Metrics for Expression 3, p15

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 17 to 10 computations (41.2% saved)

sample820.0ms (30.8%)

Memory

12.6MiB live, 923.8MiB allocated

Samples

468.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 292.0ms

ival-<=: 121.0ms (41.5% of total)

ival-mult: 111.0ms (38.1% of total)

ival-add: 36.0ms (12.3% of total)

ival-and: 10.0ms (3.4% of total)

exact: 10.0ms (3.4% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain105.0ms (3.9%)

Memory

12.1MiB live, 51.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`
-	-	`(.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

72.0ms

512×

valid

Compiler

Compiled 50 to 16 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (66% of total)

ival-add: 2.0ms (22% of total)

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

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

preprocess50.0ms (1.9%)

Memory

-22.4MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`associate-r`
31×	`distribute-lft-neg-in`
27×	`sub-neg`
21×	`lower-*.f32`
19×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	309	14
4	418	14
5	422	14
0	4	9
0	7	7
1	16	7
2	24	7
3	33	7
4	41	7
5	51	7
6	54	7
0	54	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 4 computations (60% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 4 computations (60% saved)

simplify5.0ms (0.2%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	448	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Rules

21×	`lower-*.f32`
19×	`lower-*.f64`
14×	`lower-fma.f64`
14×	`lower-fma.f32`
9×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	18
0	7	14
1	16	14
2	24	14
3	33	14
4	41	14
5	51	14
6	54	14
0	54	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize14.0ms (0.5%)

Memory

14.4MiB live, 14.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.015625	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
accuracy	0.08203125	(.f64 x (.f64 x x))

Samples

9.0ms

256×

valid

Compiler

Compiled 20 to 6 computations (70% saved)

Precisions

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

ival-mult: 3.0ms (68.9% of total)

ival-add: 1.0ms (23% of total)

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

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

series2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

3 → 36

Calls

Call 1

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

Inputs

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

#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 (pow x 2) (taylor 0 x) (#s(alt (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) (patch (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) (patch (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) (patch (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) (patch (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) (patch (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) (patch (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) (patch (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) (patch (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) (patch (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) (patch (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) (patch (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) (patch (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf 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 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 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

9 calls:

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

simplify261.0ms (9.8%)

Memory

5.2MiB live, 162.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2 802×	`lower-*.f64`
2 802×	`lower-*.f32`
1 775×	`cube-prod`
1 185×	`lower-/.f32`
1 185×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	144
1	30	144
2	64	144
3	103	144
4	286	144
5	1326	144
6	2335	144
7	3183	144
8	3904	144
9	4731	144
10	5074	144
11	5337	144
12	5549	144
13	5769	144
14	5852	144
15	6642	144
16	7744	144
0	8032	135

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.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)
(*.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)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite228.0ms (8.6%)

Memory

-2.1MiB live, 405.2MiB allocated

Rules

5 059×	`lower-fma.f64`
5 059×	`lower-fma.f32`
2 249×	`lower-/.f64`
2 249×	`lower-/.f32`
1 746×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	17
0	7	13
1	30	13
2	199	13
3	1768	13
0	8450	12

Stop Event

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

Counts

3 → 243

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 x x (neg.f64 x)) x) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 x x) x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) x))))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 x x (neg.f64 x)) x) (.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 x x) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)))))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 x x) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (*.f64 x x) x)))))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) x)) x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) x)) x)) (.f64 x x) (pow.f64 x #s(literal 27 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) x)) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) x)) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) x)) (.f64 x x))))))
(.f64 (pow.f64 (/.f64 x (.f64 (fma.f64 x x x) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (fma.f64 x x (neg.f64 x)) x)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 x x) x)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (*.f64 x x) x) x) x)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x (-.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x (-.f64 x (*.f64 x x))))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (-.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) x) (-.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) x)) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) x)) (.f64 x x))))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (fma.f64 x x (neg.f64 x)) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 x x) x) x))) #s(literal -1 binary64)))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval37.0ms (1.4%)

