Metrics for Expression 3, 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 17 to 10 computations (41.2% saved)

sample892.0ms (16.8%)

Memory

33.9MiB live, 990.7MiB allocated

Samples

584.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 424.0ms

ival-mult: 236.0ms (55.6% of total)

ival-<=: 126.0ms (29.7% of total)

ival-add: 38.0ms (9% of total)

ival-and: 11.0ms (2.6% of total)

exact: 10.0ms (2.4% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain100.0ms (1.9%)

Memory

-28.4MiB live, 129.2MiB 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

27.0ms

512×

valid

Compiler

Compiled 67 to 20 computations (70.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 10.0ms (57.6% of total)

ival-mult: 7.0ms (40.3% of total)

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

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

preprocess19.0ms (0.4%)

Memory

12.1MiB live, 50.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	317	14
4	438	14
5	442	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))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))

Compiler

Compiled 9 to 4 computations (55.6% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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 9 to 4 computations (55.6% saved)

simplify4.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	-5824	(.f64 x (.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

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))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(.f64 x (.f64 x x))
(pow.f64 x #s(literal 3 binary64))
x
(*.f64 x x)

localize29.0ms (0.6%)

Memory

-7.4MiB live, 31.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
accuracy	0.05078125	(.f64 x (.f64 x x))

Samples

25.0ms

256×

valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

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

ival-mult: 3.0ms (54.3% of total)

ival-add: 2.0ms (36.2% of total)

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

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

series3.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB 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 x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.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 x) (patch (*.f64 x x) #<representation binary64>) () ())

#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.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 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 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 (.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 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 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 (.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 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 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>) () ())) ())

Calls

3 calls:

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

simplify169.0ms (3.2%)

Memory

0.2MiB live, 125.8MiB allocated

Algorithm

1×	egg-herbie

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	1327	144
6	2336	144
7	3178	144
8	3901	144
9	4727	144
10	5070	144
11	5335	144
12	5547	144
13	5767	144
14	5850	144
15	6640	144
16	7717	144
0	8019	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 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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 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 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (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 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (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 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))

rewrite364.0ms (6.9%)

Memory

-14.2MiB live, 258.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	17
0	7	13
1	30	13
2	199	13
3	1780	13
0	8479	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 x)
(.f64 x (.f64 x x))

Outputs
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eval30.0ms (0.6%)

Memory: 27.9MiB live, 63.5MiB allocated
Compiler: Compiled 6 488 to 692 computations (89.3% saved)

prune22.0ms (0.4%)

Memory

-17.0MiB live, 20.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	299	5	304
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	300	5	305

Accuracy

100.0%

Counts

305 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 x x) x (.f64 x x))
▶	100.0%	(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64)))
▶	100.0%	(*.f64 (fma.f64 x x x) x)
▶	99.9%	(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))
▶	97.0%	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Compiler

Compiled 74 to 44 computations (40.5% saved)

simplify292.0ms (5.5%)

Memory

17.8MiB live, 297.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	7168	(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	320	(fma.f64 (.f64 x x) x (.f64 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))
cost-diff	0	(fma.f64 x x x)
cost-diff	0	(*.f64 (fma.f64 x x x) x)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	88
0	29	76
1	52	76
2	91	76
3	217	75
4	646	75
5	3120	75
6	7310	75
0	8292	75

Stop Event

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

Calls

Call 1

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

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

localize201.0ms (3.8%)

Memory

-31.4MiB live, 58.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x))
accuracy	0.015625	(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 (.f64 x x) x (.f64 x x))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 x x)
accuracy	0.04296875	(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	1.930370685833345	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
accuracy	0	(fma.f64 x x x)
accuracy	0.01171875	(*.f64 (fma.f64 x x x) x)

Samples

28.0ms

256×

valid

Compiler

Compiled 171 to 32 computations (81.3% saved)

Precisions

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

ival-mult: 9.0ms (49.9% of total)

ival-add: 5.0ms (27.7% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#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 #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 (fma.f64 (.f64 x x) x (.f64 x x)) (patch (fma.f64 (.f64 x x) x (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) #<representation binary64>) () ())

