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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample623.0ms (20.7%)

Memory

33.0MiB live, 944.5MiB allocated

Samples

457.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-mult: 132.0ms (69% of total)

ival-sub: 45.0ms (23.5% of total)

exact: 7.0ms (3.7% of total)

ival-true: 5.0ms (2.6% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess36.0ms (1.2%)

Memory

-21.1MiB live, 25.4MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`associate-r`
36×	`distribute-lft-neg-in`
30×	`associate-l`
28×	`distribute-rgt-neg-in`
24×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	25	15
2	72	14
3	178	14
4	255	14
5	280	14
6	284	14
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))

Symmetry

(abs x)

explain129.0ms (4.3%)

Memory

-3.8MiB live, 153.8MiB 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

84.0ms

512×

valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

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

ival-mult: 6.0ms (61% of total)

ival-sub: 2.0ms (20.3% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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

4.7MiB live, 4.7MiB 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)

localize18.0ms (0.6%)

Memory

-0.9MiB live, 38.0MiB 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

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (79.8% of total)

ival-sub: 1.0ms (16% 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

3.8MiB live, 3.8MiB 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)

rewrite728.0ms (24.2%)

Memory

-9.0MiB live, 554.7MiB 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)))) (neg.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))))))
(+.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))) (neg.f64 (/.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) (neg.f64 (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)))))) (neg.f64 (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))) (neg.f64 (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 (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 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #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 (neg.f64 (*.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))

simplify193.0ms (6.4%)

Memory

23.9MiB live, 332.5MiB 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) (*.f64 x x) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* 2 (pow x 2)) 1)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval60.0ms (2%)

Memory: 2.6MiB live, 85.5MiB allocated
Compiler: Compiled 12 489 to 636 computations (94.9% saved)

prune31.0ms (1%)

Memory

-18.3MiB live, 102.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	277	3	280
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	278	3	281

Accuracy

100.0%

Counts

281 → 3

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))
▶	54.2%	(.f64 #s(literal 2 binary64) (.f64 x x))
▶	45.6%	#s(literal -1 binary64)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify4.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	12	24
2	14	24
0	14	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize23.0ms (0.8%)

Memory

21.4MiB live, 60.8MiB allocated

Localize:

Found 4 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)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 x x))

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (81.3% of total)

ival-add: 1.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.5MiB live, 1.6MiB allocated

Counts

3 → 36

Calls

Call 1

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

Outputs
#<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)>
#<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))))>

Calls

9 calls:

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

rewrite442.0ms (14.7%)

Memory

-10.0MiB live, 857.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

15 882×	`accelerator-lowering-fma.f32`
15 882×	`accelerator-lowering-fma.f64`
3 842×	`-lowering-.f32`
3 842×	`-lowering-.f64`
2 656×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	27	15
2	179	15
3	1564	15
0	9018	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 257

Calls

Call 1

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

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

simplify191.0ms (6.3%)

Memory

-19.3MiB live, 281.3MiB 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`
1 586×	`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	840	170
7	2294	170
8	3210	170
9	5524	170
0	8307	161

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(* 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)
-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))))

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

eval40.0ms (1.3%)

Memory: 15.9MiB live, 91.4MiB allocated
Compiler: Compiled 9 155 to 562 computations (93.9% saved)

prune37.0ms (1.2%)

Memory

-15.7MiB live, 94.9MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	319	0	319
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	319	3	322

Accuracy

100.0%

Counts

322 → 3

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))
✓	54.2%	(.f64 #s(literal 2 binary64) (.f64 x x))
✓	45.6%	#s(literal -1 binary64)

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes8.0ms (0.3%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

regimes6.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.1%	2	`x`
98.1%	2	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
98.1%	2	`(.f64 (.f64 x x) #s(literal 2 binary64))`
98.1%	2	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes8.0ms (0.3%)

Memory

-32.1MiB live, 13.7MiB 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:

5.0ms	(*.f64 x x)
1.0ms	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
45.6%	1	`x`
45.6%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
45.6%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
45.6%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch9.0ms (0.3%)

Memory

18.0MiB live, 18.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.0036912127708036667	1.140375371379175

Samples

4.0ms

128×

valid

Compiler

Compiled 75 to 66 computations (12% saved)

Precisions

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

ival-sub: 1.0ms (64.8% of total)

ival-mult: 1.0ms (64.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.3%)

Memory

-22.3MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	10	19

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))

#s(literal -1 binary64)

Outputs
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(if (<=.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(literal -1 binary64)

soundness375.0ms (12.5%)

Memory

-7.1MiB live, 281.6MiB 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 37 to 22 computations (40.5% saved)

preprocess27.0ms (0.9%)

Memory: 28.2MiB live, 67.2MiB allocated
Remove: (abs x)
Compiler: Compiled 70 to 40 computations (42.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample623.0ms (20.7%)

preprocess36.0ms (1.2%)

explain129.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize18.0ms (0.6%)

series2.0ms (0.1%)

rewrite728.0ms (24.2%)

simplify193.0ms (6.4%)

eval60.0ms (2%)

prune31.0ms (1%)

simplify4.0ms (0.1%)

localize23.0ms (0.8%)

series1.0ms (0%)

rewrite442.0ms (14.7%)

simplify191.0ms (6.3%)

eval40.0ms (1.3%)

prune37.0ms (1.2%)

regimes8.0ms (0.3%)

regimes6.0ms (0.2%)

regimes8.0ms (0.3%)

bsearch9.0ms (0.3%)

simplify9.0ms (0.3%)

soundness375.0ms (12.5%)

preprocess27.0ms (0.9%)

end0.0ms (0%)

Profiling