Metrics for Expression 3, p15

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample700.0ms (15.2%)

Memory

31.8MiB live, 1 002.9MiB allocated

Samples

439.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

ival-mult: 149.0ms (55.2% of total)

ival-add: 51.0ms (18.9% of total)

ival-<=: 47.0ms (17.4% of total)

ival-and: 10.0ms (3.7% of total)

exact: 9.0ms (3.3% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess21.0ms (0.5%)

Memory

14.5MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Rules

68×	`associate-r`
62×	`distribute-lft-neg-in`
54×	`sub-neg`
42×	`lower-*.f32`
38×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain101.0ms (2.2%)

Memory

-13.1MiB live, 69.2MiB 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

19.0ms

512×

valid

Compiler

Compiled 60 to 20 computations (66.7% saved)

Precisions

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

ival-mult: 6.0ms (64.6% of total)

ival-add: 2.0ms (21.5% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 4 computations (60% saved)

simplify6.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

42×	`lower-*.f32`
38×	`lower-*.f64`
28×	`lower-fma.f64`
28×	`lower-fma.f32`
18×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.6%)

Memory

-14.9MiB live, 22.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))

Samples

24.0ms

256×

valid

Compiler

Compiled 20 to 6 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-add: 16.0ms (80.8% of total)

ival-mult: 4.0ms (20.2% of total)

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

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

series2.0ms (0%)

Memory

3.1MiB live, 3.2MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 x (.f64 x x)) (*.f64 x x))>
#<alt (.f64 x (.f64 x x))>
#<alt (*.f64 x x)>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

9 calls:

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

rewrite629.0ms (13.6%)

Memory

5.3MiB live, 666.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 118×	`lower-fma.f64`
10 118×	`lower-fma.f32`
4 498×	`lower-/.f64`
4 498×	`lower-/.f32`
3 492×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 243

Calls

Call 1

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

Outputs
(+.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x x x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (-.f64 x (.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (-.f64 (.f64 x x) x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) x)) (neg.f64 (.f64 x (-.f64 (*.f64 x x) x)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x (-.f64 (.f64 x x) x))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x (-.f64 (.f64 x x) x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x))) (.f64 x (-.f64 (.f64 x x) x))) (/.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x))) (.f64 x (-.f64 (.f64 x x) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (-.f64 (.f64 x x) x))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 x (-.f64 (.f64 x x) x)))) (/.f64 (.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 x (-.f64 (.f64 x x) x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))))) (/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x))) (fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))) (/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))) (fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))))
(fma.f64 x x (.f64 x (.f64 x x)))
(fma.f64 x (.f64 x x) (.f64 x x))
(fma.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 x (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (-.f64 (.f64 x x) x))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (.f64 x x) x (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x x) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 x (-.f64 (.f64 x x) x))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x x) x))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 x (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 x x) (.f64 x (-.f64 (.f64 x x) x))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 x (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (-.f64 (.f64 x x) x)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))))
(fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) x))) (.f64 x (fma.f64 x x x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))))
(fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (fma.f64 x x x)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(neg.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))))))
(neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) x)) (neg.f64 (.f64 x (-.f64 (*.f64 x x) x)))))
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(.f64 (pow.f64 (/.f64 x (.f64 x (fma.f64 x x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 x x) x) (.f64 x (-.f64 (*.f64 x x) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 x #s(literal 27 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x))))))
(.f64 (pow.f64 (/.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))))))
(.f64 (pow.f64 (/.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) x))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) (log.f64 x)))
(/.f64 (.f64 x (.f64 x (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 x (.f64 x (*.f64 x x)))) (neg.f64 x))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 x)))
(/.f64 (.f64 x (.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x x))

simplify243.0ms (5.3%)

Memory

-21.6MiB live, 420.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 604×	`lower-*.f64`
5 604×	`lower-*.f32`
3 550×	`cube-prod`
2 370×	`lower-/.f32`
2 370×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval44.0ms (0.9%)

Memory: 22.4MiB live, 60.5MiB allocated
Compiler: Compiled 12 359 to 680 computations (94.5% saved)

prune60.0ms (1.3%)

Memory

1.6MiB live, 75.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accuracy

100.0%

Counts

305 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (.f64 x (.f64 x x)))
▶	100.0%	(*.f64 (fma.f64 x x x) x)
▶	100.0%	(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))
▶	97.7%	(*.f64 x x)

Compiler

Compiled 28 to 14 computations (50% saved)

simplify10.0ms (0.2%)

Memory

-35.8MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

42×	`lower-*.f32`
34×	`lower-*.f64`
28×	`lower-fma.f32`
24×	`lower-fma.f64`
18×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	47
0	16	42
1	28	42
2	37	42
3	45	42
4	55	42
5	58	42
0	58	42