Outputs
#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 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 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 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 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 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 (pow x 2) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) x (.f64 x x)) (patch (fma.f64 (.f64 x x) x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) x (.f64 x x)) (patch (fma.f64 (.f64 x x) x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) x (.f64 x x)) (patch (fma.f64 (.f64 x x) x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) x (.f64 x x)) (patch (fma.f64 (.f64 x x) x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (pow x 2) 1)) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (pow x 2) 1)) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (pow x 2) 1)) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 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 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 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 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 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 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 3) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) x (.f64 x x)) (patch (fma.f64 (.f64 x x) x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) x (.f64 x x)) (patch (fma.f64 (.f64 x x) x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) x (.f64 x x)) (patch (fma.f64 (.f64 x x) x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) x (.f64 x x)) (patch (fma.f64 (.f64 x x) x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 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 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 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 -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 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 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 3) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) x (.f64 x x)) (patch (fma.f64 (.f64 x x) x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) x (.f64 x x)) (patch (fma.f64 (.f64 x x) x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) x (.f64 x x)) (patch (fma.f64 (.f64 x x) x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) x (.f64 x x)) (patch (fma.f64 (.f64 x x) x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((* (+ (* x x) x) x) (+ (* x x) x) (+ (* x (* x x)) (* x x)) (* x x) (* (+ 1 x) (* x x)) (+ 1 x) (+ (* (* x x) x) (* x x)) (/ (* (+ (* x x) -1) (* x x)) (- x 1)) (+ (* x x) -1) (- x 1) (* (+ (* x x) -1) (* x x)))
2.0ms	x	@	inf	((* (+ (* x x) x) x) (+ (* x x) x) (+ (* x (* x x)) (* x x)) (* x x) (* (+ 1 x) (* x x)) (+ 1 x) (+ (* (* x x) x) (* x x)) (/ (* (+ (* x x) -1) (* x x)) (- x 1)) (+ (* x x) -1) (- x 1) (* (+ (* x x) -1) (* x x)))
1.0ms	x	@	0	((* (+ (* x x) x) x) (+ (* x x) x) (+ (* x (* x x)) (* x x)) (* x x) (* (+ 1 x) (* x x)) (+ 1 x) (+ (* (* x x) x) (* x x)) (/ (* (+ (* x x) -1) (* x x)) (- x 1)) (+ (* x x) -1) (- x 1) (* (+ (* x x) -1) (* x x)))

Time

Variable

Point

Expression

2.0ms

-inf

((* (+ (* x x) x) x) (+ (* x x) x) (+ (* x (* x x)) (* x x)) (* x x) (* (+ 1 x) (* x x)) (+ 1 x) (+ (* (* x x) x) (* x x)) (/ (* (+ (* x x) -1) (* x x)) (- x 1)) (+ (* x x) -1) (- x 1) (* (+ (* x x) -1) (* x x)))

2.0ms

inf

((* (+ (* x x) x) x) (+ (* x x) x) (+ (* x (* x x)) (* x x)) (* x x) (* (+ 1 x) (* x x)) (+ 1 x) (+ (* (* x x) x) (* x x)) (/ (* (+ (* x x) -1) (* x x)) (- x 1)) (+ (* x x) -1) (- x 1) (* (+ (* x x) -1) (* x x)))

1.0ms

((* (+ (* x x) x) x) (+ (* x x) x) (+ (* x (* x x)) (* x x)) (* x x) (* (+ 1 x) (* x x)) (+ 1 x) (+ (* (* x x) x) (* x x)) (/ (* (+ (* x x) -1) (* x x)) (- x 1)) (+ (* x x) -1) (- x 1) (* (+ (* x x) -1) (* x x)))

simplify131.0ms (2.5%)

Memory

11.7MiB live, 170.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	651
1	83	651
2	164	633
3	617	633
4	2399	633
5	6328	633
0	8294	570

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 127

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(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))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
-1
(- x 1)
(- x 1)
(- x 1)
(* -1 (pow x 2))
(* (pow x 2) (- (pow x 2) 1))
(* (pow x 2) (- (pow x 2) 1))
(* (pow x 2) (- (pow x 2) 1))
(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) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 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 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 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) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 2))))
(* (pow x 4) (- 1 (/ 1 (pow x 2))))
(* (pow x 4) (- 1 (/ 1 (pow x 2))))
(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) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 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 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 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) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 2))))
(* (pow x 4) (- 1 (/ 1 (pow x 2))))
(* (pow x 4) (- 1 (/ 1 (pow x 2))))

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

rewrite463.0ms (8.7%)

Memory

-18.0MiB live, 340.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	71
0	29	59
1	107	59
2	728	58
0	8899	58

