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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample914.0ms (37.9%)

Memory

47.2MiB live, 1 164.9MiB allocated

Samples

384.0ms	8 189×	0	valid
2.0ms	42×	1	valid
2.0ms	25×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 201.0ms

ival-mult: 105.0ms (52.3% of total)

ival-sub: 75.0ms (37.4% of total)

exact: 9.0ms (4.5% of total)

ival-true: 7.0ms (3.5% of total)

ival-assert: 3.0ms (1.5% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

explain54.0ms (2.3%)

Memory

-17.7MiB live, 128.1MiB 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

20.0ms

512×

valid

Compiler

Compiled 32 to 19 computations (40.6% saved)

Precisions

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

ival-mult: 4.0ms (56% of total)

ival-sub: 3.0ms (42% of total)

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

exact: 0.0ms (0% of total)

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

preprocess19.0ms (0.8%)

Memory

-6.3MiB live, 39.2MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`cancel-sign-sub-inv`
20×	`distribute-lft-neg-in`
20×	`sub-neg`
14×	`distribute-rgt-neg-in`
14×	`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 x #s(literal 116 binary64) #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

1.5MiB live, 1.5MiB 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)

simplify4.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB 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

4×	`lower-fma.f64`
4×	`lower-+.f64`
4×	`lower-fma.f32`
4×	`lower-*.f32`
4×	`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 x #s(literal 116 binary64) #s(literal -16 binary64))
(*.f64 x #s(literal 116 binary64))
x
#s(literal 116 binary64)
#s(literal 16 binary64)

localize13.0ms (0.6%)

Memory

15.4MiB live, 15.4MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

8.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (57.7% of total)

ival-sub: 1.0ms (28.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

1.1MiB live, 1.1MiB 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	@	inf	(* x 116)
0.0ms	x	@	-inf	(* x 116)
0.0ms	x	@	0	(- (* x 116) 16)
0.0ms	x	@	0	(* x 116)

simplify355.0ms (14.7%)

Memory

-111.6MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`lower-fma.f64`
180×	`lower-fma.f32`
132×	`lower-*.f64`
132×	`lower-*.f32`
72×	`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 #s(literal 116 binary64) x #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)

rewrite292.0ms (12.1%)

Memory

56.6MiB live, 375.3MiB allocated

Rules

9 662×	`lower-fma.f64`
9 662×	`lower-fma.f32`
4 548×	`lower-/.f64`
4 548×	`lower-/.f32`
4 348×	`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 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))
(+.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1560896 binary64) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (*.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(-.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1560896 binary64) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))) (/.f64 #s(literal 4096 binary64) (fma.f64 (*.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(-.f64 (/.f64 #s(literal 256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64) #s(literal 16777216 binary64)))) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 68719476736 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64) #s(literal 16777216 binary64)))) (fma.f64 (*.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal 4096 binary64))) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal 4096 binary64))) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (+.f64 #s(literal 256 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) (.f64 x #s(literal 1856 binary64))))) (/.f64 #s(literal 4096 binary64) (+.f64 #s(literal 256 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) (*.f64 x #s(literal 1856 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64) #s(literal 16777216 binary64)))) (+.f64 #s(literal 256 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) (.f64 x #s(literal 1856 binary64))))) (/.f64 (/.f64 #s(literal 68719476736 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64) #s(literal 16777216 binary64)))) (+.f64 #s(literal 256 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) (*.f64 x #s(literal 1856 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) (.f64 x #s(literal 1856 binary64))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) (.f64 x #s(literal 1856 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64)))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64)))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))) (neg.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))) (neg.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
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(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64) #s(literal -68719476736 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (.f64 (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)) (.f64 (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64) #s(literal 16777216 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)) (+.f64 (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)) (.f64 #s(literal -13456 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 181063936 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64) #s(literal -68719476736 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) (.f64 (neg.f64 (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64) #s(literal 16777216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal -256 binary64)) (.f64 x #s(literal -1856 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal -256 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) (fma.f64 (*.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal -256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64)))) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64)))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) (/.f64 (fma.f64 #s(literal -13456 binary64) (.f64 x x) #s(literal 256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64)))) (-.f64 (.f64 #s(literal -13456 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) #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 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64)))) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) (-.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal -256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (fma.f64 (*.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) (/.f64 (fma.f64 #s(literal -13456 binary64) (.f64 x x) #s(literal 256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) #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 x (*.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal -256 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal -256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal -4096 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal -256 binary64)) (/.f64 (fma.f64 #s(literal -13456 binary64) (.f64 x x) #s(literal 256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal -4096 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal -256 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) #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 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 116 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 116 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 116 binary64))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 116 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 116 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 116 binary64))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 x #s(literal 116 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 1/2 binary64)))

eval41.0ms (1.7%)

Memory: -28.7MiB live, 80.0MiB allocated
Compiler: Compiled 12 615 to 885 computations (93% saved)

prune44.0ms (1.8%)

