Metrics for Data.Colour.CIE:lightness from colour-2.3.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0.1%)

Memory

-37.8MiB live, 0.4MiB 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 7 to 7 computations (0% saved)

sample667.0ms (37.5%)

Memory

-65.8MiB live, 614.5MiB allocated

Samples

299.0ms	8 199×	0	valid
2.0ms	35×	1	valid
2.0ms	22×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-mult: 65.0ms (51.2% of total)

ival-sub: 43.0ms (33.9% of total)

exact: 8.0ms (6.3% of total)

ival-true: 6.0ms (4.7% of total)

ival-assert: 4.0ms (3.2% of total)

adjust: 1.0ms (0.8% of total)

Bogosity

explain54.0ms (3%)

Memory

18.9MiB live, 99.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
-	-	`#s(literal 16 binary64)`
-	-	`(*.f64 x #s(literal 116 binary64))`
-	-	`#s(literal 116 binary64)`
-	-	`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	508×	0	valid
0.0ms	2×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 32 to 19 computations (40.6% saved)

Precisions

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

ival-mult: 5.0ms (58.7% of total)

ival-sub: 3.0ms (35.2% of total)

exact: 1.0ms (11.7% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess16.0ms (0.9%)

Memory

-5.7MiB live, 31.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11×	`cancel-sign-sub-inv`
10×	`distribute-lft-neg-in`
10×	`sub-neg`
7×	`distribute-rgt-neg-in`
7×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	19	11
2	45	10
3	96	10
4	145	10
5	164	10
6	172	10
0	5	5
0	7	5
1	11	5
2	12	5
0	12	4

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Outputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 116 binary64))
cost-diff	128	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Rules

2×	`lower-fma.f64`
2×	`lower-+.f64`
2×	`lower-fma.f32`
2×	`lower-*.f32`
2×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	11	11
2	12	11
0	12	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(*.f64 x #s(literal 116 binary64))
x
#s(literal 116 binary64)
#s(literal 16 binary64)

Outputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(*.f64 x #s(literal 116 binary64))
(*.f64 #s(literal 116 binary64) x)
x
#s(literal 116 binary64)
#s(literal 16 binary64)

localize20.0ms (1.1%)

Memory

-5.9MiB live, 40.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x #s(literal 116 binary64))
accuracy	0.01171875	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Samples

9.0ms	254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-mult: 2.0ms (55.1% of total)

ival-sub: 1.0ms (27.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())

#s(alt (*.f64 x #s(literal 116 binary64)) (patch (*.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())

Outputs
#s(alt -16 (taylor 0 x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (patch (-.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(- (* x 116) 16)
0.0ms	x	@	0	(- (* x 116) 16)
0.0ms	x	@	-inf	(* x 116)
0.0ms	x	@	inf	(* x 116)
0.0ms	x	@	0	(* x 116)

simplify15.0ms (0.8%)

Memory

-7.9MiB live, 29.8MiB allocated

Algorithm

1×	egg-herbie

Rules

90×	`lower-fma.f64`
90×	`lower-fma.f32`
66×	`lower-*.f64`
66×	`lower-*.f32`
36×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)

Outputs
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))

rewrite223.0ms (12.5%)

Memory

27.7MiB live, 363.6MiB allocated

Rules

4 831×	`lower-fma.f64`
4 831×	`lower-fma.f32`
2 274×	`lower-/.f64`
2 274×	`lower-/.f32`
2 174×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	26	8
2	152	8
3	1211	8
0	8291	7

Stop Event

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

Counts

2 → 298

Calls

Call 1

Inputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(*.f64 x #s(literal 116 binary64))

Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)) (/.f64 (fma.f64 #s(literal -13456 binary64) (.f64 x x) #s(literal 256 binary64)) (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)) (/.f64 (fma.f64 #s(literal -13456 binary64) (.f64 x x) #s(literal 256 binary64)) (fma.f64 #s(literal 1560896 binary64) (.f64 (.f64 x x) x) #s(literal -4096 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)) (/.f64 (fma.f64 #s(literal -13456 binary64) (.f64 x x) #s(literal 256 binary64)) (fma.f64 #s(literal -1560896 binary64) (.f64 (.f64 x x) x) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 181063936 binary64) (.f64 x x)) (.f64 x x) #s(literal -65536 binary64)) (/.f64 (fma.f64 #s(literal -13456 binary64) (.f64 x x) #s(literal 256 binary64)) (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 13456 binary64) x) x #s(literal 256 binary64))) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 181063936 binary64) (.f64 x x)) (.f64 x x) #s(literal -65536 binary64)) (/.f64 (fma.f64 #s(literal -13456 binary64) (.f64 x x) #s(literal 256 binary64)) (fma.f64 #s(literal 1560896 binary64) (.f64 (.f64 x x) x) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x #s(literal 256 binary64))) (neg.f64 (fma.f64 #s(literal 13456 binary64) (*.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 181063936 binary64) (.f64 x x)) (.f64 x x) #s(literal -65536 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 13456 binary64) x) x #s(literal 256 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 181063936 binary64) (.f64 x x)) (.f64 x x) #s(literal -65536 binary64)) (/.f64 (fma.f64 #s(literal -13456 binary64) (.f64 x x) #s(literal 256 binary64)) (fma.f64 #s(literal -1560896 binary64) (.f64 (.f64 x x) x) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x #s(literal 256 binary64))) (fma.f64 #s(literal 13456 binary64) (*.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 181063936 binary64) (.f64 x x)) (.f64 x x) #s(literal -65536 binary64)) (fma.f64 #s(literal 1560896 binary64) (.f64 (.f64 x x) x) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (-.f64 #s(literal 256 binary64) (*.f64 #s(literal 1856 binary64) x))))))
(.f64 (/.f64 (fma.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal -16777216 binary64)) (/.f64 (fma.f64 #s(literal -13456 binary64) (.f64 x x) #s(literal 256 binary64)) (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 181063936 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal 3444736 binary64) (.f64 x x) #s(literal 65536 binary64)))) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal -16777216 binary64)) (/.f64 (fma.f64 #s(literal -13456 binary64) (.f64 x x) #s(literal 256 binary64)) (fma.f64 #s(literal 1560896 binary64) (.f64 (.f64 x x) x) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 181063936 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal 3444736 binary64) (.f64 x x) #s(literal 65536 binary64)))) (neg.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))))
(.f64 (/.f64 (fma.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal -16777216 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 181063936 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal 3444736 binary64) (.f64 x x) #s(literal 65536 binary64)))) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal -16777216 binary64)) (/.f64 (fma.f64 #s(literal -13456 binary64) (.f64 x x) #s(literal 256 binary64)) (fma.f64 #s(literal -1560896 binary64) (.f64 (.f64 x x) x) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 181063936 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal 3444736 binary64) (.f64 x x) #s(literal 65536 binary64)))) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))
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(-.f64 (/.f64 (.f64 (.f64 #s(literal 2436396322816 binary64) (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))) (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1560896 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))) (fma.f64 #s(literal 2436396322816 binary64) (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) (fma.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) (/.f64 #s(literal 4096 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1560896 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) (/.f64 #s(literal 4096 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))))) (/.f64 (.f64 (.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) (/.f64 #s(literal 4096 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) (/.f64 #s(literal 4096 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) (fma.f64 #s(literal 2436396322816 binary64) (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) (fma.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) (/.f64 #s(literal 4096 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1560896 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) (/.f64 #s(literal 4096 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 13456 binary64) x) x) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)) #s(literal 256 binary64)) (.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1560896 binary64) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) (.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))) #s(literal 4096 binary64)) (.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))) (fma.f64 #s(literal 13456 binary64) (*.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 181063936 binary64) (.f64 x x)) (.f64 x x)) (.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)) (fma.f64 (.f64 #s(literal 13456 binary64) x) x #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)) (fma.f64 (.f64 #s(literal 13456 binary64) x) x #s(literal 256 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 3802961274698203136 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))) (fma.