Memory: -15.4MiB live, 102.3MiB allocated
Compiler: Compiled 12 407 to 679 computations (94.5% saved)

prune42.0ms (1.6%)

Memory

5.2MiB live, 128.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	300	4	304
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	301	4	305

Accuracy

100.0%

Counts

305 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (.f64 (.f64 x x) x))
▶	100.0%	(*.f64 (fma.f64 x x x) x)
▶	100.0%	(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))
▶	97.2%	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Compiler

Compiled 29 to 14 computations (51.7% saved)

simplify5.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	320	(fma.f64 x x (.f64 (.f64 x x) x))
cost-diff	0	(fma.f64 x x x)
cost-diff	0	(*.f64 (fma.f64 x x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	128	(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Rules

21×	`lower-*.f32`
17×	`lower-*.f64`
14×	`lower-fma.f32`
12×	`lower-fma.f64`
9×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	60
0	21	52
1	35	52
2	44	52
3	52	52
4	62	52
5	65	52
0	65	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (1.3%)

Memory

-2.1MiB live, 74.8MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x (.f64 (.f64 x x) x))
accuracy	0	(*.f64 x x)
accuracy	0.08203125	(.f64 (.f64 x x) x)
accuracy	0	(fma.f64 x x x)
accuracy	0.02734375	(*.f64 (fma.f64 x x x) x)
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 x x)
accuracy	0.03125	(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	1.8168015710096697	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Samples

22.0ms

256×

valid

Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions

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

ival-mult: 8.0ms (65.9% of total)

ival-add: 4.0ms (33% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
#s(alt #s(approx (+ (* x (* x x)) (* x x)) (.f64 x x)) (patch #s(approx (+ ( x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x x x) x) (patch (.f64 (fma.f64 x x x) x) #<representation binary64>) () ())
#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())
#s(alt (fma.f64 x x (.f64 (.f64 x x) x)) (patch (fma.f64 x x (.f64 (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())

Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (.f64 x x)) (patch #s(approx (+ ( x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (.f64 x x)) (patch #s(approx (+ ( x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (.f64 x x)) (patch #s(approx (+ ( x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (.f64 x x)) (patch #s(approx (+ ( x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (.f64 x x)) (patch #s(approx (+ ( x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (.f64 x x)) (patch #s(approx (+ ( x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (.f64 x x)) (patch #s(approx (+ ( x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (.f64 x x)) (patch #s(approx (+ ( x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (.f64 x x)) (patch #s(approx (+ ( x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (.f64 x x)) (patch #s(approx (+ ( x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (.f64 x x)) (patch #s(approx (+ ( x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (.f64 x x)) (patch #s(approx (+ ( x (* x 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 (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 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 0 x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x x) x) (patch (.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x x) x) (patch (.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x x) x) (patch (.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x x) x) (patch (.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (fma.f64 x x x) x) (patch (.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (.f64 (fma.f64 x x x) x) (patch (.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (.f64 (fma.f64 x x x) x) (patch (.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (.f64 (fma.f64 x x x) x) (patch (.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x x) x) (patch (.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x x) x) (patch (.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x x) x) (patch (.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x x) x) (patch (.f64 (fma.f64 x x 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 (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 (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 0 x) (#s(alt (fma.f64 x x (.f64 (.f64 x x) x)) (patch (fma.f64 x x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 (.f64 x x) x)) (patch (fma.f64 x x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 (.f64 x x) x)) (patch (fma.f64 x x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 (.f64 x x) x)) (patch (fma.f64 x x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (fma.f64 x x (.f64 (.f64 x x) x)) (patch (fma.f64 x x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (.f64 (.f64 x x) x)) (patch (fma.f64 x x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (.f64 (.f64 x x) x)) (patch (fma.f64 x x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (.f64 (.f64 x x) x)) (patch (fma.f64 x x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (fma.f64 x x (.f64 (.f64 x x) x)) (patch (fma.f64 x x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (.f64 (.f64 x x) x)) (patch (fma.f64 x x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (.f64 (.f64 x x) x)) (patch (fma.f64 x x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (.f64 (.f64 x x) x)) (patch (fma.f64 x x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())

