Metrics for FastMath test1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample587.0ms (36.3%)

Memory

28.6MiB live, 937.1MiB allocated

Samples

368.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult: 157.0ms (75.8% of total)

ival-add: 36.0ms (17.4% of total)

exact: 7.0ms (3.4% of total)

ival-true: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain179.0ms (11.1%)

Memory

-7.4MiB live, 67.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64)))`
-	-	`(*.f64 d #s(literal 10 binary64))`
-	-	`d`
-	-	`#s(literal 20 binary64)`
-	-	`(*.f64 d #s(literal 20 binary64))`
-	-	`#s(literal 10 binary64)`

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

118.0ms

512×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 104.0ms (96.8% of total)

ival-add: 2.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess16.0ms (1%)

Memory

20.4MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`distribute-lft-neg-in`
28×	`sub-neg`
28×	`distribute-rgt-neg-in`
24×	`cancel-sign-sub-inv`
18×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	27	8
2	87	6
3	191	6
4	233	6
5	236	6
0	6	7
0	9	3
1	15	3
2	17	3
0	17	3

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64)))

Outputs
(+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64)))
(*.f64 #s(literal 30 binary64) d)

Symmetry

(negabs d)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify19.0ms (1.2%)

Memory

-37.0MiB live, 5.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 d #s(literal 20 binary64))
cost-diff	0	(*.f64 d #s(literal 10 binary64))
cost-diff	512	(+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64)))

Rules

12×	`lower-*.f32`
8×	`lower-*.f64`
8×	`lower-fma.f64`
8×	`lower-fma.f32`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	12
1	15	12
2	17	12
0	17	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64)))
(*.f64 d #s(literal 10 binary64))
d
#s(literal 10 binary64)
(*.f64 d #s(literal 20 binary64))
#s(literal 20 binary64)

Outputs
(+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64)))
(*.f64 #s(literal 30 binary64) d)
(*.f64 d #s(literal 10 binary64))
(*.f64 #s(literal 10 binary64) d)
d
#s(literal 10 binary64)
(*.f64 d #s(literal 20 binary64))
(*.f64 #s(literal 20 binary64) d)
#s(literal 20 binary64)

localize15.0ms (1%)

Memory

29.2MiB live, 29.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 d #s(literal 20 binary64))
accuracy	0	(*.f64 d #s(literal 10 binary64))
accuracy	0.2421875	(+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64)))

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-mult: 3.0ms (68.4% of total)

ival-add: 1.0ms (22.8% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.9%)

Memory

-27.2MiB live, 11.1MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) (patch (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) #<representation binary64>) () ())
#s(alt (.f64 d #s(literal 10 binary64)) (patch (.f64 d #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (.f64 d #s(literal 20 binary64)) (patch (.f64 d #s(literal 20 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (+.f64 (*.f64 d #s(literal 10 binary64)) (*.f64 d #s(literal 20 binary64))) (patch (+.f64 (*.f64 d #s(literal 10 binary64)) (*.f64 d #s(literal 20 binary64))) #<representation binary64>) () ())

#s(alt (*.f64 d #s(literal 10 binary64)) (patch (*.f64 d #s(literal 10 binary64)) #<representation binary64>) () ())

