Metrics for Main:bigenough1 from B

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample541.0ms (17%)

Results

396.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-mult: 111.0ms (64.1% of total)

ival-add: 52.0ms (30% of total)

const: 7.0ms (4% of total)

backward-pass: 3.0ms (1.7% of total)

Bogosity

preprocess46.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

368×	`fnmadd-define`
268×	`fnmsub-define`
268×	`fmsub-define`
260×	`sum3-define`
216×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	28	14
2	96	12
3	355	12
4	812	12
5	1269	12
6	1317	12
0	3	5
1	7	4
2	12	4
3	18	4
4	22	4
5	32	4
6	34	4
0	34	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ x (* x x))

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

Call 2

Inputs
(+ x (* x x))
(+ (neg x) (* (neg x) (neg x)))
(neg (+ (neg x) (* (neg x) (neg x))))

Outputs
(+ x (* x x))
(fma x x x)
(+ (neg x) (* (neg x) (neg x)))
(fmsub x x x)
(neg (+ (neg x) (* (neg x) (neg x))))
(fnmadd x x x)

explain54.0ms (1.7%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 x x)`
-	-	`(+.f64 x (*.f64 x x))`

Results

24.0ms

512×

valid

Compiler

Compiled 28 to 11 computations (60.7% saved)

Precisions

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

ival-mult: 5.0ms (53.4% of total)

ival-add: 4.0ms (42.7% of total)

const: 1.0ms (10.7% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

22×	`-lowering-.f32`
22×	`-lowering-.f64`
18×	`fma-define`
14×	`fma-lowering-fma.f32`
14×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	15	17
2	18	17
3	30	17
4	32	17
0	32	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (+ x 1))
x
(+ x 1)
1
(+ x (* x x))
x
(* x x)

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

localize29.0ms (0.9%)

Localize:

Found 4 expressions of interest:

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

Results

21.0ms

256×

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

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

ival-mult: 4.0ms (55.5% of total)

ival-add: 3.0ms (41.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series2.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

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

12 calls:

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

rewrite343.0ms (10.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3048×	`/-lowering-/.f32`
3048×	`/-lowering-/.f64`
2654×	`-lowering-.f32`
2654×	`-lowering-.f64`
1446×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	38	14
2	284	14
3	2773	14
0	9190	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 396

Calls

Call 1

Inputs
(* x (+ x 1))
(+ x 1)
(+ x (* x x))
(* x x)

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

simplify305.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

5256×	`-lowering-.f32`
5256×	`-lowering-.f64`
2294×	`cube-prod`
2218×	`fma-define`
1870×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	170
1	33	170
2	51	152
3	128	152
4	1549	152
5	2742	152
6	3501	152
7	4544	152
8	5588	152
9	5915	152
10	6084	152
11	6229	152
12	6363	152
13	6647	152
14	7599	152
0	8133	152

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(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
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(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)

eval67.0ms (2.1%)

Compiler: Compiled 12275 to 782 computations (93.6% saved)

prune39.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	442	2	444
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	442	4	446

Accuracy

100.0%

Counts

446 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 x x))
✓	100.0%	(*.f64 x (+.f64 x #s(literal 1 binary64)))
▶	47.8%	(*.f64 x x)
▶	54.8%	x

Compiler

Compiled 18 to 10 computations (44.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)

Rules

2×	`-lowering-.f32`
2×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	5
0	2	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
x
(* x x)
x

Outputs
x
(* x x)
(*.f64 x x)
x

localize14.0ms (0.4%)

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)

Results

10.0ms

256×

valid

Compiler

Compiled 7 to 3 computations (57.1% saved)

Precisions

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

ival-mult: 3.0ms (101.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series0.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (* x x)>

Outputs
#<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

3 calls:

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

rewrite161.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2200×	`pow-lowering-pow.f64`
2200×	`pow-lowering-pow.f32`
1432×	`prod-exp`
1304×	`-lowering-.f32`
1304×	`-lowering-.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	2	3
1	4	3
2	11	3
3	27	3
4	75	3
5	234	1
6	1655	1
7	1684	1
8	1814	1
9	3107	1
0	8343	1

