Metrics for Numeric.SpecFunctions:logGammaCorrection from math-functions-0.1.5.2

analyze0.0ms (0%)

Memory

0.4MiB 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 9 to 8 computations (11.1% saved)

sample700.0ms (24.6%)

Memory

16.1MiB live, 633.4MiB allocated

Samples

496.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 252.0ms

ival-mult: 138.0ms (54.8% of total)

ival-sub: 97.0ms (38.5% of total)

exact: 8.0ms (3.2% of total)

ival-true: 6.0ms (2.4% of total)

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

Bogosity

preprocess17.0ms (0.6%)

Memory

-1.4MiB live, 37.3MiB allocated

Algorithm

2×	egg-herbie

Rules

40×	`distribute-lft-neg-in`
36×	`associate-r`
32×	`associate-l`
26×	`sub-neg`
26×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	30	22
2	78	21
3	176	21
4	255	21
5	282	21
6	286	21
0	6	7
1	14	7
2	18	7
0	18	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (* (* x x) 2) 1)

Outputs
(- (* (* x x) 2) 1)
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))

Call 2

Inputs
(- (* (* x x) 2) 1)
(- (* (* (neg x) (neg x)) 2) 1)
(neg (- (* (* (neg x) (neg x)) 2) 1))

Outputs
(- (* (* x x) 2) 1)
(+ (* x (* x 2)) -1)
(- (* (* (neg x) (neg x)) 2) 1)
(+ (* x (* x 2)) -1)
(neg (- (* (* (neg x) (neg x)) 2) 1))
(+ 1 (* x (* x -2)))

Symmetry

(abs x)

explain68.0ms (2.4%)

Memory

-4.3MiB live, 154.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`#s(literal 1 binary64)`
-	-	`(.f64 (.f64 x x) #s(literal 2 binary64))`
-	-	`(*.f64 x x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

25.0ms

512×

valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (69.8% of total)

ival-sub: 3.0ms (23.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 2 binary64))
✓	cost-diff	128	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
8×	`accelerator-lowering-fma.f32`
8×	`accelerator-lowering-fma.f64`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	14	18
2	18	18
0	18	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (* (* x x) 2) 1)
(* (* x x) 2)
(* x x)
x
2
1

Outputs
(- (* (* x x) 2) 1)
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(* (* x x) 2)
(.f64 x (.f64 x #s(literal 2 binary64)))
(* x x)
(*.f64 x x)
x
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)

localize19.0ms (0.7%)

Memory

11.8MiB live, 49.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 2 binary64))

Samples

13.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (60.2% of total)

ival-sub: 1.0ms (20.1% 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

4.6MiB live, 4.6MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (- (* (* x x) 2) 1)>
#<alt (* (* x x) 2)>
#<alt (* x x)>

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

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(- (* (* x x) 2) 1)
0.0ms	x	@	0	(* (* x x) 2)
0.0ms	x	@	0	(- (* (* x x) 2) 1)
0.0ms	x	@	inf	(* (* x x) 2)
0.0ms	x	@	inf	(* x x)

rewrite587.0ms (20.6%)

Memory

-44.2MiB live, 901.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 208×	`accelerator-lowering-fma.f32`
12 208×	`accelerator-lowering-fma.f64`
3 996×	`-lowering-.f32`
3 996×	`-lowering-.f64`
3 976×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	28	15
2	170	15
3	1565	15
0	8550	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 244

Calls

Call 1

Inputs
(- (* (* x x) 2) 1)
(* (* x x) 2)
(* x x)

Outputs
(+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64)))) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64)))) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 512 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 1 binary64)))) (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 1 binary64))) (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 1 binary64))) (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 512 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 512 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))))) (/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))))))
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(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 512 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (.f64 (.f64 x x) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 2 binary64)))
(.f64 x (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 x (exp.f64 (log.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) x)
(.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (.f64 x x))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))

simplify258.0ms (9.1%)

Memory

15.7MiB live, 301.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 322×	`-lowering-.f32`
4 322×	`-lowering-.f64`
2 742×	`accelerator-lowering-fma.f32`
2 742×	`accelerator-lowering-fma.f64`
1 600×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	170
1	19	170
2	40	170
3	85	170
4	201	170
5	342	170
6	835	170
7	2313	170
8	3232	170
9	5538	170
0	8305	161

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
-1
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
-1
#s(literal -1 binary64)
(- (* 2 (pow x 2)) 1)
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval69.0ms (2.4%)