Calls

24 calls:

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

simplify188.0ms (7.1%)

Memory

-13.3MiB live, 142.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2 794×	`lower-*.f64`
2 794×	`lower-*.f32`
1 769×	`cube-prod`
1 185×	`lower-/.f32`
1 185×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	442
1	48	442
2	67	442
3	215	442
4	1286	442
5	2278	442
6	3130	442
7	3859	442
8	4653	442
9	4996	442
10	5257	442
11	5469	442
12	5689	442
13	5772	442
14	6561	442
15	7659	442
16	7960	442
0	8052	397

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 93

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
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) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

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

rewrite256.0ms (9.6%)

Memory

6.2MiB live, 294.3MiB allocated

Rules

3 255×	`lower-fma.f32`
3 253×	`lower-fma.f64`
2 101×	`lower-*.f32`
2 097×	`lower-*.f64`
1 225×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
0	21	41
1	73	41
2	462	41
3	4961	41
0	8251	41

Stop Event

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

Counts

8 → 712

Calls

Call 1

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

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

eval136.0ms (5.1%)

Memory: 3.6MiB live, 151.5MiB allocated
Compiler: Compiled 23 995 to 1 002 computations (95.8% saved)

prune70.0ms (2.6%)

Memory

-14.3MiB live, 148.2MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	849	0	849
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	849	4	853

Accuracy

100.0%

Counts

853 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (.f64 (.f64 x x) x))
✓	100.0%	(*.f64 (fma.f64 x x x) x)
✓	100.0%	(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))
✓	97.2%	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Compiler

Compiled 64 to 25 computations (60.9% saved)

regimes4.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

regimes3.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

regimes3.0ms (0.1%)

Memory

-29.6MiB live, 9.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 12 to 5 computations (58.3% saved)

simplify5.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	12	27

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness334.0ms (12.5%)

Memory

-4.6MiB live, 241.7MiB allocated

Rules

5 059×	`lower-fma.f64`
5 059×	`lower-fma.f32`
2 802×	`lower-*.f64`
2 802×	`lower-*.f32`
2 249×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	17
0	7	13
1	30	13
2	199	13
3	1768	13
0	8450	12
0	11	144
1	30	144
2	64	144
3	103	144
4	286	144
5	1326	144
6	2335	144
7	3183	144
8	3904	144
9	4731	144
10	5074	144
11	5337	144
12	5549	144
13	5769	144
14	5852	144
15	6642	144
16	7744	144
0	8032	135

Stop Event

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

Compiler

Compiled 65 to 21 computations (67.7% saved)

preprocess54.0ms (2%)

Memory: -9.5MiB live, 65.9MiB allocated
Compiler: Compiled 74 to 30 computations (59.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	309	14
4	418	14
5	422	14
0	4	9
0	7	7
1	16	7
2	24	7
3	33	7
4	41	7
5	51	7
6	54	7
0	54	6

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	309	14
4	418	14
5	422	14
0	4	9
0	7	7
1	16	7
2	24	7
3	33	7
4	41	7
5	51	7
6	54	7
0	54	6

start0.0ms (0%)

analyze0.0ms (0%)

sample820.0ms (30.8%)

explain105.0ms (3.9%)

preprocess50.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.2%)

localize14.0ms (0.5%)

series2.0ms (0.1%)

simplify261.0ms (9.8%)

rewrite228.0ms (8.6%)

eval37.0ms (1.4%)

prune42.0ms (1.6%)

simplify5.0ms (0.2%)

localize35.0ms (1.3%)

series4.0ms (0.2%)

simplify188.0ms (7.1%)

rewrite256.0ms (9.6%)

eval136.0ms (5.1%)

prune70.0ms (2.6%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

simplify5.0ms (0.2%)

soundness334.0ms (12.5%)

preprocess54.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	309	14
4	418	14
5	422	14
0	4	9
0	7	7
1	16	7
2	24	7
3	33	7
4	41	7
5	51	7
6	54	7
0	54	6