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 6393430016 binary64) (.f64 (.f64 x x) x) #s(literal 16777216 binary64))))) (/.f64 #s(literal 68719476736 binary64) (.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))) (fma.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 6393430016 binary64) (.f64 (*.f64 x x) x) #s(literal 16777216 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))) (.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)) (fma.f64 (.f64 #s(literal 181063936 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal 3444736 binary64) (.f64 x x) #s(literal 65536 binary64))))) (/.f64 #s(literal 16777216 binary64) (.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)) (fma.f64 (.f64 #s(literal 181063936 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal 3444736 binary64) (.f64 x x) #s(literal 65536 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))) (.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))) (fma.f64 #s(literal 1560896 binary64) (.f64 (.f64 x x) x) #s(literal 4096 binary64)))) (/.f64 #s(literal 16777216 binary64) (.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))) (fma.f64 #s(literal 1560896 binary64) (.f64 (.f64 x x) x) #s(literal 4096 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))) (neg.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 13456 binary64) (*.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) (neg.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 181063936 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal 13456 binary64) x) x #s(literal 256 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x #s(literal 256 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))) (fma.f64 (.f64 #s(literal 181063936 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal 3444736 binary64) (.f64 x x) #s(literal 65536 binary64)))) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (.f64 #s(literal 181063936 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal 3444736 binary64) (.f64 x x) #s(literal 65536 binary64)))) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))) (fma.f64 #s(literal 1560896 binary64) (.f64 (.f64 x x) x) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (.f64 #s(literal 1856 binary64) x)))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 #s(literal 1560896 binary64) (.f64 (.f64 x x) x) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (.f64 #s(literal 1856 binary64) x)))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 3802961274698203136 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 6393430016 binary64) (.f64 (.f64 x x) x) #s(literal 16777216 binary64)))) (+.f64 #s(literal 256 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (.f64 #s(literal 1856 binary64) x)))) (/.f64 (/.f64 #s(literal 68719476736 binary64) (fma.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 6393430016 binary64) (.f64 (.f64 x x) x) #s(literal 16777216 binary64)))) (+.f64 #s(literal 256 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (*.f64 #s(literal 1856 binary64) x)))))
(-.f64 (/.f64 (.f64 #s(literal 1560896 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 256 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (.f64 #s(literal 1856 binary64) x)))) (/.f64 #s(literal 4096 binary64) (+.f64 #s(literal 256 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (*.f64 #s(literal 1856 binary64) x)))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))) (fma.f64 #s(literal 1560896 binary64) (.f64 (.f64 x x) x) #s(literal 4096 binary64))) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 #s(literal 1560896 binary64) (.f64 (.f64 x x) x) #s(literal 4096 binary64))) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 3802961274698203136 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 6393430016 binary64) (.f64 (.f64 x x) x) #s(literal 16777216 binary64)))) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 68719476736 binary64) (fma.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 6393430016 binary64) (.f64 (.f64 x x) x) #s(literal 16777216 binary64)))) (fma.f64 #s(literal 13456 binary64) (*.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))
(-.f64 (/.f64 #s(literal 256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))) (/.f64 (.f64 (.f64 #s(literal 13456 binary64) x) x) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))))
(-.f64 (.f64 (.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(-.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1560896 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) (/.f64 #s(literal 4096 binary64) (fma.f64 #s(literal 13456 binary64) (*.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))
(-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64)))))
(+.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1560896 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 #s(literal 13456 binary64) (*.f64 x x) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))))
(+.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(.f64 (pow.f64 (.f64 #s(literal 116 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 116 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 116 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 116 binary64))
(*.f64 #s(literal 116 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 116 binary64) x)
(*.f64 x #s(literal 116 binary64))
(pow.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 116 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 116 binary64) x)))

