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)

sample667.0ms (13.6%)

Memory

31.0MiB live, 1 036.3MiB allocated

Samples

426.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-mult: 125.0ms (48.5% of total)

ival-<=: 69.0ms (26.8% of total)

ival-add: 39.0ms (15.1% of total)

ival-and: 11.0ms (4.3% of total)

exact: 11.0ms (4.3% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain59.0ms (1.2%)

Memory

12.5MiB live, 93.1MiB 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

20.0ms

512×

valid

Compiler

Compiled 85 to 24 computations (71.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (71.2% of total)

ival-add: 2.0ms (20.3% of total)

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

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

preprocess19.0ms (0.4%)

Memory

-16.3MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

simplify3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB 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)

localize14.0ms (0.3%)

Memory

22.6MiB live, 22.6MiB 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

10.0ms

256×

valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (63.6% of total)

ival-add: 1.0ms (21.2% of total)

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

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

series6.0ms (0.1%)

Memory

-30.7MiB live, 6.7MiB 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	@	0	((+ (* 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	@	inf	((+ (* x (* x x)) (* x x)) (* x x) (* x (* x x)))

simplify167.0ms (3.4%)

Memory

4.0MiB live, 122.6MiB 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	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 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))

rewrite169.0ms (3.5%)

Memory

39.6MiB live, 225.4MiB allocated

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 x)
(.f64 x (.f64 x x))

Outputs
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eval31.0ms (0.6%)

Memory: -30.2MiB live, 54.3MiB allocated
Compiler: Compiled 6 488 to 692 computations (89.3% saved)

prune6.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB 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)

simplify408.0ms (8.3%)

Memory

19.1MiB live, 241.2MiB 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	630	75
5	3053	75
6	7245	75
0	8227	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)

localize112.0ms (2.3%)

Memory

-24.1MiB live, 137.9MiB 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

98.0ms

256×

valid

Compiler

Compiled 171 to 32 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-div: 58.0ms (66.7% of total)

ival-mult: 22.0ms (25.3% of total)

ival-add: 6.0ms (6.9% of total)

ival-sub: 1.0ms (1.1% 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

24.8MiB live, 24.8MiB 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)))

simplify289.0ms (5.9%)

Memory

6.1MiB live, 152.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	651
1	83	651
2	164	633
3	615	633
4	2345	633
5	6306	633
0	8278	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)

rewrite489.0ms (10%)

Memory

2.5MiB live, 322.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	71
0	29	59
1	107	59
2	728	58
0	8797	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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eval633.0ms (12.9%)

Memory: 14.3MiB live, 485.4MiB allocated
Compiler: Compiled 49 776 to 3 339 computations (93.3% saved)

prune90.0ms (1.8%)

Memory

0.4MiB live, 160.8MiB 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)

simplify9.0ms (0.2%)

Memory

-23.8MiB live, 13.3MiB 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	147	18
7	157	18
8	175	18
9	182	18
0	182	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)

localize30.0ms (0.6%)

Memory

-88.4MiB live, 39.3MiB 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 (44.1% 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

1.8MiB live, 1.8MiB 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
0.0ms	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))

simplify202.0ms (4.1%)

Memory

32.6MiB live, 189.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	256
1	118	250
2	251	246
3	612	240
4	1820	226
5	5807	226
0	8351	207

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

rewrite129.0ms (2.6%)

Memory

-14.8MiB live, 219.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	18
0	9	18
1	45	16
2	279	16
3	2714	16
0	8314	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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eval99.0ms (2%)

Memory: -7.3MiB live, 109.7MiB allocated
Compiler: Compiled 12 500 to 1 922 computations (84.6% saved)

prune9.0ms (0.2%)

Memory

35.0MiB live, 35.0MiB 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)

simplify13.0ms (0.3%)

Memory

-27.3MiB live, 10.8MiB 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	115	16
4	235	16
5	377	16
6	427	16
0	427	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)

localize19.0ms (0.4%)

Memory

30.4MiB live, 30.4MiB 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

13.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

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

ival-mult: 5.0ms (65.1% of total)

ival-add: 1.0ms (13% of total)

ival-neg: 1.0ms (13% of total)

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

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

series7.0ms (0.1%)

Memory

-27.6MiB live, 8.6MiB 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

4.0ms

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)))

simplify165.0ms (3.4%)

Memory

1.6MiB live, 127.9MiB 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	1976	180
6	2968	180
7	4681	180
8	7590	180
0	8558	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))

rewrite140.0ms (2.8%)

Memory

14.1MiB live, 130.0MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	23
0	10	23
1	36	23
2	231	15
3	2323	13
0	9558	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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eval61.0ms (1.2%)

Memory: 17.1MiB live, 87.7MiB allocated
Compiler: Compiled 10 373 to 1 313 computations (87.3% saved)

prune14.0ms (0.3%)

Memory

-24.0MiB live, 27.7MiB 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

10.0MiB live, 10.0MiB 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

8.4MiB live, 8.4MiB 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 10 to 5 computations (50% saved)

regimes4.0ms (0.1%)

Memory

-30.0MiB live, 7.9MiB 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	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
1.0ms	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)

simplify24.0ms (0.5%)

Memory

26.2MiB live, 62.6MiB allocated

Algorithm

1×	egg-herbie

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))

soundness718.0ms (14.7%)

Memory

7.0MiB live, 625.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	71
0	29	59
1	107	59
2	728	58
0	8797	58
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
0	4	17
0	7	13
1	30	13
2	199	13
3	1768	13
0	8450	12
0	5	23
0	10	23
1	36	23
2	231	15
3	2323	13
0	9558	13
0	5	18
0	9	18
1	45	16
2	279	16
3	2714	16
0	8314	16

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

Compiler

Compiled 93 to 41 computations (55.9% saved)

preprocess71.0ms (1.5%)

Memory: -12.1MiB live, 66.9MiB allocated
Compiler: Compiled 68 to 32 computations (52.9% saved)

end0.0ms (0%)

Memory: 0.1MiB 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	5	20
0	9	20
1	16	18
2	30	18
3	51	18
4	73	18
5	115	18
6	147	18
7	157	18
8	175	18
9	182	18
0	182	18

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	5	20
0	9	20
1	16	18
2	30	18
3	51	18
4	73	18
5	115	18
6	147	18
7	157	18
8	175	18
9	182	18
0	182	18

start0.0ms (0%)

analyze0.0ms (0%)

sample667.0ms (13.6%)

explain59.0ms (1.2%)

preprocess19.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize14.0ms (0.3%)

series6.0ms (0.1%)

simplify167.0ms (3.4%)

rewrite169.0ms (3.5%)

eval31.0ms (0.6%)

prune6.0ms (0.1%)

simplify408.0ms (8.3%)

localize112.0ms (2.3%)

series8.0ms (0.2%)

simplify289.0ms (5.9%)

rewrite489.0ms (10%)

eval633.0ms (12.9%)

prune90.0ms (1.8%)

simplify9.0ms (0.2%)

localize30.0ms (0.6%)

series2.0ms (0%)

simplify202.0ms (4.1%)

rewrite129.0ms (2.6%)

eval99.0ms (2%)

prune9.0ms (0.2%)

simplify13.0ms (0.3%)

localize19.0ms (0.4%)

series7.0ms (0.1%)

simplify165.0ms (3.4%)

rewrite140.0ms (2.8%)

eval61.0ms (1.2%)

prune14.0ms (0.3%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

simplify24.0ms (0.5%)

soundness718.0ms (14.7%)

preprocess71.0ms (1.5%)

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

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	147	18
7	157	18
8	175	18
9	182	18
0	182	18