#s(alt (*.f64 d #s(literal 20 binary64)) (patch (*.f64 d #s(literal 20 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 30 d) (taylor 0 d) (#s(alt (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) (patch (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor 0 d) (#s(alt (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) (patch (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor 0 d) (#s(alt (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) (patch (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor 0 d) (#s(alt (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) (patch (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 10 d) (taylor 0 d) (#s(alt (.f64 d #s(literal 10 binary64)) (patch (.f64 d #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 d) (taylor 0 d) (#s(alt (.f64 d #s(literal 10 binary64)) (patch (.f64 d #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 d) (taylor 0 d) (#s(alt (.f64 d #s(literal 10 binary64)) (patch (.f64 d #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 d) (taylor 0 d) (#s(alt (.f64 d #s(literal 10 binary64)) (patch (.f64 d #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 20 d) (taylor 0 d) (#s(alt (.f64 d #s(literal 20 binary64)) (patch (.f64 d #s(literal 20 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 20 d) (taylor 0 d) (#s(alt (.f64 d #s(literal 20 binary64)) (patch (.f64 d #s(literal 20 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 20 d) (taylor 0 d) (#s(alt (.f64 d #s(literal 20 binary64)) (patch (.f64 d #s(literal 20 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 20 d) (taylor 0 d) (#s(alt (.f64 d #s(literal 20 binary64)) (patch (.f64 d #s(literal 20 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor inf d) (#s(alt (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) (patch (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor inf d) (#s(alt (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) (patch (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor inf d) (#s(alt (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) (patch (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor inf d) (#s(alt (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) (patch (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 10 d) (taylor inf d) (#s(alt (.f64 d #s(literal 10 binary64)) (patch (.f64 d #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 d) (taylor inf d) (#s(alt (.f64 d #s(literal 10 binary64)) (patch (.f64 d #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 d) (taylor inf d) (#s(alt (.f64 d #s(literal 10 binary64)) (patch (.f64 d #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 d) (taylor inf d) (#s(alt (.f64 d #s(literal 10 binary64)) (patch (.f64 d #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 20 d) (taylor inf d) (#s(alt (.f64 d #s(literal 20 binary64)) (patch (.f64 d #s(literal 20 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 20 d) (taylor inf d) (#s(alt (.f64 d #s(literal 20 binary64)) (patch (.f64 d #s(literal 20 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 20 d) (taylor inf d) (#s(alt (.f64 d #s(literal 20 binary64)) (patch (.f64 d #s(literal 20 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 20 d) (taylor inf d) (#s(alt (.f64 d #s(literal 20 binary64)) (patch (.f64 d #s(literal 20 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor -inf d) (#s(alt (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) (patch (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor -inf d) (#s(alt (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) (patch (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor -inf d) (#s(alt (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) (patch (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor -inf d) (#s(alt (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) (patch (+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 10 d) (taylor -inf d) (#s(alt (.f64 d #s(literal 10 binary64)) (patch (.f64 d #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 d) (taylor -inf d) (#s(alt (.f64 d #s(literal 10 binary64)) (patch (.f64 d #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 d) (taylor -inf d) (#s(alt (.f64 d #s(literal 10 binary64)) (patch (.f64 d #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 d) (taylor -inf d) (#s(alt (.f64 d #s(literal 10 binary64)) (patch (.f64 d #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 20 d) (taylor -inf d) (#s(alt (.f64 d #s(literal 20 binary64)) (patch (.f64 d #s(literal 20 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 20 d) (taylor -inf d) (#s(alt (.f64 d #s(literal 20 binary64)) (patch (.f64 d #s(literal 20 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 20 d) (taylor -inf d) (#s(alt (.f64 d #s(literal 20 binary64)) (patch (.f64 d #s(literal 20 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 20 d) (taylor -inf d) (#s(alt (.f64 d #s(literal 20 binary64)) (patch (.f64 d #s(literal 20 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	d	@	inf	((+ (* d 10) (* d 20)) (* d 10) (* d 20))
1.0ms	d	@	-inf	((+ (* d 10) (* d 20)) (* d 10) (* d 20))
1.0ms	d	@	0	((+ (* d 10) (* d 20)) (* d 10) (* d 20))

simplify4.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`lower-*.f64`
12×	`lower-*.f32`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	108
1	10	108
0	10	108

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(* 30 d)
(* 30 d)
(* 30 d)
(* 30 d)
(* 10 d)
(* 10 d)
(* 10 d)
(* 10 d)
(* 20 d)
(* 20 d)
(* 20 d)
(* 20 d)
(* 30 d)
(* 30 d)
(* 30 d)
(* 30 d)
(* 10 d)
(* 10 d)
(* 10 d)
(* 10 d)
(* 20 d)
(* 20 d)
(* 20 d)
(* 20 d)
(* 30 d)
(* 30 d)
(* 30 d)
(* 30 d)
(* 10 d)
(* 10 d)
(* 10 d)
(* 10 d)
(* 20 d)
(* 20 d)
(* 20 d)
(* 20 d)