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (1.4%)

Memory

5.5MiB live, 42.1MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(fma.f64 x x x)
✓	accuracy	100.0%	(*.f64 (fma.f64 x x x) x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)

Samples

17.0ms

256×

valid

Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions

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

ival-mult: 6.0ms (61.3% of total)

ival-add: 3.0ms (30.6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

7 → 84

Calls

Call 1

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

Outputs
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

21 calls:

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

rewrite556.0ms (12.1%)

Memory

17.1MiB live, 609.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 628×	`lower-fma.f32`
7 624×	`lower-fma.f64`
4 994×	`lower-*.f32`
4 986×	`lower-*.f64`
3 128×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
0	16	31
1	60	31
2	377	31
3	3822	31
0	9050	31

Stop Event

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

Counts

7 → 641

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 x)))
(/.f64 (.f64 x (.f64 x x)) x)
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(+.f64 (.f64 x x) (.f64 x (*.f64 x x)))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (.f64 x x)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x x x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (-.f64 (.f64 x x) x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 (.f64 x x) x))))
(fma.f64 x x (.f64 x (.f64 x x)))
(fma.f64 x (.f64 x x) (.f64 x x))
(fma.f64 x (/.f64 (.f64 x x) (-.f64 x (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (*.f64 x x)))))
(fma.f64 x (/.f64 (.f64 x (.f64 x x)) (.f64 x (-.f64 x (.f64 x x)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x x) x (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(fma.f64 (.f64 x x) (/.f64 x (-.f64 x (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 x (-.f64 x (.f64 x x)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (*.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 x (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (.f64 x x)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 x (.f64 x (-.f64 x (.f64 x x)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (.f64 x x)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (.f64 x x)))))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 x (.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x))
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(.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 x x)))
(.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (-.f64 (.f64 x x) x) x)))))
(.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (-.f64 x (.f64 x x))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (-.f64 (.f64 x x) x) x))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (-.f64 (.f64 x x) x) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 x x) x))))
(.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 x (.f64 x (-.f64 (*.f64 x x) x))))))
(.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(.f64 (/.f64 (.f64 x (fma.f64 x x x)) x) (/.f64 (.f64 x (-.f64 x (.f64 x x))) (-.f64 x (*.f64 x x))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x (.f64 x x))))) (.f64 x (fma.f64 x x x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (-.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x (*.f64 x x))))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (-.f64 (.f64 x x) x)))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (-.f64 (.f64 x x) x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (-.f64 (.f64 x x) x) x)))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (-.f64 (.f64 x x) x)))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (-.f64 (.f64 x x) x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (-.f64 (.f64 x x) x) x)) (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x (-.f64 (.f64 x x) x)))))) (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x (-.f64 (*.f64 x x) x)))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x x))))
(.f64 (/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (.f64 x (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x x)) x))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (fma.f64 (.f64 x (-.f64 x (.f64 x x))) (-.f64 (.f64 x (-.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x x)) x))) (.f64 (fma.f64 x x (.f64 x (.f64 x (-.f64 (.f64 x x) x)))) (.f64 x (-.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x x)))))) (.f64 x (-.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x x)))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64))))) (.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 x x x))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64))))) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (.f64 x x))) x))) (.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (pow.f64 (/.f64 x (.f64 x (fma.f64 x x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x (.f64 x x)) (.f64 x (-.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 x (-.f64 x (.f64 x x))) (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x x) x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(.f64 (pow.f64 (/.f64 (.f64 x (-.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x x) x))) (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x x) x)))))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (-.f64 (.f64 x x) x) x)) (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 x #s(literal 27 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (-.f64 (.f64 x x) x) x)) (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) (log.f64 x)))
(/.f64 (.f64 x (.f64 x (*.f64 x x))) x)
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))

simplify255.0ms (5.5%)

Memory

5.7MiB live, 372.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 588×	`lower-*.f64`
5 588×	`lower-*.f32`
3 538×	`cube-prod`
2 370×	`lower-/.f32`
2 370×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	370
1	48	370
2	67	370
3	215	370
4	1286	370
5	2278	370
6	3130	370
7	3859	370
8	4653	370
9	4996	370
10	5257	370
11	5469	370
12	5689	370
13	5772	370
14	6561	370
15	7659	370
16	7960	370
0	8052	334

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

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

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

eval117.0ms (2.5%)

Memory: -3.9MiB live, 146.7MiB allocated
Compiler: Compiled 19 908 to 1 025 computations (94.9% saved)

prune45.0ms (1%)

