Metrics for From Warwick Tucker's Validated Numerics

analyze0.0ms (0%)

Algorithm

1×

random

Compiler

Compiled 45 to 45 computations (0% saved)

sample2.8s (67.1%)

Results

2.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-pow: 721.0ms (39.8% of total)

ival-mult: 572.0ms (31.6% of total)

ival-add: 293.0ms (16.2% of total)

const: 79.0ms (4.4% of total)

ival-div: 73.0ms (4% of total)

ival-neg: 71.0ms (3.9% of total)

backward-pass: 2.0ms (0.1% of total)

Bogosity

preprocess91.0ms (2.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	2

Stop Event

1×

saturated

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 11 binary64) (*.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (*.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64)))) (/.f64 #s(literal 77617 binary64) (*.f64 #s(literal 2 binary64) #s(literal 33096 binary64))))

(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 11 binary64) (*.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (*.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64)))) (/.f64 #s(literal 77617 binary64) (*.f64 #s(literal 2 binary64) #s(literal 33096 binary64))))

Outputs
(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64)))) (/.f64 #s(literal 77617 binary64) (.f64 #s(literal 2 binary64) #s(literal 33096 binary64))))
#s(literal -54767/66192 binary64)
(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64)))) (/.f64 #s(literal 77617 binary64) (.f64 #s(literal 2 binary64) #s(literal 33096 binary64))))
#s(literal -54767/66192 binary64)

explain1.3s (29.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64))))
0	-	-	`#s(literal 11 binary64)`
0	-	-	`(.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))`
0	-	-	`(*.f64 #s(literal 2 binary64) #s(literal 33096 binary64))`
0	-	-	`(+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64))`
0	-	-	`(+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))))`
0	-	-	`(pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64))`
0	-	-	`#s(literal -2 binary64)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))`
0	-	-	`#s(literal 6 binary64)`
0	-	-	`(neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(*.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64)))`
0	-	-	(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64)))) (/.f64 #s(literal 77617 binary64) (.f64 #s(literal 2 binary64) #s(literal 33096 binary64))))
0	-	-	`(/.f64 #s(literal 77617 binary64) (*.f64 #s(literal 2 binary64) #s(literal 33096 binary64)))`
0	-	-	`#s(literal -121 binary64)`
0	-	-	`(*.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))`
0	-	-	`#s(literal 1335/4 binary64)`
0	-	-	`(*.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))`
0	-	-	`(pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))`
0	-	-	`#s(literal 33096 binary64)`
0	-	-	`#s(literal 77617 binary64)`
0	-	-	(+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64))))
0	-	-	`#s(literal 11/2 binary64)`
0	-	-	`(*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))`
0	-	-	`(.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)))`
0	-	-	`(pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64))`
0	-	-	`#s(literal 8 binary64)`
0	-	-	`(.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64)))`
0	-	-	`(+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64))))`

Results

987.0ms

512×

valid

Compiler

Compiled 572 to 572 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 875.0ms

ival-mult: 398.0ms (45.5% of total)

ival-pow: 272.0ms (31.1% of total)

ival-add: 116.0ms (13.3% of total)

ival-neg: 50.0ms (5.7% of total)

const: 30.0ms (3.4% of total)

ival-div: 8.0ms (0.9% of total)

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

eval0.0ms (0%)

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

prune0.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(literal -54767/66192 binary64)

Compiler

Compiled 1 to 1 computations (0% saved)

localize4.0ms (0.1%)

Results

2.0ms

256×

valid

Compiler

Compiled 2 to 2 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)

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Accuracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(literal -54767/66192 binary64)

Compiler

Compiled 46 to 46 computations (0% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(literal -54767/66192 binary64)

Outputs
#s(literal -54767/66192 binary64)

soundness11.0ms (0.3%)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	2

Stop Event

1×	done
1×	saturated

Compiler

Compiled 45 to 45 computations (0% saved)

preprocess26.0ms (0.6%)

Compiler: Compiled 90 to 90 computations (0% saved)

From Warwick Tucker's Validated Numerics

analyze0.0ms (0%)

sample2.8s (67.1%)

preprocess91.0ms (2.2%)

explain1.3s (29.7%)

eval0.0ms (0%)

prune0.0ms (0%)

localize4.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify2.0ms (0%)

soundness11.0ms (0.3%)

preprocess26.0ms (0.6%)

end0.0ms (0%)

Profiling