Outputs
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 10 d)
(*.f64 #s(literal 10 binary64) d)
(* 10 d)
(*.f64 #s(literal 10 binary64) d)
(* 10 d)
(*.f64 #s(literal 10 binary64) d)
(* 10 d)
(*.f64 #s(literal 10 binary64) d)
(* 20 d)
(*.f64 #s(literal 20 binary64) d)
(* 20 d)
(*.f64 #s(literal 20 binary64) d)
(* 20 d)
(*.f64 #s(literal 20 binary64) d)
(* 20 d)
(*.f64 #s(literal 20 binary64) d)
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 10 d)
(*.f64 #s(literal 10 binary64) d)
(* 10 d)
(*.f64 #s(literal 10 binary64) d)
(* 10 d)
(*.f64 #s(literal 10 binary64) d)
(* 10 d)
(*.f64 #s(literal 10 binary64) d)
(* 20 d)
(*.f64 #s(literal 20 binary64) d)
(* 20 d)
(*.f64 #s(literal 20 binary64) d)
(* 20 d)
(*.f64 #s(literal 20 binary64) d)
(* 20 d)
(*.f64 #s(literal 20 binary64) d)
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 10 d)
(*.f64 #s(literal 10 binary64) d)
(* 10 d)
(*.f64 #s(literal 10 binary64) d)
(* 10 d)
(*.f64 #s(literal 10 binary64) d)
(* 10 d)
(*.f64 #s(literal 10 binary64) d)
(* 20 d)
(*.f64 #s(literal 20 binary64) d)
(* 20 d)
(*.f64 #s(literal 20 binary64) d)
(* 20 d)
(*.f64 #s(literal 20 binary64) d)
(* 20 d)
(*.f64 #s(literal 20 binary64) d)

rewrite464.0ms (28.7%)

Memory

15.9MiB live, 210.0MiB allocated

Rules

11 430×	`lower-fma.f64`
11 430×	`lower-fma.f32`
4 824×	`lower-*.f32`
4 820×	`lower-*.f64`
4 202×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	9
1	28	9
2	190	9
3	1992	9
0	8634	9

Stop Event

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

Counts

3 → 274

Calls

Call 1

Inputs
(+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64)))
(*.f64 d #s(literal 10 binary64))
(*.f64 d #s(literal 20 binary64))