Stop Event

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

Counts

11 → 2 211

Calls

Call 1

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

Outputs
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eval616.0ms (11.6%)

Memory: 54.1MiB live, 577.5MiB allocated
Compiler: Compiled 49 776 to 3 339 computations (93.3% saved)

prune52.0ms (1%)

Memory

-24.9MiB live, 131.2MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	2 441	1	2 442
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	2 442	5	2 447

Accuracy

100.0%

Counts

2 447 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 x x) x (.f64 x x))
▶	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
✓	100.0%	(*.f64 (fma.f64 x x x) x)
✓	99.9%	(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))
✓	97.0%	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify8.0ms (0.2%)

Memory

-31.0MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x x x))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	20
0	9	20
1	16	18
2	30	18
3	51	18
4	73	18
5	115	18
6	145	18
7	155	18
8	173	18
9	180	18
0	180	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
x
(/.f64 #s(literal 1 binary64) (fma.f64 x x x))
#s(literal 1 binary64)
(fma.f64 x x x)

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

localize17.0ms (0.3%)

Memory

25.6MiB live, 25.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x x)
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (fma.f64 x x x))
accuracy	0.109375	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))

Samples

12.0ms

256×

valid

Compiler

Compiled 45 to 13 computations (71.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (44% of total)

ival-mult: 2.0ms (29.4% of total)

ival-add: 1.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs

#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) #<representation binary64>) () ())

#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #<representation binary64>) () ())

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

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

Calls

3 calls:

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

simplify158.0ms (3%)

Memory

-19.9MiB live, 212.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	256
1	118	250
2	253	246
3	616	240
4	1842	226
5	5938	224
0	8154	206

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

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

rewrite127.0ms (2.4%)

Memory

14.1MiB live, 164.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	18
0	9	18
1	45	16
2	279	16
3	2756	16
0	8351	16

Stop Event

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

Counts

3 → 593

Calls

Call 1

Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 x x x)

Outputs
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eval83.0ms (1.6%)

Memory: -5.4MiB live, 123.7MiB allocated
Compiler: Compiled 12 499 to 1 924 computations (84.6% saved)

prune11.0ms (0.2%)

Memory

-4.8MiB live, 33.5MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	627	1	628
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	628	5	633

Accuracy

100.0%

Counts

633 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 x x) x (.f64 x x))
▶	100.0%	(fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (neg.f64 x)))
✓	100.0%	(*.f64 (fma.f64 x x x) x)
✓	99.9%	(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))
✓	97.0%	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Compiler

Compiled 35 to 19 computations (45.7% saved)

simplify11.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	-5568	(.f64 (.f64 (neg.f64 x) x) (neg.f64 x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	6144	(fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (neg.f64 x)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	24
0	10	24
1	21	24
2	44	19
3	117	16
4	261	16
5	402	16
6	467	16
0	467	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (neg.f64 x)))
x
(.f64 (.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)

Outputs
(fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (neg.f64 x)))
(*.f64 (fma.f64 x x x) x)
x
(.f64 (.f64 (neg.f64 x) x) (neg.f64 x))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (neg.f64 x) x)
(neg.f64 x)

localize22.0ms (0.4%)

Memory

-5.0MiB live, 32.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 x) x)
accuracy	0	(neg.f64 x)
accuracy	0.00390625	(fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (neg.f64 x)))
accuracy	0.05078125	(.f64 (.f64 (neg.f64 x) x) (neg.f64 x))

Samples

17.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (54.6% of total)

ival-add: 3.0ms (27.3% of total)

ival-neg: 1.0ms (9.1% of total)

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

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

series4.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((+ (* x x) (* (* (neg x) x) (neg x))) (* (neg x) x) (neg x) (* (* (neg x) x) (neg x)))

1.0ms

inf

((+ (* x x) (* (* (neg x) x) (neg x))) (* (neg x) x) (neg x) (* (* (neg x) x) (neg x)))

1.0ms

((+ (* x x) (* (* (neg x) x) (neg x))) (* (neg x) x) (neg x) (* (* (neg x) x) (neg x)))

simplify162.0ms (3%)

Memory

-6.0MiB live, 141.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	180
1	37	180
2	75	180
3	123	180
4	358	180
5	1985	180
6	2987	180
7	4723	180
8	7617	180
0	8585	171

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite128.0ms (2.4%)

Memory

10.4MiB live, 131.0MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	23
0	10	23
1	36	23
2	231	15
3	2297	13
0	9524	13

