Metrics for Expression 2, p15

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample972.0ms (33%)

Memory

8.1MiB live, 1 029.4MiB allocated

Samples

565.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 397.0ms

ival-mult: 165.0ms (41.5% of total)

ival-add: 109.0ms (27.4% of total)

ival-<=: 101.0ms (25.4% of total)

ival-and: 10.0ms (2.5% of total)

exact: 9.0ms (2.3% of total)

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

Bogosity

explain56.0ms (1.9%)

Memory

18.2MiB live, 54.8MiB 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

15.0ms

512×

valid

Compiler

Compiled 27 to 13 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (62.1% of total)

ival-add: 2.0ms (31.1% of total)

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

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

preprocess101.0ms (3.4%)

Memory

-10.4MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`sub-neg`
36×	`distribute-lft-neg-in`
30×	`unsub-neg`
28×	`associate-r`
28×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	23	10
2	75	10
3	217	10
4	266	10
5	269	10
0	3	5
0	5	5
1	9	5
2	13	5
3	19	5
4	19	5
5	27	5
6	27	5
0	27	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

0.9MiB live, 0.9MiB 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)

simplify4.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 x (*.f64 x x))

Rules

22×	`lower-*.f32`
20×	`lower-*.f64`
14×	`lower-fma.f64`
14×	`lower-fma.f32`
8×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	9
0	5	9
1	9	9
2	13	9
3	19	9
4	19	9
5	27	9
6	27	9
0	27	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 (0.4%)

Memory

15.0MiB live, 15.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 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 (64.3% of total)

ival-add: 1.0ms (32.1% of total)

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

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

series2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#s(alt (+.f64 x (.f64 x x)) (patch (+.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (+.f64 x (.f64 x x)) (patch (+.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (+.f64 x (.f64 x x)) (patch (+.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (+.f64 x (.f64 x x)) (patch (+.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (+.f64 x (.f64 x x)) (patch (+.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 x (.f64 x x)) (patch (+.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x (.f64 x x)) (patch (+.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x (.f64 x x)) (patch (+.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x (.f64 x x)) (patch (+.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 x (.f64 x x)) (patch (+.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x (.f64 x x)) (patch (+.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x (.f64 x x)) (patch (+.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x (.f64 x x)) (patch (+.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

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))

simplify391.0ms (13.3%)

Memory

1.7MiB live, 124.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 840×	`lower-*.f64`
5 840×	`lower-*.f32`
2 934×	`lower-/.f32`
2 934×	`lower-/.f64`
2 558×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	88
1	26	88
2	41	88
3	77	88
4	145	88
5	1089	88
6	2295	88
7	2906	88
8	3615	88
9	4538	88
10	4880	88
11	5090	88
12	5283	88
13	5479	88
14	5814	88
15	7029	88
16	7422	88
17	7525	88
18	7538	88
19	7541	88
20	7541	88
21	7675	88
22	7860	88
0	8012	79

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

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

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

rewrite380.0ms (12.9%)

Memory

-42.2MiB live, 251.3MiB allocated

Rules

15 970×	`lower-fma.f64`
15 970×	`lower-fma.f32`
4 318×	`lower-/.f64`
4 318×	`lower-/.f32`
3 558×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	8
0	5	8
1	23	8
2	156	8
3	1413	8
0	8309	7

Stop Event

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

Counts

2 → 226

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 x x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 x (.f64 x x))) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) (-.f64 x (.f64 x x))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) (fma.f64 x (-.f64 x (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x (-.f64 x (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 x (/.f64 x (-.f64 x (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x (.f64 x x)))) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (-.f64 x (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x (.f64 x x))))))
(.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 x x)) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 x (.f64 x x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x (.f64 x x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x (.f64 x x))))))))
(.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x x) x))))
(.f64 (fma.f64 (.f64 x x) (-.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal -1 binary64) x (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 x x)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 x (*.f64 x x)))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x (*.f64 x x)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (*.f64 x x)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x (*.f64 x x)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x (*.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))))))
(.f64 (pow.f64 (-.f64 x (.f64 x x)) #s(literal -1 binary64)) (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 (fma.f64 x (-.f64 x (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x (-.f64 x (*.f64 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 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 9 binary64))))))
(.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 x x))))
(.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
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(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 x x) x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x)))
(-.f64 x (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 x x) x))))
(+.f64 (.f64 x (/.f64 x (-.f64 x (.f64 x x)))) (.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)) (.f64 x x))))
(+.f64 (.f64 x (/.f64 x (-.f64 x (.f64 x x)))) (.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 x x x)))
(+.f64 (.f64 x (/.f64 x (-.f64 x (.f64 x x)))) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 x (.f64 x x)) #s(literal -1 binary64))))
(+.f64 (.f64 x (/.f64 x (-.f64 x (.f64 x x)))) (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 x (-.f64 x (.f64 x x)))))
(+.f64 (.f64 x (/.f64 x (-.f64 x (.f64 x x)))) (.f64 (.f64 (neg.f64 x) x) (.f64 x (/.f64 x (-.f64 x (.f64 x x))))))
(+.f64 (.f64 x (/.f64 x (-.f64 x (.f64 x x)))) (.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 x x)))))
(+.f64 (.f64 x (/.f64 x (-.f64 x (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x (*.f64 x x)))))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 x (*.f64 (neg.f64 x) (neg.f64 x)))
(+.f64 x (*.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) 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 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(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)))