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 200 binary64) d) d (.f64 (.f64 #s(literal 100 binary64) d) d)) (.f64 (.f64 (.f64 (.f64 d d) d) #s(literal 9000 binary64)) (.f64 (.f64 (.f64 d d) d) #s(literal -7000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 d d) d) #s(literal -7000 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 200 binary64) d) d (.f64 (.f64 #s(literal 100 binary64) d) d)) (fma.f64 #s(literal 512000000000 binary64) (.f64 (.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d)) (.f64 (.f64 d d) d)) (.f64 #s(literal 1000000000 binary64) (.f64 (.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d)) (.f64 (.f64 d d) d))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 8000 binary64) (.f64 (.f64 d d) d)) (-.f64 (.f64 #s(literal 8000 binary64) (.f64 (.f64 d d) d)) (.f64 #s(literal 1000 binary64) (.f64 (.f64 d d) d))) (.f64 (.f64 #s(literal 1000000 binary64) (.f64 (.f64 d d) d)) (.f64 (.f64 d d) d)))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal -10 binary64) d) (.f64 (.f64 (.f64 d d) #s(literal 500 binary64)) (.f64 (.f64 d d) #s(literal -300 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 d d) #s(literal 500 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal -10 binary64) d) (.f64 (.f64 (.f64 (.f64 d d) d) #s(literal 9000 binary64)) (.f64 (.f64 (.f64 d d) d) #s(literal -7000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 d d) (.f64 d d)) #s(literal 10000 binary64) (.f64 (.f64 (.f64 #s(literal 400 binary64) d) d) (.f64 (*.f64 d d) #s(literal 500 binary64))))))
(.f64 (pow.f64 (/.f64 d (.f64 #s(literal 30 binary64) d)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -10 binary64) (*.f64 #s(literal -10 binary64) d)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 d d) #s(literal -300 binary64)) (.f64 (.f64 (.f64 d d) d) #s(literal -7000 binary64))) (fma.f64 (.f64 d d) #s(literal 500 binary64) (.f64 (*.f64 #s(literal 200 binary64) d) d)))
(.f64 (/.f64 (.f64 (.f64 (.f64 d d) d) #s(literal 9000 binary64)) (.f64 (fma.f64 (.f64 #s(literal 200 binary64) d) d (.f64 (.f64 #s(literal 100 binary64) d) d)) (.f64 (.f64 (.f64 d d) #s(literal 10 binary64)) #s(literal -10 binary64)))) (.f64 (.f64 (.f64 d d) #s(literal 10 binary64)) #s(literal -10 binary64)))
(.f64 (/.f64 (.f64 (.f64 (.f64 d d) d) #s(literal 9000 binary64)) (fma.f64 (.f64 #s(literal 8000000 binary64) (.f64 (.f64 d d) d)) (.f64 (.f64 d d) d) (.f64 (.f64 #s(literal 1000000 binary64) (.f64 (.f64 d d) d)) (.f64 (.f64 d d) d)))) (fma.f64 (.f64 (.f64 d d) (.f64 d d)) #s(literal 10000 binary64) (.f64 (.f64 (.f64 #s(literal 200 binary64) d) d) (-.f64 (.f64 (.f64 #s(literal 200 binary64) d) d) (.f64 (*.f64 #s(literal 100 binary64) d) d)))))
(.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal -10 binary64) (.f64 (*.f64 d d) #s(literal -300 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 d d) #s(literal 300 binary64)) (.f64 (.f64 d d) #s(literal 300 binary64))) (.f64 #s(literal 30 binary64) d))
(.f64 (/.f64 (.f64 (*.f64 d d) #s(literal -300 binary64)) d) #s(literal -1/10 binary64))
