64 x)) (/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 x (-.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x x))

eval44.0ms (1.2%)

Memory: -17.9MiB live, 74.2MiB allocated
Compiler: Compiled 5 273 to 552 computations (89.5% saved)

prune3.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	227	1	228
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	227	3	230

Accuracy

100.0%

Counts

230 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x #s(literal -1 binary64))
▶	46.6%	#s(approx (- (* x x) 1) (*.f64 x x))
✓	53.1%	#s(approx (- (* x x) 1) #s(literal -1 binary64))

Compiler

Compiled 20 to 15 computations (25% saved)

simplify204.0ms (5.6%)

Memory

-17.3MiB live, 170.3MiB 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 x) 1) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	7	13
1	16	13
2	40	13
3	79	13
4	139	13
5	227	13
6	442	13
7	712	13
8	1076	13
9	1745	13
10	4769	13
11	6196	13
12	6923	13
13	7722	13
0	8076	12

Stop Event

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

Calls

Call 1

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

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

localize13.0ms (0.4%)

Memory

14.0MiB live, 14.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x x)
accuracy	34.16702534183785	#s(approx (- (* x x) 1) (*.f64 x x))

Samples

9.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (51.5% of total)

ival-sub: 1.0ms (25.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

2 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

simplify254.0ms (7%)

Memory

-30.7MiB live, 162.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	14	20
2	27	20
3	64	20
4	129	20
5	217	20
6	337	20
7	564	20
8	861	20
9	1270	20
10	1917	20
11	5653	20
12	6544	20
13	7373	20
0	8052	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 4

Calls

Call 1

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

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

rewrite184.0ms (5%)

Memory

40.6MiB live, 227.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
0	7	12
1	32	12
2	203	12
3	2301	12
0	9280	11

Stop Event

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

Counts

2 → 21

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 5.7MiB live, 5.7MiB allocated
Compiler: Compiled 358 to 82 computations (77.1% saved)

prune37.0ms (1%)

Memory

-42.5MiB live, 4.3MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	25	3	28

Accuracy

100.0%

Counts

28 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x #s(literal -1 binary64))
✓	46.6%	#s(approx (- (* x x) 1) (*.f64 x x))
✓	53.1%	#s(approx (- (* x x) 1) #s(literal -1 binary64))

Compiler

Compiled 45 to 26 computations (42.2% saved)

regimes5.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.8%	2	`(*.f64 x x)`
97.8%	2	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`
97.8%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.1%	1	`(*.f64 x x)`
53.1%	1	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`
53.1%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch9.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.863070194704651	13.974039876814055

Samples

4.0ms

112×

valid

Compiler

Compiled 120 to 106 computations (11.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (62.6% of total)

ival-mult: 1.0ms (62.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify121.0ms (3.3%)

Memory

-33.6MiB live, 70.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	20	31
2	44	31
3	89	31
4	157	31
5	258	31
6	482	31
7	796	31
8	1176	31
9	1979	31
10	4007	31
11	4823	31
12	5599	31
13	7116	31

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

#s(approx (- (* x x) 1) #s(literal -1 binary64))

Outputs

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

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

#s(approx (- (* x x) 1) #s(literal -1 binary64))

derivations484.0ms (13.2%)

Memory

3.4MiB live, 428.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	14	20
2	27	20
3	64	20
4	129	20
5	217	20
6	337	20
7	564	20
8	861	20
9	1270	20
10	1917	20
11	5653	20
12	6544	20
13	7373	20
0	8052	19
0	9	20
1	14	20
2	27	20
3	64	20
4	129	20
5	217	20
6	337	20
7	564	20
8	861	20
9	1270	20
10	1918	20
11	5655	20
12	6532	20
13	7351	20
0	8009	19
0	4	8
0	6	8
1	31	8
2	202	8
3	2300	8
0	9282	7

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

Compiler

Compiled 31 to 12 computations (61.3% saved)

preprocess21.0ms (0.6%)

Memory: 31.0MiB live, 31.0MiB allocated
Remove: (abs x)
Compiler: Compiled 80 to 38 computations (52.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample693.0ms (19%)

explain59.0ms (1.6%)

preprocess229.0ms (6.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify314.0ms (8.6%)

localize12.0ms (0.3%)

series2.0ms (0%)

simplify185.0ms (5.1%)

rewrite207.0ms (5.7%)

eval42.0ms (1.1%)

prune3.0ms (0.1%)

simplify204.0ms (5.6%)

localize28.0ms (0.8%)

series1.0ms (0%)

simplify176.0ms (4.8%)

rewrite108.0ms (3%)

eval44.0ms (1.2%)

prune3.0ms (0.1%)

simplify204.0ms (5.6%)

localize13.0ms (0.4%)

series1.0ms (0%)

simplify254.0ms (7%)

rewrite184.0ms (5%)

eval3.0ms (0.1%)

prune37.0ms (1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch9.0ms (0.2%)

simplify121.0ms (3.3%)

derivations484.0ms (13.2%)

preprocess21.0ms (0.6%)

end0.0ms (0%)

Profiling