Stop Event

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

Counts

4 → 411

Calls

Call 1

Inputs
(fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (neg.f64 x)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(.f64 (.f64 (neg.f64 x) x) (neg.f64 x))

Outputs
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eval55.0ms (1%)

Memory: 17.6MiB live, 89.7MiB allocated
Compiler: Compiled 10 373 to 1 313 computations (87.3% saved)

prune13.0ms (0.2%)

Memory

-20.4MiB live, 30.2MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	514	1	515
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	516	4	520

Accuracy

100.0%

Counts

520 → 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)
✓	99.9%	(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))
✓	97.0%	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Compiler

Compiled 97 to 39 computations (59.8% saved)

regimes6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

9 → 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))
(fma.f64 (.f64 x x) x (.f64 x x))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64)))

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

Calls

2 calls:

3.0ms	x
3.0ms	(+.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 10 to 5 computations (50% saved)

regimes3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB 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
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 10 to 5 computations (50% saved)

regimes4.0ms (0.1%)

Memory

-33.9MiB live, 5.2MiB 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
97.0%	1	`x`
97.0%	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 10 to 5 computations (50% saved)

simplify123.0ms (2.3%)

Memory

22.3MiB live, 60.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	21	25
2	29	25
3	38	25
4	46	25
5	58	25
6	64	25
7	72	25
8	86	25
9	157	25
10	1324	25
11	2215	25
12	2835	25
13	3665	25
14	4903	25
15	7000	25
16	7783	25
17	7984	25

Stop Event

1×	node limit

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))

soundness819.0ms (15.4%)

Memory

-9.0MiB live, 393.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	18
0	9	18
1	45	16
2	279	16
3	2756	16
0	8351	16
0	5	23
0	10	23
1	36	23
2	231	15
3	2297	13
0	9524	13
0	11	144
1	30	144
2	64	144
3	103	144
4	286	144
5	1327	144
6	2336	144
7	3178	144
8	3901	144
9	4727	144
10	5070	144
11	5335	144
12	5547	144
13	5767	144
14	5850	144
15	6640	144
16	7717	144
0	8019	135
0	17	71
0	29	59
1	107	59
2	728	58
0	8899	58
0	4	17
0	7	13
1	30	13
2	199	13
3	1780	13
0	8479	12

Stop Event

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

Compiler

Compiled 93 to 41 computations (55.9% saved)

preprocess167.0ms (3.1%)

Memory: -6.7MiB live, 69.5MiB allocated
Compiler: Compiled 68 to 32 computations (52.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	317	14
4	438	14
5	442	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	5	20
0	9	20
1	16	18
2	30	18
3	51	18
4	73	18
5	115	18
6	145	18
7	155	18
8	173	18
9	180	18
0	180	18

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	317	14
4	438	14
5	442	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	5	20
0	9	20
1	16	18
2	30	18
3	51	18
4	73	18
5	115	18
6	145	18
7	155	18
8	173	18
9	180	18
0	180	18

start0.0ms (0%)

analyze0.0ms (0%)

sample892.0ms (16.8%)

explain100.0ms (1.9%)

preprocess19.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize29.0ms (0.6%)

series3.0ms (0.1%)

simplify169.0ms (3.2%)

rewrite364.0ms (6.9%)

eval30.0ms (0.6%)

prune22.0ms (0.4%)

simplify292.0ms (5.5%)

localize201.0ms (3.8%)

series8.0ms (0.2%)

simplify131.0ms (2.5%)

rewrite463.0ms (8.7%)

eval616.0ms (11.6%)

prune52.0ms (1%)

simplify8.0ms (0.2%)

localize17.0ms (0.3%)

series2.0ms (0%)

simplify158.0ms (3%)

rewrite127.0ms (2.4%)

eval83.0ms (1.6%)

prune11.0ms (0.2%)

simplify11.0ms (0.2%)

localize22.0ms (0.4%)

series4.0ms (0.1%)

simplify162.0ms (3%)

rewrite128.0ms (2.4%)

eval55.0ms (1%)

prune13.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

simplify123.0ms (2.3%)

soundness819.0ms (15.4%)

preprocess167.0ms (3.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	317	14
4	438	14
5	442	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	5	20
0	9	20
1	16	18
2	30	18
3	51	18
4	73	18
5	115	18
6	145	18
7	155	18
8	173	18
9	180	18
0	180	18