Memory: -25.5MiB live, 50.5MiB allocated
Compiler: Compiled 12 793 to 641 computations (95% saved)

prune30.0ms (1%)

Memory

13.4MiB live, 56.8MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	278	2	280
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	279	2	281

Accuracy

100.0%

Counts

281 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
▶	52.8%	#s(literal -1 binary64)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
8×	`accelerator-lowering-fma.f32`
8×	`accelerator-lowering-fma.f64`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	10	14
2	13	14
0	13	13

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
-1
(+ (* (* x x) 2) -1)
(* x x)
x
2
-1

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

localize21.0ms (0.8%)

Memory

-6.5MiB live, 30.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x x)

Samples

15.0ms

256×

valid

Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions

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

ival-mult: 7.0ms (76.5% of total)

ival-add: 1.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (+ (* (* x x) 2) -1)>
#<alt (* x x)>

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

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (* (* x x) 2) -1)
0.0ms	x	@	inf	(+ (* (* x x) 2) -1)
0.0ms	x	@	-inf	(+ (* (* x x) 2) -1)
0.0ms	x	@	-inf	(* x x)
0.0ms	x	@	0	(* x x)

rewrite437.0ms (15.3%)

Memory

6.9MiB live, 711.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 330×	`accelerator-lowering-fma.f32`
14 330×	`accelerator-lowering-fma.f64`
3 746×	`-lowering-.f32`
3 746×	`-lowering-.f64`
2 528×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	25	10
2	164	10
3	1475	10
0	9169	9

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 228

Calls

Call 1

Inputs
(+ (* (* x x) 2) -1)
(* x x)

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

simplify252.0ms (8.8%)

Memory

9.3MiB live, 257.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 322×	`-lowering-.f32`
4 322×	`-lowering-.f64`
2 742×	`accelerator-lowering-fma.f32`
2 742×	`accelerator-lowering-fma.f64`
1 600×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	110
1	19	110
2	40	110
3	85	110
4	201	110
5	342	110
6	835	110
7	2313	110
8	3232	110
9	5538	110
0	8305	101

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
-1
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
-1
#s(literal -1 binary64)
(- (* 2 (pow x 2)) 1)
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval32.0ms (1.1%)

Memory: 7.5MiB live, 81.6MiB allocated
Compiler: Compiled 8 775 to 514 computations (94.1% saved)

prune30.0ms (1%)

Memory

-9.9MiB live, 71.2MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	252	0	252
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	252	2	254

Accuracy

100.0%

Counts

254 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
✓	52.8%	#s(literal -1 binary64)

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes10.0ms (0.3%)

Memory

-14.5MiB live, 19.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Outputs
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))

Calls

4 calls:

2.0ms	x
2.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
2.0ms	(*.f64 x x)
1.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
100.0%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
1.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
52.8%	1	`x`
52.8%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
52.8%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
52.8%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

simplify7.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

soundness252.0ms (8.8%)

Memory

-21.2MiB live, 175.7MiB allocated

Rules

12 208×	`accelerator-lowering-fma.f32`
12 208×	`accelerator-lowering-fma.f64`
4 322×	`-lowering-.f32`
4 322×	`-lowering-.f64`
3 996×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	170
1	19	170
2	40	170
3	85	170
4	201	170
5	342	170
6	835	170
7	2313	170
8	3232	170
9	5538	170
0	8305	161
0	6	15
1	28	15
2	170	15
3	1565	15
0	8550	14

Stop Event

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

preprocess47.0ms (1.6%)

Memory: 11.2MiB live, 89.4MiB allocated
Remove: (abs x)
Compiler: Compiled 46 to 32 computations (30.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample700.0ms (24.6%)

preprocess17.0ms (0.6%)

explain68.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize19.0ms (0.7%)

series2.0ms (0.1%)

rewrite587.0ms (20.6%)

simplify258.0ms (9.1%)

eval69.0ms (2.4%)

prune30.0ms (1%)

simplify4.0ms (0.1%)

localize21.0ms (0.8%)

series0.0ms (0%)

rewrite437.0ms (15.3%)

simplify252.0ms (8.8%)

eval32.0ms (1.1%)

prune30.0ms (1%)

regimes10.0ms (0.3%)

regimes5.0ms (0.2%)

simplify7.0ms (0.2%)

soundness252.0ms (8.8%)

preprocess47.0ms (1.6%)

end0.0ms (0%)

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