Metrics for Expression 2, p15

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample771.0ms (39.1%)

Memory

10.2MiB live, 518.6MiB allocated

Samples

449.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-mult: 86.0ms (44.1% of total)

ival-add: 46.0ms (23.6% of total)

ival-<=: 41.0ms (21% of total)

ival-and: 10.0ms (5.1% of total)

exact: 10.0ms (5.1% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain50.0ms (2.5%)

Memory

7.6MiB live, 72.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x (*.f64 x x))`
-	-	`(*.f64 x x)`
-	-	`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 27 to 13 computations (51.9% saved)

Precisions

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

ival-mult: 9.0ms (75.6% of total)

ival-add: 2.0ms (16.8% of total)

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

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

preprocess26.0ms (1.3%)

Memory

-24.3MiB live, 37.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	23	12
2	61	10
3	88	10
4	138	10
5	211	10
6	266	10
7	334	10
8	349	10
0	3	5
0	5	5
1	15	5
2	39	5
3	73	5
4	109	5
5	161	5
6	228	5
7	308	5
8	308	5
0	308	4

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 x x))

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

Compiler

Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (*.f64 x x))

Compiler

Compiled 5 to 3 computations (40% saved)

simplify8.0ms (0.4%)

Memory

10.3MiB live, 10.3MiB 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 x (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	9
0	5	9
1	15	9
2	39	9
3	73	9
4	109	9
5	161	9
6	228	9
7	308	9
8	308	9
0	308	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 x (*.f64 x x))
x
(*.f64 x x)

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

localize11.0ms (0.5%)

Memory

15.1MiB live, 15.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x (*.f64 x x))
accuracy	0.0	(*.f64 x x)

Samples

7.0ms

256×

valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (65.3% of total)

ival-add: 1.0ms (32.7% of total)

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

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

series1.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

2 → 4

Calls

Call 1

Inputs
(+.f64 x (*.f64 x x))
(*.f64 x x)

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

Calls

3 calls:

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

simplify90.0ms (4.6%)

Memory

-32.7MiB live, 68.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	27	14
2	60	14
3	203	14
4	1574	14
5	4232	14
6	6605	14
0	8134	12

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 3

Calls

Call 1

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

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

rewrite136.0ms (6.9%)

Memory

3.0MiB live, 157.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	8
0	5	8
1	29	8
2	219	8
3	2348	8
0	8393	7

Stop Event

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

Counts

2 → 197

Calls

Call 1

Inputs
(+.f64 x (*.f64 x x))
(*.f64 x x)

Outputs
(*.f64 (+.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) x) (-.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x x) x))
(*.f64 (/.f64 (fma.f64 x x x) x) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(*.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 x x x) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x x) (fma.f64 x x x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (fma.f64 x x x))) #s(literal 2 binary64))) (fma.f64 x x x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 x x x))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 x x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (*.f64 x (/.f64 x (fma.f64 x x x)))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 x x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) #s(literal 2 binary64)) (.f64 (*.f64 x (/.f64 x (fma.f64 x x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x))))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))) x)
(/.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 x x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) #s(literal 2 binary64)) (.f64 (*.f64 x (/.f64 x (fma.f64 x x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (pow.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 x x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) #s(literal 2 binary64)) (.f64 (*.f64 x (/.f64 x (fma.f64 x x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 x x x))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 x x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 x x x))
(neg.f64 (fma.f64 x x x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 x x))
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eval17.0ms (0.9%)

Memory: 24.8MiB live, 24.8MiB allocated
Compiler: Compiled 5 496 to 466 computations (91.5% saved)

prune13.0ms (0.7%)

Memory

-21.5MiB live, 12.8MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	198	1	199
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	199	1	200

Accuracy

100.0%

Counts

200 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x x)

Compiler

Compiled 4 to 2 computations (50% saved)

simplify8.0ms (0.4%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 x x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	5
0	4	5
1	12	5
2	35	5
3	68	5
4	108	5
5	160	5
6	227	5
7	309	5
8	319	5
0	319	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 x x x)
x

Outputs
(fma.f64 x x x)
x

localize10.0ms (0.5%)

Memory

9.9MiB live, 9.9MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(fma.f64 x x x)

Samples

7.0ms

256×

valid

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (67.9% of total)

ival-add: 1.0ms (34% of total)

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

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

series1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

1 → 4

Calls

Call 1

Inputs
(fma.f64 x x x)

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

Calls

3 calls:

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

simplify77.0ms (3.9%)

Memory

-12.4MiB live, 47.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	27	14
2	60	14
3	203	14
4	1574	14
5	4232	14
6	6605	14
0	8134	12

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 3

Calls

Call 1

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

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

rewrite115.0ms (5.8%)

Memory

2.5MiB live, 92.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	4
0	4	4
1	26	4
2	203	4
3	2586	4
0	8643	4

Stop Event

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

Counts

1 → 178

Calls

Call 1

Inputs
(fma.f64 x x x)

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

eval15.0ms (0.8%)