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(* x x)

Outputs
#s(literal 1 binary64)
x

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`pow-lowering-pow.f64`
2×	`pow-lowering-pow.f32`
2×	`-lowering-.f32`
2×	`-lowering-.f64`
2×	`unpow2`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(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
(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)

eval1.0ms (0%)

Compiler: Compiled 39 to 3 computations (92.3% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	13	5	18

Accuracy

100.0%

Counts

18 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 x x))
✓	100.0%	(*.f64 x (+.f64 x #s(literal 1 binary64)))
✓	47.8%	(*.f64 x x)
✓	54.8%	x
▶	4.1%	#s(literal 1 binary64)

Compiler

Compiled 20 to 12 computations (40% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	3	1
0	3	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
1

Outputs
1
#s(literal 1 binary64)

localize9.0ms (0.3%)

Results

7.0ms

256×

valid

Compiler

Compiled 3 to 3 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series0.0ms (0%)

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite9.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 x x))
✓	100.0%	(*.f64 x (+.f64 x #s(literal 1 binary64)))
✓	47.8%	(*.f64 x x)
✓	54.8%	x
✓	4.1%	#s(literal 1 binary64)

Compiler

Compiled 36 to 18 computations (50% saved)

regimes5.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(*.f64 x x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x (*.f64 x x))

Outputs
(+.f64 x (*.f64 x x))

Calls

2 calls:

2.0ms	x
2.0ms	(+.f64 x (*.f64 x x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 x (*.f64 x x))`

Compiler

Compiled 8 to 4 computations (50% saved)

regimes2.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(*.f64 x x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

Outputs
(*.f64 x x)
x
(*.f64 x x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

Outputs
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
54.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

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

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
4.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch25.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.00013975277456022188	2.3363961498030656
10.0ms	-734250.6677821883	-0.00022089140164111118

Results

15.0ms

272×

valid

Compiler

Compiled 146 to 91 computations (37.7% saved)

Precisions

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

ival-add: 7.0ms (75.1% of total)

ival-mult: 2.0ms (21.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`if-if-or-not_binary32`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	20	25

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 x x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 1 binary64)) x (.f64 x x)))
x
#s(literal 1 binary64)

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

soundness1.5s (45.7%)

Rules

5256×	`-lowering-.f32`
5256×	`-lowering-.f64`
2294×	`cube-prod`
2218×	`fma-define`
2200×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	170
1	33	170
2	51	152
3	128	152
4	1549	152
5	2742	152
6	3501	152
7	4544	152
8	5588	152
9	5915	152
10	6084	152
11	6229	152
12	6363	152
13	6647	152
14	7599	152
0	8133	152
0	3	5
1	7	4
2	12	4
3	18	4
4	22	4
5	32	4
6	34	4
0	34	4
0	2	3
1	4	3
2	11	3
3	27	3
4	75	3
5	234	1
6	1655	1
7	1684	1
8	1814	1
9	3107	1
0	8343	1

Stop Event

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

Compiler

Compiled 70 to 37 computations (47.1% saved)

preprocess28.0ms (0.9%)

Compiler: Compiled 68 to 28 computations (58.8% saved)

Main:bigenough1 from B

analyze0.0ms (0%)

sample541.0ms (17%)

preprocess46.0ms (1.4%)

explain54.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.2%)

localize29.0ms (0.9%)

series2.0ms (0.1%)

rewrite343.0ms (10.8%)

simplify305.0ms (9.6%)

eval67.0ms (2.1%)

prune39.0ms (1.2%)

simplify4.0ms (0.1%)

localize14.0ms (0.4%)

series0.0ms (0%)

rewrite161.0ms (5.1%)

simplify5.0ms (0.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

simplify3.0ms (0.1%)

localize9.0ms (0.3%)

series0.0ms (0%)

rewrite9.0ms (0.3%)

simplify5.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes5.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes4.0ms (0.1%)

regimes1.0ms (0%)

bsearch25.0ms (0.8%)

simplify9.0ms (0.3%)

soundness1.5s (45.7%)

preprocess28.0ms (0.9%)

end0.0ms (0%)

Profiling