eval45.0ms (1.5%)

Memory: 32.7MiB live, 71.1MiB allocated
Compiler: Compiled 5 596 to 541 computations (90.3% saved)

prune29.0ms (1%)

Memory

-17.6MiB live, 20.6MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	247	2	249
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	248	2	250

Accuracy

100.0%

Counts

250 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x x)
▶	7.0%	#s(approx (+ x (* x x)) (*.f64 x x))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

22×	`lower-*.f32`
20×	`lower-*.f64`
14×	`lower-fma.f32`
12×	`lower-fma.f64`
8×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	8	17
1	11	17
2	15	17
3	21	17
4	21	17
5	29	17
6	29	17
0	29	17

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
(fma.f64 x x x)
x

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

localize39.0ms (1.3%)

Memory

-15.3MiB live, 28.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x x)
accuracy	0	(*.f64 x x)
accuracy	59.49358342422293	#s(approx (+ x (* x x)) (*.f64 x x))

Samples

35.0ms

256×

valid

Compiler

Compiled 17 to 6 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-add: 28.0ms (93.3% of total)

ival-mult: 2.0ms (6.7% of total)

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

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

series2.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs

#s(alt #s(approx (+ x (* x x)) (*.f64 x x)) (patch #s(approx (+ x (* x x)) (*.f64 x x)) #<representation binary64>) () ())

#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())

#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (+ x (* x x)) (.f64 x x)) (patch #s(approx (+ x ( x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ x (* x x)) (.f64 x x)) (patch #s(approx (+ x ( x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ x (* x x)) (.f64 x x)) (patch #s(approx (+ x ( x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ x (* x x)) (.f64 x x)) (patch #s(approx (+ x ( x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ x (* x x)) (.f64 x x)) (patch #s(approx (+ x ( x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ x (* x x)) (.f64 x x)) (patch #s(approx (+ x ( x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ x (* x x)) (.f64 x x)) (patch #s(approx (+ x ( x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ x (* x x)) (.f64 x x)) (patch #s(approx (+ x ( x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ x (* x x)) (.f64 x x)) (patch #s(approx (+ x ( x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ x (* x x)) (.f64 x x)) (patch #s(approx (+ x ( x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ x (* x x)) (.f64 x x)) (patch #s(approx (+ x ( x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ x (* x x)) (.f64 x x)) (patch #s(approx (+ x ( x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())

Calls

3 calls:

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

simplify228.0ms (7.8%)

Memory

27.7MiB live, 141.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 840×	`lower-*.f64`
5 840×	`lower-*.f32`
2 934×	`lower-/.f32`
2 934×	`lower-/.f64`
2 558×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	140
1	26	140
2	41	140
3	77	140
4	145	140
5	1089	140
6	2295	140
7	2906	140
8	3615	140
9	4538	140
10	4880	140
11	5090	140
12	5283	140
13	5479	140
14	5814	140
15	7029	140
16	7422	140
17	7525	140
18	7538	140
19	7541	140
20	7541	140
21	7675	140
22	7860	140
0	8012	122

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

Calls

Call 1

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

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

rewrite180.0ms (6.1%)

Memory

-38.2MiB live, 243.1MiB allocated

Rules

8 738×	`lower-fma.f32`
8 736×	`lower-fma.f64`
4 292×	`lower-/.f64`
4 292×	`lower-/.f32`
3 280×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	8	15
1	33	15
2	231	15
3	2482	15
0	8440	15