Memory

3.3MiB live, 95.1MiB 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))
▶	52.9%	#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))
▶	48.2%	#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify5.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB 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 #s(literal 116 binary64) x)
cost-diff	0	#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))
cost-diff	0	#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Rules

4×	`lower-+.f64`
4×	`lower-fma.f32`
4×	`lower-*.f32`
4×	`lower-+.f32`
2×	`*-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 #s(literal 116 binary64) x))
(*.f64 #s(literal 116 binary64) x)
#s(literal 116 binary64)
x
(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 #s(literal 116 binary64) x))
#s(approx (- (* x 116) 16) (*.f64 x #s(literal 116 binary64)))
(*.f64 #s(literal 116 binary64) x)
(*.f64 x #s(literal 116 binary64))
#s(literal 116 binary64)
x
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
x
#s(literal 116 binary64)
#s(literal -16 binary64)

localize47.0ms (2%)

Memory

-22.3MiB live, 30.7MiB 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 #s(literal 116 binary64) x)
accuracy	30.126270730097684	#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))
accuracy	33.13549781263344	#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Samples

13.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 3.0ms (45.1% of total)

ival-sub: 2.0ms (30.1% of total)

ival-add: 1.0ms (15% 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

1.1MiB live, 1.1MiB 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 #s(literal 116 binary64) x)) (patch #s(approx (- ( x 116) 16) (*.f64 #s(literal 116 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 116 binary64) x) (patch (.f64 #s(literal 116 binary64) x) #<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 #s(literal 116 binary64) x)) (patch #s(approx (- ( x 116) 16) (*.f64 #s(literal 116 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) (.f64 #s(literal 116 binary64) x)) (patch #s(approx (- ( x 116) 16) (*.f64 #s(literal 116 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) (.f64 #s(literal 116 binary64) x)) (patch #s(approx (- ( x 116) 16) (*.f64 #s(literal 116 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 116 x) 16) (taylor 0 x) (#s(alt #s(approx (- (* x 116) 16) (.f64 #s(literal 116 binary64) x)) (patch #s(approx (- ( x 116) 16) (*.f64 #s(literal 116 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 #s(literal 116 binary64) x)) (patch #s(approx (- ( x 116) 16) (*.f64 #s(literal 116 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 #s(literal 116 binary64) x)) (patch #s(approx (- ( x 116) 16) (*.f64 #s(literal 116 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 #s(literal 116 binary64) x)) (patch #s(approx (- ( x 116) 16) (*.f64 #s(literal 116 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 116 (* 16 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 #s(literal 116 binary64) x)) (patch #s(approx (- ( x 116) 16) (*.f64 #s(literal 116 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 #s(literal 116 binary64) x)) (patch #s(approx (- ( x 116) 16) (*.f64 #s(literal 116 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 #s(literal 116 binary64) x)) (patch #s(approx (- ( x 116) 16) (*.f64 #s(literal 116 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 #s(literal 116 binary64) x)) (patch #s(approx (- ( x 116) 16) (*.f64 #s(literal 116 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 16 (/ 1 x)) 116))) (taylor -inf x) (#s(alt #s(approx (- (* x 116) 16) (.f64 #s(literal 116 binary64) x)) (patch #s(approx (- ( x 116) 16) (*.f64 #s(literal 116 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 #s(literal 116 binary64) x) (patch (.f64 #s(literal 116 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 #s(literal 116 binary64) x) (patch (.f64 #s(literal 116 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 #s(literal 116 binary64) x) (patch (.f64 #s(literal 116 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor 0 x) (#s(alt (.f64 #s(literal 116 binary64) x) (patch (.f64 #s(literal 116 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 #s(literal 116 binary64) x) (patch (.f64 #s(literal 116 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 #s(literal 116 binary64) x) (patch (.f64 #s(literal 116 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 #s(literal 116 binary64) x) (patch (.f64 #s(literal 116 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor inf x) (#s(alt (.f64 #s(literal 116 binary64) x) (patch (.f64 #s(literal 116 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 #s(literal 116 binary64) x) (patch (.f64 #s(literal 116 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 #s(literal 116 binary64) x) (patch (.f64 #s(literal 116 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 #s(literal 116 binary64) x) (patch (.f64 #s(literal 116 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 116 x) (taylor -inf x) (#s(alt (.f64 #s(literal 116 binary64) x) (patch (.f64 #s(literal 116 binary64) x) #<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	(* 116 x)
0.0ms	x	@	0	(- (* x 116) 16)
0.0ms	x	@	-inf	(* 116 x)
0.0ms	x	@	-inf	(+ (* x 116) -16)
0.0ms	x	@	0	(+ (* x 116) -16)

simplify15.0ms (0.6%)

Memory

9.7MiB live, 9.7MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`lower-fma.f64`
180×	`lower-fma.f32`
132×	`lower-*.f64`
132×	`lower-*.f32`
72×	`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 #s(literal 116 binary64) x #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(- (* 116 x) 16)
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))

rewrite285.0ms (11.8%)