(.f64 (.f64 (.f64 (.f64 (.f64 d d) #s(literal 500 binary64)) (.f64 (.f64 d d) #s(literal -300 binary64))) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 10 binary64) d))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal 500 binary64))))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 d d) d) #s(literal 9000 binary64)) (.f64 (.f64 (.f64 d d) d) #s(literal -7000 binary64))) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 10 binary64) d))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 d d) (.f64 d d)) #s(literal 10000 binary64) (.f64 (.f64 (.f64 #s(literal 400 binary64) d) d) (.f64 (.f64 d d) #s(literal 500 binary64))))))
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(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 10 binary64) d) (neg.f64 (.f64 #s(literal -20 binary64) d)))
(fma.f64 #s(literal -10 binary64) d (neg.f64 (*.f64 #s(literal -20 binary64) d)))
(fma.f64 (neg.f64 d) #s(literal 10 binary64) (neg.f64 (*.f64 #s(literal -20 binary64) d)))
(fma.f64 (.f64 (.f64 (.f64 d d) #s(literal 500 binary64)) (.f64 (.f64 d d) #s(literal -300 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 30 binary64) d) (.f64 (.f64 d d) #s(literal 500 binary64)))) (neg.f64 (.f64 #s(literal -20 binary64) d)))
(fma.f64 (.f64 (.f64 (.f64 (.f64 d d) d) #s(literal 9000 binary64)) (.f64 (.f64 (.f64 d d) d) #s(literal -7000 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 30 binary64) d) (fma.f64 (.f64 (.f64 d d) (.f64 d d)) #s(literal 10000 binary64) (.f64 (.f64 (.f64 #s(literal 400 binary64) d) d) (.f64 (.f64 d d) #s(literal 500 binary64)))))) (neg.f64 (.f64 #s(literal -20 binary64) d)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 10 binary64) d)) (.f64 (.f64 #s(literal 100 binary64) d) d) (neg.f64 (.f64 #s(literal -20 binary64) d)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -10 binary64) d) (neg.f64 (.f64 #s(literal -20 binary64) d)))
(fma.f64 (.f64 (.f64 (.f64 d d) d) #s(literal -7000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 100 binary64) d) d (-.f64 (.f64 (.f64 #s(literal 400 binary64) d) d) (.f64 (.f64 #s(literal 200 binary64) d) (neg.f64 d))))) (neg.f64 (*.f64 #s(literal -20 binary64) d)))
(fma.f64 (.f64 (.f64 (.f64 d d) d) #s(literal -7000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 d d) #s(literal 500 binary64) (.f64 (.f64 #s(literal 200 binary64) d) d))) (neg.f64 (*.f64 #s(literal -20 binary64) d)))
(fma.f64 (.f64 (.f64 d d) #s(literal 300 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(literal 30 binary64) d))) (neg.f64 (.f64 #s(literal -20 binary64) d)))
(fma.f64 (.f64 #s(literal -10 binary64) d) #s(literal 1 binary64) (neg.f64 (.f64 #s(literal -20 binary64) d)))
(fma.f64 (.f64 (.f64 d d) #s(literal -300 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 10 binary64) d) (.f64 #s(literal -20 binary64) d))) (neg.f64 (*.f64 #s(literal -20 binary64) d)))
(fma.f64 (.f64 (.f64 d d) #s(literal -300 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 30 binary64) d)) (neg.f64 (.f64 #s(literal -20 binary64) d)))
(fma.f64 (.f64 #s(literal 30 binary64) d) (/.f64 (.f64 #s(literal -10 binary64) d) (.f64 #s(literal 30 binary64) d)) (neg.f64 (.f64 #s(literal -20 binary64) d)))
(fma.f64 #s(literal 20 binary64) (pow.f64 d #s(literal 1 binary64)) (*.f64 #s(literal -10 binary64) d))
(fma.f64 #s(literal 20 binary64) d (*.f64 #s(literal -10 binary64) d))
(fma.f64 #s(literal 10 binary64) (neg.f64 d) (neg.f64 (*.f64 #s(literal -20 binary64) d)))
(fma.f64 d #s(literal -10 binary64) (neg.f64 (*.f64 #s(literal -20 binary64) d)))