Stop Event

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

Counts

3 → 209

Calls

Call 1

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

Outputs
#s(approx (+ x (* x x)) (*.f64 x x))
(*.f64 (neg.f64 x) (neg.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 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.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 (pow.f64 (/.f64 (-.f64 x (.f64 x x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 x (.f64 x x)) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 x (.f64 x x)) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 x (.f64 x x)) x (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 x (.f64 x x)) x (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (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 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (-.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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 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))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (-.f64 x (*.f64 x x)) x) #s(literal 2 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x (.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 x x)) x) (-.f64 (.f64 (-.f64 x (*.f64 x x)) x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
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(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) x)) (pow.f64 (-.f64 (.f64 x x) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (.f64 x x) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (-.f64 (.f64 x x) x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x x) x) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x (.f64 x x)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (-.f64 x (.f64 x x)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 x (.f64 x x)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (-.f64 x (.f64 x x)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 x (.f64 x x)) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (fma.f64 (-.f64 x (.f64 x x)) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (-.f64 (.f64 x x) x) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (.f64 x x) x) (fma.f64 (fma.f64 x x #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 12 binary64)) (.f64 (fma.f64 (-.f64 x (.f64 x x)) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 x (.f64 x x)) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 x (.f64 x x)) x (pow.f64 x #s(literal 4 binary64))))) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (-.f64 x (.f64 x x)) x (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (-.f64 x (.f64 x x))) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (-.f64 x (.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x (.f64 x x))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x (.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)))) (-.f64 (.f64 x x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)))) (-.f64 (.f64 x x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 x x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 x x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 x (.f64 x x)) x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 x (.f64 x x)) x (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x (.f64 x x)) x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x (.f64 x x)) x (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (.f64 x x) x))) (/.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (neg.f64 (-.f64 (*.f64 x x) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x (.f64 x x)))) (/.f64 (.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 x (*.f64 x x)))))
(-.f64 (.f64 x (/.f64 x (-.f64 x (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) x)) (.f64 x (/.f64 x (-.f64 (*.f64 x x) x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (-.f64 x (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 x x) x)))))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 x x))

eval28.0ms (0.9%)

Memory: 27.7MiB live, 65.2MiB allocated
Compiler: Compiled 5 618 to 644 computations (88.5% saved)

prune10.0ms (0.4%)

Memory

-17.1MiB live, 27.3MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	243	2	245

Accuracy

100.0%

Counts

245 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x x)
✓	7.0%	#s(approx (+ x (* x x)) (*.f64 x x))

Compiler

Compiled 21 to 10 computations (52.4% saved)

regimes4.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB 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	(+.f64 x (*.f64 x x))
2.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB 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
7.0%	1	`x`
7.0%	1	`(+.f64 x (*.f64 x x))`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify24.0ms (0.8%)

Memory

-22.5MiB live, 54.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13

Stop Event

1×

saturated

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))

soundness373.0ms (12.7%)

Memory

1.1MiB live, 192.4MiB allocated

Rules

15 970×	`lower-fma.f64`
15 970×	`lower-fma.f32`
5 840×	`lower-*.f64`
5 840×	`lower-*.f32`
4 318×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	88
1	26	88
2	41	88
3	77	88
4	145	88
5	1089	88
6	2295	88
7	2906	88
8	3615	88
9	4538	88
10	4880	88
11	5090	88
12	5283	88
13	5479	88
14	5814	88
15	7029	88
16	7422	88
17	7525	88
18	7538	88
19	7541	88
20	7541	88
21	7675	88
22	7860	88
0	8012	79
0	3	8
0	5	8
1	23	8
2	156	8
3	1413	8
0	8309	7

Stop Event

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

Compiler

Compiled 20 to 10 computations (50% saved)

preprocess57.0ms (1.9%)

Memory: 6.1MiB live, 83.7MiB allocated
Compiler: Compiled 36 to 22 computations (38.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	13
1	23	10
2	75	10
3	217	10
4	266	10
5	269	10
0	3	5
0	5	5
1	9	5
2	13	5
3	19	5
4	19	5
5	27	5
6	27	5
0	27	4

Iter	Nodes	Cost
0	5	13
1	23	10
2	75	10
3	217	10
4	266	10
5	269	10
0	3	5
0	5	5
1	9	5
2	13	5
3	19	5
4	19	5
5	27	5
6	27	5
0	27	4

start0.0ms (0%)

analyze0.0ms (0%)

sample972.0ms (33%)

explain56.0ms (1.9%)

preprocess101.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize11.0ms (0.4%)

series2.0ms (0.1%)

simplify391.0ms (13.3%)

rewrite380.0ms (12.9%)

eval45.0ms (1.5%)

prune29.0ms (1%)

simplify4.0ms (0.1%)

localize39.0ms (1.3%)

series2.0ms (0.1%)

simplify228.0ms (7.8%)

rewrite180.0ms (6.1%)

eval28.0ms (0.9%)

prune10.0ms (0.4%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify24.0ms (0.8%)

soundness373.0ms (12.7%)

preprocess57.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	13
1	23	10
2	75	10
3	217	10
4	266	10
5	269	10
0	3	5
0	5	5
1	9	5
2	13	5
3	19	5
4	19	5
5	27	5
6	27	5
0	27	4