Metrics for Main:bigenough1 from B

analyze1.0ms (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)

sample433.0ms (13.8%)

Results

289.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-mult: 80.0ms (59.8% of total)

ival-add: 45.0ms (33.6% of total)

const: 7.0ms (5.2% of total)

backward-pass: 3.0ms (2.2% of total)

Bogosity

preprocess37.0ms (1.2%)

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)

explain42.0ms (1.4%)

FPErrors

Click to see full error table

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

Results

23.0ms

512×

valid

Compiler

Compiled 28 to 11 computations (60.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (60.4% of total)

ival-add: 3.0ms (36.2% of total)

const: 0.0ms (0% 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))

Compiler

Compiled 6 to 3 computations (50% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

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	3	9
1	7	8
2	12	8
3	18	8
4	22	8
5	32	8
6	34	8
0	34	8

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize18.0ms (0.6%)

Localize:

Found 2 expressions of interest:

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

Results

14.0ms

256×

valid

Compiler

Compiled 11 to 4 computations (63.6% saved)

Precisions

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

ival-mult: 2.0ms (50.7% of total)

ival-add: 1.0ms (25.3% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<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 (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	@	inf	(+ x (* x x))
0.0ms	x	@	0	(+ x (* x x))
0.0ms	x	@	inf	(* x x)
0.0ms	x	@	0	(* x x)
0.0ms	x	@	-inf	(+ x (* x x))

rewrite398.0ms (12.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2676×	`/-lowering-/.f32`
2676×	`/-lowering-/.f64`
2172×	`-lowering-.f32`
2172×	`-lowering-.f64`
2110×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	3	8
1	21	7
2	172	7
3	1745	7
0	8573	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 134

Calls

Call 1

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

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

simplify366.0ms (11.7%)

Algorithm

1×	egg-herbie

Rules

5872×	`-lowering-.f32`
5872×	`-lowering-.f64`
2528×	`cube-prod`
2280×	`/-lowering-/.f32`
2280×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	88
1	27	88
2	47	79
3	91	79
4	169	79
5	1151	79
6	2584	79
7	3398	79
8	4590	79
9	5780	79
10	6175	79
11	6398	79
12	6595	79
13	6797	79
14	7139	79
0	8328	79

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

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)))
(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)))
(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)

eval21.0ms (0.7%)

Compiler: Compiled 5482 to 409 computations (92.5% saved)

prune18.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	156	3	159

Accuracy

100.0%

Counts

159 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 x x))
▶	50.5%	(*.f64 x x)
▶	53.2%	x

Compiler

Compiled 12 to 6 computations (50% 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

localize15.0ms (0.5%)

Localize:

Found 1 expressions of interest:

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

Results

11.0ms

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: 2.0ms (77.4% 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)

rewrite139.0ms (4.5%)

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)

prune36.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	13	4	17

Accuracy

100.0%

Counts

17 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 x x))
✓	50.5%	(*.f64 x x)
✓	53.2%	x
▶	4.0%	#s(literal 1 binary64)

Compiler

Compiled 14 to 8 computations (42.9% 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)

localize6.0ms (0.2%)

Results

4.0ms

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

simplify3.0ms (0.1%)

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)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 x x))
✓	50.5%	(*.f64 x x)
✓	53.2%	x
✓	4.0%	#s(literal 1 binary64)

Compiler

Compiled 25 to 12 computations (52% saved)

regimes27.0ms (0.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	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

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
98.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

Outputs
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
53.2%	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
4.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch30.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.1483908409299783e-8	96.33556320185215
11.0ms	-2.4902133193106892	-3.0747364306734503e-12

Results

19.0ms

304×

valid

Compiler

Compiled 162 to 101 computations (37.7% saved)

Precisions

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

ival-mult: 11.0ms (87.5% of total)

ival-add: 2.0ms (15.9% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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	9	20
1	16	20

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 x x))
(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))
(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 (46.9%)

Rules

5872×	`-lowering-.f32`
5872×	`-lowering-.f64`
2528×	`cube-prod`
2280×	`/-lowering-/.f32`
2280×	`/-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
0	9	88
1	27	88
2	47	79
3	91	79
4	169	79
5	1151	79
6	2584	79
7	3398	79
8	4590	79
9	5780	79
10	6175	79
11	6398	79
12	6595	79
13	6797	79
14	7139	79
0	8328	79

Stop Event

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

Compiler

Compiled 35 to 15 computations (57.1% saved)

preprocess26.0ms (0.8%)

Compiler: Compiled 58 to 24 computations (58.6% saved)

Main:bigenough1 from B

analyze1.0ms (0%)

sample433.0ms (13.8%)

preprocess37.0ms (1.2%)

explain42.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize18.0ms (0.6%)

series1.0ms (0%)

rewrite398.0ms (12.7%)

simplify366.0ms (11.7%)

eval21.0ms (0.7%)

prune18.0ms (0.6%)

simplify4.0ms (0.1%)

localize15.0ms (0.5%)

series0.0ms (0%)

rewrite139.0ms (4.5%)

simplify5.0ms (0.1%)

eval1.0ms (0%)

prune36.0ms (1.2%)

simplify3.0ms (0.1%)

localize6.0ms (0.2%)

series0.0ms (0%)

rewrite9.0ms (0.3%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes27.0ms (0.9%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes1.0ms (0%)

bsearch30.0ms (0.9%)

simplify8.0ms (0.2%)

soundness1.5s (46.9%)

preprocess26.0ms (0.8%)

end0.0ms (0%)

Profiling