eval48.0ms (2.7%)

Memory: -22.9MiB live, 92.5MiB allocated
Compiler: Compiled 12 615 to 886 computations (93% saved)

prune44.0ms (2.5%)

Memory

27.9MiB live, 103.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	319	3	322
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	320	3	323

Accuracy

100.0%

Counts

323 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
▶	52.8%	#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
▶	48.5%	#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
cost-diff	0	(*.f64 x #s(literal 116 binary64))
cost-diff	0	#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
cost-diff	0	#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Rules

2×	`lower-+.f64`
2×	`lower-fma.f32`
2×	`lower-*.f32`
2×	`lower-+.f32`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
0	12	27
1	15	27
0	15	27

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(literal -16 binary64)
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
(*.f64 x #s(literal 116 binary64))
x
#s(literal 116 binary64)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
x
#s(literal 116 binary64)
#s(literal -16 binary64)

Outputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(literal -16 binary64)
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))
(*.f64 x #s(literal 116 binary64))
(*.f64 #s(literal 116 binary64) x)
x
#s(literal 116 binary64)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
x
#s(literal 116 binary64)
#s(literal -16 binary64)

localize79.0ms (4.4%)

Memory

-25.7MiB live, 95.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
accuracy	0	(*.f64 x #s(literal 116 binary64))
accuracy	30.18720042173059	#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
accuracy	32.93100992819233	#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Samples

17.0ms	254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

ival-mult: 7.0ms (67.2% of total)

ival-add: 1.0ms (9.6% of total)

ival-sub: 1.0ms (9.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())

Outputs
#s(alt -16 (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) #s(literal -16 binary64)) (patch #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt -16 (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 x #s(literal 116 binary64))) (patch #s(approx (- ( x 116) 16) (*.f64 x #s(literal 116 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 116 binary64)) (patch (.f64 x #s(literal 116 binary64)) #<representation binary64>) () ())) ())
#s(alt -16 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (patch (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (* x 116) -16)
0.0ms	x	@	0	(- (* x 116) 16)
0.0ms	x	@	-inf	(+ (* x 116) -16)
0.0ms	x	@	0	(+ (* x 116) -16)
0.0ms	x	@	-inf	(- (* x 116) 16)

simplify16.0ms (0.9%)

Memory

-10.9MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Rules

90×	`lower-fma.f64`
90×	`lower-fma.f32`
66×	`lower-*.f64`
66×	`lower-*.f32`
36×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	192
1	36	192
2	78	192
3	168	192
4	264	192
5	294	192
6	356	192
7	406	192
8	442	192
9	451	192
10	455	192
0	455	165

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))

Outputs
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* 116 x)
(*.f64 x #s(literal 116 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))

rewrite212.0ms (11.9%)

Memory

30.9MiB live, 339.5MiB allocated

Rules

3 356×	`lower-fma.f32`
3 355×	`lower-fma.f64`
2 536×	`lower-/.f64`
2 536×	`lower-/.f32`
2 162×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
0	12	21
1	40	21
2	230	21
3	1868	21
0	8631	21

Stop Event

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

Counts

4 → 314

Calls

Call 1

Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
(*.f64 x #s(literal 116 binary64))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))

Outputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))
(*.f64 (exp.f64 (log.f64 #s(literal 116 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 116 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 116 binary64))
(*.f64 #s(literal 116 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 116 binary64) x)
(*.f64 x #s(literal 116 binary64))
(pow.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 116 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 116 binary64) x)))
(.f64 (/.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)) (/.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)) (+.f64 #s(literal 256 binary64) (.f64 #s(literal -13456 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)) (/.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)) (neg.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)) (/.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)) (neg.f64 (fma.f64 #s(literal 1560896 binary64) (.f64 (.f64 x x) x) #s(literal -4096 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -1856 binary64)) #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)) (/.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)) (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)) (/.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal -256 binary64)) (fma.f64 #s(literal 1560896 binary64) (.f64 (.f64 x x) x) #s(literal -4096 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -1856 binary64)) #s(literal 256 binary64))))
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(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal 256 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal 256 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64) (fma.f64 #s(literal 3444736 binary64) (.f64 x x) #s(literal 65536 binary64)))) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64) (fma.f64 #s(literal 3444736 binary64) (.f64 x x) #s(literal 65536 binary64)))) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1560896 binary64) (.f64 (.f64 x x) x) #s(literal 4096 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -1856 binary64)) #s(literal 256 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 #s(literal 1560896 binary64) (.f64 (.f64 x x) x) #s(literal 4096 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -1856 binary64)) #s(literal 256 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 3802961274698203136 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 #s(literal -6393430016 binary64) (.f64 (.f64 x x) x) #s(literal 16777216 binary64)))) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -1856 binary64)) #s(literal 256 binary64))) (/.f64 (/.f64 #s(literal 68719476736 binary64) (fma.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 #s(literal -6393430016 binary64) (.f64 (.f64 x x) x) #s(literal 16777216 binary64)))) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -1856 binary64)) #s(literal 256 binary64))))
(-.f64 (/.f64 #s(literal 256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))) (/.f64 (.f64 (.f64 #s(literal 13456 binary64) x) x) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(-.f64 (.f64 (.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(-.f64 (.f64 #s(literal 1560896 binary64) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -1856 binary64)) #s(literal 256 binary64)))) (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -1856 binary64)) #s(literal 256 binary64))))
(-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64)))))
(+.f64 (.f64 #s(literal 1560896 binary64) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -1856 binary64)) #s(literal 256 binary64)))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -1856 binary64)) #s(literal 256 binary64)))))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(+.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x))

eval48.0ms (2.7%)