(fma.f64 d #s(literal 20 binary64) (*.f64 #s(literal -10 binary64) d))
(-.f64 (/.f64 (.f64 #s(literal 8000 binary64) (.f64 (.f64 d d) d)) (fma.f64 (.f64 #s(literal 400 binary64) d) d (fma.f64 (.f64 #s(literal 200 binary64) d) d (.f64 (.f64 #s(literal 100 binary64) d) d)))) (/.f64 (.f64 #s(literal 1000 binary64) (.f64 (.f64 d d) d)) (fma.f64 (.f64 #s(literal 400 binary64) d) d (fma.f64 (.f64 #s(literal 200 binary64) d) d (.f64 (.f64 #s(literal 100 binary64) d) d)))))
(-.f64 (/.f64 (.f64 #s(literal 1000 binary64) (.f64 (.f64 d d) d)) (neg.f64 (fma.f64 (.f64 d d) #s(literal 500 binary64) (.f64 (.f64 #s(literal 200 binary64) d) d)))) (/.f64 (.f64 #s(literal 8000 binary64) (.f64 (.f64 d d) d)) (neg.f64 (fma.f64 (.f64 d d) #s(literal 500 binary64) (.f64 (.f64 #s(literal 200 binary64) d) d)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 30 binary64) d)) (.f64 #s(literal -10 binary64) d))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 d d) (.f64 d d)) #s(literal 10000 binary64)) (.f64 (.f64 d d) #s(literal 500 binary64))) (neg.f64 (.f64 #s(literal 30 binary64) d))) (/.f64 (/.f64 (.f64 (.f64 (.f64 d d) (.f64 d d)) #s(literal 160000 binary64)) (.f64 (.f64 d d) #s(literal 500 binary64))) (neg.f64 (.f64 #s(literal 30 binary64) d))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1000000 binary64) (.f64 (.f64 d d) d)) (.f64 (.f64 d d) d)) (fma.f64 (.f64 (.f64 d d) (.f64 d d)) #s(literal 10000 binary64) (.f64 (.f64 (.f64 #s(literal 400 binary64) d) d) (.f64 (.f64 d d) #s(literal 500 binary64))))) (neg.f64 (.f64 #s(literal 30 binary64) d))) (/.f64 (/.f64 (.f64 #s(literal 64000000 binary64) (.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d))) (fma.f64 (.f64 (.f64 d d) (.f64 d d)) #s(literal 10000 binary64) (.f64 (.f64 (.f64 #s(literal 400 binary64) d) d) (.f64 (.f64 d d) #s(literal 500 binary64))))) (neg.f64 (.f64 #s(literal 30 binary64) d))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 100 binary64) d) d) (neg.f64 (.f64 #s(literal 30 binary64) d))) (/.f64 (.f64 (.f64 #s(literal 400 binary64) d) d) (neg.f64 (.f64 #s(literal 30 binary64) d))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 400 binary64) d) d) (.f64 #s(literal 30 binary64) d)) (/.f64 (.f64 (.f64 #s(literal 100 binary64) d) d) (.f64 #s(literal 30 binary64) d)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -10 binary64) d))
(-.f64 (.f64 #s(literal 20 binary64) d) (.f64 #s(literal 10 binary64) d))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 10 binary64) d)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 10 binary64) d)))
(+.f64 (.f64 #s(literal -10 binary64) d) (neg.f64 (.f64 #s(literal -20 binary64) d)))
(+.f64 (.f64 #s(literal 20 binary64) d) (.f64 #s(literal -10 binary64) d))
(*.f64 (exp.f64 (log.f64 #s(literal 20 binary64))) (exp.f64 (log.f64 d)))
(*.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 #s(literal 20 binary64))))
(*.f64 (pow.f64 d #s(literal 1 binary64)) #s(literal 20 binary64))
(*.f64 #s(literal 20 binary64) (pow.f64 d #s(literal 1 binary64)))
(*.f64 #s(literal 20 binary64) d)
(*.f64 d #s(literal 20 binary64))
(pow.f64 (*.f64 #s(literal 20 binary64) d) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 20 binary64) d)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 20 binary64) d)))