Memory

46.0MiB live, 358.8MiB allocated

Rules

6 712×	`lower-fma.f32`
6 710×	`lower-fma.f64`
5 072×	`lower-/.f64`
5 072×	`lower-/.f32`
4 324×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
0	12	21
1	40	21
2	230	21
3	1898	21
0	8668	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 #s(literal 116 binary64) x))
(*.f64 #s(literal 116 binary64) x)
(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 x #s(literal 116 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 116 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 116 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 116 binary64))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 116 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 116 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 116 binary64))) (exp.f64 (log.f64 x)))
(+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))
(+.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)) #s(literal 256 binary64))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)) #s(literal 256 binary64)))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)) #s(literal 256 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64))))
(-.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -6393430016 binary64) #s(literal 16777216 binary64)))) (fma.f64 x (-.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)) #s(literal 256 binary64))) (/.f64 (/.f64 #s(literal 68719476736 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -6393430016 binary64) #s(literal 16777216 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)) #s(literal 256 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal 4096 binary64))) (fma.f64 x (-.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)) #s(literal 256 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal 4096 binary64))) (fma.f64 x (-.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)) #s(literal 256 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (fma.f64 #s(literal 181063936 binary64) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64)))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 #s(literal 181063936 binary64) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64)))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 181063936 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal 256 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal 256 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)) #s(literal 256 binary64)))) (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)) #s(literal 256 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -256 binary64)) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)) #s(literal 256 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -6393430016 binary64) #s(literal 16777216 binary64))))) (/.f64 #s(literal 68719476736 binary64) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)) #s(literal 256 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -6393430016 binary64) #s(literal 16777216 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)) #s(literal 256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal 4096 binary64)))) (/.f64 #s(literal 16777216 binary64) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)) #s(literal 256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal 4096 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64)) (fma.f64 #s(literal 181063936 binary64) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64))))) (/.f64 #s(literal 16777216 binary64) (.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64)) (fma.f64 #s(literal 181063936 binary64) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 181063936 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64)) (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64)) (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal 256 binary64)))))
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(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal -256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal -256 binary64)) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal -4096 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 13456 binary64)) #s(literal -1856 binary64)) #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal -256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal -256 binary64)) (neg.f64 (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal -256 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal -256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal -256 binary64)) (+.f64 #s(literal 256 binary64) (.f64 #s(literal -13456 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64))))

eval58.0ms (2.4%)

Memory: -52.6MiB live, 101.1MiB allocated
Compiler: Compiled 13 171 to 910 computations (93.1% saved)

prune74.0ms (3.1%)

Memory

-5.9MiB live, 93.2MiB 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))
✓	52.9%	#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))
✓	48.2%	#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Compiler

Compiled 29 to 17 computations (41.4% saved)

regimes6.0ms (0.3%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

regimes5.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
1.0ms	(*.f64 x #s(literal 116 binary64))
1.0ms	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
98.0%	3	`x`
98.0%	3	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
98.0%	3	`(*.f64 x #s(literal 116 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB 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
48.2%	1	`x`
48.2%	1	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
48.2%	1	`(*.f64 x #s(literal 116 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.495834940385755	492704.84248797025
0.0ms	-3455549.5701393136	-1.6350425815549347e-29

Compiler

Compiled 9 to 9 computations (0% saved)

simplify6.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	48
1	18	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 -2000000 binary64)) #s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x)) (if (<=.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 2 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))

Outputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(if (<=.f64 (.f64 x #s(literal 116 binary64)) #s(literal -2000000 binary64)) #s(approx (- ( x 116) 16) (.f64 #s(literal 116 binary64) x)) (if (<=.f64 (.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(approx (- (* x 116) 16) #s(literal -16 binary64)) #s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))))
(if (<=.f64 (.f64 x #s(literal 116 binary64)) #s(literal -2000000 binary64)) #s(approx (- ( x 116) 16) (.f64 x #s(literal 116 binary64))) (if (<=.f64 (.f64 x #s(literal 116 binary64)) #s(literal 2 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))

soundness138.0ms (5.7%)

Memory

-27.7MiB live, 156.5MiB allocated

Rules

9 662×	`lower-fma.f64`
9 662×	`lower-fma.f32`
4 548×	`lower-/.f64`
4 548×	`lower-/.f32`
4 348×	`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 25 computations (46.8% saved)

preprocess26.0ms (1.1%)

Memory: 22.3MiB live, 67.9MiB allocated
Compiler: Compiled 70 to 32 computations (54.3% 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%)

analyze0.0ms (0%)

sample914.0ms (37.9%)

explain54.0ms (2.3%)

preprocess19.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.2%)

localize13.0ms (0.6%)

series2.0ms (0.1%)

simplify355.0ms (14.7%)

rewrite292.0ms (12.1%)

eval41.0ms (1.7%)

prune44.0ms (1.8%)

simplify5.0ms (0.2%)

localize47.0ms (2%)

series1.0ms (0.1%)

simplify15.0ms (0.6%)

rewrite285.0ms (11.8%)

eval58.0ms (2.4%)

prune74.0ms (3.1%)

regimes6.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

soundness138.0ms (5.7%)

preprocess26.0ms (1.1%)

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