Memory: 6.6MiB live, 87.6MiB allocated
Compiler: Compiled 13 171 to 911 computations (93.1% saved)

prune70.0ms (3.9%)

Memory

-27.7MiB live, 119.6MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	362	0	362
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	362	3	365

Accuracy

100.0%

Counts

365 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓	52.8%	#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
✓	48.5%	#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Compiler

Compiled 29 to 16 computations (44.8% saved)

regimes6.0ms (0.4%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Outputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))

Calls

3 calls:

2.0ms	(*.f64 x #s(literal 116 binary64))
2.0ms	x
2.0ms	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
100.0%	1	`(*.f64 x #s(literal 116 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes60.0ms (3.4%)

Memory

-26.6MiB live, 11.6MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))

Outputs
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))

Calls

3 calls:

57.0ms	(*.f64 x #s(literal 116 binary64))
1.0ms	x
1.0ms	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
97.9%	3	`x`
97.9%	3	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
97.9%	3	`(*.f64 x #s(literal 116 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Outputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Calls

3 calls:

1.0ms	(*.f64 x #s(literal 116 binary64))
1.0ms	x
1.0ms	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
48.5%	1	`x`
48.5%	1	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
48.5%	1	`(*.f64 x #s(literal 116 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch19.0ms (1%)

Memory

-6.5MiB live, 32.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.6403564772001413e-7	45449287.298437506
7.0ms	-872.6769527092873	-0.05605499600052635

Samples

6.0ms

288×

valid

Compiler

Compiled 153 to 99 computations (35.3% saved)

Precisions

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

ival-sub: 1.0ms (54.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify6.0ms (0.4%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	15	48

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))

(if (<=.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64)) #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64))) (if (<=.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))))

#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Outputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(if (<=.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 binary64)) #s(approx (- ( x 116) 16) (.f64 x #s(literal 116 binary64))) (if (<=.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))))
(if (<=.f64 (.f64 #s(literal 116 binary64) x) #s(literal -16 binary64)) #s(approx (- ( x 116) 16) (.f64 #s(literal 116 binary64) x)) (if (<=.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64)) #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))))
#s(approx (- (* x 116) 16) #s(literal -16 binary64))

soundness135.0ms (7.6%)

Memory

-21.5MiB live, 138.0MiB allocated

Rules

4 831×	`lower-fma.f64`
4 831×	`lower-fma.f32`
2 274×	`lower-/.f64`
2 274×	`lower-/.f32`
2 174×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79
0	5	8
0	7	8
1	26	8
2	152	8
3	1211	8
0	8291	7

Stop Event

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

Compiler

Compiled 47 to 24 computations (48.9% saved)

preprocess24.0ms (1.3%)

Memory: 23.1MiB live, 62.0MiB allocated
Compiler: Compiled 70 to 30 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	15	192
1	36	192
2	78	192
3	168	192
4	264	192
5	294	192
6	356	192
7	406	192
8	442	192
9	451	192
10	455	192
0	455	165

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	15	192
1	36	192
2	78	192
3	168	192
4	264	192
5	294	192
6	356	192
7	406	192
8	442	192
9	451	192
10	455	192
0	455	165

start0.0ms (0%)

analyze2.0ms (0.1%)

sample667.0ms (37.5%)

explain54.0ms (3%)

preprocess16.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.2%)

localize20.0ms (1.1%)

series2.0ms (0.1%)

simplify15.0ms (0.8%)

rewrite223.0ms (12.5%)

eval48.0ms (2.7%)

prune44.0ms (2.5%)

simplify4.0ms (0.2%)

localize79.0ms (4.4%)

series1.0ms (0.1%)

simplify16.0ms (0.9%)

rewrite212.0ms (11.9%)

eval48.0ms (2.7%)

prune70.0ms (3.9%)

regimes6.0ms (0.4%)

regimes60.0ms (3.4%)

regimes4.0ms (0.2%)

bsearch19.0ms (1%)

simplify6.0ms (0.4%)

soundness135.0ms (7.6%)

preprocess24.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	15	192
1	36	192
2	78	192
3	168	192
4	264	192
5	294	192
6	356	192
7	406	192
8	442	192
9	451	192
10	455	192
0	455	165