eval59.0ms (3.6%)

Memory: -1.6MiB live, 101.5MiB allocated
Compiler: Compiled 7 820 to 780 computations (90% saved)

prune40.0ms (2.5%)

Memory

-18.9MiB live, 96.6MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	309	1	310
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	310	1	311

Accuracy

100.0%

Counts

311 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 d #s(literal 30 binary64))

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 d #s(literal 30 binary64))

Rules

4×	`lower-*.f32`
2×	`*-commutative`
2×	`lower-*.f64`
2×	`lift-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	4	5
1	5	5
0	5	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 d #s(literal 30 binary64))
d
#s(literal 30 binary64)

Outputs
(*.f64 d #s(literal 30 binary64))
(*.f64 #s(literal 30 binary64) d)
d
#s(literal 30 binary64)

localize12.0ms (0.8%)

Memory

-22.5MiB live, 20.9MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 d #s(literal 30 binary64))

Samples

6.0ms

256×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 2.0ms (106% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

1 → 12

Calls

Call 1

Inputs
#s(alt (.f64 d #s(literal 30 binary64)) (patch (.f64 d #s(literal 30 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 30 d) (taylor 0 d) (#s(alt (.f64 d #s(literal 30 binary64)) (patch (.f64 d #s(literal 30 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor 0 d) (#s(alt (.f64 d #s(literal 30 binary64)) (patch (.f64 d #s(literal 30 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor 0 d) (#s(alt (.f64 d #s(literal 30 binary64)) (patch (.f64 d #s(literal 30 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor 0 d) (#s(alt (.f64 d #s(literal 30 binary64)) (patch (.f64 d #s(literal 30 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor inf d) (#s(alt (.f64 d #s(literal 30 binary64)) (patch (.f64 d #s(literal 30 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor inf d) (#s(alt (.f64 d #s(literal 30 binary64)) (patch (.f64 d #s(literal 30 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor inf d) (#s(alt (.f64 d #s(literal 30 binary64)) (patch (.f64 d #s(literal 30 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor inf d) (#s(alt (.f64 d #s(literal 30 binary64)) (patch (.f64 d #s(literal 30 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor -inf d) (#s(alt (.f64 d #s(literal 30 binary64)) (patch (.f64 d #s(literal 30 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor -inf d) (#s(alt (.f64 d #s(literal 30 binary64)) (patch (.f64 d #s(literal 30 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor -inf d) (#s(alt (.f64 d #s(literal 30 binary64)) (patch (.f64 d #s(literal 30 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 30 d) (taylor -inf d) (#s(alt (.f64 d #s(literal 30 binary64)) (patch (.f64 d #s(literal 30 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	d	@	inf	((* d 30))
0.0ms	d	@	-inf	((* d 30))
0.0ms	d	@	0	((* d 30))

simplify3.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`lower-*.f64`
4×	`lower-*.f32`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
1	4	36
0	4	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(* 30 d)
(* 30 d)
(* 30 d)
(* 30 d)
(* 30 d)
(* 30 d)
(* 30 d)
(* 30 d)
(* 30 d)
(* 30 d)
(* 30 d)
(* 30 d)

Outputs
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))
(* 30 d)
(*.f64 d #s(literal 30 binary64))

rewrite7.0ms (0.4%)

Memory

10.3MiB live, 10.3MiB allocated

Rules

4×	`lower-*.f32`
2×	`lower-*.f64`
2×	`*-commutative`
2×	`lift-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
0	4	3
1	5	3
0	5	3

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

1 → 2

Calls

Call 1

Inputs
(*.f64 d #s(literal 30 binary64))

Outputs
(*.f64 #s(literal 30 binary64) d)
(*.f64 d #s(literal 30 binary64))

eval1.0ms (0.1%)

Memory: 2.6MiB live, 2.6MiB allocated
Compiler: Compiled 55 to 4 computations (92.7% saved)

prune2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	1	15

Accuracy

100.0%

Counts

15 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 d #s(literal 30 binary64))

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes3.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated

Accuracy

Total -0.2b remaining (-∞%)

Threshold costs -0.2b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 d #s(literal 30 binary64))
(+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64)))

Outputs
(*.f64 d #s(literal 30 binary64))

Calls

2 calls:

2.0ms	d
2.0ms	(+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`d`
100.0%	1	`(+.f64 (.f64 d #s(literal 10 binary64)) (.f64 d #s(literal 20 binary64)))`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify22.0ms (1.4%)

Memory

-24.9MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 d #s(literal 30 binary64))

Outputs
(*.f64 d #s(literal 30 binary64))
(*.f64 #s(literal 30 binary64) d)

soundness133.0ms (8.2%)

Memory

1.1MiB live, 119.2MiB allocated

Rules

11 430×	`lower-fma.f64`
11 430×	`lower-fma.f32`
4 824×	`lower-*.f32`
4 820×	`lower-*.f64`
4 202×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	9
1	28	9
2	190	9
3	1992	9
0	8634	9

Stop Event

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

preprocess29.0ms (1.8%)

Memory: 2.4MiB live, 80.0MiB allocated
Remove: (negabs d)
Compiler: Compiled 48 to 36 computations (25% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample587.0ms (36.3%)

explain179.0ms (11.1%)

preprocess16.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify19.0ms (1.2%)

localize15.0ms (1%)

series15.0ms (0.9%)

simplify4.0ms (0.2%)

rewrite464.0ms (28.7%)

eval59.0ms (3.6%)

prune40.0ms (2.5%)

simplify3.0ms (0.2%)

localize12.0ms (0.8%)

series1.0ms (0.1%)

simplify3.0ms (0.2%)

rewrite7.0ms (0.4%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

regimes3.0ms (0.2%)

simplify22.0ms (1.4%)

soundness133.0ms (8.2%)

preprocess29.0ms (1.8%)

end0.0ms (0%)

Profiling