Memory: 22.1MiB live, 22.1MiB allocated
Compiler: Compiled 6 002 to 444 computations (92.6% saved)

prune4.0ms (0.2%)

Memory

-22.6MiB live, 8.3MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	179	2	181

Accuracy

100.0%

Counts

181 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x x)
▶	6.9%	#s(approx (+ (* x x) x) (*.f64 x x))

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify8.0ms (0.4%)

Memory

5.8MiB live, 5.8MiB 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) x) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	6	13
1	14	13
2	37	13
3	70	13
4	110	13
5	162	13
6	229	13
7	311	13
8	318	13
0	318	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize10.0ms (0.5%)

Memory

10.4MiB live, 10.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x x)
accuracy	59.60251786649711	#s(approx (+ (* x x) x) (*.f64 x x))

Samples

7.0ms

256×

valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (68% of total)

ival-add: 1.0ms (34% of total)

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

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

series1.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated

Counts

2 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

simplify128.0ms (6.5%)

Memory

-15.5MiB live, 58.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	27	14
2	60	14
3	203	14
4	1574	14
5	4232	14
6	6605	14
0	8134	12

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 3

Calls

Call 1

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

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

rewrite105.0ms (5.3%)

Memory

14.4MiB live, 75.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	6	12
1	28	12
2	205	12
3	2588	12
0	8655	11

Stop Event

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

Counts

2 → 21

Calls

Call 1

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

Outputs
#s(approx (+ (* x x) x) (*.f64 x x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 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))))

eval2.0ms (0.1%)

Memory: 3.2MiB live, 3.2MiB allocated
Compiler: Compiled 340 to 78 computations (77.1% saved)

prune2.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	23	2	25

Accuracy

100.0%

Counts

25 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x x)
✓	6.9%	#s(approx (+ (* x x) x) (*.f64 x x))

Compiler

Compiled 31 to 14 computations (54.8% saved)

regimes4.0ms (0.2%)

Memory

-25.6MiB live, 5.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x x) x) (*.f64 x x))
(fma.f64 x x x)
(+.f64 x (*.f64 x x))

Outputs
(fma.f64 x x x)

Calls

2 calls:

2.0ms	x
1.0ms	(+.f64 x (*.f64 x x))

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 x (*.f64 x x))`
100.0%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	(+.f64 x (*.f64 x x))
1.0ms	x

Results

Accuracy	Segments	Branch
6.9%	1	`(+.f64 x (*.f64 x x))`
6.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify27.0ms (1.4%)

Memory

22.3MiB live, 22.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	14	13
2	37	13
3	73	13
4	130	13
5	425	13
6	2493	13

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 x x x)
#s(approx (+ (* x x) x) (*.f64 x x))

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

soundness307.0ms (15.6%)

Memory

-11.6MiB live, 74.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	8
0	5	8
1	29	8
2	219	8
3	2348	8
0	8393	7
0	9	14
1	27	14
2	60	14
3	203	14
4	1574	14
5	4232	14
6	6605	14
0	8134	12

Stop Event

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

Compiler

Compiled 34 to 16 computations (52.9% saved)

preprocess20.0ms (1%)

Memory: 24.9MiB live, 24.8MiB allocated
Compiler: Compiled 46 to 26 computations (43.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	13
1	23	12
2	61	10
3	88	10
4	138	10
5	211	10
6	266	10
7	334	10
8	349	10
0	3	5
0	5	5
1	15	5
2	39	5
3	73	5
4	109	5
5	161	5
6	228	5
7	308	5
8	308	5
0	308	4

Iter	Nodes	Cost
0	5	13
1	23	12
2	61	10
3	88	10
4	138	10
5	211	10
6	266	10
7	334	10
8	349	10
0	3	5
0	5	5
1	15	5
2	39	5
3	73	5
4	109	5
5	161	5
6	228	5
7	308	5
8	308	5
0	308	4

start0.0ms (0%)

analyze0.0ms (0%)

sample771.0ms (39.1%)

explain50.0ms (2.5%)

preprocess26.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.4%)

localize11.0ms (0.5%)

series1.0ms (0.1%)

simplify90.0ms (4.6%)

rewrite136.0ms (6.9%)

eval17.0ms (0.9%)

prune13.0ms (0.7%)

simplify8.0ms (0.4%)

localize10.0ms (0.5%)

series1.0ms (0%)

simplify77.0ms (3.9%)

rewrite115.0ms (5.8%)

eval15.0ms (0.8%)

prune4.0ms (0.2%)

simplify8.0ms (0.4%)

localize10.0ms (0.5%)

series1.0ms (0.1%)

simplify128.0ms (6.5%)

rewrite105.0ms (5.3%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

regimes4.0ms (0.2%)

regimes2.0ms (0.1%)

simplify27.0ms (1.4%)

soundness307.0ms (15.6%)

preprocess20.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	13
1	23	12
2	61	10
3	88	10
4	138	10
5	211	10
6	266	10
7	334	10
8	349	10
0	3	5
0	5	5
1	15	5
2	39	5
3	73	5
4	109	5
5	161	5
6	228	5
7	308	5
8	308	5
0	308	4