Memory

-8.7MiB live, 113.2MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	769	1	770
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	769	5	774

Accuracy

100.0%

Counts

774 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (.f64 x (.f64 x x)))
✓	100.0%	(*.f64 (fma.f64 x x x) x)
✓	100.0%	(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))
▶	100.0%	(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) x)
✓	97.7%	(*.f64 x x)

Compiler

Compiled 36 to 19 computations (47.2% saved)

simplify6.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

42×	`lower-*.f32`
38×	`lower-*.f64`
28×	`lower-fma.f64`
28×	`lower-fma.f32`
16×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	8	17
1	15	17
2	22	17
3	36	17
4	50	17
5	51	17
0	51	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.4%)

Memory

-7.2MiB live, 31.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) x)

Samples

10.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (57.2% of total)

ival-add: 1.0ms (19.1% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

3 → 36

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>

Calls

9 calls:

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

rewrite567.0ms (12.3%)

Memory

-0.6MiB live, 519.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 546×	`lower-fma.f64`
10 546×	`lower-fma.f32`
3 880×	`lower-/.f64`
3 880×	`lower-/.f32`
3 610×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	27	15
2	142	15
3	1181	15
0	8464	13

Stop Event

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

Counts

3 → 472

Calls

Call 1

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

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

simplify286.0ms (6.2%)

Memory

1.3MiB live, 374.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 588×	`lower-*.f64`
5 588×	`lower-*.f32`
3 568×	`cube-prod`
2 370×	`lower-/.f32`
2 370×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	154
1	48	154
2	67	154
3	212	154
4	1321	154
5	2336	154
6	3197	154
7	3926	154
8	4744	154
9	5087	154
10	5358	154
11	5570	154
12	5790	154
13	5873	154
14	6662	154
15	7760	154
0	8056	136

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

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

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

eval67.0ms (1.4%)

Memory: -11.6MiB live, 188.5MiB allocated
Compiler: Compiled 14 531 to 1 478 computations (89.8% saved)

prune74.0ms (1.6%)

Memory

23.8MiB live, 140.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	505	0	505
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	505	5	510

Accuracy

100.0%

Counts

510 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (.f64 x (.f64 x x)))
✓	100.0%	(*.f64 (fma.f64 x x x) x)
✓	100.0%	(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))
✓	100.0%	(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) x)
✓	97.7%	(*.f64 x x)

Compiler

Compiled 77 to 31 computations (59.7% saved)

regimes5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

regimes27.0ms (0.6%)

Memory

-34.5MiB live, 8.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
2.0ms	x

Results

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

regimes3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

regimes2.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 12 to 5 computations (58.3% saved)

simplify6.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	18	24

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness629.0ms (13.6%)

Memory

-21.2MiB live, 330.6MiB allocated

Rules

10 118×	`lower-fma.f64`
10 118×	`lower-fma.f32`
7 628×	`lower-fma.f32`
7 624×	`lower-fma.f64`
5 604×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	144
1	30	144
2	64	144
3	103	144
4	286	144
5	1326	144
6	2335	144
7	3183	144
8	3904	144
9	4731	144
10	5074	144
11	5337	144
12	5549	144
13	5769	144
14	5852	144
15	6642	144
16	7744	144
0	8032	135
0	9	36
0	16	31
1	60	31
2	377	31
3	3822	31
0	9050	31
0	4	17
0	7	13
1	30	13
2	199	13
3	1768	13
0	8450	12

Stop Event

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

Compiler

Compiled 60 to 27 computations (55% saved)

preprocess39.0ms (0.9%)

Memory: 7.9MiB live, 84.7MiB allocated
Compiler: Compiled 86 to 38 computations (55.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

analyze0.0ms (0%)

sample700.0ms (15.2%)

preprocess21.0ms (0.5%)

explain101.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize30.0ms (0.6%)

series2.0ms (0%)

rewrite629.0ms (13.6%)

simplify243.0ms (5.3%)

eval44.0ms (0.9%)

prune60.0ms (1.3%)

simplify10.0ms (0.2%)

localize63.0ms (1.4%)

series3.0ms (0.1%)

rewrite556.0ms (12.1%)

simplify255.0ms (5.5%)

eval117.0ms (2.5%)

prune45.0ms (1%)

simplify6.0ms (0.1%)

localize17.0ms (0.4%)

series1.0ms (0%)

rewrite567.0ms (12.3%)

simplify286.0ms (6.2%)

eval67.0ms (1.4%)

prune74.0ms (1.6%)

regimes5.0ms (0.1%)

regimes27.0ms (0.6%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

simplify6.0ms (0.1%)

soundness629.0ms (13.6%)

preprocess39.0ms (0.9%)

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